Five-dimensional AGT conjecture and the deformed Virasoro algebra

被引：168

作者：

Awata, Hidetoshi ^{[1
]}

Yamada, Yasuhiko ^{[2
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan

[2] Kobe Univ, Fac Sci, Dept Math, Kobe, Hyogo 6578501, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 01期

关键词：

Quantum Groups; Field Theories in Higher Dimensions; Conformal Field Models in String Theory; Topological Strings; BLOWUP; LIMIT;

D O I：

10.1007/JHEP01(2010)125

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study an analog of the AGT (Alday-Gaiotto-Tachikawa) relation in five dimensions. We conjecture that the instanton partition function of 5D N = 1 pure SU(2) gauge theory coincides with the inner product of the Gaiotto-like state in the deformed Virasoro algebra. In four-dimensional case, a relation between the Gaiotto construction and the theory of Braverman and Etingof is also discussed.

引用

页数：11

共 41 条

[1]

ALDAY LF, ARXIV09090945

[2]

ALDAY LF, ARXIV09063219

[3] Central Charges of Liouville and Toda Theories from M5-Branes [J].

Alday, Luis F. ;

Tachikawa, Yuji ;

Benini, Francesco .

PHYSICAL REVIEW LETTERS, 2010, 105 (14)

[4]

[Anonymous], ARXIV09084052

[5]

[Anonymous], ARXIV09073987

[6]

Awata H, 2005, J HIGH ENERGY PHYS

[7] Quantum W-N algebras and Macdonald polynomials [J].

Awata, H ;

Kubo, H ;

Odake, S ;

Shiraishi, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 179 (02) :401-415

[8]

AWATA H, 2003, P CAN CHIN M THEOR P

[9] REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS [J].

Awata, Hidetoshi ;

Kanno, Hiroaki .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2009, 24 (12) :2253-2306

[10]

BONELLI G, ARXIV09094031

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