4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes

Bah, Ibrahima; Hanany, Amihay; Maruyoshi, Kazunobu; Razamat, Shlomo S.; Tachikawa, Yuji; Zafrir, Gabi

doi:10.1007/JHEP06(2017)022

Title: 4d $$ \mathcal{N}=1 $$ from 6d $$ \mathcal{N}=\left(1,0\right) $$ on a torus with fluxes

Abstract

Compactifying N = (1, 0) theories on a torus, with additional fluxes for global symmetries, we obtain N = 1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. Particularly we compare the anomalies deduced from the description of the six dimensional theory and the anomalies of the quiver gauge theories. Also, we give predictions for anomalies of four-dimensional theories corresponding to general compactifi cations of M5-branes probing C²/Z_k singularities.

Authors:

Bah, Ibrahima ^[1]; Hanany, Amihay ^[2]; Maruyoshi, Kazunobu ^[3]; Razamat, Shlomo S. ^[4]; Tachikawa, Yuji ^[5]; Zafrir, Gabi ^[5]

Univ. of California, San Diego, CA (United States). Dept. of Physics; Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy
Imperial College, London (United Kingdom)
Seikei Univ., Tokyo (Japan)
Technion, Haifa (Israel). Dept. of Physics
Univ. of Tokyo (Japan). Inst. for the Physics and Mathematics of the Universe (IPMU)

Publication Date:: Mon Jun 05 00:00:00 EDT 2017

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

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

OSTI Identifier:: 1374894

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: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Higher Dimensions; Supersymmetric Gauge Theory

Citation Formats


                    Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, and Zafrir, Gabi. 4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP06(2017)022.

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                    Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, & Zafrir, Gabi. 4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes.  United States.  https://doi.org/10.1007/JHEP06(2017)022

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                    Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, and Zafrir, Gabi. Mon .  
"4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes".  United States.  https://doi.org/10.1007/JHEP06(2017)022.  https://www.osti.gov/servlets/purl/1374894.

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@article{osti_1374894,

  title        = {4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes},

  author       = {Bah, Ibrahima and Hanany, Amihay and Maruyoshi, Kazunobu and Razamat, Shlomo S. and Tachikawa, Yuji and Zafrir, Gabi},

  abstractNote = {Compactifying N = (1, 0) theories on a torus, with additional fluxes for global symmetries, we obtain N = 1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. Particularly we compare the anomalies deduced from the description of the six dimensional theory and the anomalies of the quiver gauge theories. Also, we give predictions for anomalies of four-dimensional theories corresponding to general compactifi cations of M5-branes probing C2/Zk singularities.},

  doi          = {10.1007/JHEP06(2017)022},

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

  number       = 6,

  volume       = 2017,

  place        = {United States},

  year         = {Mon Jun 05 00:00:00 EDT 2017},

  month        = {Mon Jun 05 00:00:00 EDT 2017}

}

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Title: 4d $$ \mathcal{N}=1 $$ from 6d $$ \mathcal{N}=\left(1,0\right) $$ on a torus with fluxes

Abstract

Citation Formats

Mastering the Master Space journal, July 2008

T ρ σ (G) theories and their Hilbert series journal, January 2015

N = 2 dualities journal, August 2012

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

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

Brane dimers and quiver gauge theories journal, January 2006

4d N = 1 $$ \mathcal{N}=1 $$ from 6d (1, 0) journal, April 2017

6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ theories on T2 and class S theories. Part I journal, July 2015

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

D-brane gauge theories from toric singularities and toric duality journal, February 2001

Gauge theories from toric geometry and brane tilings journal, January 2006

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

Webs of ( p , q ) 5-branes, five dimensional field theories and grid diagrams journal, January 1998

Highest weight generating functions for Hilbert series journal, October 2014

Exactly marginal deformations and global symmetries journal, June 2010

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

Quiver theories for moduli spaces of classical group nilpotent orbits journal, June 2016

Chiral compactifications of 6D superconformal theories journal, March 2001

Brane boxes and branes on singularities journal, May 1998

A property of electric and magnetic flux in non-Abelian gauge theories journal, January 1979

Supersymmetric index in four-dimensional gauge theories journal, January 2001

Tri-vertices and SU(2)’s journal, February 2011

6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching journal, October 2014

Conformal manifolds for the conifold and other toric field theories journal, August 2005

N = 1 superconformal theories with D N blocks journal, April 2017

Baryonic generating functions journal, December 2007

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

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

Bootstrapping the superconformal index with surface defects journal, January 2013

E-String Theory on Riemann Surfaces journal, November 2017

AdS7/CFT6 with orientifolds journal, January 2018

Sequences of 6d SCFTs on generic Riemann surfaces journal, January 2020

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

4D gauge theories with conformal matter journal, September 2018

Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d journal, December 2019

Punctures and dynamical systems journal, August 2018

Top down approach to 6D SCFTs journal, February 2019

Compactification of 6D minimal SCFTs on Riemann surfaces journal, September 2018

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

E-String Theory on Riemann Surfaces text, January 2017

4D Gauge Theories with Conformal Matter text, January 2018

Top Down Approach to 6D SCFTs text, January 2018

Sequences of $6d$ SCFTs on generic Riemann surfaces text, January 2019

Mastering the Master Space
journal, July 2008

T ρ σ (G) theories and their Hilbert series
journal, January 2015

N = 2 dualities
journal, August 2012

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

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

Brane dimers and quiver gauge theories
journal, January 2006

4d N = 1 $$ \mathcal{N}=1 $$ from 6d (1, 0)
journal, April 2017

6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ theories on T2 and class S theories. Part I
journal, July 2015

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

D-brane gauge theories from toric singularities and toric duality
journal, February 2001

Gauge theories from toric geometry and brane tilings
journal, January 2006

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

Webs of ( p , q ) 5-branes, five dimensional field theories and grid diagrams
journal, January 1998

Highest weight generating functions for Hilbert series
journal, October 2014

Exactly marginal deformations and global symmetries
journal, June 2010

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

Quiver theories for moduli spaces of classical group nilpotent orbits
journal, June 2016

Chiral compactifications of 6D superconformal theories
journal, March 2001

Brane boxes and branes on singularities
journal, May 1998

A property of electric and magnetic flux in non-Abelian gauge theories
journal, January 1979

Supersymmetric index in four-dimensional gauge theories
journal, January 2001

Tri-vertices and SU(2)’s
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6d, N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ Coulomb branch anomaly matching
journal, October 2014

Conformal manifolds for the conifold and other toric field theories
journal, August 2005

$N = 1$ superconformal theories with $D_{N}$ blocks
journal, April 2017

Baryonic generating functions
journal, December 2007

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

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

Bootstrapping the superconformal index with surface defects
journal, January 2013

E-String Theory on Riemann Surfaces
journal, November 2017

AdS7/CFT6 with orientifolds
journal, January 2018

Sequences of 6d SCFTs on generic Riemann surfaces
journal, January 2020

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Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
journal, December 2019

Punctures and dynamical systems
journal, August 2018

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journal, February 2019

Compactification of 6D minimal SCFTs on Riemann surfaces
journal, September 2018

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

E-String Theory on Riemann Surfaces
text, January 2017

4D Gauge Theories with Conformal Matter
text, January 2018

Top Down Approach to 6D SCFTs
text, January 2018

Sequences of $6d$ SCFTs on generic Riemann surfaces
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