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Title: $$ \mathcal{N}=1 $$ deformations and RG flows of $$ \mathcal{N}=2 $$ SCFTs

Abstract

We study certain N=1 preserving deformations of four-dimensional N=2 superconformal field theories (SCFTs) with non-abelian flavor symmetry. The deformation is described by adding an N=1 chiral multiplet transforming in the adjoint representation of the flavor symmetry with a superpotential coupling, and giving a nilpotent vacuum expectation value to the chiral multiplet which breaks the flavor symmetry. This triggers a renormalization group flow to an infrared SCFT. Remarkably, we find classes of theories flow to enhanced N=2 supersymmetric fixed points in the infrared under the deformation. They include generalized Argyres-Douglas theories and rank-one SCFTs with non-abelian flavor symmetries. Most notably, we find renormalization group flows from the deformed conformal SQCDs to the (A1, An) Argyres-Douglas theories. From these “Lagrangian descriptions,” we compute the full superconformal indices of the (A1, An) theories and find agreements with the previous results. Furthermore, we study the cases, including the TN and R0,N theories of class S and some of rank-one SCFTs, where the deformation gives genuine N=1 fixed points.

Authors:
 [1]; ORCiD logo [2]
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  1. Imperial College, London (United Kingdom); Seikei Univ., Tokyo (Japan)
  2. Univ. of California, San Diego, La Jolla, CA (United States)
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States); Imperial College London, London (United Kingdom)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1356082
Alternate Identifier(s):
OSTI ID: 1358375
Grant/Contract Number:  
SC0009919
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: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; supersymmetric gauge theory; F-theory; global symmetry; duality; QCD; conformal field theory; renormalization group; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Maruyoshi, Kazunobu, and Song, Jaewon. $ \mathcal{N}=1 $ deformations and RG flows of $ \mathcal{N}=2 $ SCFTs. United States: N. p., 2017. Web. doi:10.1007/JHEP02(2017)075.
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Maruyoshi, Kazunobu, & Song, Jaewon. $ \mathcal{N}=1 $ deformations and RG flows of $ \mathcal{N}=2 $ SCFTs. United States. doi:https://doi.org/10.1007/JHEP02(2017)075
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Maruyoshi, Kazunobu, and Song, Jaewon. Tue . "$ \mathcal{N}=1 $ deformations and RG flows of $ \mathcal{N}=2 $ SCFTs". United States. doi:https://doi.org/10.1007/JHEP02(2017)075. https://www.osti.gov/servlets/purl/1356082.
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@article{osti_1356082,
title = {$ \mathcal{N}=1 $ deformations and RG flows of $ \mathcal{N}=2 $ SCFTs},
author = {Maruyoshi, Kazunobu and Song, Jaewon},
abstractNote = {We study certain N=1 preserving deformations of four-dimensional N=2 superconformal field theories (SCFTs) with non-abelian flavor symmetry. The deformation is described by adding an N=1 chiral multiplet transforming in the adjoint representation of the flavor symmetry with a superpotential coupling, and giving a nilpotent vacuum expectation value to the chiral multiplet which breaks the flavor symmetry. This triggers a renormalization group flow to an infrared SCFT. Remarkably, we find classes of theories flow to enhanced N=2 supersymmetric fixed points in the infrared under the deformation. They include generalized Argyres-Douglas theories and rank-one SCFTs with non-abelian flavor symmetries. Most notably, we find renormalization group flows from the deformed conformal SQCDs to the (A1, An) Argyres-Douglas theories. From these “Lagrangian descriptions,” we compute the full superconformal indices of the (A1, An) theories and find agreements with the previous results. Furthermore, we study the cases, including the TN and R0,N theories of class S and some of rank-one SCFTs, where the deformation gives genuine N=1 fixed points.},
doi = {10.1007/JHEP02(2017)075},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2017,
place = {United States},
year = {2017},
month = {2}
}
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DOI:  https://doi.org/10.1007/JHEP02(2017)075
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Works referenced in this record:

