Published August 21, 2012 | Version v1
Journal article

Ramond sector of super Liouville theory from instantons on an ALE space

Creators

  • 1. Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902 (Japan)

Description

We propose that N=2U(2) gauge theories on the A1 ALE space, with asymptotic holonomies not in SU(2), correspond to the Ramond sector of super Liouville theory. As evidence, we show that the instanton partition functions for the theories with and without a fundamental hypermultiplet, computed with such holonomies, coincide with the norms or the inner products of the Whittaker vectors in the Ramond sector. This correspondence suggests that S-duality of U(2) gauge theories interchanges the sectors with different boundary conditions.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.nuclphysb.2012.04.001

Additional details

Identifiers

DOI
10.1016/j.nuclphysb.2012.04.001;
arXiv
arXiv:1110.2176v1;
PII
S0550-3213(12)00193-9;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
861
Journal Issue
3
Journal Page Range
p. 387-402
ISSN
0550-3213
CODEN
NUPBBO

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44002599
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; GAUGE INVARIANCE; INSTANTONS; LIOUVILLE THEOREM; PARTITION FUNCTIONS; U-2 GROUPS
Descriptors DEC
FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL SOLUTIONS; QUASI PARTICLES; SYMMETRY GROUPS; U GROUPS

Optional Information

Copyright
Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.