Progress in the synthesis of integrabilities arising from gauge-string duality
2014.2.28

Program
3/4(Tue) (L x 3, S x 4)

3/5(Wed) (L x 2, S x 6)

3/6(Thur) (L x 2, S x 7)

3/7(Fri) (L x 1, S x 5)

13:00 - 13:50 [50] Marshakov
Gavrylenko
13:50 - 14:15
Yoshioka
14:15 - 14:40

Yamada9:00 - 9:50 [50]Ito
9:50 - 10:15
Locke
10:15 - 10:40(30 minutes break)Sato
11:10 - 11:35
Suzuki
11:35 - 12:00

Taki
9:00 - 9:50 [50]Asano
9:50 - 10:15
Ohta
10:15 - 10:40(30 minutes break)Okuyama
11:10 - 11:35
Moriyama
11:35 - 12:00(Lunch)Imamura13:30 - 14:55
Honda
13:55 - 14:20
Sugishita
14:20 - 14:45

Sugawara
14:00 - 14:25
Sakai
14:25 - 14:50
Kanayama
14:50 - 15:15
Irie
15:15 - 15:40(30 minutes break )Oota
16:10 - 16:35
16:35 - 17:25 [50] Morozov(25 minutes break)Matsuo
15:05 - 15:55 [50]Nakatsu
15:55 - 16:20(25 minutes break)
16:45 - 17:35 [50] Yoshida
Kawaguchi
17:35 - 18:00

19:30 - 20:20 [50] Komatsu
Yamaguchi
20:20 - 20:45
Kawai
20:45 - 21:10(30 minutes break)
15:15 - 16:05 [50]Mironov

TITLE2014.2.28================================================================
On knot polynomials
Morozov
Knot polynomials: generic structures and equations
Mironov
Marshakov Tau-functions for quiver gauge theories
Gavrylenko Residue formulas for prepotentials, instanton expansions and conformal blocks
ODE/IM correspondence and modified affine Toda field equations: IItoGauge instantons in noncommutative space
NakatsuRemainder function of N=4 SYM and massless TBA
SatoTBA
Oota
Exact Results in Supersymmetric Lattice Gauge Theories
OhtaMoriyama ABJ Matrix Model and Fractional Branes
Integrability of BPS equations in ABJM theory
Sakai
Recent progress on q-deformations of the AdS_5 x S^5 superstring
YoshidaOkuyama Exact results on the ABJ theory
On spectral p-q duality in Yang-Lee minimal string theory
Irie
q-Virasoro algebra and parafermion
Yoshioka
Kawaguchi A Jordanian deformation of AdS space in type IIB supergravity
ODE/IM correspondence and modified affine Toda field equations: IILocke
Kanayama BPS equations in deformed N=4 SYM theory
Three-point functions in N=4 SYM at strong coupling
Komatsu
Quantum Lax pairs for Painlev\'e systems and their solutions
YamadaInstanton partition function, DDAHA and recursion formula
Matsuo5d SCFTs, 5-brane webs and their duality
TakiHiggs branch localization of 3d N=2 theories
Honda
SuzukiExact spectrum of tachyons in AdS/CFT
Schwinger pair production rate in confining theories via holography
Kawai
Yamaguchi Wilson surface and AdS_7/CFT_6 correspondence
Exact results in supersymmetric field theories on manifolds with boundariesSugishita
Emergent bubbling geometries through the localization method
AsanoFactorization of S^3/Z_n partition function
ImamuraSugawara Some Topics on the Modular Completions in SL(2)/U(1) Supercoset Theory

