From symmetric product CFTs to AdS3

被引：0
作者：
Matthias R. Gaberdiel
Rajesh Gopakumar
Bob Knighton
Pronobesh Maity
机构：
[1] Institut für Theoretische Physik,
[2] ETH Zürich,undefined
[3] International Centre for Theoretical Sciences-TIFR,undefined
来源：
Journal of High Energy Physics | / 2021卷
关键词：
AdS-CFT Correspondence; Conformal Field Theory; Gauge-gravity correspondence; Matrix Models;
D O I：
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摘要：
Correlators in symmetric orbifold CFTs are given by a finite sum of admissible branched covers of the 2d spacetime. We consider a Gross-Mende like limit where all operators have large twist, and show that the corresponding branched covers can be described via a Penner-like matrix model. The limiting branched covers are given in terms of the spectral curve for this matrix model, which remarkably turns out to be directly related to the Strebel quadratic differential on the covering space. Interpreting the covering space as the world-sheet of the dual string theory, the spacetime CFT correlator thus has the form of an integral over the entire world-sheet moduli space weighted with a Nambu-Goto-like action. Quite strikingly, at leading order this action can also be written as the absolute value of the Schwarzian of the covering map.
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  • [1] Gopakumar R(2005) = 1 Phys. Rev. D 72 066008-undefined
  • [2] Razamat SS(2008) = 4 JHEP 07 026-undefined
  • [3] Maldacena JM(1998) 2 Adv. Theor. Math. Phys. 2 231-undefined
  • [4] Gubser SS(1998)4 Phys. Lett. B 428 105-undefined
  • [5] Klebanov IR(1998) 2 Adv. Theor. Math. Phys. 2 253-undefined
  • [6] Polyakov AM(2004) 4 Phys. Rev. D 70 025009-undefined
  • [7] Witten E(2004) = 2 Phys. Rev. D 70 025010-undefined
  • [8] Gopakumar R(2006) = 2 JHEP 05 016-undefined
  • [9] Gopakumar R(2010) = 4 JHEP 03 049-undefined
  • [10] Aharony O(2013) 2 JHEP 03 175-undefined
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