Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities

Apruzzi, Fabio; Lawrie, Craig; Lin, Ling; Schäfer-Nameki, Sakura; Wang, Yi-Nan

doi:10.1007/jhep03(2020)052

Title: Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities

Abstract

In [1, 2] we proposed an approach based on graphs to characterize 5d superconformal field theories (SCFTs), which arise as compactifications of 6d$$$$ \mathcal{N} $$$$ $N$ = (1,0) SCFTs. The graphs, so-called combined fiber diagrams (CFDs), are derived using the realization of 5d SCFTs via M-theory on a non-compact Calabi-Yau threefold with a canonical singularity. In this paper we complement this geometric approach by connecting the CFD of an SCFT to its weakly coupled gauge theory or quiver descriptions and demonstrate that the CFD as recovered from the gauge theory approach is consistent with that as determined by geometry. To each quiver description we also associate a graph, and the embedding of this graph into the CFD that is associated to an SCFT provides a systematic way to enumerate all possible consistent weakly coupled gauge theory descriptions of this SCFT. Furthermore, different embeddings of gauge theory graphs into a fixed CFD can give rise to new UV-dualities for which we provide evidence through an analysis of the prepotential, and which, for some examples, we substantiate by constructing the M-theory geometry in which the dual quiver descriptions are manifest.

Authors:

Apruzzi, Fabio ^[1]; Lawrie, Craig ^[2]; Lin, Ling ^[2]; Schäfer-Nameki, Sakura ^[1]; Wang, Yi-Nan ^[1]

Univ. of Oxford (United Kingdom). Mathematical Inst.
Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy

Publication Date:: Tue Mar 10 00:00:00 EDT 2020

Research Org.:: Univ. of Pennsylvania, Philadelphia, PA (United States)

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

OSTI Identifier:: 1804013

Grant/Contract Number:: SC0013528

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: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics

Citation Formats


                    Apruzzi, Fabio, Lawrie, Craig, Lin, Ling, Schäfer-Nameki, Sakura, and Wang, Yi-Nan. Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep03(2020)052.

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                    Apruzzi, Fabio, Lawrie, Craig, Lin, Ling, Schäfer-Nameki, Sakura, & Wang, Yi-Nan. Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities.  United States.  https://doi.org/10.1007/jhep03(2020)052

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                    Apruzzi, Fabio, Lawrie, Craig, Lin, Ling, Schäfer-Nameki, Sakura, and Wang, Yi-Nan. Tue .  
"Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities".  United States.  https://doi.org/10.1007/jhep03(2020)052.  https://www.osti.gov/servlets/purl/1804013.

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@article{osti_1804013,

  title        = {Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities},

  author       = {Apruzzi, Fabio and Lawrie, Craig and Lin, Ling and Schäfer-Nameki, Sakura and Wang, Yi-Nan},

  abstractNote = {In [1, 2] we proposed an approach based on graphs to characterize 5d superconformal field theories (SCFTs), which arise as compactifications of 6d$$ \mathcal{N} $$N= (1,0) SCFTs. The graphs, so-called combined fiber diagrams (CFDs), are derived using the realization of 5d SCFTs via M-theory on a non-compact Calabi-Yau threefold with a canonical singularity. In this paper we complement this geometric approach by connecting the CFD of an SCFT to its weakly coupled gauge theory or quiver descriptions and demonstrate that the CFD as recovered from the gauge theory approach is consistent with that as determined by geometry. To each quiver description we also associate a graph, and the embedding of this graph into the CFD that is associated to an SCFT provides a systematic way to enumerate all possible consistent weakly coupled gauge theory descriptions of this SCFT. Furthermore, different embeddings of gauge theory graphs into a fixed CFD can give rise to new UV-dualities for which we provide evidence through an analysis of the prepotential, and which, for some examples, we substantiate by constructing the M-theory geometry in which the dual quiver descriptions are manifest.},

  doi          = {10.1007/jhep03(2020)052},

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

  number       = 3,

  volume       = 2020,

  place        = {United States},

  year         = {Tue Mar 10 00:00:00 EDT 2020},

  month        = {Tue Mar 10 00:00:00 EDT 2020}

}

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Title: Fibers add flavor. Part II. 5d SCFTs, gauge theories, and dualities

