Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Recursive representations of arbitrary Virasoro conformal blocks

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Harvard Univ., Cambridge, MA (United States); DOE/OSTI
  2. Harvard Univ., Cambridge, MA (United States)
We derive recursive representations in the internal weights of N-point Virasoro conformal blocks in the sphere linear channel and the torus necklace channel, and recursive representations in the central charge of arbitrary Virasoro conformal blocks on the sphere, the torus, and higher genus Riemann surfaces in the plumbing frame.
Research Organization:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-91ER40654
OSTI ID:
1610168
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2019; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (35)

Proving the AGT relation for N f = 0, 1, 2 antifundamentals journal June 2010
On Combinatorial Expansion of the Conformal Blocks Arising from AGT Conjecture journal June 2011
Higher Equations of Motion in Liouville Field Theory text January 2003
Conformal Field Theory book January 1997
Conformal symmetry in two-dimensional space: Recursion representation of conformal block journal October 1987
Conformal symmetry in two dimensions: An explicit recurrence formula for the conformal partial wave amplitude journal September 1984
Classical and quantum conformal field theory journal June 1989
Recursive representation of the torus 1-point conformal block journal January 2010
Looking for a bulk point journal January 2017
On AGT conjecture journal February 2010
From global to heavy-light: 5-point conformal blocks journal March 2016
Various semiclassical limits of torus conformal blocks journal April 2017
(2, 2) superconformal bootstrap in two dimensions journal May 2017
N $$ \mathcal{N} $$ = 4 superconformal bootstrap of the K3 CFT journal May 2017
A cardy formula for three-point coefficients or how the black hole got its spots journal May 2017
Proving the AGT relation for N f = 0, 1, 2 antifundamentals journal June 2010
Virasoro conformal blocks in closed form journal August 2015
Recurrence relations for toric N = 1 superconformal blocks journal September 2012
Bootstrapping the spectral function: on the uniqueness of Liouville and the universality of BTZ journal September 2018
Towards a 4d/2d correspondence for Sicilian quivers journal October 2011
Little string amplitudes (and the unreasonable effectiveness of 6D SYM) journal December 2014
On Genus Two Riemann Surfaces Formed from Sewn Tori journal January 2007
Liouville Correlation Functions from Four-Dimensional Gauge Theories journal January 2010
Infinite conformal symmetry in two-dimensional quantum field theory journal July 1984
Little string theory and heterotic/type II duality journal February 2004
LSZ in LST journal July 2004
Liouville theory revisited journal November 2001
Little string theory in a double scaling limit journal October 1999
Recursion representation of the Neveu-Schwarz superconformal block journal March 2007
One-loop partition functions of 3D gravity journal August 2008
Elliptic recurrence representation of the N = 1 superconformal blocks in the Ramond sector journal November 2008
Strings in AdS 3 and the SL ( 2 , R ) WZW model. III. Correlation functions journal May 2002
Higher Equations of Motion in Liouville Field Theory journal May 2004
Holography and Riemann surfaces journal January 2000
Partition functions of three-dimensional pure gravity journal January 2008

Cited By (5)

The bulk-to-boundary propagator in black hole microstate backgrounds journal June 2019
AdS3 reconstruction with general gravitational dressings journal July 2019
Entanglement entropy, OTOC and bootstrap in 2D CFTs from Regge and light cone limits of multi-point conformal block journal August 2019
Quantum gravity from timelike Liouville theory journal October 2019
The Bulk-to-Boundary Propagator in Black Hole Microstate Backgrounds preprint January 2018

Similar Records

Virasoro conformal blocks in closed form
Journal Article · Mon Aug 17 20:00:00 EDT 2015 · Journal of High Energy Physics (Online) · OSTI ID:1600692

Conformal symmetry in two-dimensional space: recursion representation of conformal block
Journal Article · Thu Mar 31 23:00:00 EST 1988 · Theor. Math. Phys.; (United States) · OSTI ID:6447081

Virasoro conformal blocks and thermality from classical background fields
Journal Article · Sun Nov 29 19:00:00 EST 2015 · Journal of High Energy Physics (Online) · OSTI ID:1238365