Counting BPS operators in N = 4 SYM

Nuclear Physics B

Volumn 790, Issue 3, 2008, Pages 432-464

  Dolan, F A ^a  

^a DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

Author keywords

Characters; Gauge theory; N = 4 super Yang Mills; Partition functions

Indexed keywords

EID: 36048957883     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2007.07.026     Document Type: Article

References (51)

1. Kinney J., Maldacena J.M., Minwalla S., and Raju S. An index for 4-dimensional super-conformal theories. hep-th/0510251
2. Martelli D., Sparks J., and Yau S.T. Sasaki-Einstein manifolds and volume minimisation. hep-th/0603021
3. Benvenuti S., Feng B., Hanany A., and He Y.H. Counting BPS operators in gauge theories: Quivers, syzygies and plethystics. hep-th/0608050
4. Martelli D., and Sparks J. Dual giant gravitons in Sasaki-Einstein backgrounds. Nucl. Phys. B 759 (2006) 292. hep-th/0608060
5. n (Sasaki-Einstein). hep-th/0608093
6. Butti A., Forcella D., and Zaffaroni A. Counting BPS baryonic operators in CFTs with Sasaki-Einstein duals. hep-th/0611229
7. Hanany A., and Romelsberger C. Counting BPS operators in the chiral ring of N = 2 supersymmetric gauge theories or N = 2 braine surgery. hep-th/0611346
8. Grant L., and Narayan K. Mesonic chiral rings in Calabi-Yau cones from field theory. hep-th/0701189
9. Feng B., Hanany A., and He Y.H. Counting gauge invariants: The plethystic program. hep-th/0701063
10. Forcella D., Hanany A., and Zaffaroni A. Baryonic generating functions. hep-th/0701236
11. 3 duals and M-theory crystals. hep-th/0702120
12. Mandal G., and Suryanarayana N.V. Counting 1/8 BPS dual giants. hep-th/0606088
13. Sinha A., and Suryanarayana N.V. Two-charge small black hole entropy: String-loops and multi-strings. JHEP 0610 (2006) 034. hep-th/0606218
14. Suryanarayana N.V. Half-BPS giants, free fermions and microstates of superstars. JHEP 0601 (2006) 082. hep-th/0411145
15. Barabanschikov A., Grant L., Huang L.L., and Raju S. The spectrum of Yang-Mills on a sphere. hep-th/0501063
16. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2 (1998) 231. hep-th/9711200
17. Gutowski J.B., and Reall H.S. Supersymmetric AdS (5) black holes. JHEP 0402 (2004) 006. hep-th/0401042
18. Gutowski J.B., and Reall H.S. General supersymmetric AdS(5) black holes. JHEP 0404 (2004) 048. hep-th/0401129
19. Chong Z.W., Cvetic M., Lu H., and Pope C.N. General non-extremal rotating black holes in minimal five-dimensional gauged supergravity. Phys. Rev. Lett. 95 (2005) 161301. hep-th/0506029
20. Kunduri H.K., Lucietti J., and Reall H.S. Supersymmetric multi-charge AdS(5) black holes. JHEP 0604 (2006) 036. hep-th/0601156
21. c) colour quark-gluon partition function. Z. Phys. C 24 (1984) 97
22. Sundborg B. The Hagedorn transition, deconfinement and N = 4 SYM theory. Nucl. Phys. B 573 (2000) 349. hep-th/9908001
23. Aharony O., Marsano J., Minwalla S., Papadodimas K., and Van Raamsdonk M. The Hagedorn/deconfinement phase transition in weakly coupled large n gauge theories. Adv. Theor. Math. Phys. 8 (2004) 603. hep-th/0310285
24. Macdonald I.G. Symmetric Functions and Hall Polynomials. second ed. (1995), Clarendon Press, Oxford
25. Polyakov A.M. Gauge fields and space-time. Int. J. Mod. Phys. A 17S1 (2002) 119. hep-th/0110196
26. Onofri E., Veneziano G., and Wosiek J. Supersymmetry and combinatorics. math-ph/0603082
