Dr Sanjaye Ramgoolam
Reader in Theoretical Physics
School of Physical and Chemical Sciences
Queen Mary University of London
Queen Mary University of London
Research
String theory, Quantum field theory, Representation theory, Combinatorics
Interests
A primary area of focus in my research is gauge-string duality, notably the AdS/CFT correspondence, which relates 4-dimensional quantum field theory (QFT) to 10-dimensional string theory. I have developed a mathematical framework based on representation theory and combinatorics for understanding the map between states in the QFT and states of strings, branes and geometries in the 10 dimensions. The framework also has implications for simpler models of gauge-string duality such as zero-dimensional matrix models, one-dimensional quantum mechanics systems and two dimensional Yang-Mills theory. A recent discovery is the construction of general Gaussian permutation invariant matrix models for applications to real world matrix ensembles. The combinatorics of permutation invariant observables has also been applied to uncover the thermodynamics of permutation invariant matrix quantum mechanics.Publications
Publications of specific relevance to the Centre for Fundamental Physics2024
Permutation invariant Gaussian matrix models for financial correlation matricesBarnes G, Ramgoolam S and Stephanou M
Physica a Statistical Mechanics and Its Applications, Elsevier vol. 651
01-10-2024
Permutation invariant tensor models and partition algebrasBarnes G, Padellaro A and Ramgoolam S
Annales De L’Institut Henri Poincaré D, Ems Press
06-08-2024
Gauged permutation invariant matrix quantum mechanics: partition functionsO’Connor D and Ramgoolam S
Journal of High Energy Physics, Springer Nature vol. 2024 (7)
17-07-2024
Gauged permutation invariant matrix quantum mechanics: path integralsO’Connor D and Ramgoolam S
Journal of High Energy Physics, Springer Nature vol. 2024 (4)
16-04-2024
Row–column duality and combinatorial topological stringsPadellaro A, Radhakrishnan R and Ramgoolam S
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 57 (6)
30-01-2024
String theory for builders: New mathematical perspectives on algorithms and complexity in quantum physicsRamgoolam S
Research Features, Research Publishing International
01-01-2024
2023
Kronecker coefficients from algebras of bi-partite ribbon graphsGeloun JB and Ramgoolam S
The European Physical Journal Special Topics, Springer Nature vol. 232 (23-24), 3637-3643.
26-05-2023
The quantum detection of projectors in finite-dimensional algebras and holographyGeloun JB and Ramgoolam S
Journal of High Energy Physics, Springer Nature vol. 2023 (5)
24-05-2023
Quantum mechanics of bipartite ribbon graphs: Integrality, Lattices and Kronecker coefficientsGeloun JB and Ramgoolam S
Algebraic Combinatorics, Cellule Mathdoc/Centre Mersenne vol. 6 (2), 547-594.
03-05-2023
Matrix and tensor witnesses of hidden symmetry algebrasRamgoolam S and Sword L
Journal of High Energy Physics, Springer vol. 2023 (3)
09-03-2023
N = 4 SYM, (super)-polynomial rings and emergent quantum mechanical symmetriesde Mello Koch R and Ramgoolam S
Journal of High Energy Physics, Springer Nature vol. 2023 (2)
17-02-2023
2022
Permutation symmetry in large-N matrix quantum mechanics and partition algebrasBarnes G, Padellaro A and Ramgoolam S
Physical Review D, American Physical Society (Aps) vol. 106 (10)
15-11-2022
All-orders asymptotics of tensor model observables from symmetries of restricted partitionsGeloun JB and Ramgoolam S
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 55 (43)
28-10-2022
Combinatoric topological string theories and group theory algorithmsRamgoolam S and Sharpe E
Journal of High Energy Physics, Springer Nature vol. 2022 (10)
20-10-2022
Hidden symmetries and large N factorisation for permutation invariant matrix observablesBarnes G, Padellaro A and Ramgoolam S
Journal of High Energy Physics, Springer Nature vol. 2022 (8)
05-08-2022
Gaussianity and typicality in matrix distributional semanticsRamgoolam S, Sadrzadeh M and Sword L
Annales De L’Institut Henri Poincaré D Combinatorics Physics and Their Interactions, European Mathematical Society - Ems - Publishing House vol. 9 (1), 1-45.
