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Title: BPS Wilson loop in $$\mathcal{N}$$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation

Abstract

We consider the expectation value \( \left\langle \mathcal{W}\right\rangle \) of the circular BPS Wilson loop in \( \mathcal{N} \) = 2 superconformal SU(N) gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This theory admits a regular large N expansion, is planar-equivalent to \( \mathcal{N} \) = 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS5 × S5 superstring theory. On the string theory side \( \left\langle \mathcal{W}\right\rangle \) is represented by the path integral expanded near the same AdS2 minimal surface as in the maximally supersymmetric case. Following the string theory argument in [5], we suggest that as in the \( \mathcal{N} \) = 4 SYM case and in the \( \mathcal{N} \) = 2 SU(N) × SU(N) superconformal quiver theory discussed in [19], the coefficient of the leading non-planar 1/N2 correction in \( \left\langle \mathcal{W}\right\rangle \) should have the universal λ3/2 scaling at large ’t Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for \( \left\langle \mathcal{W}\right\rangle \). We complement the analytic derivation of the λ3/2 scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansionmore » using conformal mapping improved Padé analysis.« less

Authors:
ORCiD logo [1];  [2];  [3]
+ Show Author Affiliations
  1. Università del Salento, Lecce (Italy). Dipartimento di Matematica e Fisica Ennio De Giorgi
  2. Univ. of Connecticut, Storrs, CT (United States). Dept. of Physics
  3. Imperial College, London (United Kingdom). Blackett Lab.
Publication Date:
Research Org.:
Univ. of Connecticut, Storrs, CT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Science and Technology Facilities Council (STFC)
OSTI Identifier:
1851353
Grant/Contract Number:  
SC0010339; ST/T000791/1
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: 2021; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; AdS-CFT Correspondence; 1/N Expansion; Extended Supersymmetry

Citation Formats

Beccaria, M., Dunne, G. V., and Tseytlin, A. A. BPS Wilson loop in $\mathcal{N}$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation. United States: N. p., 2021. Web. doi:10.1007/jhep07(2021)085.
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Beccaria, M., Dunne, G. V., & Tseytlin, A. A. BPS Wilson loop in $\mathcal{N}$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation. United States. https://doi.org/10.1007/jhep07(2021)085
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Beccaria, M., Dunne, G. V., and Tseytlin, A. A. Wed . "BPS Wilson loop in $\mathcal{N}$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation". United States. https://doi.org/10.1007/jhep07(2021)085. https://www.osti.gov/servlets/purl/1851353.
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@article{osti_1851353,
title = {BPS Wilson loop in $\mathcal{N}$ = 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation},
author = {Beccaria, M. and Dunne, G. V. and Tseytlin, A. A.},
abstractNote = {We consider the expectation value \( \left\langle \mathcal{W}\right\rangle \) of the circular BPS Wilson loop in \( \mathcal{N} \) = 2 superconformal SU(N) gauge theory containing a vector multiplet coupled to two hypermultiplets in rank-2 symmetric and antisymmetric representations. This theory admits a regular large N expansion, is planar-equivalent to \( \mathcal{N} \) = 4 SYM theory and is expected to be dual to a certain orbifold/orientifold projection of AdS5 × S5 superstring theory. On the string theory side \( \left\langle \mathcal{W}\right\rangle \) is represented by the path integral expanded near the same AdS2 minimal surface as in the maximally supersymmetric case. Following the string theory argument in [5], we suggest that as in the \( \mathcal{N} \) = 4 SYM case and in the \( \mathcal{N} \) = 2 SU(N) × SU(N) superconformal quiver theory discussed in [19], the coefficient of the leading non-planar 1/N2 correction in \( \left\langle \mathcal{W}\right\rangle \) should have the universal λ3/2 scaling at large ’t Hooft coupling. We confirm this prediction by starting with the localization matrix model representation for \( \left\langle \mathcal{W}\right\rangle \). We complement the analytic derivation of the λ3/2 scaling by a numerical high-precision resummation and extrapolation of the weak-coupling expansion using conformal mapping improved Padé analysis.},
doi = {10.1007/jhep07(2021)085},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2021,
place = {United States},
year = {Wed Jul 14 00:00:00 EDT 2021},
month = {Wed Jul 14 00:00:00 EDT 2021}
}
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