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:
-
- Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy
- Publication Date:
- 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:
- Journal Article: Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- 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.
Buican, Matthew, & Nishinaka, Takahiro. Compact conformal manifolds. United States. https://doi.org/10.1007/JHEP01(2015)112
Buican, Matthew, and Nishinaka, Takahiro. 2015.
"Compact conformal manifolds". United States. https://doi.org/10.1007/JHEP01(2015)112. https://www.osti.gov/servlets/purl/1454525.
@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},
url = {https://www.osti.gov/biblio/1454525},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
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}
}
Web of Science
Works referenced in this record:
N = 2 dualities
journal, August 2012
- Gaiotto, Davide
- Journal of High Energy Physics, Vol. 2012, Issue 8
Current correlators and AdS/CFT geometry
journal, January 2006
- Barnes, Edwin; Gorbatov, Elie; Intriligator, Ken
- Nuclear Physics B, Vol. 732, Issue 1-2
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
Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory
journal, July 1995
- Leigh, Robert G.; Strassler, Matthew J.
- Nuclear Physics B, Vol. 447, Issue 1
The constraints of conformal symmetry on RG flows
journal, July 2012
- Komargodski, Zohar
- Journal of High Energy Physics, Vol. 2012, Issue 7
Central charges and RG flow of strongly-coupled $ \mathcal{N}=2 $ theory
journal, March 2013
- Xie, Dan; Zhao, Peng
- Journal of High Energy Physics, Vol. 2013, Issue 3
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
Comments on supercurrent multiplets, supersymmetric field theories and supergravity
journal, July 2010
- Komargodski, Zohar; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2010, Issue 7
The moduli space of vacua of N = 2 SUSY QCD and duality in N = 1 SUSY QCD
journal, July 1996
- Argyres, Philip C.; Ronen Plesser, M.; Seiberg, Nathan
- Nuclear Physics B, Vol. 471, Issue 1-2
Exact Correlation Functions in Superconformal QCD
journal, December 2014
- Baggio, Marco; Niarchos, Vasilis; Papadodimas, Kyriakos
- Physical Review Letters, Vol. 113, Issue 25
On Conformal Deformations
journal, September 2002
- Kol, Barak
- Journal of High Energy Physics, Vol. 2002, Issue 09
Exactly marginal deformations and global symmetries
journal, June 2010
- Green, Daniel; Komargodski, Zohar; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2010, Issue 6
The exact superconformal R-symmetry maximizes a
journal, September 2003
- Intriligator, Ken; Wecht, Brian
- Nuclear Physics B, Vol. 667, Issue 1-2
Topological anti-topological fusion in four-dimensional superconformal field theories
journal, August 2010
- Papadodimas, Kyriakos
- Journal of High Energy Physics, Vol. 2010, Issue 8
Magnetic monopoles as gauge particles?
journal, December 1977
- Montonen, C.; Olive, D.
- Physics Letters B, Vol. 72, Issue 1
The moduli space of vacua of N
=
2 $$ \mathcal{N}=2 $$ class S $$ \mathcal{S} $$ theories
journal, October 2014
- Xie, Dan; Yonekura, Kazuya
- Journal of High Energy Physics, Vol. 2014, Issue 10
On exactly marginal deformations of Script N = 4 SYM and Type IIB Supergravity on AdS 5 × S 5
journal, June 2002
- Aharony, Ofer; Kol, Barak; Yankielowicz, Shimon
- Journal of High Energy Physics, Vol. 2002, Issue 06
On renormalization group flows in four dimensions
journal, December 2011
- Komargodski, Zohar; Schwimmer, Adam
- Journal of High Energy Physics, Vol. 2011, Issue 12
Minimal distances between SCFTs
journal, January 2014
- Buican, Matthew
- Journal of High Energy Physics, Vol. 2014, Issue 1
Conformal collider physics: energy and charge correlations
journal, May 2008
- Hofman, Diego M.; Maldacena, Juan
- Journal of High Energy Physics, Vol. 2008, Issue 05
On short and semi-short representations for four-dimensional superconformal symmetry
journal, September 2003
- Dolan, F. A.; Osborn, H.
- Annals of Physics, Vol. 307, Issue 1
Sphere partition functions and the Zamolodchikov metric
journal, November 2014
- Gerchkovitz, Efrat; Gomis, Jaume; Komargodski, Zohar
- Journal of High Energy Physics, Vol. 2014, Issue 11
Five-dimensional supergravity dual of a-maximization
journal, January 2006
- Tachikawa, Yuji
- Nuclear Physics B, Vol. 733, Issue 1-2
On metric geometry of conformal moduli spaces of four-dimensional superconformal theories
journal, September 2010
- Asnin, Vadim
- Journal of High Energy Physics, Vol. 2010, Issue 9
S-duality in N = 2 supersymmetric gauge theories
journal, December 2007
- Argyres, Philip C.; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2007, Issue 12
Families of conformal fixed points of $ \mathcal{N} = 2 $ Chern-Simons-matter theories
journal, May 2010
- Chang, Chi-Ming; Yin, Xi
- Journal of High Energy Physics, Vol. 2010, Issue 5
All positive energy unitary irreducible representations of extended conformal supersymmetry
journal, November 1985
- Dobrev, V. K.; Petkova, V. B.
- Physics Letters B, Vol. 162, Issue 1-3
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
Anomalies, Conformal Manifolds, and Spheres
text, January 2015
- Gomis, Jaume; Hsin, Po-Shen; Komargodski, Zohar
- arXiv