An M-theory flop as a large N duality

被引：142

作者：

Atiyah, M ^{[1
]}

Maldacena, J

Vafa, C

机构：

[1] Univ Edinburgh, Dept Math, Edinburgh EH9 3JZ, Midlothian, Scotland

[2] Inst Adv Study, Princeton, NJ 08540 USA

[3] Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2001年 / 42卷 / 07期

关键词：

D O I：

10.1063/1.1376159

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show how a recently proposed large N duality in the context of type IIA strings with N=1 supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA strings in M-theory. The phase structure of M-theory on G(2) holonomy manifolds and an S-3 flop are the key ingredients in this derivation. (C) 2001 American Institute of Physics.

引用

页码：3209 / 3220

页数：12

共 12 条

[1]

ACHARYA BS, HEPTH0011089

[2] Large N field theories, string theory and gravity [J].

Aharony, O ;

Gubser, SS ;

Maldacena, J ;

Ooguri, H ;

Oz, Y .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4) :183-386

[3] MULTIPLE MIRROR MANIFOLDS AND TOPOLOGY CHANGE IN STRING THEORY [J].

ASPINWALL, PS ;

GREENE, BR ;

MORRISON, DR .

PHYSICS LETTERS B, 1993, 303 (3-4) :249-259

[4] ON THE CONSTRUCTION OF SOME COMPLETE METRICS WITH EXCEPTIONAL HOLONOMY [J].

BRYANT, RL ;

SALAMON, SM .

DUKE MATHEMATICAL JOURNAL, 1989, 58 (03) :829-850

[5] EINSTEIN-METRICS ON S3-BUNDLE, R3-BUNDLE AND R4-BUNDLE [J].

GIBBONS, GW ;

PAGE, DN ;

POPE, CN .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 127 (03) :529-553

[6]

GOPAKUMAR R, 1999, ADV THEOR MATH PHYS, V5, P413

[7] Supergravity and the large N limit of theories with sixteen supercharges [J].

Itzhaki, N ;

Maldacena, JM ;

Sonnenschein, J ;

Yankielowicz, S .

PHYSICAL REVIEW D, 1998, 58 (04) :11

[8]

Joyce DD, 1996, J DIFFER GEOM, V43, P291

[9] Summing up Dirichlet instantons [J].

Ooguri, H ;

Vafa, C .

PHYSICAL REVIEW LETTERS, 1996, 77 (16) :3296-3298

[10]

PARTOUCHE H, HEPTH0011130

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