Publication:

Globalization for perturbative quantization of nonlinear split AKSZ Sigma Models on manifolds with boundary

Date

Date

Date
2019
Journal Article
Published version

Citations

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Cattaneo, A. S., Moshayedi, N., & Wernli, K. W. (2019). Globalization for perturbative quantization of nonlinear split AKSZ Sigma Models on manifolds with boundary. Communications in Mathematical Physics, 372(1), 213–260. https://doi.org/10.1007/s00220-019-03591-5

Abstract

Abstract

Abstract

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, and show that it captures the change of the quantum state as one changes the constant map around which one perturbs. This is done by using concepts of formal geometry. Moreover, we show that the globalized quantum state can be interpreted as a closed section with respect to an operator that squares to zero. This condition is a generalization of the modified Q

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3 since deposited on 2019-12-16
Acq. date: 2025-11-13

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1 since deposited on 2019-12-16
Acq. date: 2025-11-13

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Creators (Authors)

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
372

Number

Number

Number
1

Page range/Item number

Page range/Item number

Page range/Item number
213

Page end

Page end

Page end
260

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Mathematical Physics, Statistical and Nonlinear Physics

Language

Language

Language
English

Publication date

Publication date

Publication date
2019-11-08

Date available

Date available

Date available
2019-12-16

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0010-3616

OA Status

OA Status

OA Status
Green

Free Access at

Free Access at

Free Access at
DOI

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Downloads

3 since deposited on 2019-12-16
Acq. date: 2025-11-13

Views

1 since deposited on 2019-12-16
Acq. date: 2025-11-13

Citations

Citation copied

Cattaneo, A. S., Moshayedi, N., & Wernli, K. W. (2019). Globalization for perturbative quantization of nonlinear split AKSZ Sigma Models on manifolds with boundary. Communications in Mathematical Physics, 372(1), 213–260. https://doi.org/10.1007/s00220-019-03591-5

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