Search
Search Results
-
The Weak Graded Lie 2-Algebra of Multiplicative Forms on a Quasi-Poisson Groupoid
We present a construction of weak graded Lie 2-algebras associated with quasi-Poisson groupoids. We also establish a morphism between this weak...
-
A Poisson algebra on the Hida Test functions and a quantization using the Cuntz algebra
In this note, we define one more way of quantization of classical systems. The quantization we consider is an analogue of classical Jordan–Schwinger...
-
Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras
Logarithmic vertex algebras were introduced in our previous paper, motivated by logarithmic conformal field theory (Bakalov and Villarreal in...
-
-
On quantum Poisson-Lie T-duality of WZNW models
We study Poisson-Lie T-duality of the Wess-Zumino-Novikov-Witten (WZNW) models which are obtained from a class of Drinfel’d doubles and its...
-
On Gauge Transformations of Poisson Structures
We discuss various questions in Poisson geometry centered around the notion of gauge transformations associated with 2-forms. The topics in this note...
-
The celestial chiral algebra of self-dual gravity on Eguchi-Hanson space
We consider the twistor description of classical self-dual Einstein gravity in the presence of a defect operator wrap** a certain ℂℙ 1 . The...
-
Lie-Poisson gauge theories and κ-Minkowski electrodynamics
We consider gauge theories on Poisson manifolds emerging as semiclassical approximations of noncommutative spacetime with Lie algebra type...
-
Symplectic groupoids and Poisson electrodynamics
We develop a geometric approach to Poisson electrodynamics, that is, the semi-classical limit of noncommutative U(1) gauge theory. Our framework is...
-
Identities for deformation quantizations of almost Poisson algebras
We propose an algebraic viewpoint of the problem of deformation quantization of the so-called almost Poisson algebras, which are algebras with a...
-
Lie Bialgebras, Poisson Lie Groups, and Dressing Transformations
In this course, we present an elementary introduction, including the proofs of the main theorems, to the theory of Lie bialgebras and Poisson Lie...
-
The BV action of 3D twisted R-Poisson sigma models
We determine the solution to the classical master equation for a 3D topological field theory with Wess-Zumino term and an underlying geometrical...
-
Poisson gauge models and Seiberg-Witten map
The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson...
-
A background-independent algebra in quantum gravity
We propose an algebra of operators along an observer’s worldline as a background-independent algebra in quantum gravity. In that context, it is...
-
Poisson gauge theory
The Poisson gauge algebra is a semi-classical limit of complete non- commutative gauge algebra. In the present work we formulate the Poisson gauge...
-
On the classical integrability of Poisson-Lie T-dual WZW models
We consider the integrability of a two-parameter deformation of the Wess-Zumino-Witten model, previously introduced in relation with Poisson-Lie...