Electric-magnetic duality in supersymmetric non-Abelian gauge theories
journal, February 1995

Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory
journal, July 1995

The exact superconformal R-symmetry maximizes a
journal, September 2003

Deformations of superconformal theories
journal, November 2016

  • Córdova, Clay; Dumitrescu, Thomas T.; Intriligator, Kenneth
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)135

Wild quiver gauge theories
journal, February 2012

  • Bonelli, Giulio; Maruyoshi, Kazunobu; Tanzini, Alessandro
  • Journal of High Energy Physics, Vol. 2012, Issue 2
  • DOI: 10.1007/JHEP02(2012)031

Quantum Higgs branches of isolated $\mathcal{N}=2$ superconformal field theories
journal, October 2012

  • Argyres, Philip C.; Maruyoshi, Kazunobu; Tachikawa, Yuji
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)054

General Argyres-Douglas theory
journal, January 2013

Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994

New = 2 superconformal field theories in four dimensions
journal, February 1996

An N = 2 superconformal fixed point with E6 global symmetry
journal, December 1996

Superconformal fixed points with En global symmetry
journal, March 1997

Coulomb Phase of N = 2 Supersymmetric QCD
journal, August 1995

The vacuum structure of N = 2 super-QCD with classical gauge groups
journal, February 1996

New phenomena in SU(3) supersymmetric gauge theory
journal, August 1995

An Index for 4 Dimensional Super Conformal Theories
journal, June 2007

  • Kinney, Justin; Maldacena, Juan; Minwalla, Shiraz
  • Communications in Mathematical Physics, Vol. 275, Issue 1
  • DOI: 10.1007/s00220-007-0258-7

Counting chiral primaries in , superconformal field theories
journal, July 2006

Central charges and U(1) R symmetries in Script N = 1 super Yang-Mills
journal, November 2003

Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories
journal, January 2008

Expanding the landscape of N $$ \mathcal{N} $$ = 2 rank 1 SCFTs
journal, May 2016

  • Argyres, Philip C.; Lotito, Matteo; Lü, Yongchao
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)088

N = 2 dualities
journal, August 2012

Tinkertoys for Gaiotto duality
journal, November 2010

  • Chacaltana, Oscar; Distler, Jacques
  • Journal of High Energy Physics, Vol. 2010, Issue 11
  • DOI: 10.1007/JHEP11(2010)099

Central charges of 𝒩 = 2 superconformal field theories in four dimensions
journal, September 2008

New $ \mathcal{N} $ =1 dualities
journal, June 2013

  • Gadde, Abhijit; Maruyoshi, Kazunobu; Tachikawa, Yuji
  • Journal of High Energy Physics, Vol. 2013, Issue 6
  • DOI: 10.1007/JHEP06(2013)056

New N = 1 dualities from M5-branes and outer-automorphism twists
journal, March 2014

Quiver tails and N = 1 $$ \mathcal{N}=1 $$ SCFTs from M5-branes
journal, March 2015

  • Agarwal, Prarit; Bah, Ibrahima; Maruyoshi, Kazunobu
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/JHEP03(2015)049

Infinitely many N = 1 $$ \mathcal{N}=1 $$ dualities from m + 1 − m = 1
journal, October 2015

  • Agarwal, Prarit; Intriligator, Kenneth; Song, Jaewon
  • Journal of High Energy Physics, Vol. 2015, Issue 10
  • DOI: 10.1007/JHEP10(2015)035

Four-dimensional SCFTs from M5-branes
journal, June 2012

  • Bah, Ibrahima; Beem, Christopher; Bobev, Nikolay
  • Journal of High Energy Physics, Vol. 2012, Issue 6
  • DOI: 10.1007/JHEP06(2012)005

$ \mathcal{N} = 1 $ SCFTs from brane monodromy
journal, November 2010

  • Heckman, Jonathan J.; Tachikawa, Yuji; Vafa, Cumrun
  • Journal of High Energy Physics, Vol. 2010, Issue 11
  • DOI: 10.1007/JHEP11(2010)132

