Compact conformal manifolds

Buican, Matthew; Nishinaka, Takahiro

doi:10.1007/JHEP01(2015)112

Title: Compact conformal manifolds

Abstract

In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetry guarantees that such manifolds are Kähler, and so the simplest possible non-trivial compact conformal manifold in this set of geometries is a complex one-dimensional projective space. We show that such a manifold is indeed realized and give a general prescription for constructing complex N-dimensional projective space conformal manifolds as certain small N = 2 → N = 1 breaking deformations of strongly interacting N = 2 SCFTs. In many cases, our prescription reduces the construction of such spaces to a study of the N = 2 chiral ring. We also give an algorithm for constructing more general compact spaces of SCFTs.

Authors:

Buican, Matthew ^[1]; Nishinaka, Takahiro ^[1]

Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy

Publication Date:: Wed Jan 21 00:00:00 EST 2015

Research Org.:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1454525

Grant/Contract Number:: SC0007897; SC0010008; SC0003883

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: 2015; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersymmetric gauge theory; extended supersymmetry; renormalization group

Citation Formats


                    Buican, Matthew, and Nishinaka, Takahiro. Compact conformal manifolds.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP01(2015)112.

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                    Buican, Matthew, & Nishinaka, Takahiro. Compact conformal manifolds.  United States.  https://doi.org/10.1007/JHEP01(2015)112

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                    Buican, Matthew, and Nishinaka, Takahiro. Wed .  
"Compact conformal manifolds".  United States.  https://doi.org/10.1007/JHEP01(2015)112.  https://www.osti.gov/servlets/purl/1454525.

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@article{osti_1454525,

  title        = {Compact conformal manifolds},

  author       = {Buican, Matthew and Nishinaka, Takahiro},

  abstractNote = {In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetry guarantees that such manifolds are Kähler, and so the simplest possible non-trivial compact conformal manifold in this set of geometries is a complex one-dimensional projective space. We show that such a manifold is indeed realized and give a general prescription for constructing complex N-dimensional projective space conformal manifolds as certain small N = 2 → N = 1 breaking deformations of strongly interacting N = 2 SCFTs. In many cases, our prescription reduces the construction of such spaces to a study of the N = 2 chiral ring. We also give an algorithm for constructing more general compact spaces of SCFTs.},

  doi          = {10.1007/JHEP01(2015)112},

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

  number       = 1,

  volume       = 2015,

  place        = {United States},

  year         = {Wed Jan 21 00:00:00 EST 2015},

  month        = {Wed Jan 21 00:00:00 EST 2015}

}

Copy to clipboard

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Works referenced in this record:

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Works referencing / citing this record:

On the chiral algebra of Argyres-Douglas theories and S-duality
journal, April 2018

Choi, Jaewang; Nishinaka, Takahiro
Journal of High Energy Physics, Vol. 2018, Issue 4
DOI: 10.1007/jhep04(2018)004

Anomalies, Conformal Manifolds, and Spheres
text, January 2015

Gomis, Jaume; Hsin, Po-Shen; Komargodski, Zohar
arXiv
DOI: 10.48550/arxiv.1509.08511

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Title: Compact conformal manifolds

Abstract

Citation Formats

N = 2 dualities journal, August 2012

Current correlators and AdS/CFT geometry journal, January 2006

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

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

The constraints of conformal symmetry on RG flows journal, July 2012

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

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

Comments on supercurrent multiplets, supersymmetric field theories and supergravity journal, July 2010

The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD journal, July 1996

Exact Correlation Functions in S U ( 2 ) N = 2 Superconformal QCD journal, December 2014

On Conformal Deformations journal, September 2002

Exactly marginal deformations and global symmetries journal, June 2010

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

Topological anti-topological fusion in four-dimensional superconformal field theories journal, August 2010

Magnetic monopoles as gauge particles? journal, December 1977

The moduli space of vacua of N = 2 $$ \mathcal{N}=2 $$ class S $$ \mathcal{S} $$ theories journal, October 2014

On exactly marginal deformations of Script N = 4 SYM and Type IIB Supergravity on AdS 5 × S 5 journal, June 2002

On renormalization group flows in four dimensions journal, December 2011

Minimal distances between SCFTs journal, January 2014

Conformal collider physics: energy and charge correlations journal, May 2008

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

Sphere partition functions and the Zamolodchikov metric journal, November 2014

Five-dimensional supergravity dual of a-maximization journal, January 2006

On metric geometry of conformal moduli spaces of four-dimensional superconformal theories journal, September 2010

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

Families of conformal fixed points of $ \mathcal{N} = 2 $ Chern-Simons-matter theories journal, May 2010

All positive energy unitary irreducible representations of extended conformal supersymmetry journal, November 1985

On the chiral algebra of Argyres-Douglas theories and S-duality journal, April 2018

Anomalies, Conformal Manifolds, and Spheres text, January 2015

N = 2 dualities
journal, August 2012

Current correlators and AdS/CFT geometry
journal, January 2006

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

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

The constraints of conformal symmetry on RG flows
journal, July 2012

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

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

Comments on supercurrent multiplets, supersymmetric field theories and supergravity
journal, July 2010

The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD
journal, July 1996

Exact Correlation Functions in $S U (2)$ $N = 2$ Superconformal QCD
journal, December 2014

On Conformal Deformations
journal, September 2002

Exactly marginal deformations and global symmetries
journal, June 2010

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

Topological anti-topological fusion in four-dimensional superconformal field theories
journal, August 2010

Magnetic monopoles as gauge particles?
journal, December 1977

The moduli space of vacua of N = 2 $$ \mathcal{N}=2 $$ class S $$ \mathcal{S} $$ theories
journal, October 2014

On exactly marginal deformations of Script N = 4 SYM and Type IIB Supergravity on AdS ₅ × S ⁵
journal, June 2002

On renormalization group flows in four dimensions
journal, December 2011

Minimal distances between SCFTs
journal, January 2014

Conformal collider physics: energy and charge correlations
journal, May 2008

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

Sphere partition functions and the Zamolodchikov metric
journal, November 2014

Five-dimensional supergravity dual of a-maximization
journal, January 2006

On metric geometry of conformal moduli spaces of four-dimensional superconformal theories
journal, September 2010

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

Families of conformal fixed points of $ \mathcal{N} = 2 $ Chern-Simons-matter theories
journal, May 2010

All positive energy unitary irreducible representations of extended conformal supersymmetry
journal, November 1985

On the chiral algebra of Argyres-Douglas theories and S-duality
journal, April 2018

Anomalies, Conformal Manifolds, and Spheres
text, January 2015