$\mathcal{N}=2$ gauge theories on unoriented/open four-manifolds and their AGT counterparts

Bawane, Aditya; Benvenuti, Sergio; Bonelli, Giulio; Nouman Muteeb; Tanzini, Alessandro

doi:10.1007/JHEP07(2019)040

$\mathcal{N}=2$ gauge theories on unoriented/open four-manifolds and their AGT counterparts

Aditya Bawane
(
- SISSA, Trieste and
- Indian Inst. Tech., Madras and
- INFN, Trieste
)
,
Sergio Benvenuti
(
- INFN, Trieste and
- SISSA, Trieste
)
,
Giulio Bonelli
(
- INFN, Trieste and
- SISSA, Trieste
)
,
Nouman Muteeb
(
- ICTP, Trieste
)
,
Alessandro Tanzini
(
- INFN, Trieste and
- SISSA, Trieste
)

Oct 17, 2017

55 pages

Published in:

JHEP 07 (2019) 040

Published: Jul 8, 2019

e-Print:

1710.06283 [hep-th]

DOI:

10.1007/JHEP07(2019)040

View in:

reference search12 citations

Citations per year

Abstract: (Springer)

We compute the exact path integral of

\mathcal{N} = 2

supersymmetric gauge theories with general gauge group on ℝℙ

^{4}

and a ℤ

_{2}

-quotient of the hemi-S

^{4}

. By specializing to SU(2) superconformal quivers, we show that these, together with hemi-S

^{4}

partition functions, compute Liouville correlators on unoriented/open Riemann surfaces. We perform explicit checks for Riemann surfaces obtained as ℤ

_{2}

quotients of the sphere and the torus. We also discuss the coupled 3d−4d systems associated to Liouville amplitudes with boundary punctures.

Supersymmetric Gauge Theory
Duality in Gauge Field Theories
Supersymmetry and Duality
gauge field theory: supersymmetry
Riemann surface
Liouville
correlation function
partition function
path integral
supersymmetry: conformal

References(41)

Figures(10)

Seiberg-Witten prepotential from instanton counting

Nikita A. Nekrasov
(
- IHES, Bures-sur-Yvette
)

- Adv.Theor.Math.Phys. 7 (2003) 5, 831-864
•
e-Print:
- hep-th/0206161
•
DOI:
- 10.4310/ATMP.2003.v7.n5.a4

Localization techniques in quantum field theories

et al.

- J.Phys.A 50 (2017) 44, 440301
•
e-Print:
- 1608.02952
•
DOI:
- 10.1088/1751-8121/aa63c1

$N = 2$ gauge theories on the hemisphere $HS^4$

Edi Gava
(
- ICTP, Trieste and
- INFN, Trieste
)
,
K.S. Narain
(
- ICTP, Trieste
)
,
M.Nouman Muteeb
(
- ICTP, Trieste
)
,
V.I. Giraldo-Rivera
(
- ICTP, Trieste
)

- Nucl.Phys.B 920 (2017) 256-297
•
e-Print:
- 1611.04804
•
DOI:
- 10.1016/j.nuclphysb.2017.04.007

Liouville Correlation Functions from Four-dimensional Gauge Theories

- Lett.Math.Phys. 91 (2010) 167-197
•
e-Print:
- 0906.3219
•
DOI:
- 10.1007/s11005-010-0369-5

N=2 dualities

Davide Gaiotto
(
- Princeton, Inst. Advanced Study
)

- JHEP 08 (2012) 034
•
e-Print:
- 0904.2715
•
DOI:
- 10.1007/JHEP08(2012)034

Solutions of four-dimensional field theories via M-theory

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- ,
- Nucl.Phys.B 500 (1997) 3-42,
•
e-Print:
- hep-th/9703166
•
DOI:
- 10.1201/9781482268737-38

Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories

V. Belavin
(
- Lebedev Inst.
)
,
B. Feigin
(
- Landau ITP, Chernogolovka and
- Higher Sch. of Economics, Moscow
)

- JHEP 07 (2011) 079
•
e-Print:
- 1105.5800
•
DOI:
- 10.1007/JHEP07(2011)079

Central charges of para-Liouville and Toda theories from M-5-branes

- Phys.Rev.D 84 (2011) 046009
•
e-Print:
- 1106.1172
•
DOI:
- 10.1103/PhysRevD.84.046009

Instantons on ALE spaces and Super Liouville Conformal Field Theories

Giulio Bonelli
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Kazunobu Maruyoshi
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Alessandro Tanzini
(
- SISSA, Trieste and
- INFN, Trieste
)

