F-theory and the classification of little strings

被引：95

作者：

Bhardwaj, Lakshya ^{[1
]}

Del Zotto, Michele ^{[2
]}

Heckman, Jonathan J. ^{[3
,4
,5
]}

Morrison, David R. ^{[6
,7
]}

Rudelius, Tom ^{[2
]}

Vafa, Cumrun ^{[2
]}

机构：

[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

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

[3] Univ N Carolina, Dept Phys, Chapel Hill, NC 27599 USA

[4] Columbia Univ, Dept Phys, 538 W 120th St, New York, NY 10027 USA

[5] CUNY, Grad Ctr, Initiat Theoret Sci, New York, NY 10016 USA

[6] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[7] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA

来源：

PHYSICAL REVIEW D | 2016年 / 93卷 / 08期

基金：

美国国家科学基金会;

关键词：

POINT-LIKE INSTANTONS; K3; SURFACES; CURVES; LIMITS;

D O I：

10.1103/PhysRevD.93.086002

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Little string theories (LSTs) are UV complete nonlocal six-dimensional (6D) theories decoupled from gravity in which there is an intrinsic string scale. In this paper, we present a systematic approach to the construction of supersymmetric LSTs via the geometric phases of F-theory. Our central result is that all LSTs with more than one tensor multiplet are obtained by a mild extension of 6D superconformal field theories in which the theory is supplemented by an additional, nondynamical tensor multiplet, analogous to adding an affine node to an ADE quiver, resulting in a negative semidefinite Dirac pairing. We also show that all 6D superconformal field theories naturally embed in a LST. Motivated by physical considerations, we show that in geometries where we can verify the presence of two elliptic fibrations, exchanging the roles of these fibrations amounts to T-duality in the 6D theory compactified on a circle.

引用

页数：37