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Interfaces in supersymmetric field theories

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TitleInfo
Title
Interfaces in supersymmetric field theories
Name (type = personal)
NamePart (type = family)
Galakhov
NamePart (type = given)
Dmitrii
NamePart (type = date)
1988-
DisplayForm
Dmitrii Galakhov
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Moore
NamePart (type = given)
Gregory Winthrop
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Gregory Winthrop Moore
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Advisory Committee
Role
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chair
Name (type = personal)
NamePart (type = family)
Halkiadakis
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Eva
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Eva Halkiadakis
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Advisory Committee
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internal member
Name (type = personal)
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Diaconescu
NamePart (type = given)
Duiliu Emanuel
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Duiliu Emanuel Diaconescu
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Advisory Committee
Role
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internal member
Name (type = personal)
NamePart (type = family)
Goldstein
NamePart (type = given)
Sheldon
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Sheldon Goldstein
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Advisory Committee
Role
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internal member
Name (type = personal)
NamePart (type = family)
Aganagic
NamePart (type = given)
Mina
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Mina Aganagic
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
OriginInfo
DateCreated (qualifier = exact)
2016
DateOther (qualifier = exact); (type = degree)
2016-10
CopyrightDate (encoding = w3cdtf); (qualifier = exact)
2016
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
Supersymmetry has proven to be a valuable tool in the study of non-perturbative dynamics in quantum eld theory, gravity and string theory. In this thesis we consider supersymmetric interfaces. Interfaces are defects de ned by spatially changing coupling constants. Interfaces can be used to probe the non-perturbative low energy dynamics of an underlying supersymmetric quantum eld theory. We study interfaces in a set of four-dimensional quantum eld theories with N = 2 supersymmetry known as theories of class S. Using these defects we probe the spin content of the spectrum of quantum states saturating the Bogomolnyi-Prasad-Sommerfeld bound. We also apply supersymmetric defects to the construction of knot and link invariants via quantum eld theory. We associate to a knot - presented as a tangle - an interface de ned by a spatially varying superpotential in a 2d supersymmetric Landau-Ginzburg model. We construct explicitly the Hilbert space of ground states on this interface as the cohomology of a nilpotent supercharge and prove that this Hilbert space is bi-graded by integers and is an invariant of the knot (or link). In explicit examples we show that the corresponding Poincar e polynomial coincides with the Poincar e polynomial of the renowned Khovanov homology that categori es the Jones polynomial.
Subject (authority = RUETD)
Topic
Physics and Astronomy
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_7418
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (viii, 146 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Subject (authority = ETD-LCSH)
Topic
Supersymmetry
Note (type = statement of responsibility)
by Dmitrii Galakhov
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T3PC34Q9
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
Galakhov
GivenName
Dmitrii
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2016-05-31 22:54:06
AssociatedEntity
Name
Dmitrii Galakhov
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
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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2016-05-31T22:52:23
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2016-05-31T22:52:23
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