CORE
🇺🇦Â
 make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
research
Wilson Loops and Chiral Correlators on Squashed Sphere
Authors
F. Fucito
J. F. Morales
R. Poghossian
Publication date
1 January 2015
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
View
on
arXiv
Abstract
We study chiral deformations of
N
=
2
{\cal N}=2
N
=
2
and
N
=
4
{\cal N}=4
N
=
4
supersymmetric gauge theories obtained by turning on
Ï„
J
 
t
r
 
Φ
J
\tau_J \,{\rm tr} \, \Phi^J
Ï„
J
​
tr
Φ
J
interactions with
Φ
\Phi
Φ
the
N
=
2
{\cal N}=2
N
=
2
superfield. Using localization, we compute the deformed gauge theory partition function
Z
(
Ï„
⃗
∣
q
)
Z(\vec\tau|q)
Z
(
Ï„
∣
q
)
and the expectation value of circular Wilson loops
W
W
W
on a squashed four-sphere. In the case of the deformed
N
=
4
{\cal N}=4
N
=
4
theory, exact formulas for
Z
Z
Z
and
W
W
W
are derived in terms of an underlying
U
(
N
)
U(N)
U
(
N
)
interacting matrix model replacing the free Gaussian model describing the
N
=
4
{\cal N}=4
N
=
4
theory. Using the AGT correspondence, the
Ï„
J
\tau_J
Ï„
J
​
-deformations are related to the insertions of commuting integrals of motion in the four-point CFT correlator and chiral correlators are expressed as
Ï„
\tau
Ï„
-derivatives of the gauge theory partition function on a finite
Ω
\Omega
Ω
-background. In the so called Nekrasov-Shatashvili limit, the entire ring of chiral relations is extracted from the
ϵ
\epsilon
ϵ
-deformed Seiberg-Witten curve. As a byproduct of our analysis we show that
S
U
(
2
)
SU(2)
S
U
(
2
)
gauge theories on rational
Ω
\Omega
Ω
-backgrounds are dual to CFT minimal models.Comment: 33 pages, 2 figure, in this version we have added two new references and a detailed comparison with the results obtained in one of these tw
Similar works
Full text
Open in the Core reader
Download PDF
Available Versions
Springer - Publisher Connector
See this paper in CORE
Go to the repository landing page
Download from data provider
Last time updated on 05/06/2019
Springer - Publisher Connector
See this paper in CORE
Go to the repository landing page
Download from data provider
Last time updated on 29/04/2017