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Full action of two deformation operators in the D1D5 CFT

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Univ. of Toronto, Toronto, ON (Canada). Dept. of Physics; Ohio State Univ., Columbus (United States)
  2. The Ohio State Univ., Columbus, OH (United States). Dept. of Physics
+ Show Author Affiliations
We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist. In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT. In the present work we compute the action of the supercharges on these twist operators, thereby obtaining the full action of two deformation operators on an arbitrary state of the CFT. We show that the full amplitude can be related to the amplitude with just the twists through an action of the supercharge operators on the initial and final states. As a result, the essential part of this computation consists of moving the contours from the twist operators to the initial and final states; to do this one must first map the amplitude to a covering space where the twists are removed, and then map back to the original space on which the CFT is defined.
Research Organization:
Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0011726
OSTI ID:
1499186
Alternate ID(s):
OSTI ID: 22710074
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2017; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (39)

Virasoro amplitude from theS N R24-orbifold sigma model journal January 1998
Effect of the deformation operator in the D1D5 CFT journal January 2015
One-loop transition amplitudes in the D1D5 CFT journal January 2017
A spin chain for the symmetric product CFT2 journal May 2010
Hawking from Catalan journal May 2016
Conformal blocks beyond the semi-classical limit journal May 2016
On information loss in AdS3/CFT2 journal May 2016
Deforming the D1D5 CFT away from the orbifold point journal June 2010
Excitations in the deformed D1D5 CFT journal June 2010
Black hole collapse in the 1/c expansion journal July 2016
Effect of the twist operator in the D1D5 CFT journal August 2014
Universality of long-distance AdS physics from the CFT bootstrap journal August 2014
Virasoro conformal blocks and thermality from classical background fields journal November 2015
Correlation Functions for M N / S N Orbifolds journal May 2001
Three-Point Functions for M N / S N Orbifolds¶with𝒩 = 4 Supersymmetry journal May 2002
Comments on the N = 2,3,4 superconformal algebras in two dimensions journal January 1987
Microscopic origin of the Bekenstein-Hawking entropy journal June 1996
Absorption versus decay of black holes in string theory and T-symmetry journal November 1996
D-brane approach to black hole quantum mechanics journal July 1996
Comparing decay rates for black holes and D-branes journal November 1996
Gauge theory correlators from non-critical string theory journal May 1998
Gravity from CFT on SN(X) : symmetries and interactions journal June 2000
Interactions involving D-branes journal December 1996
Four graviton scattering amplitude from supersymmetric orbifold sigma model journal July 1998
Instanton strings and hyper-Kähler geometry journal March 1999
Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory journal May 1999
D1/D5 moduli in SCFT and gauge theory, and Hawking radiation journal January 2000
Bogoliubov coefficients for the twist operator in the D1D5 CFT journal December 2014
The D1/D5 system and singular CFT journal April 1999
U(1) charges and moduli in the D1-D5 system journal June 1999
PP-Wave/ CFT 2 Duality journal November 2002
Proving the PP-Wave/CFT 2 Duality journal December 2002
Diagrams for symmetric product orbifolds journal October 2009
Black hole greybody factors and D -brane spectroscopy journal January 1997
Extremal correlators and Hurwitz numbers in symmetric product orbifolds journal October 2009
Twist-nontwist correlators in M N / S N orbifold CFTs journal May 2013
Analyzing the squeezed state generated by a twist deformation journal June 2015
The large $N$ limit of superconformal field theories and supergravity journal January 1998
Anti de Sitter space and holography journal January 1998

Cited By (5)

Correlation functions in the D1-D5 orbifold CFT journal June 2018
The OPE of bare twist operators in bosonic SN orbifold CFTs at large N journal August 2018
String dynamics in NS5-F1-P geometries journal September 2018
Entanglement entropy in inhomogeneous quenches in AdS 3 / CFT 2 journal November 2018
String dynamics in NS5-F1-P geometries text January 2018

Figures / Tables (2)

Figure 1(p. 4)figure Figure 1
Figure 2(p. 37)figure Figure 2

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
AdS-CFT Correspondence
Black Holes in String Theory
Conformal Field Theory