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

This content will become publicly available on September 11, 2021

Title: Chiral algebra, localization, modularity, surface defects, and all that

Authors:
ORCiD logo [1];  [2]
  1. Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA
  2. Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA, Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583, Japan
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1659533
Grant/Contract Number:  
de-sc0011632
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Name: Journal of Mathematical Physics Journal Volume: 61 Journal Issue: 9; Journal ID: ISSN 0022-2488
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English

Citation Formats

Dedushenko, Mykola, and Fluder, Martin. Chiral algebra, localization, modularity, surface defects, and all that. United States: N. p., 2020. Web. https://doi.org/10.1063/5.0002661.
Dedushenko, Mykola, & Fluder, Martin. Chiral algebra, localization, modularity, surface defects, and all that. United States. https://doi.org/10.1063/5.0002661
Dedushenko, Mykola, and Fluder, Martin. Tue . "Chiral algebra, localization, modularity, surface defects, and all that". United States. https://doi.org/10.1063/5.0002661.
@article{osti_1659533,
title = {Chiral algebra, localization, modularity, surface defects, and all that},
author = {Dedushenko, Mykola and Fluder, Martin},
abstractNote = {},
doi = {10.1063/5.0002661},
journal = {Journal of Mathematical Physics},
number = 9,
volume = 61,
place = {United States},
year = {2020},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on September 11, 2021
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Geometry of Higgs-branch superconformal primary bundles
journal, September 2018


N = 1 $$ \mathcal{N}=1 $$ deformations and RG flows of N = 2 $$ \mathcal{N}=2 $$ SCFTs
journal, February 2017

  • Maruyoshi, Kazunobu; Song, Jaewon
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/jhep02(2017)075

Localization of the four-dimensional $ \mathcal{N}=4 $ SYM to a two-sphere and 1/8 BPS Wilson loops
journal, December 2012


Chiral algebras of class S $$ \mathcal{S} $$
journal, May 2015

  • Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/jhep05(2015)020

Vertex operator algebras of Argyres-Douglas theories from M5-branes
journal, December 2017

  • Song, Jaewon; Xie, Dan; Yan, Wenbin
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/jhep12(2017)123

Twisting of n=1 susy Gauge Theories and Heterotic Topological Theories
journal, December 1995


The geometry of supersymmetric partition functions
journal, January 2014

  • Closset, Cyril; Dumitrescu, Thomas T.; Festuccia, Guido
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/jhep01(2014)124

Exact results for supersymmetric abelian vortex loops in 2 + 1 dimensions
journal, June 2013

  • Kapustin, Anton; Willett, Brian; Yaakov, Itamar
  • Journal of High Energy Physics, Vol. 2013, Issue 6
  • DOI: 10.1007/JHEP06(2013)099

Chiral algebras from Ω-deformation
journal, August 2019


Localization on Hopf surfaces
journal, August 2014

  • Assel, Benjamin; Cassani, Davide; Martelli, Dario
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)123

Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes
journal, October 2019

  • Cabo-Bizet, Alejandro; Cassani, Davide; Martelli, Dario
  • Journal of High Energy Physics, Vol. 2019, Issue 10
  • DOI: 10.1007/jhep10(2019)062

Gauge Theories and Macdonald Polynomials
journal, November 2012

  • Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S.
  • Communications in Mathematical Physics, Vol. 319, Issue 1
  • DOI: 10.1007/s00220-012-1607-8

Extended supersymmetry on curved spaces
journal, October 2013

  • Klare, Claudius; Zaffaroni, Alberto
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)218

VOAs labelled by complex reflection groups and 4d SCFTs
journal, May 2019

  • Bonetti, Federico; Meneghelli, Carlo; Rastelli, Leonardo
  • Journal of High Energy Physics, Vol. 2019, Issue 5
  • DOI: 10.1007/jhep05(2019)155

Conformal manifolds in four dimensions and chiral algebras
journal, October 2016


The supersymmetric index in four dimensions
journal, October 2017

  • Rastelli, Leonardo; Razamat, Shlomo S.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 44
  • DOI: 10.1088/1751-8121/aa76a6

