17 citations · 72 across the 18 of their papers we have counts for
18 papers
From BV-BFV Quantization to Reshetikhin-Turaev Invariants
Nima Moshayedi
We propose a program for bridging the gap between the perturbative BV-BFV quantization of Chern-Simons theory and the non-perturbative Reshetikhin-Turaev (RT) invariants of 3-manif…
3D Supergravity in the Batalin-Vilkovisky Formalism
Alberto S. Cattaneo, Nima Moshayedi, Alberto Smailovic Funcasta
Three-dimensional supergravity in the Batalin-Vilkovisky formalism is constructed by showing that the theory including the Rarita-Schwinger term is equivalent to an AKSZ theory.
Equivariant BV-BFV Formalism
Alberto S. Cattaneo, Nima Moshayedi
The recently introduced equivariant BV formalism is extended to the case of manifolds with boundary under appropriate conditions. AKSZ theories are presented as a practical example…
4-Manifold Topology, Donaldson-Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism
Nima Moshayedi
We study the behavior of Donaldson's invariants of 4-manifolds based on the moduli space of anti self-dual connections (instantons) in the perturbative field theory setting where t…
Formal Global Perturbative Quantization of the Rozansky-Witten Model in the BV-BFV Formalism
Nima Moshayedi, Davide Saccardo
We describe a globalization construction for the Rozansky-Witten model in the BV-BFV formalism for a source manifold with and without boundary in the classical and quantum case. Af…
Lectures on Symplectic Geometry, Poisson Geometry, Deformation Quantization and Quantum Field Theory
Nima Moshayedi
These are lecture notes for the course "Poisson geometry and deformation quantization" given by the author during the fall semester 2020 at the University of Zurich. The first chap…
Notes on Geometric Quantization
Nima Moshayedi
These notes give an introduction to the quantization procedure called geometric quantization. It gives a definition of the mathematical background for its understanding and introdu…
Lectures on Probability Theory
Nima Moshayedi
These are lecture notes written at the University of Zurich during spring 2014 and spring 2015. The first part of the notes gives an introduction to probability theory. It explains…
On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
Nima Moshayedi
Using the quantum construction of the BV-BFV method for perturbative gauge theories, we show that the obstruction for quantizing a codimension 1 theory is given by the second cohom…
Convolution algebras for Relational Groupoids and Reduction
Ivan Contreras, Nima Moshayedi, Konstantin Wernli
We introduce the notions of relational groupoids and relational convolution algebras. We provide various examples arising from the group algebra of a group and a given normal s…
Formal Global AKSZ Gauge Observables and Generalized Wilson Surfaces
Nima Moshayedi
We consider a construction of observables by using methods of supersymmetric field theories. In particular, we give an extension of AKSZ-type observables using the Batalin-Vilkovis…
On Globalized Traces for the Poisson Sigma Model
Nima Moshayedi
A globalized version of a trace formula for the Poisson Sigma Model on the disk is presented by using its formal global picture in the setting of the Batalin-Vilkovisky formalism.…
Computation of Kontsevich Weights of Connection and Curvature Graphs for Symplectic Poisson Structures
Nima Moshayedi, Fabio Musio
We give a detailed explicit computation of weights of Kontsevich graphs which arise from connection and curvature terms within the globalization picture for the special case of sym…
Introduction to the BV-BFV formalism
Alberto S. Cattaneo, Nima Moshayedi
These notes give an introduction to the mathematical framework of the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky formalisms. Some of the presented content was given as a min…
Quantum Field Theory and Functional Integrals
Nima Moshayedi
These notes were inspired by the course ''Quantum Field Theory from a Functional Integral Point of View'' given at the University of Zurich in Spring 2017 by Santosh Kandel. We des…
On the Globalization of the Poisson Sigma Model in the BV-BFV Formalism
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli
We construct a formal global quantization of the Poisson Sigma Model in the BV-BFV formalism using the perturbative quantization of AKSZ theories on manifolds with boundary and ana…
Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli
We describe a covariant framework to construct a globalized version for the perturbative quantization of nonlinear split AKSZ Sigma Models on manifolds with and without boundary, a…
Relational Symplectic Groupoid Quantization for Constant Poisson Structures
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli
As a detailed application of the BV-BFV formalism for the quantization of field theories on manifolds with boundary, this note describes a quantization of the relational symplectic…