Higgsing towards E-strings

Abstract We explore 6d (1, 0) superconformal field theories with SU(3) and SU(2) gauge symmetries which cascade after Higgsing to the E-string theory on a single M5 near an E 8 wall. Specifically, we study the 2d N $$ \mathcal{N} $$ = (0, 4) gauge theories which describe self-dual strings of these 6...

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Main Authors: Joonho Kim, Seok Kim, Kimyeong Lee
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2021)110
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author Joonho Kim
Seok Kim
Kimyeong Lee
author_facet Joonho Kim
Seok Kim
Kimyeong Lee
author_sort Joonho Kim
collection DOAJ
description Abstract We explore 6d (1, 0) superconformal field theories with SU(3) and SU(2) gauge symmetries which cascade after Higgsing to the E-string theory on a single M5 near an E 8 wall. Specifically, we study the 2d N $$ \mathcal{N} $$ = (0, 4) gauge theories which describe self-dual strings of these 6d theories. The self-dual strings can be also viewed as instanton string solitons of 6d Yang-Mills theories. We find the 2d anomaly-free gauge theories for self-dual strings, amending the naive ADHM gauge theories which are anomalous, and calculate their elliptic genera. While these 2d theories respect the flavor symmetry of each 6d SCFT only partially, their elliptic genera manifest the symmetry fully as these functions as BPS index are invariant in strongly coupled IR limit. Our consistent 2d (0, 4) gauge theories also provide new insights on the non-linear sigma models for the instanton strings, providing novel UV completions of the small instanton singularities. Finally, we construct new 2d quiver gauge theories for the self-dual strings in 6d E-string theory for multiple M5-branes probing the E 8 wall, and find their fully refined elliptic genera.
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spelling doaj.art-a56bf57334524b398c3059b842796e6b2022-12-21T23:23:27ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021113010.1007/JHEP01(2021)110Higgsing towards E-stringsJoonho Kim0Seok Kim1Kimyeong Lee2School of Physics, Korea Institute for Advanced StudyDepartment of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversitySchool of Physics, Korea Institute for Advanced StudyAbstract We explore 6d (1, 0) superconformal field theories with SU(3) and SU(2) gauge symmetries which cascade after Higgsing to the E-string theory on a single M5 near an E 8 wall. Specifically, we study the 2d N $$ \mathcal{N} $$ = (0, 4) gauge theories which describe self-dual strings of these 6d theories. The self-dual strings can be also viewed as instanton string solitons of 6d Yang-Mills theories. We find the 2d anomaly-free gauge theories for self-dual strings, amending the naive ADHM gauge theories which are anomalous, and calculate their elliptic genera. While these 2d theories respect the flavor symmetry of each 6d SCFT only partially, their elliptic genera manifest the symmetry fully as these functions as BPS index are invariant in strongly coupled IR limit. Our consistent 2d (0, 4) gauge theories also provide new insights on the non-linear sigma models for the instanton strings, providing novel UV completions of the small instanton singularities. Finally, we construct new 2d quiver gauge theories for the self-dual strings in 6d E-string theory for multiple M5-branes probing the E 8 wall, and find their fully refined elliptic genera.https://doi.org/10.1007/JHEP01(2021)110Field Theories in Higher DimensionsSupersymmetric Gauge TheoryD-branesSolitons Monopoles and Instantons
spellingShingle Joonho Kim
Seok Kim
Kimyeong Lee
Higgsing towards E-strings
Journal of High Energy Physics
Field Theories in Higher Dimensions
Supersymmetric Gauge Theory
D-branes
Solitons Monopoles and Instantons
title Higgsing towards E-strings
title_full Higgsing towards E-strings
title_fullStr Higgsing towards E-strings
title_full_unstemmed Higgsing towards E-strings
title_short Higgsing towards E-strings
title_sort higgsing towards e strings
topic Field Theories in Higher Dimensions
Supersymmetric Gauge Theory
D-branes
Solitons Monopoles and Instantons
url https://doi.org/10.1007/JHEP01(2021)110
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AT seokkim higgsingtowardsestrings
AT kimyeonglee higgsingtowardsestrings