Special Issue: Selected Papers of Workshop in Memory of Sakata. Part 2No Access

Gauge/gravity duality — From lattice gauge theory to black hole

Daisuke Kadoh

KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan

https://doi.org/10.1142/S0217751X17470182Cited by:1 (Source: Crossref)

Abstract

The duality conjecture states that $p + 1$ -dimensional maximally supersymmetric Yang–Mills theory at finite temperature is expected to be dual to the non extremal black $p$ -brane at large N. We perform the lattice simulations of SYM for $p = 0, 1$ to investigate the validity of the conjecture. We show that the conjecture is qualitatively valid by comparing lattice results of the black $p$ -branes mass with analytic expectations in the gravity side.

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. J. M. Maldacena, Int. J. Theor. Phys. 38, 1113 (1999) [Adv. Theor. Math. Phys. 2, 231 (1998)], [arXiv:hep-th/9711200]. Crossref, Web of Science, Google Scholar
2. D. B. Kaplan, E. Katz and M. Unsal, JHEP 0305, 037 (2003), [arXiv:hep-lat/0206019]. Crossref, ADS, Google Scholar
3. F. Sugino, JHEP 0401, 015 (2004), [arXiv:hep-lat/0311021]. Crossref, ADS, Google Scholar
4. F. Sugino, JHEP 0403, 067 (2004), [arXiv:hep-lat/0401017]. Crossref, ADS, Google Scholar
5. F. Sugino, JHEP 0501, 016 (2005), [arXiv:hep-lat/0410035]. Crossref, ADS, Google Scholar
6. F. Sugino, Phys. Lett. B 635, 218 (2006), [arXiv:hep-lat/0601024]; Nucl. Phys. B 808, 292 (2009), [arXiv:0807.2683 [hep-lat]]; Y. Kikukawa and F. Sugino, Nucl. Phys. B 819, 76 (2009), [arXiv:0811.0916 [hep-lat]]; D. Kadoh, F. Sugino and H. Suzuki, Nucl. Phys. B 820, 99 (2009), [arXiv:0903.5398 [hep-lat]]. Google Scholar
7. S. Matsuura and F. Sugino, JHEP 1404, 088 (2014), [arXiv:1402.0952 [hep-lat]]. Crossref, Web of Science, ADS, Google Scholar
8. A. D’Adda et al., Phys. Lett. B 633, 645 (2006), [arXiv:hep-lat/0507029]; Nucl. Phys. B 798, 168 (2008), [arXiv:0707.3533 [hep-lat]]. Google Scholar
9. S. Matsuura, JHEP 0807, 127 (2008), [arXiv:0805.4491 [hep-th]]. Crossref, Web of Science, ADS, Google Scholar
10. N. Itzhaki et al., Phys. Rev. D 58, 046004 (1998), [arXiv:hep-th/9802042]. Crossref, Web of Science, ADS, Google Scholar
11. N. Kawahara, J. Nishimura and S. Takeuchi, JHEP 0712, 103 (2007), [arXiv:0710.2188 [hep-th]]. Crossref, Web of Science, ADS, Google Scholar
12. K. N. Anagnostopoulos et al., Phys. Rev. Lett. 100, 021601 (2008), [arXiv:0707.4454 [hep-th]]; M. Hanada et al., Phys. Rev. Lett. 102, 181602 (2009), [arXiv:0811.2081 [hep-th]]; M. Hanada et al., Phys. Rev. Lett. 102, 191602 (2009), [arXiv:0811.3102 [hep-th]]; M. Hanada et al., Phys. Rev. Lett. 104, 151601 (2010), [arXiv:0911.1623 [hep-th]]; JHEP 1112, 020 (2011), [arXiv:1108.5153 [hep-th]]; M. Hanada et al., Science 344, 882 (2014), [arXiv:1311.5607 [hep-th]]. Google Scholar
13. S. Catterall and T. Wiseman, JHEP 0712, 104 (2007), [arXiv:0706.3518 [hep-lat]]; Phys. Rev. D 78, 041502 (2008), [arXiv:0803.4273 [hep-th]]; JHEP 1004, 077 (2010), [arXiv:0909.4947 [hep-th]]. Google Scholar
14. S. Catterall, A. Joseph and T. Wiseman, J. Phys. Conf. Ser. 462(1), 012022 (2013), [arXiv:1009.0529 [hep-th]]; JHEP 1012, 022 (2010), [arXiv:1008.4964 [hep-th]]. Google Scholar
15. I. R. Klebanov and A. A. Tseytlin, Nucl. Phys. B 475, 164 (1996), [arXiv:hep-th/9604089]. Crossref, Web of Science, ADS, Google Scholar
16. E. Giguère and D. Kadoh, JHEP 1505, 082 (2015), [arXiv:1503.04416 [hep-lat]]. Crossref, Web of Science, ADS, Google Scholar
17. D. Kadoh and S. Kamata, arXiv:1503.08499 [hep-lat]. Google Scholar
18. D. Kadoh and S. Kamata, in preparation. Google Scholar
19. E. Giguère and D. Kadoh, in preparation. Google Scholar
20. E. Giguère and D. Kadoh, in preparation. Google Scholar