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New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities

Ofer Aharony, Nick Dorey, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2000, Issue: 06, Pages: 026 - 026

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2000/06/026

Abstract

We discuss the mass-deformed N = 4 SU(N) supersymmetric Yang-Mills theory (also known as the N = 1∗ theory). We analyze how the correlation functions of this theory transform under S-duality, and which correlation functions depend holomorphically on the complexified gauge coupling τ. We provide exac...

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Published in: Journal of High Energy Physics
Published: 2000
URI: https://cronfa.swan.ac.uk/Record/cronfa16134
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first_indexed 2013-09-26T11:46:07Z
last_indexed 2020-07-16T18:28:35Z
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spelling 2020-07-16T14:42:10.0935498 v2 16134 2013-09-20 New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2013-09-20 SPH We discuss the mass-deformed N = 4 SU(N) supersymmetric Yang-Mills theory (also known as the N = 1∗ theory). We analyze how the correlation functions of this theory transform under S-duality, and which correlation functions depend holomorphically on the complexified gauge coupling τ. We provide exact modular-covariant expressions for the vacuum expectation values of chiral operators in the massive vacua of the N = 1∗ theory. We exhibit a novel modular symmetry of the chiral sector of the theory in each vacuum, which acts on the coupling τ ̃ = (pτ + k)/q, where p, k and q are integers which label the different vacua. In the strong coupling limit, we compare our results to the results of Polchinski and Strassler in the string theory dual of this theory, and find non-trivial agreement after operator mixings are taken into account. In particular we find that their results are consistent with the predicted modular symmetry in τ ̃. Our results imply that certain singularities found in solutions to five dimensional gauged supergravity should not be resolvable in string theory, since there are no field theory vacua with corresponding vacuum expectation values in the large N limit. Journal Article Journal of High Energy Physics 2000 06 026 026 31 12 2000 2000-12-31 10.1088/1126-6708/2000/06/026 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:42:10.0935498 2013-09-20T11:05:48.4434187 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Ofer Aharony 1 Nick Dorey 2 Prem Kumar 0000-0003-0867-4213 3
title New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities
spellingShingle New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities
Prem Kumar
title_short New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities
title_full New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities
title_fullStr New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities
title_full_unstemmed New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities
title_sort New modular invariance in the Script N = 1* theory, operator mixings and supergravity singularities
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Ofer Aharony
Nick Dorey
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
container_volume 2000
container_issue 06
container_start_page 026
publishDate 2000
institution Swansea University
doi_str_mv 10.1088/1126-6708/2000/06/026
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 0
active_str 0
description We discuss the mass-deformed N = 4 SU(N) supersymmetric Yang-Mills theory (also known as the N = 1∗ theory). We analyze how the correlation functions of this theory transform under S-duality, and which correlation functions depend holomorphically on the complexified gauge coupling τ. We provide exact modular-covariant expressions for the vacuum expectation values of chiral operators in the massive vacua of the N = 1∗ theory. We exhibit a novel modular symmetry of the chiral sector of the theory in each vacuum, which acts on the coupling τ ̃ = (pτ + k)/q, where p, k and q are integers which label the different vacua. In the strong coupling limit, we compare our results to the results of Polchinski and Strassler in the string theory dual of this theory, and find non-trivial agreement after operator mixings are taken into account. In particular we find that their results are consistent with the predicted modular symmetry in τ ̃. Our results imply that certain singularities found in solutions to five dimensional gauged supergravity should not be resolvable in string theory, since there are no field theory vacua with corresponding vacuum expectation values in the large N limit.
published_date 2000-12-31T03:18:26Z
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score 11.013148

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