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BPS states in string theory
Descriptive
TypeOfResource
Text
TitleInfo
(ID = T-1)
Title
BPS states in string theory
Identifier
ETD_2446
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056148
Language
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eng
Genre
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theses
Subject
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Topic
Physics and Astronomy
Subject
(ID = SBJ-2);
(authority = ETD-LCSH)
Topic
String models
Subject
(ID = SBJ-3);
(authority = ETD-LCSH)
Topic
Symmetry (Physics)
Abstract
(type = abstract)
In this thesis we discuss a number of interesting and important properties of BPS states in string theory. We study wall-crossing behavior of BPS states at large volume limit and implications of it for the OSV conjecture. We find that the weak topological coupling OSV conjecture can be true at most in a special chamber of the K"ahler cone. We also clarify an interesting puzzle arising in the description of BPS states on the Higgs branch of supersymmetic quantum mechanics. Using methods of toric geometry we compute Hilbert spaces of BPS states on the compactified Higgs branch and arrive at completely consistent picture of spatial $Spin(3)$ structure of those spaces. We introduce new kinds of walls, called Bound State Transformation(BST) walls, in the moduli space across which the nature of BPS bound states changes but the index remains continuous. These walls are necessary to explain the continuity of BPS index. BPS states can undergo recombination, conjugation or hybrids of the two when crossing a BST wall. Conjugation phenomenon happens near singularities in the moduli space and we relate massless spectra of BPS states at such singularities to monodromies around them. In cases when massless vector BPS particles are present we find new constraints on the spectrum and in particular predict the existence of magnetic monopoles becoming massless at such singularities. We give a simple physical derivation of the Kontsevich-Soibelman wall-crossing formula. Considering galaxy-like configurations of BPS particles with a central supermassive black hole with a number of stellar BPS systems around it we derive a consistency requirement on the partition function of such BPS galaxies. This requirement turns out to be nothing but Kontsevich-Soibelman wall-crossing formula. Our approach gives a generalization of the formula for the case when massless BPS particles are present.
PhysicalDescription
Form
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electronic resource
Extent
x, 161 p. : ill.
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application/pdf
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text/xml
Note
(type = degree)
Ph.D.
Note
(type = bibliography)
Includes bibliographical references
Note
(type = vita)
Includes vita
Note
(type = statement of responsibility)
by Evgeny Andriyash
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Andriyash
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Evgeny
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1980-
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author
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Evgeny Andriyash
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NamePart
(type = family)
Moore
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(type = given)
Gregory
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chair
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Advisory Committee
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Gregory Moore
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NamePart
(type = family)
Friedan
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Daniel
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internal member
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Advisory Committee
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Daniel Friedan
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NamePart
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Jha
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Saurabh
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internal member
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Advisory Committee
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Saurabh Jha
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NamePart
(type = family)
Shapiro
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Joel
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internal member
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Advisory Committee
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Joel Shapiro
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Denef
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Frederik
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outside member
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Advisory Committee
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Frederik Denef
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NamePart
Rutgers University
Role
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degree grantor
Name
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NamePart
Graduate School - New Brunswick
Role
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school
OriginInfo
DateCreated
(qualifier = exact)
2010
DateOther
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(type = degree)
2010-10
Place
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(type = code)
xx
RelatedItem
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TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
(type = RULIB)
ETD
RelatedItem
(type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
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rucore19991600001
Location
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NjNbRU
Identifier
(type = doi)
doi:10.7282/T3NG4QCZ
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
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(ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsHolder
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Name
FamilyName
Andriyash
GivenName
Evgeny
Role
Copyright Holder
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Type
Permission or license
DateTime
2010-09-28 15:55:36
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Name
Evgeny Andriyash
Affiliation
Rutgers University. Graduate School - New Brunswick
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License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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Technical
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ETD
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application/pdf
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application/x-tar
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1474560
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