scholarly journals BRST quantization and equivariant cohomology: localization with asymptotic boundaries

2018 ◽  
Vol 2018 (9) ◽  
Author(s):  
Bernard de Wit ◽  
Sameer Murthy ◽  
Valentin Reys
Keyword(s):  
Equivariant Cohomology ◽  
Brst Quantization

BRST quantization of vector and axial-vector gauge theory

1993 ◽  
Vol 48 (10) ◽  
pp. 4916-4918
Author(s):  
Dae Sung Hwang ◽  
Chang-Yeong Lee
Keyword(s):  
Gauge Theory ◽  
Brst Quantization ◽  
Axial Vector ◽  
Vector Gauge

scholarly journals Topological correlators and surface defects from equivariant cohomology

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Rodolfo Panerai ◽  
Antonio Pittelli ◽  
Konstantina Polydorou
Keyword(s):  
Quantum Mechanics ◽  
Equivariant Cohomology ◽  
Surface Defects ◽  
Star Product ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Dimensional System ◽  
The Novel ◽  
One Dimensional ◽  
Dual Quantum

Abstract We find a one-dimensional protected subsector of $$ \mathcal{N} $$ N = 4 matter theories on a general class of three-dimensional manifolds. By means of equivariant localization we identify a dual quantum mechanics computing BPS correlators of the original model in three dimensions. Specifically, applying the Atiyah-Bott-Berline-Vergne formula to the original action demonstrates that this localizes on a one-dimensional action with support on the fixed-point submanifold of suitable isometries. We first show that our approach reproduces previous results obtained on S3. Then, we apply it to the novel case of S2× S1 and show that the theory localizes on two noninteracting quantum mechanics with disjoint support. We prove that the BPS operators of such models are naturally associated with a noncom- mutative star product, while their correlation functions are essentially topological. Finally, we couple the three-dimensional theory to general $$ \mathcal{N} $$ N = (2, 2) surface defects and extend the localization computation to capture the full partition function and BPS correlators of the mixed-dimensional system.

scholarly journals Proper BRST quantization of relativistic particles

1994 ◽  
Vol 418 (1-2) ◽  
pp. 353-378 ◽  
Author(s):  
Robert Marnelius
Keyword(s):  
Brst Quantization ◽  
Relativistic Particles

scholarly journals SUPERFIELD FORMULATION OF THE LAGRANGIAN BRST QUANTIZATION METHOD

1995 ◽  
Vol 10 (35) ◽  
pp. 2687-2694 ◽  
Author(s):  
P.M. LAVROV ◽  
P.YU. MOSHIN ◽  
A.A. RESHETNYAK
Keyword(s):  
Gauge Theories ◽  
Brst Quantization ◽  
Brst Symmetry ◽  
Quantization Method ◽  
Ward Identities ◽  
S Matrix ◽  
General Gauge ◽  
Quantization Rules

Lagrangian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the S-matrix on a choice of the gauge is proved. The Ward identities in terms of superfields are derived.

scholarly journals Geometric BRST quantization, I: Prequantization

1991 ◽  
Vol 136 (2) ◽  
pp. 209-229 ◽  
Author(s):  
José M. Figueroa-O'Farrill ◽  
Takashi Kimura
Keyword(s):  
Brst Quantization

scholarly journals BFV-BRST quantization of two-dimensional supergravity

1996 ◽  
Vol 53 (2) ◽  
pp. 852-869 ◽  
Author(s):  
T. Fujiwara ◽  
Y. Igarashi ◽  
R. Kuriki ◽  
T. Tabei
Keyword(s):  
Brst Quantization ◽  
Two Dimensional
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