New dualities and misleading anomaly matchings from outer-automorphism twists

Pal, Sridip; Song, Jaewon

doi:10.1007/JHEP03(2017)159

Title: New dualities and misleading anomaly matchings from outer-automorphism twists

Abstract

We study four-dimensional N=1, 2 superconformal theories in class S obtained by compactifying the 6d N=(2, 0) theory on a Riemann surface C with outer-automorphism twist lines. From the pair-of-pants decompositions of C, we find various dual descriptions for the same theory having distinct gauge groups. We show that the various configurations of the twist line give rise to dual descriptions for the identical theory. We compute the ’t Hooft anomaly coefficients and the superconformal indices to test dualities. Surprisingly, we find that the class S theories with twist lines wrapping 1-cycles of C have the identical ’t Hooft anomalies as the ones without the twist line, whereas the superconformal indices differ. As a result, this provides a large set of examples where the anomaly matching is insufficient to test dualities.

Authors:

Pal, Sridip ^[1];

^[1]

Univ. of California, San Diego, La Jolla, CA (United States)

Publication Date:: Wed Mar 29 00:00:00 EDT 2017

Research Org.:: Univ. of California, San Diego, La Jolla, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1361192

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: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; anomalies in field and string theories; supersymmetric gauge theory; supersymmetry and duality; M-theory

Citation Formats


                    Pal, Sridip, and Song, Jaewon. New dualities and misleading anomaly matchings from outer-automorphism twists.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP03(2017)159.

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                    Pal, Sridip, & Song, Jaewon. New dualities and misleading anomaly matchings from outer-automorphism twists.  United States.  https://doi.org/10.1007/JHEP03(2017)159

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                    Pal, Sridip, and Song, Jaewon. Wed .  
"New dualities and misleading anomaly matchings from outer-automorphism twists".  United States.  https://doi.org/10.1007/JHEP03(2017)159.  https://www.osti.gov/servlets/purl/1361192.

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@article{osti_1361192,

  title        = {New dualities and misleading anomaly matchings from outer-automorphism twists},

  author       = {Pal, Sridip and Song, Jaewon},

  abstractNote = {We study four-dimensional N=1, 2 superconformal theories in class S obtained by compactifying the 6d N=(2, 0) theory on a Riemann surface C with outer-automorphism twist lines. From the pair-of-pants decompositions of C, we find various dual descriptions for the same theory having distinct gauge groups. We show that the various configurations of the twist line give rise to dual descriptions for the identical theory. We compute the ’t Hooft anomaly coefficients and the superconformal indices to test dualities. Surprisingly, we find that the class S theories with twist lines wrapping 1-cycles of C have the identical ’t Hooft anomalies as the ones without the twist line, whereas the superconformal indices differ. As a result, this provides a large set of examples where the anomaly matching is insufficient to test dualities.},

  doi          = {10.1007/JHEP03(2017)159},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2017,

  place        = {United States},

  year         = {Wed Mar 29 00:00:00 EDT 2017},

  month        = {Wed Mar 29 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referencing / citing this record:

2D CFT blocks for the 4D class S k $$ {\mathcal{S}}_k $$ theories
journal, August 2017

Mitev, Vladimir; Pomoni, Elli
Journal of High Energy Physics, Vol. 2017, Issue 8
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2D CFT blocks for the 4D class $\mathcal{S}_k$ theories
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Mitev, Vladimir; Pomoni, Elli
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2D CFT blocks for the 4D class $\mathcal{S}_k$ theories
text, January 2017

Mitev, Vladimir; Pomoni, Elli
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Title: New dualities and misleading anomaly matchings from outer-automorphism twists

Abstract

Citation Formats

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

Misleading anomaly matchings? journal, June 1998

On the ISS model of dynamical SUSY breaking journal, January 2011

N = 2 dualities journal, August 2012

Six-dimensional D N theory and four-dimensional SO-USp quivers journal, July 2009

