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Brane transport beyond Calabi-Yau: a tale of geometry and localization
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TitleInfo
Title
Brane transport beyond Calabi-Yau: a tale of geometry and localization
Name (type = personal)
NamePart (type = family)
Clingempeel
NamePart (type = given)
Joel Aaron
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1993-
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Joel Aaron Clingempeel
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author
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Moore
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Gregory
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Gregory Moore
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Advisory Committee
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chair
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Diaconescu
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Emanuel
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Emanuel Diaconescu
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Advisory Committee
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internal member
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Borisov
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Lev
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Lev Borisov
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Advisory Committee
Role
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internal member
Name (type = personal)
NamePart (type = family)
Romo
NamePart (type = given)
Mauricio
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Mauricio Romo
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Advisory Committee
Role
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outside member
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NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
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School of Graduate Studies
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school
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Text
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theses
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2019
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2019-05
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English
Abstract (type = abstract)
The goal of this thesis is to study the behavior of branes preserving B-type supersymmetry in two-dimensional N = (2,2) theories as parameters are varied across the (quantum-corrected) Kähler moduli space. These branes may naturally be organized into a category which is equivalent to the derived category of coherent sheaves on the target geometry. For theories constructed from an abelian gauged linear sigma model, this wall-crossing is studied using the analytic continuation of the hemisphere partition function for which an explicit integral formula is known by work on localization of Hori-Romo. This leads to an understanding of transport functors which exhibit splitting of branes between the Higgs and Coulomb branches, thus going beyond the work of Hori-Herbst-Page in the Calabi-Yau case.
As a case study, explicit brane transport is worked out for Hirzebruch-Jung surfaces, extending the work of Moore-Martinec at the level of K-theory. Furthermore, the hemisphere partition function is evaluated with suitable regularization and shown to match to leading order the known formula for central charge in terms of characteristic classes. This is based on the arXiv hep-th 1811.12385 which was joint with B. Le Floch and M. Romo.
Subject (authority = local)
Topic
String theory
Subject (authority = RUETD)
Topic
Mathematics
Subject (authority = LCSH)
Topic
String models
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Title
Rutgers University Electronic Theses and Dissertations
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ETD_9659
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application/pdf
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1 online resource (vi, 81 pages)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
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School of Graduate Studies Electronic Theses and Dissertations
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rucore10001600001
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NjNbRU
Identifier (type = doi)
doi:10.7282/t3-z7m1-9x28
Genre (authority = ExL-Esploro)
ETD doctoral
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Rights

RightsDeclaration (ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Clingempeel
GivenName
Joel
MiddleName
Aaron
Role
Copyright Holder
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Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2019-04-01 22:22:34
AssociatedEntity
Name
Joel Clingempeel
Role
Copyright holder
Affiliation
Rutgers University. School of Graduate Studies
AssociatedObject
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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.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Technical

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2019-04-01T22:21:19
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2019-04-01T22:21:19
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