11-04-2022
Permutation invariant Gaussian two-matrix modelsBarnes G, Padellaro A and Ramgoolam S
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 55 (14)
16-03-2022
Integrality, duality and finiteness in combinatoric topological stringsde Mello Koch R, He Y-H, Kemp G and Ramgoolam S
Journal of High Energy Physics, Springer Nature vol. 2022 (1)
01-01-2022
Higher Dimensional CFTs as 2D Conformally-Equivariant Topological Field Theoriesde Mello Koch R and Ramgoolam S
In Lie Theory and Its Applications in Physics, Springer Nature 151-170.
01-01-2022
2021
All-orders asymptotics of tensor model observables from symmetries of restricted partitionsGeloun JB and Ramgoolam S
02-06-2021
Quarter-BPS states, multi-symmetric functions and set partitionsLewis-Brown C and Ramgoolam S
The Journal of High Energy Physics, Springer Verlag (Germany) vol. 2021 (3), 153-153.
16-03-2021
2020
Quantum mechanics of bipartite ribbon graphs: Integrality, Lattices and Kronecker coefficientsGeloun JB and Ramgoolam S
08-10-2020
Perturbative 4D conformal field theories and representation theory of diagram algebrasde Mello Koch R and Ramgoolam S
Journal of High Energy Physics, Springer Nature vol. 2020 (5)
01-05-2020
Quiver asymptotics: N=1 free chiral ringRamgoolam S, Wilson MC and Zahabi A
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 53 (10)
20-02-2020
BPS states, conserved charges and centres of symmetric group algebrasKemp G and Ramgoolam S
Journal of High Energy Physics, Springer Nature vol. 2020 (1)
01-01-2020
2019
Gaussianity and typicality in matrix distributional semanticsRamgoolam S, Sadrzadeh M and Sword L
19-12-2019
Permutation invariant Gaussian matrix modelsRamgoolam S
Nuclear Physics B, Elsevier vol. 945 Editors: Saleur H.
27-06-2019
Linguistic matrix theoryKartsaklis D, Ramgoolam S and Sadrzadeh M
Annales De L’Institut Henri Poincaré D Combinatorics Physics and Their Interactions, European Mathematical Society - Ems - Publishing House vol. 6 (3), 385-426.
07-05-2019
Quantum information processing and composite quantum fieldsRamgoolam S and Sedlak M
Journal of High Energy Physics, Springer Berlin Heidelberg (170), 1-17.
22-01-2019
2018
BPS operators in N=4 SO(N) super Yang-Mills theory: plethysms, dominoes and wordsLewis-Brown C and Ramgoolam S
Journal of High Energy Physics (11)
07-11-2018
Free field primaries in general dimensions: counting and construction with rings and modulesKoch RDM and Ramgoolam S
Journal of High Energy Physics (8)
16-08-2018
2017
Tensor Models, Kronecker coefficients and Permutation Centralizer
AlgebrasGeloun JB and Ramgoolam S
Journal of High Energy Physics, Springer Verlag (Germany)
15-11-2017
Free quantum fields in 4D and Calabi-Yau spacesKoch RDM, Rabambi P, Rabe R and Ramgoolam S
Physical Review Letters
16-10-2017
Counting and construction of holomorphic primary fields in free CFT4 from rings of functions on Calabi-Yau orbifoldsKoch RDM, Rabambi P, Rabe R and Ramgoolam S
Journal of High Energy Physics (Jhep).
18-08-2017
2016
Flavour singlets in gauge theory as permutationsKimura Y, Ramgoolam S and Suzuki R
Journal of High Energy Physics vol. 2016 (12)
28-12-2016
Permutations and the combinatorics of gauge invariants for general $N$Ramgoolam S
, Sissa Medialab Srl
11-11-2016
Highest Weight Generating functions for hyperKahler T*(G/H) spacesHanany A, Ramgoolam S and Rodriguez-Gomez D
Journal of High Energy Physics
05-10-2016
Gauge invariants and correlators in flavoured quiver gauge theoriesMattioli P and Ramgoolam S
Nuclear Physics B vol. 911, 638-711.
01-10-2016
Consistency and derangements in brane tilingsHanany A, Jejjala V, Ramgoolam S and Seong R-K
Journal of Physics a: Mathematical and Theoretical vol. 49 (35), 355401-355401.