Hidden exceptional symmetry in the pure spinor superstring
journal, January 2020


Supersymmetric Casimir energy and the anomaly polynomial
journal, September 2015

  • Bobev, Nikolay; Bullimore, Mathew; Kim, Hee-Cheol
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)142

Surface defects and chiral algebras
journal, May 2017

  • Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/jhep05(2017)140

Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions
journal, June 2012

  • Spiridonov, V. P.; Vartanov, G. S.
  • Journal of High Energy Physics, Vol. 2012, Issue 6
  • DOI: 10.1007/jhep06(2012)016

Surface defect indices and 2d-4d BPS states
journal, December 2017

  • Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)078

Four-dimensional lens space index from two-dimensional chiral algebra
journal, July 2018


The character of the supersymmetric Casimir energy
journal, August 2016


The Casimir energy in curved space and its supersymmetric counterpart
journal, July 2015

  • Assel, Benjamin; Cassani, Davide; Di Pietro, Lorenzo
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/jhep07(2015)043

Logarithmic W-algebras and Argyres-Douglas theories at higher rank
journal, November 2018


Boundaries, mirror symmetry, and symplectic duality in 3d N = 4 $$ \mathcal{N}=4 $$ gauge theory
journal, October 2016

  • Bullimore, Mathew; Dimofte, Tudor; Gaiotto, Davide
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)108

Four Dimensional Superconformal Index from q -Deformed Two Dimensional Yang-Mills Theory
journal, June 2011


Seiberg-Witten Prepotential from Instanton Counting
journal, January 2003


Macdonald index and chiral algebra
journal, August 2017


The omega deformation, branes, integrability and Liouville theory
journal, September 2010


Weyl versus conformal invariance in quantum field theory
journal, October 2017

  • Farnsworth, Kara; Luty, Markus A.; Prilepina, Valentina
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/jhep10(2017)170

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

  • Bhardwaj, Lakshya; Tachikawa, Yuji
  • Journal of High Energy Physics, Vol. 2013, Issue 12
  • DOI: 10.1007/JHEP12(2013)100

Exact correlators of BPS Operators from the 3d superconformal bootstrap
journal, March 2015

  • Chester, Shai M.; Lee, Jaehoon; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/jhep03(2015)130

SCFT/VOA correspondence via Ω-deformation
journal, October 2019


On a modular property of $ \mathcal{N}=2 $ superconformal theories in four dimensions
journal, October 2012


${{{\mathcal N}}=2}$ SUSY gauge theories on S 4
journal, October 2017


Topological quantum field theory and N=2 conformal supergravity
journal, September 1988


S-duality and the $ \mathcal{N}=2 $ lens space index
journal, October 2013

  • Razamat, Shlomo S.; Yamazaki, Masahito
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)048

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994


Holonomy groups, complex structures andD=4 topological Yang-Mills theory
journal, August 1991

  • Galperin, A.; Ogievetsky, O.
  • Communications in Mathematical Physics, Vol. 139, Issue 2
  • DOI: 10.1007/bf02352500

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

Stress-tensor OPE in N = 2 $$ \mathcal{N}=2 $$ superconformal theories
journal, February 2016

  • Liendo, Pedro; Ramírez, Israel; Seo, Jihye
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)019

Lagrangians of N = 2 supergravity-matter systems
journal, January 1985


S-duality and 2d topological QFT
journal, March 2010

  • Gadde, Abhijit; Pomoni, Elli; Rastelli, Leonardo
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/jhep03(2010)032

Superconformal index, BPS monodromy and chiral algebras
journal, November 2017

  • Cecotti, Sergio; Song, Jaewon; Vafa, Cumrun
  • Journal of High Energy Physics, Vol. 2017, Issue 11
  • DOI: 10.1007/jhep11(2017)013

Bootstrapping the superconformal index with surface defects
journal, January 2013

