On the Elliptic Genera of Manifolds of Spin(7) Holonomy

被引：11

作者：

Benjamin, Nathan ^{[1
,2
]}

Harrison, Sarah M. ^{[3
]}

Kachru, Shamit ^{[1
,2
]}

Paquette, Natalie M. ^{[1
,2
]}

Whalen, Daniel ^{[1
,2
]}

机构：

[1] Stanford Univ, SITP, Dept Phys, Stanford, CA 94305 USA

[2] Stanford Univ, Theory Grp, SLAC, Stanford, CA 94305 USA

[3] Harvard Univ, Ctr Fundamental Laws Nat, Cambridge, MA 02138 USA

来源：

ANNALES HENRI POINCARE | 2016年 / 17卷 / 10期

关键词：

K3; SURFACES; REPRESENTATIONS; GENUS;

D O I：

10.1007/s00023-015-0454-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Superstring compactification on a manifold of Spin(7) holonomy gives rise to a 2d worldsheet conformal field theory with an extended supersymmetry algebra. The superconformal algebra is extended by additional generators of spins 2 and 5/2, and instead of just superconformal symmetry one has a c = 12 realization of the symmetry group . In this paper, we compute the characters of this supergroup and decompose the elliptic genus of a general Spin(7) compactification in terms of these characters. We find suggestive relations to various sporadic groups, which are made more precise in a companion paper.

引用

页码：2663 / 2697

页数：35

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[9]

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[10]

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