skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Constraints on chiral operators in N = 2 SCFTs

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1];  [2]
  1. Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy
  2. Rutgers Univ., Piscataway, NJ (United States). Dept. of Physics and Astronomy; Queen Mary Univ. of London (United Kingdom). School of Physics and Astronomy
+ Show Author Affiliations

We study certain higher-spin chiral operators in N = 2 superconformal field theories (SCFTs). In Lagrangian theories, or in theories related to Lagrangian theories by generalized Argyres-Seiberg-Gaiotto duality (“type A” theories in our classification), we give a simple superconformal representation theory proof that such operators do not exist. This argument is independent of the details of the superconformal index. We then use the index to show that if a theory is not of type A but has an N = 2-preserving deformation by a relevant operator that takes it to a theory of this type in the infrared, the ultraviolet theory cannot have these higher-spin operators either. As an application of this discussion, we give a simple prescription to extract the 2a - c conformal anomaly directly from the superconformal index. We also comment on how this procedure works in the holographic limit.

Research Organization:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0007897; SC0003883; SC0010008
OSTI ID:
1454527
Journal Information:
Journal of High Energy Physics (Online), Vol. 2014, Issue 12; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 37 works
Citation information provided by
Web of Science

References (40)

Carving out the space of 4D CFTs journal May 2012
Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories journal January 2008
N = 2 dualities journal August 2012
The shortened KK spectrum of IIB supergravity on Y p,q journal February 2014
Superconformal fixed points with En global symmetry journal March 1997
An N = 2 superconformal fixed point with E6 global symmetry journal December 1996
OnS-duality in Abelian gauge theory journal September 1995
Localization on Hopf surfaces journal August 2014
On Compact Analytic Surfaces, III journal July 1963
The geometry of supersymmetric partition functions journal January 2014
Integration over the $u$-plane in Donaldson theory journal January 1997
1/N 2 corrections to the holographic Weyl anomaly journal January 2014
New phenomena in SU(3) supersymmetric gauge theory journal August 1995
An Index for 4 Dimensional Super Conformal Theories journal June 2007
The Hilbert series of the one instanton moduli space journal June 2010
Central charges and RG flow of strongly-coupled $ \mathcal{N}=2 $ theory journal March 2013
Group-Theoretical Approach to Extended Conformal Supersymmetry: Function Space Realizations and Invariant Differential Operators journal January 1987
Gauge Theories and Macdonald Polynomials journal November 2012
Chiral Rings and Anomalies in Supersymmetric Gauge Theory journal December 2002
Erratum to: “CFT's from Calabi–Yau four-folds” journal August 2001
The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories journal January 2004
N=1 Superconformal Symmetry in Four-Dimensional Quantum Field Theory journal March 1999
Counting BPS operators in the chiral ring of $\cal N=2$ supersymmetric gauge theories or $\cal N=2$ braine surgery journal January 2007
Central charges of 𝒩 = 2 superconformal field theories in four dimensions journal September 2008
Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions journal June 2012
Bounding scalar operator dimensions in 4 D CFT journal December 2008
On Compact Analytic Surfaces: II journal May 1963
The complete superconformal index for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math> Chern–Simons theory journal November 2009
Minimal distances between SCFTs journal January 2014
Rigid supersymmetric theories in curved superspace journal June 2011
Conformal collider physics: energy and charge correlations journal May 2008
On short and semi-short representations for four-dimensional superconformal symmetry journal September 2003
New = 2 superconformal field theories in four dimensions journal February 1996
Counting chiral primaries in , superconformal field theories journal July 2006
Localization of $ \mathcal{N} = 4 $ superconformal field theory on S 1 × S 3 and index journal November 2011
S-duality in N = 2 supersymmetric gauge theories journal December 2007
General Argyres-Douglas theory journal January 2013
Current OPEs in superconformal theories journal September 2011
All positive energy unitary irreducible representations of extended conformal supersymmetry journal November 1985
Bootstrapping the superconformal index with surface defects journal January 2013

Cited By (8)

Implications of ANEC for SCFTs in four dimensions journal January 2020
On the large R-charge N$$ \mathcal{N} $$ = 2 chiral correlators and the Toda equation journal February 2019
Double scaling limit of N $$ \mathcal{N} $$ = 2 chiral correlators with Maldacena-Wilson loop journal February 2019
Superconformal index of higher derivative N = 1 $$ \mathcal{N}=1 $$ multiplets in four dimensions journal October 2018
On the superconformal index of Argyres–Douglas theories journal December 2015
On the Superconformal Index of Argyres-Douglas Theories text January 2015
Schur Indices, BPS Particles, and Argyres-Douglas Theories text January 2015
Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters text January 2017

Similar Records

Argyres-Douglas theories and S-duality
Journal Article · Fri Feb 27 00:00:00 EST 2015 · Journal of High Energy Physics (Online) · OSTI ID:1454527
+1 more
Quiver tails and $\mathcal{N}=1 $ SCFTs from M5-branes
Journal Article · Tue Mar 10 00:00:00 EDT 2015 · Journal of High Energy Physics (Online) · OSTI ID:1454527
+1 more
Argyres-Douglas theories, the Macdonald index, and an RG inequality
Journal Article · Wed Feb 24 00:00:00 EST 2016 · Journal of High Energy Physics (Online) · OSTI ID:1454527

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
extended supersymmetry
conformal and W symmetry
anomalies in field and string theories