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Trialities of minimally supersymmetric 2d gauge theories

Sergei Gukov
(
- Caltech and
- Bonn, Max Planck Inst., Math.
)
,
Du Pei
(
- Caltech and
- Berkeley, Math. Sci.-Res. Inst.
)
,
Pavel Putrov
(
- ICTP, Trieste
)

Oct 29, 2019

35 pages

Published in:

JHEP 04 (2020) 079

Published: Apr 14, 2020

e-Print:

1910.13455 [hep-th]

DOI:

10.1007/JHEP04(2020)079

View in:

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Abstract: (Springer)

We study dynamics of two-dimensional

\mathcal{N}

= (0, 1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of theories with orthogonal and symplectic gauge groups. The proposal is supported by matching of anomalies and elliptic genera. This triality can be viewed as a (0, 1) counterpart of the (0, 2) triality proposed earlier by two of the authors and A. Gadde. We also describe the relation between global anomalies in gauge theoretic and sigma-model descriptions, filling in a gap in the present literature.

Note:

34 pages, 3 figures

Anomalies in Field and String Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality
Sigma Models
gauge field theory: supersymmetry
dimension: 2
triality
anomaly
sigma model
symplectic

References(47)

Figures(0)

[1]

Phases of N=2 theories in two-dimensions

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 403 (1993) 159-222,
- ,
- AMS/IP Stud.Adv.Math. 1 (1996) 143-211
•
e-Print:
- hep-th/9301042
•
DOI:
- 10.1016/0550-3213(93)90033-L

[2]

A note on some minimally supersymmetric models in two dimensions.

•
e-Print:
- 1902.10249

[3]

Mock modularity and a secondary elliptic genus

- JHEP 08 (2023) 094
•
e-Print:
- 1904.05788
•
DOI:
- 10.1007/JHEP08(2023)094

[4]

(0, 2) trialities

Abhijit Gadde
(
- Caltech
)
,
Sergei Gukov
(
- Caltech and
- Bonn, Max Planck Inst., Math.
)
,
Pavel Putrov
(
- Caltech
)

- JHEP 03 (2014) 076
•
e-Print:
- 1310.0818
•
DOI:
- 10.1007/JHEP03(2014)076

[5]

Exact Solutions of 2d Supersymmetric Gauge Theories

Abhijit Gadde
(
- Caltech and
- Bonn, Max Planck Inst., Math.
)
,
Sergei Gukov
(
- Caltech and
- Bonn, Max Planck Inst., Math.
)
,
Pavel Putrov
(
- Caltech
)

- JHEP 11 (2019) 174
•
e-Print:
- 1404.5314
•
DOI:
- 10.1007/JHEP11(2019)174

[6]

2d Index and Surface operators

Abhijit Gadde
(
- Caltech
)
,
Sergei Gukov
(
- Caltech
)

- JHEP 03 (2014) 080
•
e-Print:
- 1305.0266
•
DOI:
- 10.1007/JHEP03(2014)080

[7]

Elliptic Genera of 2d ${\mathcal{N}}$ = 2 Gauge Theories

Francesco Benini
(
- SUNY, Stony Brook
)
,
Richard Eager
(
- Tokyo U., IPMU
)
,
Kentaro Hori
(
- Tokyo U., IPMU
)
,
Yuji Tachikawa
(
- Tokyo U.
)

- Commun.Math.Phys. 333 (2015) 3, 1241-1286
•
e-Print:
- 1308.4896
•
DOI:
- 10.1007/s00220-014-2210-y

[8]

Exact two-dimensional superconformal R-symmetry and c-extremization

- Phys.Rev.Lett. 110 (2013) 6, 061601
•
e-Print:
- 1211.4030
•
DOI:
- 10.1103/PhysRevLett.110.061601

Elliptic Genera and Quantum Field Theory

Edward Witten
(
- Princeton U.
)

- Commun.Math.Phys. 109 (1987) 525
•
DOI:
- 10.1007/BF01208956

[10]

Mathematical Surveys and Monographs. Vol. 201: Topological modular forms, AMS Press, New York U.S.A

C.L. Douglas
,
J. Francis
,
A.G. Henriques
,
M.A. Hill

[11]

What is an elliptic object?