ABSTRACT================================================================
Yamaguchi
Title: Wilson surface and AdS_7/CFT_6 correspondence
Abstract:
We consider the correspondence between M-theory on AdS_7 x S^4 and6d (2,0) theory. We focus on the expectation values of Wilson surfacesof anti-symmetric representations and symmetric representations.
In the M-theory side they correspond to M5-branes wrapping on AdS_3 x S^3.
Recently it have been shown that these expectation values are expressed interms of the Chern-Simons matrix model by localization in 5d maximallysupersymmetric Yang-Mills theory. We use this result and evaluate theexpectation values in the M-theory side and the CFT side, and find the perfect agreement.
-----------------------------------------------------------------------Komatsu
Title: Three-point functions in N=4 SYM at strong coupling
Abstract:
I will explain the integrability-based method to compute three-point
functions in the so-called SU(2)-sector of N=4 SYM at strong coupling.
Owing to the AdS/CFT correspondence, such computation can be performedby evaluating the area of the string worldsheet in $AdS_3 \times S^3$
spacetime plus the boundary terms which originate from the vertex
operators. The resultant expression is unexpectedly similar tothe one obtained in the gauge theory at weak coupling. Time permitting, I
will also mention the application of this method to the classical Liouville field theory.
-----------------------------------------------------------------------Okuyama
Title: Exact results on the ABJ theory
Abstract:
We exactly compute the partition function of ABJ theory on S^3 andstudy instanton effects in the dual M-theory on AdS_4 x S^7/Z_k with discrete torsion.
-----------------------------------------------------------------------Irie
Title: On spectral p-q duality in Yang-Lee minimal string theory
Abstract:
We discuss non-perturbative completions in Yang-Lee minimal string
theory and show how spectral p-q duality acts on them.
-----------------------------------------------------------------------Yamada
Title: Quantum Lax pairs for Painlev\'e systems and their solutions
Abstract:
I will consider some properties of quantum Lax pairs for Painlev\'esystems introduced in arXiv:1206.5963[math-ph]. Two kinds of solutions
for the quantum Lax linear problems: (1) integral solution (2) series
solutions related to AGT, will be given.

Imamura
Title: Factorization of S^3/Z_n partition function
Abstract:
We investigate S^3/Z_n partition function of 3d N = 2 supersymmetric field
theories. In a gauge theory the partition function is the sum of thecontributions of sectors specified by holonomies, and we should carefully
choose the relative signs among the contributions. We argue that thefactorization to holomorphic blocks is a useful criterion to determine thesigns and propose a formula for them.
-----------------------------------------------------------------------Sakai
Title: Integrability of BPS equations in ABJM theory
Abstract:I will discuss BPS equations which determine the configuration ofa bound state of M2-branes and M5-branes preserving half of thesupersymmetries in Aharony-Bergman-Jafferis-Maldacena (ABJM) theory.
Recently we found that the BPS equations are classically integrable,
showing that they admit a Lax representation. In this talk, I will
explain the integrable structure of the BPS equations and how toconstruct solutions by making use of it. (This talk is based on thework arXiv:1308.3583 in collaboration with S. Terashima.)-----------------------------------------------------------------------Suzuki
Title: Exact spectrum of tachyons in AdS/CFT
Abstract:The energy spectrum of open string tachyons in curved spacetimes isless well-understood than in the flat spacetime.
We consider an open string stretching between a giant-graviton D-brane
and its anti-D-brane in AdS_5xS^5, and study its spectrum using integrability methods
and perturbative calculation in N=4 SYM.
By solving the boundary thermodynamic Bethe ansatz (BTBA) equations,
we find an indication that states of N=4 SYM turn into tachyonic at finite couplingwhere the total energy of the corresponding string becomes zero.
-----------------------------------------------------------------------Nakatsu
Title:
Gauge instantons in noncommutative space
Abstract:
The Atiyah-Drinfel-Hitchin-Manin (ADHM) construction of gauge instantons innoncommutative space (NC space),
together with the inverse construction, is exploited by further inventing
their operator formulationand its regularization on the Fock spaces. Thereby, equivalence of the two
descriptions of the moduli spaceof NC instantons is shown. Application to related topics is also discussed.
This is based on the work with Masashi Hamanaka.