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Uppsala University

1.
Söderberg, Alexander.
Anomalous Dimensions in the WF O(*N*) Model with a Monodromy Line Defect.

Degree: Theoretical Physics, 2017, Uppsala University

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-317546

General ideas in the conformal bootstrap program are covered. Both numerical and analytical approaches to the bootstrap equation are reviewed to show how it can be manipulated in different ways. Further analytical approaches are studied for theories with defects. We consider the three-dimensional CFT at the corresponding WF fixed point in the O(N) φ^{4} model with a co-dimension two, monodromy defect. Anomalous dimensions for bulk- and defect-local fields as well as one of the OPE coefficients are found to the first loop order. Implications of inserting this defect and constraints that arises from symmetries of the theory are investigated.

Subjects/Keywords: Anomalous Dimensions; WF; O(N) Model; phi^4 theory; Monodromy Line Defect; Co-Dimension Two; 3 Dimensions; CFT; 3D; Dimensional; Conformal Field Theory; Quantum Field Theory; QFT; Other Physics Topics; Annan fysik

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APA (6^{th} Edition):

Söderberg, A. (2017). Anomalous Dimensions in the WF O(N) Model with a Monodromy Line Defect. (Thesis). Uppsala University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-317546

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Söderberg, Alexander. “Anomalous Dimensions in the WF O(N) Model with a Monodromy Line Defect.” 2017. Thesis, Uppsala University. Accessed January 16, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-317546.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Söderberg, Alexander. “Anomalous Dimensions in the WF O(N) Model with a Monodromy Line Defect.” 2017. Web. 16 Jan 2021.

Vancouver:

Söderberg A. Anomalous Dimensions in the WF O(N) Model with a Monodromy Line Defect. [Internet] [Thesis]. Uppsala University; 2017. [cited 2021 Jan 16]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-317546.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Söderberg A. Anomalous Dimensions in the WF O(N) Model with a Monodromy Line Defect. [Thesis]. Uppsala University; 2017. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-317546

Not specified: Masters Thesis or Doctoral Dissertation

2. Hilburn, Justin. GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O.

Degree: PhD, Department of Mathematics, 2016, University of Oregon

URL: http://hdl.handle.net/1794/20456

In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Kapranov-Zelevinsky hypergeometric systems. This proves the abelian case of a conjecture of Bullimore, Gaiotto, Dimofte, and Hilburn on the behavior of generic Dirichlet boundary conditions in 3d N=4 SUSY gauge theories.
*Advisors/Committee Members: Proudfoot, Nicholas (advisor).*

Subjects/Keywords: 3d N=4; Boundary condition; Category O; Hypertoric; Symplectic duality; Symplectic resolution

…space of vacua in *3d* *N* = *4* SUSY gauge theories. Therefore it is expected
that the mathematical… …succeeded in giving
a mathematical definition of the Coulomb branch for *3d* *N* = *4* theories. A… …that a half-BPS boundary condition in a *3d* *N* = *4* theory gives rise
to a pair of deformation… …branch of an abelian *3d* *N* = *4* theory given
in [7, 5, *4*]. Recall that the F -action… …Gaiotto, and showed a boundary condition in
an abelian *3d* *N* = *4* gauge theories give rise to a…

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hilburn, J. (2016). GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O. (Doctoral Dissertation). University of Oregon. Retrieved from http://hdl.handle.net/1794/20456

Chicago Manual of Style (16^{th} Edition):

Hilburn, Justin. “GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O.” 2016. Doctoral Dissertation, University of Oregon. Accessed January 16, 2021. http://hdl.handle.net/1794/20456.

MLA Handbook (7^{th} Edition):

Hilburn, Justin. “GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O.” 2016. Web. 16 Jan 2021.

Vancouver:

Hilburn J. GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O. [Internet] [Doctoral dissertation]. University of Oregon; 2016. [cited 2021 Jan 16]. Available from: http://hdl.handle.net/1794/20456.

Council of Science Editors:

Hilburn J. GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O. [Doctoral Dissertation]. University of Oregon; 2016. Available from: http://hdl.handle.net/1794/20456