Tinkertoys for Gaiotto duality journal, November 2010

Tinkertoys for the D N series journal, February 2013

The gravity duals of SO/USp superconformal quivers journal, July 2012

Gaiotto duality for the twisted A 2N −1 series journal, May 2015

Tinkertoys for the E 6 theory journal, September 2015

Tinkertoys for the twisted D-series journal, April 2015

Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities journal, January 2010

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

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

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

Linear quivers and N $$ \mathcal{N} $$ = 1 SCFTs from M5-branes journal, August 2014

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

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

S-duality and 2d topological QFT journal, March 2010

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

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Bootstrapping the superconformal index with surface defects journal, January 2013

2d TQFT structure of the superconformal indices with outer-automorphism twists journal, March 2013

The superconformal index of class $ \mathcal{S} $ theories of type D journal, May 2014

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

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

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

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

Central Charges of Liouville and Toda Theories from M 5 -Branes journal, September 2010

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

Non-abelian tensor-multiplet anomalies journal, September 1998

Anomaly matching and a Hopf–Wess–Zumino term in six-dimensional, field theories journal, August 2000

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

N = 1 $$ \mathcal{N}=1 $$ theories of class S k $$ {\mathcal{S}}_k $$ journal, July 2015

Geometric engineering, mirror symmetry and 6 d 1 0 → 4 d N = 2 $$ 6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)} $$ journal, November 2015

(0,4) dualities journal, March 2016

Global Properties of Supersymmetric Theories and the Lens Space journal, July 2014

2D CFT blocks for the 4D class S k $$ {\mathcal{S}}_k $$ theories journal, August 2017

2D CFT blocks for the 4D class $\mathcal{S}_k$ theories text, January 2017

2D CFT blocks for the 4D class $\mathcal{S}_k$ theories text, January 2017

Electric-magnetic duality in supersymmetric non-Abelian gauge theories
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Misleading anomaly matchings?
journal, June 1998

On the ISS model of dynamical SUSY breaking
journal, January 2011

N = 2 dualities
journal, August 2012

Six-dimensional D _N theory and four-dimensional SO-USp quivers
journal, July 2009

Tinkertoys for Gaiotto duality
journal, November 2010

Tinkertoys for the D N series
journal, February 2013

The gravity duals of SO/USp superconformal quivers
journal, July 2012

Gaiotto duality for the twisted A 2N −1 series
journal, May 2015

Tinkertoys for the E 6 theory
journal, September 2015

Tinkertoys for the twisted D-series
journal, April 2015

Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities
journal, January 2010

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

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

Linear quivers and N $$ \mathcal{N} $$ = 1 SCFTs from M5-branes
journal, August 2014

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

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

S-duality and 2d topological QFT
journal, March 2010

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

Gauge Theories and Macdonald Polynomials
journal, November 2012

Bootstrapping the superconformal index with surface defects
journal, January 2013

2d TQFT structure of the superconformal indices with outer-automorphism twists
journal, March 2013

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

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

Correlation functions of conserved currents in calN = 2 superconformal theory
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NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES
journal, February 2013

Central Charges of Liouville and Toda Theories from $M 5$ -Branes
journal, September 2010

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

Non-abelian tensor-multiplet anomalies
journal, September 1998

Anomaly matching and a Hopf–Wess–Zumino term in six-dimensional, field theories
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Central charges and U(1) _R symmetries in Script N = 1 super Yang-Mills
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N = 1 $$ \mathcal{N}=1 $$ theories of class S k $$ {\mathcal{S}}_k $$
journal, July 2015

Geometric engineering, mirror symmetry and 6 d 1 0 → 4 d N = 2 $$ 6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)} $$
journal, November 2015

(0,4) dualities
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Global Properties of Supersymmetric Theories and the Lens Space
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2D CFT blocks for the 4D class S k $$ {\mathcal{S}}_k $$ theories
journal, August 2017

2D CFT blocks for the 4D class $\mathcal{S}_k$ theories
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