RUcore: Rutgers University Community Repository
Chiral algebras of (0,2) models
Descriptive
TypeOfResource
Text
TitleInfo
(ID = T-1)
Title
Chiral algebras of (0,2) models
SubTitle
PartName
PartNumber
NonSort
Identifier
(displayLabel = );
(invalid = )
ETD_2209
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051924
Language
(objectPart = )
LanguageTerm
(authority = ISO639-2);
(type = code)
eng
Genre
(authority = marcgt)
theses
Subject
(ID = SBJ-1);
(authority = RUETD)
Topic
Physics and Astronomy
Subject
(ID = SBJ-2);
(authority = ETD-LCSH)
Topic
Field theory (Physics)
Subject
(ID = SBJ-3);
(authority = ETD-LCSH)
Topic
Supersymmetry
Subject
(ID = SBJ-4);
(authority = ETD-LCSH)
Topic
Mathematical physics
Abstract
Sigma models with (0,2) supersymmetry in two dimensions possess quasi-topological sectors characterized by chiral algebras. In this thesis, we study these chiral algebras and explore their
nonperturbative aspects.
The chiral algebras of (0,2) models emerge when one considers the cohomology of local operators with respect to one of the supercharges, and provide infinite-dimensional generalizations of the chiral rings of (2,2) models. Perturbatively, they enjoy rich mathematical structures described by sheaves of chiral differential operators.
Nonperturbatively, however, they vanish completely for certain (0,2) models with no left-moving fermions. Examples include the models in which the target spaces are the complete flag manifolds of compact
semisimple Lie groups.
The vanishing of the chiral algebra of a (0,2) model implies that supersymmetry is spontaneously broken in the model, which in turn suggests that no harmonic spinors exist on the loop space of the target space. We analyze this supersymmetry breaking using holomorphic Morse theory on the loop space in the case where the target space is CP(1). As expected, we find that instantons interpolate between pairs of perturbative supersymmetric states, thereby lifting them out of the supersymmetric spectrum.
This thesis is based on the work of the author with Meng-Chwan Tan, reported in the papers arXiv:0801.4782 [hep-th], arXiv:0805.1410 [hep-th], and the Letter Lett. Math. Phys. 84, 257 (2008)
nonperturbative aspects.
The chiral algebras of (0,2) models emerge when one considers the cohomology of local operators with respect to one of the supercharges, and provide infinite-dimensional generalizations of the chiral rings of (2,2) models. Perturbatively, they enjoy rich mathematical structures described by sheaves of chiral differential operators.
Nonperturbatively, however, they vanish completely for certain (0,2) models with no left-moving fermions. Examples include the models in which the target spaces are the complete flag manifolds of compact
semisimple Lie groups.
The vanishing of the chiral algebra of a (0,2) model implies that supersymmetry is spontaneously broken in the model, which in turn suggests that no harmonic spinors exist on the loop space of the target space. We analyze this supersymmetry breaking using holomorphic Morse theory on the loop space in the case where the target space is CP(1). As expected, we find that instantons interpolate between pairs of perturbative supersymmetric states, thereby lifting them out of the supersymmetric spectrum.
This thesis is based on the work of the author with Meng-Chwan Tan, reported in the papers arXiv:0801.4782 [hep-th], arXiv:0805.1410 [hep-th], and the Letter Lett. Math. Phys. 84, 257 (2008)
PhysicalDescription
Form
(authority = gmd)
electronic resource
Extent
vi, 77 p.
InternetMediaType
application/pdf
InternetMediaType
text/xml
Note
(type = degree)
Ph.D.
Note
(type = bibliography)
Includes bibliographical references (p. 74-76)
Note
(type = statement of responsibility)
by Junya Yagi
Name
(ID = NAME-1);
(type = personal)
NamePart
(type = family)
Yagi
NamePart
(type = given)
Junya
Role
RoleTerm
(authority = RULIB);
(type = )
author
DisplayForm
Junya Yagi
Name
(ID = NAME-2);
(type = personal)
NamePart
(type = family)
Moore
NamePart
(type = given)
Gregory
Role
RoleTerm
(authority = RULIB);
(type = )
chair
Affiliation
Advisory Committee
DisplayForm
Gregory W Moore
Name
(ID = NAME-3);
(type = personal)
NamePart
(type = family)
Friedan
NamePart
(type = given)
Daniel
Role
RoleTerm
(authority = RULIB);
(type = )
internal member
Affiliation
Advisory Committee
DisplayForm
Daniel Friedan
Name
(ID = NAME-4);
(type = personal)
NamePart
(type = family)
Strassler
NamePart
(type = given)
Matthew
Role
RoleTerm
(authority = RULIB);
(type = )
internal member
Affiliation
Advisory Committee
DisplayForm
Matthew Strassler
Name
(ID = NAME-5);
(type = personal)
NamePart
(type = family)
Jha
NamePart
(type = given)
Saurabh
Role
RoleTerm
(authority = RULIB);
(type = )
internal member
Affiliation
Advisory Committee
DisplayForm
Saurabh Jha
Name
(ID = NAME-6);
(type = personal)
NamePart
(type = family)
Witten
NamePart
(type = given)
Edward
Role
RoleTerm
(authority = RULIB);
(type = )
outside member
Affiliation
Advisory Committee
DisplayForm
Edward Witten
Name
(ID = NAME-1);
(type = corporate)
NamePart
Rutgers University
Role
RoleTerm
(authority = RULIB);
(type = )
degree grantor
Name
(ID = NAME-2);
(type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm
(authority = RULIB);
(type = )
school
OriginInfo
DateCreated
(point = );
(qualifier = exact)
2009
DateOther
(qualifier = exact);
(type = degree)
2009-10
Place
PlaceTerm
(type = code)
xx
RelatedItem
(type = host)
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
(type = local)
rucore19991600001
Location
PhysicalLocation
(authority = marcorg);
(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier
(type = doi)
doi:10.7282/T35T3KNM
Genre
(authority = ExL-Esploro)
ETD doctoral
Back to the top
Rights
RightsDeclaration
(AUTHORITY = GS);
(ID = rulibRdec0006)
The author owns the copyright to this work
Copyright
Status
Copyright protected
Notice
Note
Availability
Status
Open
Reason
Permission or license
Note
RightsHolder
(ID = PRH-1);
(type = personal)
Name
FamilyName
Yagi
GivenName
Junya
Role
Copyright holder
RightsEvent
(ID = RE-1);
(AUTHORITY = rulib)
Type
Permission or license
Label
Place
DateTime
Detail
AssociatedEntity
(ID = AE-1);
(AUTHORITY = rulib)
Role
Copyright holder
Name
Junya Yagi
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject
(ID = AO-1);
(AUTHORITY = rulib)
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.
Back to the top
Technical
ContentModel
ETD
MimeType
(TYPE = file)
application/pdf
MimeType
(TYPE = container)
application/x-tar
FileSize
(UNIT = bytes)
378880
Checksum
(METHOD = SHA1)
1c7a02250ca66d4e0abb4b1d499bdea388e0fb4c
Back to the top
Statistical Profile