New dualities and misleading anomaly matchings from outer-automorphism twists

Pal, Sridip; Song, Jaewon

doi:10.1007/JHEP03(2017)159

Title: New dualities and misleading anomaly matchings from outer-automorphism twists

Journal Article · Wed Mar 29 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2017)159· OSTI ID:1361192

Pal, Sridip ^[1];

^[1]

Univ. of California, San Diego, La Jolla, CA (United States)

We study four-dimensional N=1, 2 superconformal theories in class S obtained by compactifying the 6d N=(2, 0) theory on a Riemann surface C with outer-automorphism twist lines. From the pair-of-pants decompositions of C, we find various dual descriptions for the same theory having distinct gauge groups. We show that the various configurations of the twist line give rise to dual descriptions for the identical theory. We compute the ’t Hooft anomaly coefficients and the superconformal indices to test dualities. Surprisingly, we find that the class S theories with twist lines wrapping 1-cycles of C have the identical ’t Hooft anomalies as the ones without the twist line, whereas the superconformal indices differ. As a result, this provides a large set of examples where the anomaly matching is insufficient to test dualities.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of California, San Diego, La Jolla, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 1361192

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 1 work

Citation information provided by
Web of Science

References (38)

Electric-magnetic duality in supersymmetric non-Abelian gauge theories Seiberg, N. Nuclear Physics B, Vol. 435, Issue 1-2 https://doi.org/10.1016/0550-3213(94)00023-8	journal	February 1995
Misleading anomaly matchings? Brodie, John; Cho, Peter; Intriligator, Kenneth Physics Letters B, Vol. 429, Issue 3-4 https://doi.org/10.1016/S0370-2693(98)00353-0	journal	June 1998
On the ISS model of dynamical SUSY breaking Vartanov, G. S. Physics Letters B, Vol. 696, Issue 3 https://doi.org/10.1016/j.physletb.2010.12.040	journal	January 2011
N = 2 dualities Gaiotto, Davide Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)034	journal	August 2012
Six-dimensional D _N theory and four-dimensional SO-USp quivers Tachikawa, Yuji Journal of High Energy Physics, Vol. 2009, Issue 07 https://doi.org/10.1088/1126-6708/2009/07/067	journal	July 2009
Tinkertoys for Gaiotto duality Chacaltana, Oscar; Distler, Jacques Journal of High Energy Physics, Vol. 2010, Issue 11 https://doi.org/10.1007/JHEP11(2010)099	journal	November 2010
Tinkertoys for the D N series Chacaltana, Oscar; Distler, Jacques Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)110	journal	February 2013
The gravity duals of SO/USp superconformal quivers Nishinaka, Takahiro Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)080	journal	July 2012
Gaiotto duality for the twisted A 2N −1 series Chacaltana, Oscar; Distler, Jacques; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)075	journal	May 2015
Tinkertoys for the E 6 theory Chacaltana, Oscar; Distler, Jacques; Trimm, Anderson Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)007	journal	September 2015
Tinkertoys for the twisted D-series Chacaltana, Oscar; Distler, Jacques; Trimm, Anderson Journal of High Energy Physics, Vol. 2015, Issue 4 https://doi.org/10.1007/JHEP04(2015)173	journal	April 2015
Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities Benini, Francesco; Tachikawa, Yuji; Wecht, Brian Journal of High Energy Physics, Vol. 2010, Issue 1 https://doi.org/10.1007/JHEP01(2010)088	journal	January 2010
Four-dimensional SCFTs from M5-branes Bah, Ibrahima; Beem, Christopher; Bobev, Nikolay Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)005	journal	June 2012
New $ \mathcal{N} $ =1 dualities Gadde, Abhijit; Maruyoshi, Kazunobu; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2013, Issue 6 https://doi.org/10.1007/JHEP06(2013)056	journal	June 2013
M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I Xie, Dan Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)154	journal	April 2014
Linear quivers and N $$ \mathcal{N} $$ = 1 SCFTs from M5-branes Bah, Ibrahima; Bobev, Nikolay Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)121	journal	August 2014
New N = 1 dualities from M5-branes and outer-automorphism twists Agarwal, Prarit; Song, Jaewon Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)133	journal	March 2014
Quiver tails and N = 1 $$ \mathcal{N}=1 $$ SCFTs from M5-branes Agarwal, Prarit; Bah, Ibrahima; Maruyoshi, Kazunobu Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)049	journal	March 2015
Infinitely many N = 1 $$ \mathcal{N}=1 $$ dualities from m + 1 − m = 1 Agarwal, Prarit; Intriligator, Kenneth; Song, Jaewon Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)035	journal	October 2015
S-duality and 2d topological QFT Gadde, Abhijit; Pomoni, Elli; Rastelli, Leonardo Journal of High Energy Physics, Vol. 2010, Issue 3 https://doi.org/10.1007/JHEP03(2010)032	journal	March 2010
Four Dimensional Superconformal Index from $q$ -Deformed Two Dimensional Yang-Mills Theory Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S. Physical Review Letters, Vol. 106, Issue 24 https://doi.org/10.1103/PhysRevLett.106.241602	journal	June 2011
Gauge Theories and Macdonald Polynomials Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S. Communications in Mathematical Physics, Vol. 319, Issue 1 https://doi.org/10.1007/s00220-012-1607-8	journal	November 2012
Bootstrapping the superconformal index with surface defects Gaiotto, Davide; Rastelli, Leonardo; Razamat, Shlomo S. Journal of High Energy Physics, Vol. 2013, Issue 1 https://doi.org/10.1007/JHEP01(2013)022	journal	January 2013
2d TQFT structure of the superconformal indices with outer-automorphism twists Mekareeya, Noppadol; Song, Jaewon; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)171	journal	March 2013
The superconformal index of class $ \mathcal{S} $ theories of type D Lemos, Madalena; Peelaers, Wolfger; Rastelli, Leonardo Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)120	journal	May 2014
The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points Beem, Christopher; Gadde, Abhijit Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)036	journal	April 2014
The exact superconformal R-symmetry maximizes a Intriligator, Ken; Wecht, Brian Nuclear Physics B, Vol. 667, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00459-0	journal	September 2003
Correlation functions of conserved currents in calN = 2 superconformal theory Kuzenko, Sergei M.; Theisen, Stefan Classical and Quantum Gravity, Vol. 17, Issue 3 https://doi.org/10.1088/0264-9381/17/3/307	journal	January 2000
NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES Chacaltana, Oscar; Distler, Jacques; Tachikawa, Yuji International Journal of Modern Physics A, Vol. 28, Issue 03n04 https://doi.org/10.1142/S0217751X1340006X	journal	February 2013
Central Charges of Liouville and Toda Theories from $M 5$ -Branes Alday, Luis F.; Tachikawa, Yuji; Benini, Francesco Physical Review Letters, Vol. 105, Issue 14 https://doi.org/10.1103/PhysRevLett.105.141601	journal	September 2010
Central charges of 𝒩 = 2 superconformal field theories in four dimensions Shapere, Alfred D.; Tachikawa, Yuji Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/109	journal	September 2008
Non-abelian tensor-multiplet anomalies Harvey, Jeffrey A.; Minasian, Ruben; Moore, Gregory Journal of High Energy Physics, Vol. 1998, Issue 09 https://doi.org/10.1088/1126-6708/1998/09/004	journal	September 1998
Anomaly matching and a Hopf–Wess–Zumino term in six-dimensional, field theories Intriligator, Kenneth Nuclear Physics B, Vol. 581, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00148-6	journal	August 2000
Central charges and U(1) _R symmetries in Script N = 1 super Yang-Mills Kutasov, David; Parnachev, Andrei; Sahakyan, David A. Journal of High Energy Physics, Vol. 2003, Issue 11 https://doi.org/10.1088/1126-6708/2003/11/013	journal	November 2003
N = 1 $$ \mathcal{N}=1 $$ theories of class S k $$ {\mathcal{S}}_k $$ Gaiotto, Davide; Razamat, Shlomo S. Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)073	journal	July 2015
Geometric engineering, mirror symmetry and 6 d 1 0 → 4 d N = 2 $$ 6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)} $$ Del Zotto, Michele; Vafa, Cumrun; Xie, Dan Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)123	journal	November 2015
(0,4) dualities Putrov, Pavel; Song, Jaewon; Yan, Wenbin Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)185	journal	March 2016
Global Properties of Supersymmetric Theories and the Lens Space Razamat, Shlomo S.; Willett, Brian Communications in Mathematical Physics, Vol. 334, Issue 2 https://doi.org/10.1007/s00220-014-2111-0	journal	July 2014

