Holographic pole – skipping of flavor branes

Document Type : Regular article

Authors

1 Faculty of Physics, Shahrood University of Technology, P. O. Box 3619995161, Shahrood, Iran

2 Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161, Shahrood, Iran

Abstract

In this paper, we investigate special points in which poles of the Green’s function of the D3/D7 branes are skipping. The system that we consider is 〖SU(N〗_c) N=4 SYM theory coupled to N_f flavors N=2 hypermultplets. We fluctuate the scalar field and find that there is no such special values of frequency and momentum to skip the poles. This behavior is different than scalar field in the AdS black brane background.

Keywords

Main Subjects

 

Article PDF

[1] D. T. Son and A. O. Starinets, "Minkowski space correlators in AdS / CFT correspondence: Recipe and applications", JHEP 09, 042 (2002) [arXiv:hep-th/0205051 [hep-th]].
[2] M. Blake, R. A. Davison and D. Vegh, "Horizon constraints on holographic Green’s functions", JHEP 01, 077 (2020) [arXiv:1904.12883 [hep-th]].
[3] M. Natsuume and T. Okamura, "Nonuniqueness of Green’s functions at special points", JHEP 12, 139 (2019) [arXiv:1905.12015 [hep-th]].
[4] M. Natsuume and T. Okamura, "Holographic chaos, pole-skipping, and regularity'', PTEP 2020, 013B07 (2020) [arXiv:1905.12014 [hep-th]].
[5] S. Grozdanov, K. Schalm and V. Scopelliti, "Black hole scrambling from hydrodynamics", Phys. Rev. Lett. 120, 231601 (2018) [arXiv:1710.00921 [hep-th]].
[6] H. Lee, and H. Liu, "A quantum hydrodynamical description for scrambling and many-body chaos Mike Blake", JHEP 10, 127 (2018) arXiv: 1801.00010
[7] M. Blake, R. A. Davison, S. Grozdanov and H. Liu, "Many-body chaos and energy dynamics in holography'', JHEP 10, 035 (2018) [arXiv:1809.01169 [hep-th]].
[8] K. Bitaghsir Fadafan, A. O'Bannon, R. Rodgers and M. Russell, "A Weyl semimetal from AdS/CFT with flavour'', JHEP 04, 162 (2021) [arXiv: 2013.11434]
[9] S. Grozdanov, "On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections'', JHEP 01, 048 (2019) [arXiv:1811.09641 [hep-th]].
[10] X. Wu, "Higher curvature corrections to pole-skipping'', JHEP 12, 140 (2019) [arXiv:1909.10223 [hep-th]].
[11] K. Sil, "Pole skipping and chaos in anisotropic plasma: a holographic study'', JHEP 03, 232 (2021) [arXiv:2012.07710 [hep-th]].
[12] N. Abbasi and M. Kaminski, "Constraints on quasinormal modes and bounds for critical points from pole-skipping'', JHEP 03, 265 (2021) [arXiv:2012.15820 [hep-th]].
[13] C. Hoyos-Badajoz, K. Landsteiner and S. Montero, "Holographic meson melting'', JHEP 04, 031 (2007) [arXiv: hep-th/0612169]
[14] M. Kaminski, K. Landsteiner, F. Pena-Benitez, J. Erdmenger, C. Greubel and P. Kerner, "Quasinormal modes of massive charged flavor branes'', JHEP 03, 117 (2010) [arXiv:0911.3544 [hep-th]]
Volume 2, Issue 2
May 2022
Pages 39-46
  • Receive Date: 09 March 2022
  • Revise Date: 18 April 2022
  • Accept Date: 29 April 2022