- JHEP 08 (2011) 056
•
e-Print:
- 1106.2505
•
DOI:
- 10.1007/JHEP08(2011)056

Instanton moduli spaces and bases in coset conformal field theory

A.A. Belavin
(
- Landau ITP, Chernogolovka
)
,
M.A. Bershtein
(
- Landau ITP, Chernogolovka and
- Independent U. of Moscow
)
,
B.L. Feigin
(
)
,
A.V. Litvinov
(
- Landau ITP, Chernogolovka and
- Santa Barbara, KITP
)
,
G.M. Tarnopolsky
(
- Landau ITP, Chernogolovka and
- Santa Barbara, KITP
)

- Commun.Math.Phys. 319 (2013) 269-301
•
e-Print:
- 1111.2803
•
DOI:
- 10.1007/s00220-012-1603-z

Gauge Theories on ALE Space and Super Liouville Correlation Functions

Giulio Bonelli
(
- SISSA, Trieste
)
,
Kazunobu Maruyoshi
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Alessandro Tanzini
(
- SISSA, Trieste and
- INFN, Trieste
)

- Lett.Math.Phys. 101 (2012) 103-124
•
e-Print:
- 1107.4609
•
DOI:
- 10.1007/s11005-012-0553-x

Boundary Liouville field theory. 1. Boundary state and boundary two point function

V. Fateev
(
- Montpellier U.
)
,
Alexander B. Zamolodchikov
(
- Rutgers U., Piscataway and
- Landau Inst.
)
,
Alexei B. Zamolodchikov
(
- Montpellier U.
)

e-Print:
- hep-th/0001012

Remarks on Liouville theory with boundary

J. Teschner
(
- Freie U., Berlin
)

- PoS tmr2000 (2000) 041
•
e-Print:
- hep-th/0009138
•
DOI:
- 10.22323/1.006.0041

Liouville field theory on a pseudosphere

•
e-Print:
- hep-th/0101152

AGT/ $\mathbb{Z}_2$

Bruno Le Floch
(
- Princeton U., CTP
)
,
Gustavo J. Turiaci
(
- Princeton U.
)

- JHEP 12 (2017) 099
•
e-Print:
- 1708.04631
•
DOI:
- 10.1007/JHEP12(2017)099

All solutions of the localization equations for N=2 quantum black hole entropy

- JHEP 02 (2013) 141
•
e-Print:
- 1208.6221
•
DOI:
- 10.1007/JHEP02(2013)141

Seiberg-Witten Theories on Ellipsoids

- JHEP 09 (2012) 033,
- JHEP 10 (2012) 051 (addendum)
•
e-Print:
- 1206.6359
•
DOI:
- 10.1007/JHEP09(2012)033

Extended Supersymmetry on Curved Spaces

Claudius Klare
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)
,
Alberto Zaffaroni
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)

- JHEP 10 (2013) 218
•
e-Print:
- 1308.1102
•
DOI:
- 10.1007/JHEP10(2013)218

$\mathcal{N}=2$ supersymmetric gauge theories on $S^2\times S^2$ and Liouville Gravity

Aditya Bawane
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Giulio Bonelli
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Massimiliano Ronzani
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Alessandro Tanzini
(
- SISSA, Trieste and
- INFN, Trieste
)

- JHEP 07 (2015) 054
•
e-Print:
- 1411.2762
•
DOI:
- 10.1007/JHEP07(2015)054

Localization of gauge theory on a four-sphere and supersymmetric Wilson loops

Vasily Pestun
(
- Princeton U.
)

- Commun.Math.Phys. 313 (2012) 71-129
•
e-Print:
- 0712.2824
•
DOI:
- 10.1007/s00220-012-1485-0

A Strong coupling test of S duality

- Nucl.Phys.B 431 (1994) 3-77
•
e-Print:
- hep-th/9408074
•
DOI:
- 10.1016/0550-3213(94)90097-3

Multiinstanton calculus and equivariant cohomology

Ugo Bruzzo
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Francesco Fucito
(
- Rome U., Tor Vergata and
- INFN, Rome2
)
,
Jose F. Morales
(
- Utrecht U. and
- Frascati
)
,
Alessandro Tanzini
(
- Paris, LPTHE
)

- JHEP 05 (2003) 054
•
e-Print:
- hep-th/0211108
•
DOI:
- 10.1088/1126-6708/2003/05/054

On the instantons and the hypermultiplet mass of N=2* super Yang-Mills on $S^{4}$

- JHEP 03 (2012) 017
•
e-Print:
- 1004.1222
•
DOI:
- 10.1007/JHEP03(2012)017

[24]

unpublished notes

Y. Tachikawa

Liouville field theory: A Decade after the revolution

Yu Nakayama
(
- Tokyo U.
)

- Int.J.Mod.Phys.A 19 (2004) 2771-2930
•
e-Print:
- hep-th/0402009
•
DOI:
- 10.1142/S0217751X04019500

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N=2\mathcal{N}=2N=2 gauge theories on unoriented/open four-manifolds and their AGT counterparts

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$\mathcal{N}=2$ gauge theories on unoriented/open four-manifolds and their AGT counterparts