On short and semi-short representations for four-dimensional superconformal symmetry
journal, September 2003

On the superconformal index of $ \mathcal{N} = 1 $ IR fixed points. A holographic check
journal, March 2011

  • Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S.
  • Journal of High Energy Physics, Vol. 2011, Issue 3
  • DOI: 10.1007/JHEP03(2011)041

Non-perturbative formulas for central functions of supersymmetric gauge theories
journal, August 1998

On the Dynkin index of a principal <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="fraktur">sl</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>-subalgebra
journal, July 2009

Correlation functions of conserved currents in calN = 2 superconformal theory
journal, January 2000

A counterexample to the a -`theorem'
journal, December 2008

Central charges and RG flow of strongly-coupled $ \mathcal{N}=2 $ theory
journal, March 2013

Probing F-theory with branes
journal, October 1996

F-theory at constant coupling
journal, September 1996

F-theory and orientifolds
journal, September 1996

S-duality in N = 2 supersymmetric gauge theories
journal, December 2007

A holographic computation of the central charges of d = 4, 𝒩 = 2 SCFTs
journal, January 2008

“Lagrangian” for a Non-Lagrangian Field Theory with N = 2 Supersymmetry
journal, October 2015

The superconformal index of the E 6 SCFT
journal, August 2010

  • Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S.
  • Journal of High Energy Physics, Vol. 2010, Issue 8
  • DOI: 10.1007/JHEP08(2010)107

Schur indices, BPS particles, and Argyres-Douglas theories
journal, January 2016

Argyres-Douglas theories, the Macdonald index, and an RG inequality
journal, February 2016

  • Buican, Matthew; Nishinaka, Takahiro
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)159

Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
journal, February 2016

Infrared computations of defect Schur indices
journal, November 2016

  • Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)106

Gauge Theories and Macdonald Polynomials
journal, November 2012

  • Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S.
  • Communications in Mathematical Physics, Vol. 319, Issue 1
  • DOI: 10.1007/s00220-012-1607-8

Constraints on chiral operators in N = 2 $$ \mathcal{N}=2 $$ SCFTs
journal, December 2014

  • Buican, Matthew; Nishinaka, Takahiro; Papageorgakis, Constantinos
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)095

Four Dimensional Superconformal Index from q -Deformed Two Dimensional Yang-Mills Theory
journal, June 2011

Complete graphs, Hilbert series, and the Higgs branch of the 4d <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> SCFTs
journal, May 2015

NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES
journal, February 2013

  • Chacaltana, Oscar; Distler, Jacques; Tachikawa, Yuji
  • International Journal of Modern Physics A, Vol. 28, Issue 03n04
  • DOI: 10.1142/S0217751X1340006X

The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points
journal, April 2014

  • Beem, Christopher; Gadde, Abhijit
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)036

M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I
journal, April 2014

$ \mathcal{N} $ =1 dynamics with T N theory
journal, October 2013

  • Maruyoshi, Kazunobu; Tachikawa, Yuji; Yan, Wenbin
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)010

Chiral algebras of class S $$ \mathcal{S} $$
journal, May 2015

  • Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)020

Chiral algebras for trinion theories
journal, February 2015

  • Lemos, Madalena; Peelaers, Wolfger
  • Journal of High Energy Physics, Vol. 2015, Issue 2
  • DOI: 10.1007/JHEP02(2015)113

Infinite Chiral Symmetry in Four Dimensions
journal, January 2015

  • Beem, Christopher; Lemos, Madalena; Liendo, Pedro
  • Communications in Mathematical Physics, Vol. 336, Issue 3
  • DOI: 10.1007/s00220-014-2272-x

N = 2 $$ \mathcal{N}=2 $$ central charge bounds from 2d chiral algebras
journal, April 2016

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    • DOI: 10.3204/pubdb-2017-11690

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    journal, March 2018

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    journal, September 2018

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