Abstract

Citation Formats

Classification of 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ gauge theories journal, November 2015

Branes, superpotentials and superconformal fixed points journal, October 1997

Flopping and slicing: $\operatorname{SO}(4)$ and $\operatorname{Spin}(4)$-models journal, January 2019

The Tate form on steroids: resolution and higher codimension fibers journal, April 2013

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5-dim superconformal index with enhanced E n global symmetry journal, October 2012

F-theory and all things rational: surveying U(1) symmetries with rational sections journal, September 2015

Classifying 5d SCFTs via 6d SCFTs: arbitrary rank journal, October 2019

Singularities and gauge theory phases journal, January 2015

Extremal transitions and five-dimensional supersymmetric field theories journal, January 1997

6d Conformal matter journal, February 2015

Discrete theta angle from an O5-plane journal, November 2017

General instanton counting and 5d SCFT journal, July 2015

The Geometry of the SU(2) × G2-model journal, February 2019

Compactifications of F-theory on Calabi-Yau threefolds (II) journal, September 1996

Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective journal, January 2019

Classification of 4d $ \mathcal{N} $ =2 gauge theories journal, December 2013

Five-branes, seven-branes and five-dimensional E n field theories journal, March 1999

Brane webs and O5-planes journal, March 2016

6D SCFTs and phases of 5D theories journal, September 2017

Evidence for F-theory journal, June 1996

Phases of 5d SCFTs from M-/F-theory on non-flat fibrations journal, May 2019

Atomic classification of 6D SCFTs: Atomic classification of 6D SCFTs journal, June 2015

Compactifications of F-theory on Calabi-Yau threefolds. (I) journal, August 1996

Fibers add flavor. Part I. Classification of 5d SCFTs, flavor symmetries and BPS states journal, November 2019

5-brane webs, symmetry enhancement, and duality in 5d supersymmetric gauge theory journal, March 2014

Small resolutions of SU(5)-models in F-theory journal, January 2013

Phases, flops and F-theory: SU(5) gauge theories journal, October 2013

S 1 /T 2 compactifications of 6d N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ theories and brane webs journal, March 2016

E 8 instantons on type-A ALE spaces and supersymmetric field theories journal, September 2017

Fiber-base duality and global symmetry enhancement journal, April 2015

F-theory fluxes, chirality and Chern-Simons theories journal, March 2012

On geometric classification of 5d SCFTs journal, April 2018

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics journal, November 1996

Box graphs and resolutions II: From Coulomb phases to fiber faces journal, April 2016

Box graphs and resolutions I journal, April 2016

Duality walls and defects in 5d N = 1 $$ \mathcal{N}=1 $$ theories journal, January 2017

Tropical geometry and five dimensional Higgs branches at infinite coupling journal, January 2019

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

Yukawas, G-flux, and spectral covers from resolved Calabi-Yau’s journal, November 2011

Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT journal, June 2017

Small instantons, del Pezzo surfaces and type I' theory journal, July 1997

Singularities and gauge theory phases, II journal, January 2016

5-brane webs for 5d $$ \mathcal{N} $$ = 1 G2 gauge theories journal, March 2018

Instanton operators and symmetry enhancement in 5D supersymmetric gauge theories journal, April 2015

Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces journal, July 1997

Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories journal, July 2015

-flux, chiral matter and singularity resolution in F-theory compactifications journal, May 2012

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Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories journal, July 2015

A note on instanton operators, instanton particles, and supersymmetry journal, May 2016

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On the classification of 6D SCFTs and generalized ADE orbifolds journal, May 2014

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The D4–D8 brane system and five dimensional fixed points journal, August 1999

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Classification of 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ gauge theories
journal, November 2015

Branes, superpotentials and superconformal fixed points
journal, October 1997

Flopping and slicing: $\operatorname{SO}(4)$ and $\operatorname{Spin}(4)$-models
journal, January 2019

