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

Title: Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT

Journal Article · · Journal of High Energy Physics (Online)
 [1]
  1. Univ. of California, San Diego, CA (United States). Department of Physics
+ Show Author Affiliations

We present superconformal indices of 4d N = 2 class S theories with certain irregular punctures called type Ik,N. This class of theories include generalized Argyres-Douglas theories of type (Ak-1, AN-1) and more. We conjecture the superconformal indices in certain simplifi ed limits based on the TQFT structure of the class S theories by writing an expression for the wave function corresponding to the puncture Ik,N. We write the Schur limit of the wave function when k and N are coprime. When k = 2, we also conjecture a closed-form expression for the Hall-Littlewood index and the Macdonald index for odd N. From the index, we argue that certain short-multiplet which can appear in the OPE of the stress-energy tensor is absent in the (A1,A2n) theory. In addition, we discuss the mixed Schur indices for the N = 1 class S theories with irregular punctures.

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0009919
OSTI ID:
1327262
Journal Information:
Journal of High Energy Physics (Online), Vol. 2016, Issue 2; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 44 works
Citation information provided by
Web of Science

References (74)

N = 2 dualities journal August 2012
An Index for 4 Dimensional Super Conformal Theories journal June 2007
Counting chiral primaries in , superconformal field theories journal July 2006
S-duality and 2d topological QFT journal March 2010
Four Dimensional Superconformal Index from q -Deformed Two Dimensional Yang-Mills Theory journal June 2011
Gauge Theories and Macdonald Polynomials journal November 2012
Bootstrapping the superconformal index with surface defects journal January 2013
Black holes, q-deformed 2d Yang–Mills, and non-perturbative topological strings journal May 2005
5D SYM on 3D sphere and 2D YM journal October 2012
5D SYM and 2D q-deformed YM journal April 2013
5D SYM on 3D deformed spheres journal September 2015
On S-duality of the superconformal index on lens spaces and 2d TQFT journal May 2013
S-duality and the $ \mathcal{N}=2 $ lens space index journal October 2013
2d TQFT structure of the superconformal indices with outer-automorphism twists journal March 2013
The superconformal index of class $ \mathcal{S} $ theories of type D journal May 2014
Tinkertoys for the twisted D-series journal April 2015
New N = 1 dualities from M5-branes and outer-automorphism twists journal March 2014
Tinkertoys for the E 6 theory journal September 2015
General Argyres-Douglas theory journal January 2013
New phenomena in SU(3) supersymmetric gauge theory journal August 1995
New = 2 superconformal field theories in four dimensions journal February 1996
Argyres-Douglas theories and S-duality journal February 2015
Infinite Chiral Symmetry in Four Dimensions journal January 2015
Chiral algebras of class S $$ \mathcal{S} $$ journal May 2015
Chiral algebras for trinion theories journal February 2015
Schur indices, BPS particles, and Argyres-Douglas theories journal January 2016
Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities journal January 2010
Four-dimensional SCFTs from M5-branes journal June 2012
The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points journal April 2014
M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I journal April 2014
Central charges and RG flow of strongly-coupled $ \mathcal{N}=2 $ theory journal March 2013
Asymptotically free = 2 theories and irregular conformal blocks journal December 2013
On AGT conjecture for pure super Yang-Mills and W-algebra journal May 2011
The ABCDEFG of instantons and W-algebras journal March 2012
Liouville Correlation Functions from Four-Dimensional Gauge Theories journal January 2010
A N −1 conformal Toda field theory correlation functions from conformal 𝒩 = 2 SU( N ) quiver gauge theories journal November 2009
Wild quiver gauge theories journal February 2012
Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories journal December 2012
$ {{\mathcal{W}}_3} $ irregular states and isolated $ \mathcal{N}=2 $ superconformal field theories journal March 2013
Quantum Higgs branches of isolated $\mathcal{N}=2$ superconformal field theories journal October 2012
Mirror symmetry in three dimensional gauge theories journal October 1996
Monopole operators and Hilbert series of Coulomb branches of 3d $ \mathcal{N} $ = 4 gauge theories journal January 2014
Down the rabbit hole with theories of class S $$ \mathcal{S} $$ journal October 2014
Complete graphs, Hilbert series, and the Higgs branch of the 4d <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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> <mml:math altimg="si2.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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> SCFTs journal May 2015
$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory journal January 2009
BPS spectrum of Argyres-Douglas theory via spectral network journal December 2013
On short and semi-short representations for four-dimensional superconformal symmetry journal September 2003
Central charges of 𝒩 = 2 superconformal field theories in four dimensions journal September 2008
Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators journal January 2016
New $ \mathcal{N} $ =1 dualities journal June 2013
Quiver tails and N = 1 $$ \mathcal{N}=1 $$ SCFTs from M5-branes journal March 2015
Infinitely many N = 1 $$ \mathcal{N}=1 $$ dualities from m + 1 − m = 1 journal October 2015
Vanishing superconformal indices and the chiral symmetry breaking journal June 2014
Generalized Hitchin system, spectral curve and $ \mathcal{N} $ =1 dynamics journal January 2014
Central charges of N=2 superconformal field theories in four dimensions text January 2008
Liouville Correlation Functions from Four-dimensional Gauge Theories text January 2009
S-duality and 2d Topological QFT text January 2009
On AGT Conjecture for Pure Super Yang-Mills and W-algebra text January 2009
Four-Dimensional SCFTs from M5-Branes text January 2012
Bootstrapping the superconformal index with surface defects text January 2012
On S-duality of the Superconformal Index on Lens Spaces and 2d TQFT text January 2013
Tinkertoys for the Twisted D-Series preprint January 2013
Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories text January 2013
New N=1 Dualities from M5-branes and Outer-automorphism Twists text January 2013
Infinite Chiral Symmetry in Four Dimensions text January 2013
Tinkertoys for the $E_6$ Theory preprint January 2014
Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's text January 2014
5D SYM on 3D Deformed Spheres text January 2015
Schur Indices, BPS Particles, and Argyres-Douglas Theories text January 2015
On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry text January 2002
Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings text January 2004
An Index for 4 dimensional Super Conformal Theories text January 2005
New N=2 Superconformal Field Theories in Four Dimensions text January 1995
Mirror Symmetry in Three Dimensional Gauge Theories text January 1996

Cited By (10)

On the chiral algebra of Argyres-Douglas theories and S-duality journal April 2018
Conformal manifolds in four dimensions and chiral algebras journal October 2016
Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6D (2,0) theories journal July 2019
Nonunitary Lagrangians and Unitary Non-Lagrangian Conformal Field Theories journal February 2018
Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory text January 2017
Enhancement of Supersymmetry via Renormalization Group Flow and the Superconformal Index text January 2016
Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters text January 2017
Surface Defects and Chiral Algebras text January 2017
Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory text January 2017
Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories text January 2018

Similar Records

Vertex operator algebras of Argyres-Douglas theories from M5-branes
Journal Article · Thu Dec 21 00:00:00 EST 2017 · Journal of High Energy Physics (Online) · OSTI ID:1327262
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:1327262
3d TQFTs from Argyres–Douglas theories
Journal Article · Thu Oct 08 00:00:00 EDT 2020 · Journal of Physics. A, Mathematical and Theoretical · OSTI ID:1327262
+2 more

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Supersymmetric gauge theory
Supersymmetry and Duality
Topological Field Theories