  • Gaiotto, Davide; Rastelli, Leonardo; Razamat, Shlomo S.
  • Journal of High Energy Physics, Vol. 2013, Issue 1
  • DOI: 10.1007/JHEP01(2013)022

IR duality in 2D N = ( 0 , 2 ) gauge theory with noncompact dynamics
journal, March 2019


Infinite Chiral Symmetry in Four Dimensions
journal, January 2015

  • Beem, Christopher; Lemos, Madalena; Liendo, Pedro
  • Communications in Mathematical Physics, Vol. 336, Issue 3
  • DOI: 10.1007/s00220-014-2272-x

The Coulomb Branch of 3d $${\mathcal{N}= 4}$$ N = 4 Theories
journal, June 2017

  • Bullimore, Mathew; Dimofte, Tudor; Gaiotto, Davide
  • Communications in Mathematical Physics, Vol. 354, Issue 2
  • DOI: 10.1007/s00220-017-2903-0

Chiral algebras, localization and surface defects
journal, February 2018


On the superconformal index of $ \mathcal{N} = 1 $ IR fixed points. A holographic check
journal, March 2011

  • Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S.
  • Journal of High Energy Physics, Vol. 2011, Issue 3
  • DOI: 10.1007/jhep03(2011)041

Twisted compactifications of 3d N$$ \mathcal{N} $$ = 4 theories and conformal blocks
journal, February 2019


Vertex operator algebras, Higgs branches, and modular differential equations
journal, August 2018

  • Beem, Christopher; Rastelli, Leonardo
  • Journal of High Energy Physics, Vol. 2018, Issue 8
  • DOI: 10.1007/JHEP08(2018)114

The superconformal index of class $ \mathcal{S} $ theories of type D
journal, May 2014

  • Lemos, Madalena; Peelaers, Wolfger; Rastelli, Leonardo
  • Journal of High Energy Physics, Vol. 2014, Issue 5
  • DOI: 10.1007/jhep05(2014)120

Chern-Simons theory from M5-branes and calibrated M2-branes
journal, August 2019

  • Mezei, Márk; Pufu, Silviu S.; Wang, Yifan
  • Journal of High Energy Physics, Vol. 2019, Issue 8
  • DOI: 10.1007/JHEP08(2019)165

3d dualities from 4d dualities
journal, July 2013

  • Aharony, Ofer; Razamat, Shlomo S.; Seiberg, Nathan
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/jhep07(2013)149

Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994


Vertex Operator Algebras and 3d N $$ \mathcal{N} $$ = 4 gauge theories
journal, May 2019


An Index for 4 Dimensional Super Conformal Theories
journal, June 2007

  • Kinney, Justin; Maldacena, Juan; Minwalla, Shiraz
  • Communications in Mathematical Physics, Vol. 275, Issue 1
  • DOI: 10.1007/s00220-007-0258-7

Deformation Quantization and Superconformal Symmetry in Three Dimensions
journal, February 2017

  • Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo
  • Communications in Mathematical Physics, Vol. 354, Issue 1
  • DOI: 10.1007/s00220-017-2845-6

2d index and surface operators
journal, March 2014


Argyres-Douglas theories, chiral algebras and wild Hitchin characters
journal, January 2018

  • Fredrickson, Laura; Pei, Du; Yan, Wenbin
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/JHEP01(2018)150

Infrared computations of defect Schur indices
journal, November 2016

  • Córdova, Clay; Gaiotto, Davide; Shao, Shu-Heng
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)106

On S-duality of the superconformal index on lens spaces and 2d TQFT
journal, May 2013

  • Alday, Luis F.; Bullimore, Mathew; Fluder, Martin
  • Journal of High Energy Physics, Vol. 2013, Issue 5
  • DOI: 10.1007/jhep05(2013)122

Schur indices, BPS particles, and Argyres-Douglas theories
journal, January 2016


Coulomb branch operators and mirror symmetry in three dimensions
journal, April 2018

  • Dedushenko, Mykola; Fan, Yale; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2018, Issue 4
  • DOI: 10.1007/jhep04(2018)037

Extensions of vertex algebras. Constructions and applications
journal, August 2017