The Tate form on steroids: resolution and higher codimension fibers
journal, April 2013

Box graphs and singular fibers
journal, May 2014

5-dim superconformal index with enhanced E n global symmetry
journal, October 2012

F-theory and all things rational: surveying U(1) symmetries with rational sections
journal, September 2015

Classifying 5d SCFTs via 6d SCFTs: arbitrary rank
journal, October 2019

Singularities and gauge theory phases
journal, January 2015

Extremal transitions and five-dimensional supersymmetric field theories
journal, January 1997

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journal, February 2015

Discrete theta angle from an O5-plane
journal, November 2017

General instanton counting and 5d SCFT
journal, July 2015

The Geometry of the SU(2) × G2-model
journal, February 2019

Compactifications of F-theory on Calabi-Yau threefolds (II)
journal, September 1996

Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
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Classification of 4d $ \mathcal{N} $ =2 gauge theories
journal, December 2013

Five-branes, seven-branes and five-dimensional E _n field theories
journal, March 1999

Brane webs and O5-planes
journal, March 2016

6D SCFTs and phases of 5D theories
journal, September 2017

Evidence for F-theory
journal, June 1996

Phases of 5d SCFTs from M-/F-theory on non-flat fibrations
journal, May 2019

Atomic classification of 6D SCFTs: Atomic classification of 6D SCFTs
journal, June 2015

Compactifications of F-theory on Calabi-Yau threefolds. (I)
journal, August 1996

Fibers add flavor. Part I. Classification of 5d SCFTs, flavor symmetries and BPS states
journal, November 2019

5-brane webs, symmetry enhancement, and duality in 5d supersymmetric gauge theory
journal, March 2014

Small resolutions of SU(5)-models in F-theory
journal, January 2013

Phases, flops and F-theory: SU(5) gauge theories
journal, October 2013

S 1 /T 2 compactifications of 6d N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ theories and brane webs
journal, March 2016

E 8 instantons on type-A ALE spaces and supersymmetric field theories
journal, September 2017

Fiber-base duality and global symmetry enhancement
journal, April 2015

F-theory fluxes, chirality and Chern-Simons theories
journal, March 2012

On geometric classification of 5d SCFTs
journal, April 2018

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics
journal, November 1996

Box graphs and resolutions II: From Coulomb phases to fiber faces
journal, April 2016

Box graphs and resolutions I
journal, April 2016

Duality walls and defects in 5d N = 1 $$ \mathcal{N}=1 $$ theories
journal, January 2017

Tropical geometry and five dimensional Higgs branches at infinite coupling
journal, January 2019

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

Yukawas, G-flux, and spectral covers from resolved Calabi-Yau’s
journal, November 2011

Three dimensional canonical singularity and five dimensional N $$ \mathcal{N} $$ = 1 SCFT
journal, June 2017

Small instantons, del Pezzo surfaces and type I' theory
journal, July 1997

Singularities and gauge theory phases, II
journal, January 2016

5-brane webs for 5d $$ \mathcal{N} $$ = 1 G2 gauge theories
journal, March 2018

Instanton operators and symmetry enhancement in 5D supersymmetric gauge theories
journal, April 2015

Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces
journal, July 1997

Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
journal, July 2015

-flux, chiral matter and singularity resolution in F-theory compactifications
journal, May 2012

5d superconformal field theories and graphs
journal, January 2020

Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories
journal, July 2015

A note on instanton operators, instanton particles, and supersymmetry
journal, May 2016

F-theory and 2d (0, 2) theories
journal, May 2016

On the classification of 6D SCFTs and generalized ADE orbifolds
journal, May 2014

5d quivers and their AdS 6 duals
journal, July 2012

The D4–D8 brane system and five dimensional fixed points
journal, August 1999

Dualities and 5-brane webs for 5d rank 2 SCFTs
journal, December 2018

$E_8$ instantons on type-A ALE spaces and supersymmetric field theories
text, January 2017