29-07-2016
Interactions as intertwiners in 4D QFTde Mello Koch R and Ramgoolam S
Journal of High Energy Physics vol. 2016 (3)
23-03-2016
Permutation Centralizer Algebras and Multi-Matrix InvariantsMattioli P and Ramgoolam S
Physical Review D - Particles, Fields, Gravitation, and Cosmology, American Physical Society
21-03-2016
2015
The geometry of the light-cone cell decomposition of moduli spaceGarner D and Ramgoolam S
Journal of Mathematical Physics vol. 56 (11)
01-11-2015
Chiral Ring Generating Functions & Branches of Moduli SpaceMcGrane J, Ramgoolam S and Wecht B
30-07-2015
Permutation combinatorics of worldsheet moduli spaceFreidel L, Garner D and Ramgoolam S
Physical Review D, American Physical Society (Aps) vol. 91 (12)
09-06-2015
Quivers, words and fundamentalsMattioli P and Ramgoolam S
Journal of High Energy Physics vol. 2015 (3)
21-02-2015
2014
Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime
in AdS5Garner D, Ramgoolam S and Wen C
Journal of High Energy Physics, Springer
17-11-2014
2013
Counting Tensor Model Observables and Branched Covers of the 2-SphereGeloun JB and Ramgoolam S
Ann.Inst.H.Poincare Comb.Phys.Interact. vol. 1
24-07-2013
On the refined counting of graphs on surfacesde Mello Koch R, Ramgoolam S and Wen C
Nuclear Physics B, Elsevier vol. 870 (3), 530-581.
01-05-2013
Holographic Hierarchy in the Gaussian Matrix Model via the Fuzzy SphereGarner D and Ramgoolam S
Nucl.Phys. B vol. 875, 244-313.
13-03-2013
Quivers as Calculators: Counting, Correlators and Riemann SurfacesPasukonis J and Ramgoolam S
The Journal of High Energy Physics, Springer Berlin Heidelberg vol. 94 (04)
09-01-2013
2012
Quantum states to brane geometries via fuzzy moduli spaces of giant
gravitonsPasukonis J and Ramgoolam S
26-01-2012
INVARIANTS OF TORIC SEIBERG DUALITYHanany A, He Y-H, Jejjala V, Pasukonis J, Ramgoolam S and Rodriguez-Gomez D
International Journal of Modern Physics A vol. 27 (1)
01-01-2012
2011
Invariants of Toric Seiberg DualityHanany A, He Y-H, Jejjala V, Pasukonis J, Ramgoolam S and Rodriguez-Gomez D
20-07-2011
Calabi-Yau Orbifolds and Torus CoveringsHanany A, Jejjala V, Ramgoolam S and Seong R-K
Jhep vol. 1109
17-05-2011
The Beta Ansatz: A Tale of Two Complex StructuresHanany A, He Y-H, Jejjala V, Pasukonis J, Ramgoolam S and Rodriguez-Gomez D
Jhep vol. 1106
28-04-2011
Calabi-Yau orbifolds and torus coveringsHanany A, Jejjala V, Ramgoolam S and Seong R-K
Journal of High Energy Physics (9)
01-01-2011
2010
Toric CFTs, Permutation Triples, and Belyi PairsJejjala V, Ramgoolam S and Rodriguez-Gomez D
Jhep vol. 1103
10-12-2010
From counting to construction of BPS states in N=4 SYMPasukonis J and Ramgoolam S
Jhep vol. 1102
08-10-2010
From Matrix Models and quantum fields to Hurwitz space and the absolute
Galois groupKoch RDM and Ramgoolam S
08-02-2010
2009
Free particles from Brauer algebras in complex matrix modelsKimura Y, Ramgoolam S and Turton D
Jhep vol. 1005
23-11-2009
The fuzzy S-2 structure of M2-M5 systems in ABJM membrane theoriesNastase H, Papageorgakis C and Ramgoolam S
J High Energy Phys vol. 2009 (5)
01-05-2009
Diagonal free field matrix correlators, global symmetries and giant gravitonsBrown TW, Heslop PJ and Ramgoolam S
J High Energy Phys vol. 2009 (4)
01-04-2009
2008
Enhanced symmetries of gauge theory and resolving the spectrum of local operatorsKimura Y and Ramgoolam S
Phys Rev D vol. 78 (12)
01-12-2008
Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-MillsKimura Y and Ramgoolam S
J High Energy Phys (6)
01-06-2008
Diagonal multi-matrix correlators and BPS operators in N=4 SYMBrown TW, Heslop PJ and Ramgoolam S
J High Energy Phys vol. 2008 (2)
01-02-2008
Schur-Weyl duality as an instrument of gauge-string dualityRamgoolam S
TEN YEARS OF ADS/CFT. vol. 1031, 255-265. Editors: Edelstein JD, Grandi N, Nunez C and Schveillinger M.