S. Stolz
,
P. Teichner

- Lond.Math.Soc.Lect.Note Ser. 308 (2004) 247

[12]

Supersymmetric field theories and generalized cohomology, Mathematical foundations of quantum field theory and perturbative string theory 83 377

S. Stolz
,
P. Teichner

DOI:
- 10.1017/CBO9780511721489.016

[14]

Holomorphic SCFTs with small index

- Can.J.Math. 74 (2022) 2, 573-601
•
e-Print:
- 1811.00589
•
DOI:
- 10.4153/S0008414X2100002X

[15]

4-manifolds and topological modular forms

Sergei Gukov
(
- Caltech and
- Bonn, Max Planck Inst., Math.
)
,
Du Pei
(
- Caltech and
- Aarhus U., Math. Sci.
)
,
Pavel Putrov
(
- ICTP, Trieste and
- Princeton, Inst. Advanced Study
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- JHEP 05 (2021) 084
•
e-Print:
- 1811.07884
•
DOI:
- 10.1007/JHEP05(2021)084

[16]

Bosonization and Mirror Symmetry

Shamit Kachru
(
- Stanford U., ITP
)
,
Michael Mulligan
(
- UC, Riverside
)
,
Gonzalo Torroba
(
- Centro Atomico Bariloche
)
,
Huajia Wang
(
- Illinois U., Urbana
)

- Phys.Rev.D 94 (2016) 8, 085009
•
e-Print:
- 1608.05077
•
DOI:
- 10.1103/PhysRevD.94.085009

[17]

Nonsupersymmetric dualities from mirror symmetry

Shamit Kachru
(
- Stanford U., ITP
)
,
Michael Mulligan
(
- Stanford U., ITP and
- UC, Riverside
)
,
Gonzalo Torroba
(
- Centro Atomico Bariloche
)
,
Huajia Wang
(
- Illinois U., Urbana
)

- Phys.Rev.Lett. 118 (2017) 1, 011602
•
e-Print:
- 1609.02149
•
DOI:
- 10.1103/PhysRevLett.118.011602

[18]

Mirror symmetry in three-dimensional gauge theories

- Phys.Lett.B 387 (1996) 513-519
•
e-Print:
- hep-th/9607207
•
DOI:
- 10.1016/0370-2693(96)01088-X

[19]

Aspects of N=2 supersymmetric gauge theories in three-dimensions

- Nucl.Phys.B 499 (1997) 67-99
•
e-Print:
- hep-th/9703110
•
DOI:
- 10.1016/S0550-3213(97)00323-4

[20]

Particle-Vortex Duality from 3d Bosonization

Andreas Karch
(
- Washington U., Seattle
)
,
David Tong
(
- Stanford U., ITP and
- Cambridge U., DAMTP
)

- Phys.Rev.X 6 (2016) 3, 031043
•
e-Print:
- 1606.01893
•
DOI:
- 10.1103/PhysRevX.6.031043

[21]

A Duality Web in 2+1 Dimensions and Condensed Matter Physics

- Annals Phys. 374 (2016) 395-433
•
e-Print:
- 1606.01989
•
DOI:
- 10.1016/j.aop.2016.08.007

[22]

Particle-vortex duality in topological insulators and superconductors

- JHEP 05 (2017) 159
•
e-Print:
- 1606.01912
•
DOI:
- 10.1007/JHEP05(2017)159

$N=1$ /2 Supersymmetry in Two-dimensions

Makoto Sakamoto
(
- Kyushu U.
)

- Phys.Lett.B 151 (1985) 115-118
•
DOI:
- 10.1016/0370-2693(85)91396-6

Supersymmetric Sigma Models and the Heterotic String

C.M. Hull
(
- MIT
)
,
Edward Witten
(
- Princeton U.
)

- Phys.Lett.B 160 (1985) 398-402,
•
DOI:
- 10.1016/0370-2693(85)90008-5

Unidexterous D=2 Supersymmetry in Superspace

- Nucl.Phys.B 268 (1986) 599-620,
- Nucl. Phys. B268 ( 1986) 599-620
•
DOI:
- 10.1016/0550-3213(86)90261-0

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