Quantum vacua of 2d maximally supersymmetric YangMills theory
Abstract
Here, we analyze the classical and quantum vacua of 2d N = (8,8) supersymmetric YangMills theory with SU(N) and U(N) gauge group, describing the worldvolume interactions of N parallel D1branes with flat transverse directions R^{8}. We claim that the IR limit of the SU(N) theory in the superselection sector labeled M (mod N) — identified with the internal dynamics of (M, N)string bound states of the Type IIB string theory — is described by the symmetric orbifold N = (8,8) sigma model into (R^{8})D–1/SD when D = gcd(M, N) > 1, and by a single massive vacuum when D = 1, generalizing the conjectures of E. Witten and others. The full world volume theory of the D1branes is the U(N) theory with an additional U(1) 2form gauge field B coming from the string theory KalbRamond field. This U(N) + B theory has generalized field configurations, labeled by the Zvalued generalized electric flux and an independent Z_{N}valued ’t Hooft flux. We argue that in the quantum mechanical theory, the (M, N)string sector with M units of electric flux has a Z_{N}valued discrete θ angle specified by M (mod N) dual to the ’t Hooft flux. Adding the brane centerofmass degrees ofmore »
 Authors:

 California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
 Publication Date:
 Research Org.:
 California Institute of Technology (CalTech), Pasadena, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1501470
 Grant/Contract Number:
 SC0011632
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Brane Dynamics in Gauge Theories; Dbranes; Sigma Models; Supersymmetric Gauge Theory
Citation Formats
Koloğlu, Murat. Quantum vacua of 2d maximally supersymmetric YangMills theory. United States: N. p., 2017.
Web. doi:10.1007/jhep11(2017)140.
Koloğlu, Murat. Quantum vacua of 2d maximally supersymmetric YangMills theory. United States. https://doi.org/10.1007/jhep11(2017)140
Koloğlu, Murat. Wed .
"Quantum vacua of 2d maximally supersymmetric YangMills theory". United States. https://doi.org/10.1007/jhep11(2017)140. https://www.osti.gov/servlets/purl/1501470.
@article{osti_1501470,
title = {Quantum vacua of 2d maximally supersymmetric YangMills theory},
author = {Koloğlu, Murat},
abstractNote = {Here, we analyze the classical and quantum vacua of 2d N = (8,8) supersymmetric YangMills theory with SU(N) and U(N) gauge group, describing the worldvolume interactions of N parallel D1branes with flat transverse directions R8. We claim that the IR limit of the SU(N) theory in the superselection sector labeled M (mod N) — identified with the internal dynamics of (M, N)string bound states of the Type IIB string theory — is described by the symmetric orbifold N = (8,8) sigma model into (R8)D–1/SD when D = gcd(M, N) > 1, and by a single massive vacuum when D = 1, generalizing the conjectures of E. Witten and others. The full world volume theory of the D1branes is the U(N) theory with an additional U(1) 2form gauge field B coming from the string theory KalbRamond field. This U(N) + B theory has generalized field configurations, labeled by the Zvalued generalized electric flux and an independent ZNvalued ’t Hooft flux. We argue that in the quantum mechanical theory, the (M, N)string sector with M units of electric flux has a ZNvalued discrete θ angle specified by M (mod N) dual to the ’t Hooft flux. Adding the brane centerofmass degrees of freedom to the SU(N) theory, we claim that the IR limit of the U(N) + B theory in the sector with M bound Fstrings is described by the N = (8,8) sigma model into SymD(R8). We provide strong evidence for these claims by computing an N = (8,8) analog of the elliptic genus of the UV gauge theories and of their conjectured IR limit sigma models, and showing they agree. Agreement is established by noting that the elliptic genera are modularinvariant Abelian (multiperiodic and meromorphic) functions, which turns out to be very restrictive.},
doi = {10.1007/jhep11(2017)140},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2017,
place = {United States},
year = {2017},
month = {11}
}
Web of Science
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