  • Feigin, B. L.
  • Russian Mathematical Surveys, Vol. 72, Issue 4
  • DOI: 10.1070/rm9778

Supersymmetric vortex defects in two dimensions
journal, January 2018

  • Hosomichi, Kazuo; Lee, Sungjay; Okuda, Takuya
  • Journal of High Energy Physics, Vol. 2018, Issue 1
  • DOI: 10.1007/jhep01(2018)033

W $$ \mathcal{W} $$ symmetry in six dimensions
journal, May 2015

  • Beem, Christopher; Rastelli, Leonardo; van Rees, Balt C.
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)017

Exploring curved superspace
journal, August 2012

  • Dumitrescu, Thomas T.; Festuccia, Guido; Seiberg, Nathan
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)141

Chiral algebras for trinion theories
journal, February 2015

  • Lemos, Madalena; Peelaers, Wolfger
  • Journal of High Energy Physics, Vol. 2015, Issue 2
  • DOI: 10.1007/JHEP02(2015)113

Structure of N = 2 supergravity
journal, January 1981


N = 2 $$ \mathcal{N}=2 $$ central charge bounds from 2d chiral algebras
journal, April 2016


Coulomb branch quantization and abelianized monopole bubbling
journal, October 2019

  • Dedushenko, Mykola; Fan, Yale; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2019, Issue 10
  • DOI: 10.1007/jhep10(2019)179

The $ \mathcal{N} $ = 1 Chiral Multiplet on T 2 × S 2 and Supersymmetric Localization
journal, March 2014


Rigid supersymmetric theories in curved superspace
journal, June 2011

  • Festuccia, Guido; Seiberg, Nathan
  • Journal of High Energy Physics, Vol. 2011, Issue 6
  • DOI: 10.1007/jhep06(2011)114

Seiberg-Witten theories on ellipsoids
journal, September 2012


Nonunitary Lagrangians and Unitary Non-Lagrangian Conformal Field Theories
journal, February 2018


A one-dimensional theory for Higgs branch operators
journal, March 2018

  • Dedushenko, Mykola; Pufu, Silviu S.; Yacoby, Ran
  • Journal of High Energy Physics, Vol. 2018, Issue 3
  • DOI: 10.1007/jhep03(2018)138

Extended supersymmetry in the space-time R × S 3
journal, January 1990


Counting chiral primaries in , superconformal field theories
journal, July 2006


Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops
journal, May 2012


Universal features of BPS strings in six-dimensional SCFTs
journal, August 2018

  • Del Zotto, Michele; Lockhart, Guglielmo
  • Journal of High Energy Physics, Vol. 2018, Issue 8
  • DOI: 10.1007/jhep08(2018)173

N $$ \mathcal{N} $$ = 2 S-duality revisited
journal, September 2017

  • Buican, Matthew; Laczko, Zoltan; Nishinaka, Takahiro
  • Journal of High Energy Physics, Vol. 2017, Issue 9
  • DOI: 10.1007/JHEP09(2017)087

Supersymmetric localization in AdS5 and the protected chiral algebra
journal, August 2018

  • Bonetti, Federico; Rastelli, Leonardo
  • Journal of High Energy Physics, Vol. 2018, Issue 8
  • DOI: 10.1007/jhep08(2018)098

On the correspondence between surface operators in Argyres-Douglas theories and modules of chiral algebra
journal, March 2019

  • Nishinaka, Takahiro; Sasa, Shinya; Zhu, Rui-Dong
  • Journal of High Energy Physics, Vol. 2019, Issue 3
  • DOI: 10.1007/jhep03(2019)091

Rigid Surface Operators
journal, January 2010


Line defect Schur indices, Verlinde algebras and U(1)r fixed points
journal, November 2017


Global Properties of Supersymmetric Theories and the Lens Space
journal, July 2014

  • Razamat, Shlomo S.; Willett, Brian
  • Communications in Mathematical Physics, Vol. 334, Issue 2
  • DOI: 10.1007/s00220-014-2111-0