27. De Pietri R., Mori S., and Onofri E. The planar spectrum in U (N)-invariant quantum mechanics by Fock space methods: I. The bosonic case. JHEP 0701 (2007) 018. hep-th/0610045
28. Bonini M., Cicuta G.M., and Onofri E. Fock space methods and large N. J. Phys. A 40 (2007) F229. hep-th/0701076
29. Dobrev V.K., and Sezgin E. In: Hennig J.D., Lücke W., and Tolar J. (Eds). Spectrum and Character Formulae of SO (3, 2) Unitary Representations. Lecture Notes in Physics vol. 379 (1990), Springer, Berlin
30. Dobrev V.K. Positive energy representations of non-compact quantum algebras. In: Doebner H.D., et al. (Ed). Proceedings of the Workshop on Generalized Symmetries in Physics, Clausthal, July 1993 (1994), World Scientific, Singapore
31. Dolan F.A. Character formulae and partition functions in higher dimensional conformal field theory. J. Math. Phys. 47 (2006) 062303. hep-th/0508031
32. Dobrev V.K. Characters of the positive energy UIRs of D = 4 conformal supersymmetry. hep-th/0406154
33. Bianchi M., Dolan F.A., Heslop P.J., and Osborn H. N = 4 superconformal characters and partition functions. Nucl. Phys. B 767 (2007) 163. hep-th/0609179
34. Gibbons G.W., Perry M.J., and Pope C.N. Partition functions, the Bekenstein bound and temperature inversion in anti-de Sitter space and its conformal boundary. Phys. Rev. D 74 (2006) 084009. hep-th/0606186
35. Cardy J.L. Operator content and modular properties of higher dimensional conformal field theories. Nucl. Phys. B 366 (1991) 403
36. Kutasov D., and Larsen F. Partition sums and entropy bounds in weakly coupled CFT. JHEP 0101 (2001) 001. hep-th/0009244
37. D'Hoker E., Heslop P., Howe P., and Ryzhov A.V. Systematics of quarter BPS operators in N = 4 SYM. JHEP 0304 (2003) 038. hep-th/0301104
38. Sagan B.E. The Symmetric Group, Representations, Combinatorial Algorithms, and Symmetric Functions (1991), Wadsworth and Brooks/Cole Mathematics Series, California
39. Begin L., Cummins C., and Mathieu P. Generating functions for tensor products. hep-th/9811113
40. Gessel I.M. Symmetric functions and P-recursiveness. J. Combin. Theory Ser. A 53 (1990) 257
41. Carlsson J., and McKellar B.H.J. SU (N) glueball masses in 2 + 1 dimensions. Phys. Rev. D 68 (2003) 074502. hep-lat/0303016
42. Nakayama Y. Finite N index and angular momentum bound from gravity. hep-th/0701208
43. Andrews G.E., Askey R., and Roy R. Special Functions (1999), Cambridge Univ. Press, Cambridge
44. K for classical groups. math/0510649
45. Odlyzko A.M. Asymptotic enumeration methods. In: Graham R.L., Grötschel M., and Lovász L. (Eds). Handbook of Combinatorics vol. 2 (1995), North-Holland, Amsterdam
46. Andrews G.E. In: Rota G.C. (Ed). The Theory of Partitions. Encyclopedia of Mathematics and Its Applications vol. 2 (1976), Addison-Wesley, Reading, MA
47. Stanley R.P. Enumerative Combinatorics, vol. 2 (1999), Cambridge Univ. Press, Cambridge
48. Wright E.M. Asymptotic partition formulae, I: Plane partitions. Quart. J. Math. Oxford Ser. 2 (1931) 177-189
49. Lin H., and Maldacena J.M. Fivebranes from gauge theory. Phys. Rev. D 74 (2006) 084014. hep-th/0509235
50. Kunduri H.K., Lucietti J., and Reall H.S. Do supersymmetric anti-de Sitter black rings exist?. JHEP 0702 (2007) 026. hep-th/0611351
51. Littlewood D.E. The Theory of Group Characters and Matrix Representations of Groups (1940), Clarendon Press, Oxford