An Introduction to the Poisson Sigma Model

10.1142/12597 ◽  
2022 ◽  
Author(s):  
Ivan Contreras
Keyword(s):  
Sigma Model ◽  
Poisson Sigma Model

scholarly journals Poisson Sigma Model and Semiclassical Quantization of Integrable Systems

2018 ◽  
Vol 30 (06) ◽  
pp. 1840004 ◽  
Author(s):  
Alberto S. Cattaneo ◽  
Pavel Mnev ◽  
Nicolai Reshetikhin
Keyword(s):  
Phase Space ◽  
Power Series ◽  
Path Integral ◽  
Integrable Systems ◽  
Sigma Model ◽  
Star Product ◽  
Feynman Diagrams ◽  
Target Space ◽  
Poisson Sigma Model ◽  
Formal Power

In this paper, we outline the construction of semiclassical eigenfunctions of integrable models in terms of the semiclassical path integral for the Poisson sigma model with the target space being the phase space of the integrable system. The semiclassical path integral is defined as a formal power series with coefficients being Feynman diagrams. We also argue that in a similar way one can obtain irreducible semiclassical representations of Kontsevich’s star product. Dedicated to the memory of L. D. Faddeev

scholarly journals The Lie algebroid Poisson sigma model

2008 ◽  
Vol 2008 (12) ◽  
pp. 062-062 ◽  
Author(s):  
Roberto Zucchini
Keyword(s):  
Sigma Model ◽  
Lie Algebroid ◽  
Poisson Sigma Model

scholarly journals Poisson-sigma model for 2D gravity with non-metricity

2007 ◽  
Vol 24 (20) ◽  
pp. F65-F72 ◽  
Author(s):  
M Adak ◽  
D Grumiller
Keyword(s):  
2D Gravity ◽  
Sigma Model ◽  
Poisson Sigma Model

scholarly journals AKSZ CONSTRUCTION OF TOPOLOGICAL OPEN p-BRANE ACTION AND NAMBU BRACKETS

2013 ◽  
Vol 25 (03) ◽  
pp. 1330004 ◽  
Author(s):  
PETER BOUWKNEGT ◽  
BRANISLAV JURČO
Keyword(s):  
Sigma Models ◽  
Sigma Model ◽  
Nambu Brackets ◽  
Poisson Sigma Model ◽  
Brane Action

We review the AKSZ construction as applied to the topological open membranes and Poisson sigma models. We describe a generalization to open topological p-branes. Also, we propose a related (not necessarily BV) Nambu–Poisson sigma model.

scholarly journals Poisson Sigma Model on the Sphere

2008 ◽  
Vol 285 (3) ◽  
pp. 1033-1063 ◽  
Author(s):  
Francesco Bonechi ◽  
Maxim Zabzine
Keyword(s):  
Sigma Model ◽  
Poisson Sigma Model

scholarly journals SOLUTIONS OF DEFORMED THREE-DIMENSIONAL GRAVITY

2005 ◽  
Vol 20 (04) ◽  
pp. 799-810
Author(s):  
S. MIGNEMI
Keyword(s):  
Sigma Model ◽  
Three Dimensional ◽  
Energy Scale ◽  
Explicit Solutions ◽  
De Sitter ◽  
Field Equations ◽  
Btz Black Hole ◽  
Dimensional Gravity ◽  
Poisson Sigma Model ◽  
Model Formalism

We investigate the gauging of a three-dimensional deformation of the anti-de Sitter algebra, which accounts for the existence of an invariant energy scale. By means of the Poisson sigma model formalism, we obtain explicit solutions of the field equations, which reduce to the BTZ black hole in the undeformed limit.

scholarly journals Comparing Poisson Sigma Model with A-model

2016 ◽  
Vol 2016 (10) ◽  
Author(s):  
F. Bonechi ◽  
A.S. Cattaneo ◽  
R. Iraso
Keyword(s):  
Sigma Model ◽  
Poisson Sigma Model

scholarly journals Poisson sigma model over group manifolds

2005 ◽  
Vol 54 (2) ◽  
pp. 173-196 ◽  
Author(s):  
Francesco Bonechi ◽  
Maxim Zabzine
Keyword(s):  
Sigma Model ◽  
Poisson Sigma Model
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