Cited By (3)

2D CFT blocks for the 4D class S k $$ {\mathcal{S}}_k $$ theories Mitev, Vladimir; Pomoni, Elli Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/jhep08(2017)009	journal	August 2017
2D CFT blocks for the 4D class $\mathcal{S}_k$ theories Mitev, Vladimir; Pomoni, Elli Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-07775	text	January 2017
2D CFT blocks for the 4D class $\mathcal{S}_k$ theories Mitev, Vladimir; Pomoni, Elli arXiv https://doi.org/10.48550/arxiv.1703.00736	text	January 2017

Similar Records

(0,4) dualities

Journal Article · Tue Mar 29 00:00:00 EDT 2016 · Journal of High Energy Physics (Online) · OSTI ID:1361192

Putrov, Pavel; Song, Jaewon; Yan, Wenbin

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:1361192

Agarwal, Prarit; Bah, Ibrahima; Maruyoshi, Kazunobu; +1 more

Twisted circle compactifications of 6d SCFTs

Journal Article · Wed Dec 23 00:00:00 EST 2020 · Journal of High Energy Physics (Online) · OSTI ID:1361192

Bhardwaj, Lakshya; Jefferson, Patrick; Kim, Hee-Cheol; +2 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
anomalies in field and string theories
supersymmetric gauge theory
supersymmetry and duality
M-theory

Title: New dualities and misleading anomaly matchings from outer-automorphism twists

Citation Formats

References (38)

Cited By (3)

Similar Records

Related Subjects