01-01-2008
2007
Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity dualityKimura Y and Ramgoolam S
Jhep vol. 0711
13-09-2007
Large N expansion of q-deformed two-dimensional Yang-Mills theory and Hecke algebrasde Haro S, Ramgoolam S and Torrielli A
Commun Math Phys vol. 273 (2), 317-355.
01-07-2007
Correlators, probabilities and topologies in N=4 SYMBrown T, Ramgoolam S, Koch RD and Toumbas N
J High Energy Phys (3)
01-03-2007
2006
On time-dependent collapsing branes and fuzzy odd-dimensional spheresPapageorgakis C and Ramgoolam S
Int J Mod Phys A vol. 21 (30), 6055-6086.
10-12-2006
Finite N effects on the collapse of fuzzy spheresMcNamara S, Papageorgakis C, Ramgoolam S and Spence WJ
J High Energy Phys (5)
01-05-2006
Noncommutative geometry, quantum effects and DBI-scaling in the collapse of D0-D2 bound statesPapageorgakis C, Ramgoolam S and Toumbas N
J High Energy Phys (1)
01-01-2006
2005
On exponential corrections to the 1/N expansion in two-dimensional Yang MillsKoch RD, Jevicki A and Ramgoolam S
J High Energy Phys (8)
01-08-2005
Non-associative gauge theory and higher spin interactionsde Medeiros P and Ramgoolam S
J High Energy Phys (3)
01-03-2005
Large-small dualities between periodic collapsing/expanding branes and brane funnelsRAMGOOLAM SK and Papageorgakis C
Jhep
01-01-2005
2004
Resolving brane collapse with 1/N corrections in non-Abelian DBIRamgoolam S, Spence B and Thomas S
Nucl Phys B vol. 703 (1-2), 236-276.
20-12-2004
Towards gauge theory for a class of commutative and non-associative fuzzy spacesRamgoolam S
J High Energy Phys (3)
01-03-2004
Strings on plane waves, super-Yang-Mills in four dimensions, quantum groups at roots of oneCorley S and Ramgoolam S
Nucl Phys B vol. 676 (1-2), 99-128.
05-01-2004
Resolving brane collapse with 1/N corrections in non-Abelian DBITHOMAS S, Ramgoolam S and Spence B
Npb
01-01-2004
2003
Massive IIA string theory and Matrix theory compactificationLowe DA, Nastase H and Ramgoolam S
Nucl Phys B vol. 667 (1-2), 55-89.
08-09-2003
2002
Finite factorization equations and sum rules for BPS correlators in N=4 SYM theoryCorley S and Ramgoolam S
Nucl Phys B vol. 641 (1-2), 131-187.
07-10-2002
Higher dimensional geometries related to fuzzy odd-dimensional spheresRamgoolam S
J High Energy Phys (10)
01-10-2002
Higher-dimensional geometries from matrix brane constructionsHo PM and Ramgoolam S
Nucl Phys B vol. 627 (1-2), 266-288.
15-04-2002
2001
Einstein-Hilbert on the braneCorley S, Lowe DA and Ramgoolam S
JOURNAL OF THE KOREAN PHYSICAL SOCIETY. vol. 39, S566-S571.
01-12-2001
On spherical harmonics for fuzzy spheres in diverse dimensionsRamgoolam S
Nucl Phys B vol. 610 (3), 461-488.
10-09-2001
Exact correlators of giant gravitons from dual N=4 SYM theoryRAMGOOLAM SK, Jevicki A and Corley S
Advances in Theoretical and Mathematical Physics vol. 5 (4), 809-839.
