ORA Thesis: "Strominger’s system on non-Kähler hermitian manifolds" - uuid:d3956c4f-c262-4bbf-8451-8dac35f6abef

62 views

Thesis

Links & Downloads

Local copy not available for download in ORA



http://ora.ox.ac.uk/objects/ora:6585

Reference: Hwasung Lee, (2011). Strominger’s system on non-Kähler hermitian manifolds. DPhil. University of Oxford.

Citable link to this page: http://ora.ox.ac.uk/objects/uuid:d3956c4f-c262-4bbf-8451-8dac35f6abef
 
Title: Strominger’s system on non-Kähler hermitian manifolds

Abstract:

In this thesis, we investigate the Strominger system on non-Kähler manifolds.

We will present a natural generalization of the Strominger system for non-Kähler hermitian manifolds M with c₁(M) = 0. These manifolds are more general than balanced hermitian manifolds with holomorphically trivial canonical bundles. We will then consider explicit examples when M can be realized as a principal torus fibration over a Kähler surface S. We will solve the Strominger system on such construction which also includes manifolds of topology (k−1)(S²×S⁴)#k(S³×S³).

We will investigate the anomaly cancellation condition on the principal torus fibration M. The anomaly cancellation condition reduces to a complex Monge-Ampère-type PDE, and we will prove existence of solution following Yau’s proof of the Calabi-conjecture [Yau78], and Fu and Yau’s analysis [FY08].

Finally, we will discuss the physical aspects of our work. We will discuss the Strominger system using α'-expansion and present a solution up to (α')¹-order. In the α'-expansion approach on a principal torus fibration, we will show that solving the anomaly cancellation condition in topology is necessary and sufficient to solving it analytically. We will discuss the potential problems with α'-expansion approach and consider the full Strominger system with the Hull connection. We will show that the ��'-expansion does not correctly capture the behaviour of the solution even up to (α')¹-order and should be used with caution.


Digital Origin:Born digital
Type of Award:DPhil
Level of Award:Doctoral
Awarding Institution: University of Oxford
Notes:This thesis is not currently available via ORA.
About The Authors
institutionUniversity of Oxford
facultyMathematical,Physical & Life Sciences Division - Mathematical Institute
oxfordCollegeOriel College
 
Contributors
Dr Xenia de la Ossa More by this contributor
RoleSupervisor
 
Bibliographic Details
Issue Date: 2011
Copyright Date: 2012
Identifiers
Urn: uuid:d3956c4f-c262-4bbf-8451-8dac35f6abef
Item Description
Type: thesis;
Language: en
Subjects:
Relationships
Member of collection : ora:thesis
Alternate metadata formats
Rights
Copyright Holder: Hwasung Lee
Access Condition: http://creativecommons.org/licenses/by-sa/2.5/
Terms of Use: Click here for our Terms of Use