Results 11 to 20 of about 47,401 (94)
Pro-Lie Groups: A survey with Open Problems
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.
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T-duality through BV Morphisms and BV Pushforwards in Topological Field Theories [PDF]
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
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Pre-NQ Manifolds and Correspondence Spaces: the Nilmanifold Example
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
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Electric-Magnetic Duality of Topological Gauge Theories from Compactification [PDF]
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
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Operads and moduli spaces of genus $0$ Riemann surfaces
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
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Open-closed field theories, string topology, and Hochschild homology
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
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Surface operators in four-dimensional topological gauge theory and Langlands duality [PDF]
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
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On the normally ordered tensor product and duality for Tate objects
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
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Parabolic Whittaker Functions and Topological Field Theories I
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
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Sheaves and Duality in the Two-Vertex Graph Riemann-Roch Theorem
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
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