01-07-2001
Einstein-Hilbert action on the brane for the bulk gravitonCorley S, Lowe DA and Ramgoolam S
J High Energy Phys vol. 2001 (7)
01-07-2001
Projector equivalences in K theory and families of non-commutative solitonsCorley S and Ramgoolam S
J High Energy Phys vol. 2001 (3)
01-03-2001
On the polarization of unstable D0-branes into non-commutative odd spheresGuralnik Z and Ramgoolam S
J High Energy Phys vol. 2001 (2)
01-02-2001
2000
Non-commutative spheres and the AdS/CFT correspondenceJevicki A, Mihailescu M and Ramgoolam S
J High Energy Phys vol. 2000 (10)
01-10-2000
A remark on T-duality and quantum volumes of zero-brane moduli spacesRamgoolam S
J High Energy Phys vol. 2000 (9)
01-09-2000
Duality and Combinatorics of Long Strings in ADS3Mihailescu M and Ramgoolam S
Nucl.Phys. B vol. 587, 179-194.
01-02-2000
1999
Gravity from CFT on $S^N(X)$ CFT: Symmetries and InteractionsJevicki A, Mihailescu M and Ramgoolam S
Nucl.Phys. B vol. 577, 47-72.
17-07-1999
Quantum Spacetimes and Finite N Effects in 4D Super Yang-Mills TheoriesHo P-M, Ramgoolam S and Tatar R
Nucl.Phys. B vol. 573, 364-376.
17-07-1999
Non commutative gravity from the ADS/CFT correspondenceJevicki A and Ramgoolam S
Jhep vol. 9904
08-02-1999
1998
1997
Scattering of zero branes off elementary strings in Matrix TheoryGopakumar R and Ramgoolam S
Nucl.Phys. B vol. 514, 177-190.
05-08-1997
Higher Loop Effects in M(atrix) OrbifoldsGanor OJ, Gopakumar R and Ramgoolam S
Nucl.Phys. B vol. 511, 243-263.
24-05-1997
Torons and D-Brane Bound StatesGuralnik Z and Ramgoolam S
Nucl.Phys. B vol. 499, 241-252.
12-02-1997
1996
Branes, Fluxes and Duality in M(atrix)-TheoryGanor OJ, Ramgoolam S and IV WT
Nucl.Phys.B vol. 492, 191-204.
24-11-1996
1995
Some properties of unstable monopoles in Super-QCDBarbon JLF and Ramgoolam S
Phys.Rev. D vol. 55, 1013-1020.
11-12-1995
1994
Wilson Loops in 2D Yang Mills: Euler characters and Loop equationsRamgoolam S
Int.J.Mod.Phys. A vol. 11, 3885-3933.
13-12-1994
Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological
Field TheoriesCordes S, Moore G and Ramgoolam S
Nucl.Phys.Proc.Suppl. vol. 41, 184-244.
21-11-1994
Large N 2D Yang-Mills Theory and Topological String TheoryCordes S, Moore G and Ramgoolam S
Commun.Math.Phys. vol. 185, 543-619.
18-02-1994
1993
Comment on Two Dimensional O(N) and Sp(N) Yang Mills Theories as String
TheoriesRamgoolam S
Nucl.Phys. B vol. 418, 30-44.
14-07-1993
1991
Exact S-Matrix for 2D String TheoryMoore G, Plesser MR and Ramgoolam S
Nucl.Phys.B vol. 377, 143-190.
20-11-1991
Grants
Grants of specific relevance to the Centre for Fundamental PhysicsCombinatorics and algorithms for quantum states in holographySanjaye Ramgoolam
£12,000 Royal Society
01-01-2025 - 31-12-2026
Amplitudes, Strings and Duality (CG 2022)Andreas Brandhuber, David Berman, Matthew Buican, Rodolfo Russo, David Vegh, Sanjaye Ramgoolam, Gabriele Travaglini, Christopher White, Bill Spence, Congkao Wen, Constantinos Papageorgakis, Ricardo Monteiro and Malcolm Perry
£1,477,966 Science & Technology Research Council (STFC)
01-10-2023 - 30-09-2026
International Exchanges 2022: String theory and computational algorithmsSanjaye Ramgoolam
£12,000 Royal Society
17-02-2023 - 01-11-2025
Amplitudes, Strings and DualityAndreas Brandhuber, Bill Spence, Rodolfo Russo, Sanjaye Ramgoolam, Matthew Buican, Michael Green, Steven Thomas, Steven Thomas, Gabriele Travaglini, Congkao Wen, Constantinos Papageorgakis, David Berman, Christopher White, David Vegh, Ricardo Monteiro and Malcolm Perry
£890,210 Science & Technology Research Council (STFC)
01-10-2020 - 31-03-2024