Moonshine and SW(3/2, 2)

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Abstract/Contents

Abstract
Superstring compactification on a manifold of Spin(7) holonomy gives rise to a 2d worldsheet conformal field theory with an extended supersymmetry algebra. Such manifolds have a c=12 realization of the symmetry group SW(3/2, 2). In this thesis, I explore the characters of this algebra, and decompose the elliptic genus of a general Spin(7) compactification in terms of these characters, giving results that are suggestive of a large symmetry group. I make this suggestion manifest by constructing a SCFT that permits an M24, Co2 and Co3, and which has an action by the SW(3/2, 2) algebra.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2016
Issuance monographic
Language English

Creators/Contributors

Associated with Whalen, Daniel
Associated with Stanford University, Department of Physics.
Primary advisor Kachru, Shamit, 1970-
Thesis advisor Kachru, Shamit, 1970-
Thesis advisor Kallosh, Renata
Thesis advisor Silverstein, Eva, 1970-
Advisor Kallosh, Renata
Advisor Silverstein, Eva, 1970-

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Daniel Whalen.
Note Submitted to the Department of Physics.
Thesis Thesis (Ph.D.)--Stanford University, 2016.
Location electronic resource

Access conditions

Copyright
© 2016 by Daniel Whalen
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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