Results 11 to 20 of about 47,401 (94)

Pro-Lie Groups: A survey with Open Problems

open access: yes, 2015
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Hofmann, Karl H., Morris, Sidney A.
core   +2 more sources

T-duality through BV Morphisms and BV Pushforwards in Topological Field Theories [PDF]

open access: yes, 2013
We introduce the concept of duality between quantum field theories in the Batalin-Vilkovisky formalism, which is interpreted either as a BV morphism, the result of dual BV pushforwards or a combination of both.
Barmaz, Yves
core  

Pre-NQ Manifolds and Correspondence Spaces: the Nilmanifold Example

open access: yes, 2019
Courant algebroids correspond to degree-2 symplectic differential graded manifolds or NQ-manifolds for short. We review how a similar construction shows that locally the gauge structure of Double Field Theory corresponds to degree-2 symplectic pre-NQ ...
Deser, Andreas
core   +1 more source

Electric-Magnetic Duality of Topological Gauge Theories from Compactification [PDF]

open access: yes, 2013
In this note, we discuss electric-magnetic duality between a pair of 4d topological field theories (TQFTs) by considering their compactifications to 2 dimensions.
Thorngren, Ryan
core  

Operads and moduli spaces of genus $0$ Riemann surfaces

open access: yes, 1994
We study a pair of dual operads which arise in the study of moduli spaces of pointed genus 0 curves (this duality is similar to that between commutative and Lie algebras).
Getzler, Ezra
core   +3 more sources

Open-closed field theories, string topology, and Hochschild homology

open access: yes, 2009
In this expository paper we discuss a project regarding the string topology of a manifold, that was inspired by recent work of Moore-Segal, Costello, and Hopkins and Lurie, on "open-closed topological conformal field theories".
Blumberg, Andrew J.   +2 more
core   +2 more sources

Surface operators in four-dimensional topological gauge theory and Langlands duality [PDF]

open access: yes, 2010
We study surface and line operators in the GL-twisted N=4 gauge theory in four dimensions. Their properties depend on the parameter t which determines the BRST operator of theory.
Kapustin, Anton   +2 more
core   +1 more source

On the normally ordered tensor product and duality for Tate objects

open access: yes, 2017
This paper generalizes the normally ordered tensor product from Tate vector spaces to Tate objects over arbitrary exact categories. We show how to lift bi-right exact monoidal structures, duality functors, and construct external Homs.
Braunling, Oliver   +3 more
core  

Parabolic Whittaker Functions and Topological Field Theories I

open access: yes, 2010
First, we define a generalization of the standard quantum Toda chain inspired by a construction of quantum cohomology of partial flags spaces GL(\ell+1)/P, P a parabolic subgroup. Common eigenfunctions of the parabolic quantum Toda chains are generalized
Gerasimov, Anton   +2 more
core   +1 more source

Sheaves and Duality in the Two-Vertex Graph Riemann-Roch Theorem

open access: yes, 2017
For each graph on two vertices, and each divisor on the graph in the sense of Baker-Norine, we describe a sheaf of vector spaces on a finite category whose zeroth Betti number is the Baker-Norine "Graph Riemann-Roch" rank of the divisor plus one.
Folinsbee, Nicolas, Friedman, Joel
core  

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