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Cut-and-join operators and N=4 super Yang-Mills

Abstract

We show which multi-trace structures are compatible with the symmetrisation of local operators in N=4 super Yang-Mills when they are organised into representations of the global symmetry group. Cut-and-join operators give the non-planar expansion of correlation functions of these operators in the free theory. Using these techniques we find the 1/N corrections to the quarter-BPS operators which remain protected at weak coupling. We also present a new way of counting these chiral ring operators using the Weyl group S{sub N}. (orig.)
Authors:
Brown, T W [1] 
  1. DESY, Hamburg (Germany). Theory Group
Publication Date:
Feb 15, 2010
Product Type:
Technical Report
Report Number:
DESY-10-020
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; CORRECTIONS; CORRELATION FUNCTIONS; EIGENVALUES; IRREDUCIBLE REPRESENTATIONS; QUANTUM OPERATORS; SUPERSYMMETRY; U-2 GROUPS; UNIFIED GAUGE MODELS; YANG-MILLS THEORY
OSTI ID:
21284995
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ISSN 0418-9833; TRN: DE10F3006
Availability:
Commercial reproduction prohibited; INIS; OSTI as DE21284995
Submitting Site:
DEN
Size:
44 pages
Announcement Date:
Apr 15, 2010

Citation Formats

Brown, T W. Cut-and-join operators and N=4 super Yang-Mills. Germany: N. p., 2010. Web.
Brown, T W. Cut-and-join operators and N=4 super Yang-Mills. Germany.
Brown, T W. 2010. "Cut-and-join operators and N=4 super Yang-Mills." Germany.
@misc{etde_21284995,
title = {Cut-and-join operators and N=4 super Yang-Mills}
author = {Brown, T W}
abstractNote = {We show which multi-trace structures are compatible with the symmetrisation of local operators in N=4 super Yang-Mills when they are organised into representations of the global symmetry group. Cut-and-join operators give the non-planar expansion of correlation functions of these operators in the free theory. Using these techniques we find the 1/N corrections to the quarter-BPS operators which remain protected at weak coupling. We also present a new way of counting these chiral ring operators using the Weyl group S{sub N}. (orig.)}
place = {Germany}
year = {2010}
month = {Feb}
}