First results from lattice simulation of the PWMM

Journal of High Energy Physics

Volumn 2010, Issue 9, 2010, Pages

  Catterall, Simon ^a   Van Anders, Greg ^b  

^a SYRACUSE UNIVERSITY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Gauge gravity correspondence; Lattice gauge field theories; M(atrix) theories; Penrose limit and pp wave background

Indexed keywords

EID: 78649702018     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP09(2010)088     Document Type: Article

References (33)

1. J. M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
2. [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200]
3. S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109]
4. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150]
5. M. Hanada, J. Nishimura and S. Takeuchi, Non-lattice simulation for supersymmetric gauge theories in one dimension, Phys. Rev. Lett. 99 (2007) 161602 [arXiv:0706.1647]
6. K. N. Anagnostopoulos, M. Hanada, J. Nishimura and S. Takeuchi, Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature, Phys. Rev. Lett. 100 (2008) 021601 [arXiv:0707.4454]
7. S. Catterall and T. Wiseman, Black hole thermodynamics from simulations of lattice Yang-Mills theory, Phys. Rev. D 78 (2008) 041502 [arXiv:0803.4273]
8. S. Catterall and T. Wiseman, Extracting black hole physics from the lattice, JHEP 04 (2010) 077 [arXiv:0909.4947]
9. D. E. Berenstein, J. M. Maldacena and H. S. Nastase, Strings in flat space and pp waves from N = 4 super Yang-Mills, JHEP 04 (2002) 013 [hep-th/0202021]
10. H. Lin and J. M. Maldacena, Fivebranes from gauge theory, Phys. Rev. D 74 (2006) 084014 [hep-th/0509235]
11. G. van Anders, General Lin-Maldacena solutions and PWMM instantons from supergravity, JHEP 03 (2007) 028 [hep-th/0701277]
12. H. Ling, A. R. Mohazab, H.-H. Shieh, G. van Anders and M. Van Raamsdonk, Little string theory from a double-scaled matrix model, JHEP 10 (2006) 018 [hep-th/0606014]
13. T. Ishii, G. Ishiki, S. Shimasaki and A. Tsuchiya, N = 4 super Yang-Mills from the plane wave matrix model, Phys. Rev. D 78 (2008) 106001 [arXiv:0807.2352]
14. S. Catterall, D. B. Kaplan and M. Ünsal, Exact lattice supersymmetry, Phys. Rept. 484 (2009) 71 [arXiv:0903.4881]
15. T. Banks, W. Fischler, S. H. Shenker and L. Susskind, M theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112 [hep-th/9610043]
16. K. Dasgupta, M. M. Sheikh-Jabbari and M. Van Raamsdonk, Matrix perturbation theory for M-theory on a PP-wave, JHEP 05 (2002) 056 [hep-th/0205185]
17. K. Dasgupta, M. M. Sheikh-Jabbari and M. Van Raamsdonk, Protected multiplets of M-theory on a plane wave, JHEP 09 (2002) 021 [hep-th/0207050]
18. 3 and theories with 16 supercharges, JHEP 10 (2006) 007 [hep-th/0605163]
19. G. Ishiki, S. Shimasaki, Y. Takayama and A. Tsuchiya, Embedding of theories with SU (2|4) symmetry into the plane wave matrix model, JHEP 11 (2006) 089 [hep-th/0610038]
20. 3 from supersymmetric matrix quantum mechanics, Phys. Rev. Lett. 102 (2009) 111601 [arXiv:0810.2884]
21. 3, JHEP 09 (2009) 029 [arXiv:0907.1488]
22. M. A. Clark, A. D. Kennedy and Z. Sroczynski, Exact 2 + 1 flavour RHMC simulations, Nucl. Phys. Proc. Suppl. 140 (2005) 835 [hep-lat/0409133]
23. B. Jegerlehner, Krylov space solvers for shifted linear systems, hep-lat/9612014
24. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller and E. Teller, Equation of state calculations by fast computing machines, J. Chem. Phys. 21 (1953) 1087.
25. S. Duane, A. D. Kennedy, B. J. Pendleton and D. Roweth, Hybrid Monte Carlo, Phys. Lett. B 195 (1987) 216
26. S. W. Hawking and D. N. Page, Thermodynamics of black holes in Anti-de Sitter space, Commun. Math. Phys. 87 (1983) 577
27. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131]
28. O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas and M. Van Raamsdonk, The Hagedorn/deconfinement phase transition in weakly coupled large-N gauge theories, Adv. Theor. Math. Phys. 8 (2004) 603 [hep-th/0310285]
29. K. Furuuchi, E. Schreiber and G. W. Semenoff, Five-brane thermodynamics from the matrix model, hep-th/0310286
30. M. Spradlin, M. Van Raamsdonk and A. Volovich, Two-loop partition function in the planar plane-wave matrix model, Phys. Lett. B 603 (2004) 239 [hep-th/0409178]
31. S. Hadizadeh, B. Ramadanovic, G. W. Semenoff and D. Young, Free energy and phase transition of the matrix model on a plane-wave, Phys. Rev. D 71 (2005) 065016 [hep-th/0409318]
32. N. Kawahara, J. Nishimura and S. Takeuchi, High temperature expansion in supersymmetric matrix quantum mechanics, JHEP 12 (2007) 103 [arXiv:0710.2188]
33. J. Nishimura, Non-lattice simulation of supersymmetric gauge theories as a probe to quantum black holes and strings, PoS (LAT2009) 016 [arXiv:0912.0327]