Discrete theta angle from an O5-plane

Abstract We consider 5d N $$ \mathcal{N} $$ = 1 Sp(1) gauge theory based on a brane configuration with an O5-plane. At the UV fixed point, the theory with no matter enjoys enhanced global symmetry SU(2) or U(1) depending on the discrete theta angle θ = 0, π (mod 2π). A naive brane configuration with...

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Main Authors: Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Futoshi Yagi
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2017)041
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author Hirotaka Hayashi
Sung-Soo Kim
Kimyeong Lee
Futoshi Yagi
author_facet Hirotaka Hayashi
Sung-Soo Kim
Kimyeong Lee
Futoshi Yagi
author_sort Hirotaka Hayashi
collection DOAJ
description Abstract We consider 5d N $$ \mathcal{N} $$ = 1 Sp(1) gauge theory based on a brane configuration with an O5-plane. At the UV fixed point, the theory with no matter enjoys enhanced global symmetry SU(2) or U(1) depending on the discrete theta angle θ = 0, π (mod 2π). A naive brane configuration with an O5-plane, however, does not distinguish two different theories, as it describes the weak coupling region. We devise a technique for computing 5d Seiberg-Witten curve of the two theories from the brane web with an O5-plane. Their Seiberg-Witten curves show that their M5 configurations under the presence of OM5-planes are different. The decompactification limit of each Seiberg-Witten curve also shows distinct phase structures in their Coulomb branch leading to significantly different (p, q) 5-brane configurations with an O5-plane in the strong coupling region.
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spelling doaj.art-8476360000de4057974221dd9e11c5172022-12-22T00:13:53ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171114610.1007/JHEP11(2017)041Discrete theta angle from an O5-planeHirotaka Hayashi0Sung-Soo Kim1Kimyeong Lee2Futoshi Yagi3Department of Physics, School of Science, Tokai UniversitySchool of Physical Electronics, University of Electronic Science and Technology of ChinaSchool of Physics, Korea Institute for Advanced StudyDepartment of Physics, Technion — Israel Institute of TechnologyAbstract We consider 5d N $$ \mathcal{N} $$ = 1 Sp(1) gauge theory based on a brane configuration with an O5-plane. At the UV fixed point, the theory with no matter enjoys enhanced global symmetry SU(2) or U(1) depending on the discrete theta angle θ = 0, π (mod 2π). A naive brane configuration with an O5-plane, however, does not distinguish two different theories, as it describes the weak coupling region. We devise a technique for computing 5d Seiberg-Witten curve of the two theories from the brane web with an O5-plane. Their Seiberg-Witten curves show that their M5 configurations under the presence of OM5-planes are different. The decompactification limit of each Seiberg-Witten curve also shows distinct phase structures in their Coulomb branch leading to significantly different (p, q) 5-brane configurations with an O5-plane in the strong coupling region.http://link.springer.com/article/10.1007/JHEP11(2017)041Brane Dynamics in Gauge TheoriesField Theories in Higher Dimensionsp-branes
spellingShingle Hirotaka Hayashi
Sung-Soo Kim
Kimyeong Lee
Futoshi Yagi
Discrete theta angle from an O5-plane
Journal of High Energy Physics
Brane Dynamics in Gauge Theories
Field Theories in Higher Dimensions
p-branes
title Discrete theta angle from an O5-plane
title_full Discrete theta angle from an O5-plane
title_fullStr Discrete theta angle from an O5-plane
title_full_unstemmed Discrete theta angle from an O5-plane
title_short Discrete theta angle from an O5-plane
title_sort discrete theta angle from an o5 plane
topic Brane Dynamics in Gauge Theories
Field Theories in Higher Dimensions
p-branes
url http://link.springer.com/article/10.1007/JHEP11(2017)041
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AT sungsookim discretethetaanglefromano5plane
AT kimyeonglee discretethetaanglefromano5plane
AT futoshiyagi discretethetaanglefromano5plane