Gauge Theories and Macdonald Polynomials - INSPIRE

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Gauge Theories and Macdonald Polynomials

Abhijit Gadde
(
- YITP, Stony Brook and
- Caltech
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)
,
Shlomo S. Razamat
(
- YITP, Stony Brook and
- Princeton, Inst. Advanced Study
)
,
Wenbin Yan
(
- YITP, Stony Brook
)

Oct, 2011

56 pages

Published in:

Commun.Math.Phys. 319 (2013) 147-193

e-Print:

1110.3740 [hep-th]

DOI:

10.1007/s00220-012-1607-8

Report number:

YITP-SB-11-30

View in:

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Abstract: (Springer)

We study the four-dimensional superconformal index in various interesting limits, such that only states annihilated by more than one supercharge contribute. Extrapolating from the SU(2) generalized quivers, which have a Lagrangian description, we conjecture explicit formulae for all A-type quivers of class , which in general do not have one. We test our proposals against several expected dualities. The index can always be interpreted as a correlator in a two-dimensional topological theory, which we identify in each limit as a certain deformation of two-dimensional Yang-Mills theory. The structure constants of the topological algebra are diagonal in the basis of Macdonald polynomials of the holonomies.

Note:

57 pages, 6 figures; v2: references added and minor improvements; v3: typos corrected

SCFT
TQFT
S-duality
gauge field theory: Yang-Mills
supersymmetry: conformal
quiver
correlation function
supercharge
deformation
holonomy

References(79)

Figures(10)

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•
e-Print:
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•
DOI:
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N=2 dualities

Davide Gaiotto
(
- Princeton, Inst. Advanced Study
)

- JHEP 08 (2012) 034
•
e-Print:
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•
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•
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Sergio Cecotti
(
- SISSA, Trieste
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- Surveys in differential geometry 18 (2013)
•
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R-Twisting and 4d/2d Correspondences

Sergio Cecotti
(
- SISSA, Trieste
)
,
Andrew Neitzke
(
- Texas U., Math Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

e-Print:
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BPS Quivers and Spectra of Complete N=2 Quantum Field Theories

Murad Alim
(
- Harvard U., Phys. Dept.
)
,
Sergio Cecotti
(
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)
,
Clay Cordova
(
- Harvard U., Phys. Dept.
)
,
Sam Espahbodi
(
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)
,
Ashwin Rastogi
(
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)

et al.

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•
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(
- SUNY, Stony Brook, Math.
)
,
Christopher Beem
(
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)
,
Nikolay Bobev
(
- SUNY, Stony Brook
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)

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•
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•
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Niclas Wyllard
(
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)

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•
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A. Mironov
(
- Lebedev Inst. and
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)
,
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(
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)

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Vasily Pestun
(
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)

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•
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Justin Kinney
(
- Princeton U.
)
,
Juan Martin Maldacena
(
- Princeton, Inst. Advanced Study
)
,
Shiraz Minwalla
(
- Tata Inst. and
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)
,
Suvrat Raju
(
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)

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•
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Christian Romelsberger
(
- Perimeter Inst. Theor. Phys.
)

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•
e-Print:
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•
DOI:
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S-duality and 2d Topological QFT

Abhijit Gadde
(
- YITP, Stony Brook
)
,
Elli Pomoni
(
- YITP, Stony Brook
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)
,
Shlomo S. Razamat
(
- YITP, Stony Brook
)

- JHEP 03 (2010) 032
•
e-Print:
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•
DOI:
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The Superconformal Index of the $E_{6}$ SCFT

Abhijit Gadde
(
- YITP, Stony Brook
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)
,
Shlomo S. Razamat
(
- YITP, Stony Brook
)
,
Wenbin Yan
(
- YITP, Stony Brook
)

- JHEP 08 (2010) 107
•
e-Print:
- 1003.4244
•
DOI:
- 10.1007/JHEP08(2010)107

The 4d Superconformal Index from q-deformed 2d Yang-Mills

Abhijit Gadde
(
- YITP, Stony Brook
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)
,
Shlomo S. Razamat
(
- YITP, Stony Brook
)
,
Wenbin Yan
(
- YITP, Stony Brook
)

- Phys.Rev.Lett. 106 (2011) 241602
•
e-Print:
- 1104.3850
•
DOI:
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Calculating the Superconformal Index and Seiberg Duality

Christian Romelsberger
(
- Dublin Inst.
)

e-Print:
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Rigid Supersymmetric Theories in Curved Superspace

- JHEP 06 (2011) 114
•
e-Print:
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•
DOI:
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Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories

F.A. Dolan
(
- Dublin Inst. and
- Southampton U.
)
,
H. Osborn
(
- Cambridge U., DAMTP
)

- Nucl.Phys.B 818 (2009) 137-178
•
e-Print:
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•
DOI:
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V.P. Spiridonov
(
- Dubna, JINR
)
,
G.S. Vartanov
(
- Dubna, JINR
)

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•
e-Print:
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•
DOI:
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Elliptic Hypergeometry of Supersymmetric Dualities

V.P. Spiridonov
(
- Dubna, JINR and
- Moscow, INR
)
,
G.S. Vartanov
(
- Potsdam, Max Planck Inst.
)

- Commun.Math.Phys. 304 (2011) 797-874
•
e-Print:
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•
DOI:
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Supersymmetric dualities beyond the conformal window

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•
e-Print:
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•
DOI:
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On the Superconformal Index of N=1 IR Fixed Points: A Holographic Check

Abhijit Gadde
(
- YITP, Stony Brook
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)
,
Shlomo S. Razamat
(
- YITP, Stony Brook
)
,
Wenbin Yan
(
- YITP, Stony Brook
)

- JHEP 03 (2011) 041
•
e-Print:
- 1011.5278
•
DOI:
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On the ISS model of dynamical SUSY breaking

G.S. Vartanov
(
- Potsdam, Max Planck Inst.
)

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•
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•
DOI:
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