# Nilpotent Symmetries and Curci-Ferrari Type Restrictions in 2D Non-Abelian Gauge Theory: Superfield Approach

@article{Srinivas2016NilpotentSA,
title={Nilpotent Symmetries and Curci-Ferrari Type Restrictions in 2D Non-Abelian Gauge Theory: Superfield Approach},
author={N. Srinivas and R. P. Malik},
journal={arXiv: High Energy Physics - Theory},
year={2016}
}
• Published 31 December 2016
• Mathematics
• arXiv: High Energy Physics - Theory
We derive the off-shell nilpotent symmetries of the two (1+1)-dimensional (2D) non-Abelian 1-form gauge theory by using the theoretical techniques of the geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism. For this purpose, we exploit the augmented version of superfield approach (AVSA) and derive theoretically useful nilpotent (anti-)BRST, (anti-)co-BRST symmetries and Curci-Ferrari (CF) type restrictions for the self-interacting 2D non-Abelian 1-form gauge theory…
2 Citations

### Nilpotent (anti-)BRST and (anti-)co-BRST symmetries in 2D non-Abelian gauge theory: Some novel observations

• Mathematics
International Journal of Modern Physics A
• 2021
We discuss the nilpotent Becchi–Rouet–Stora–Tyutin (BRST), anti-BRST and (anti-)co-BRST symmetry transformations and derive their corresponding conserved charges in the case of a two (1[Formula: see

### Superfield Approach to Nilpotency and Absolute Anticommutativity of Conserved Charges: 2D non-Abelian 1-Form Gauge Theory

• Physics
• 2017
We exploit the theoretical strength of augmented version of superfield approach (AVSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism to express the nilpotency and absolute anticommutativity

## References

SHOWING 1-10 OF 34 REFERENCES

### Some Novel Features in 2D Non-Abelian Theory: BRST Approach

• Mathematics
• 2016
Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss some novel features of a two (1+1)-dimensional (2D) non-Abelian 1-form gauge theory (without any interaction with matter

### An alternative to the horizontality condition in the superfield approach to BRST symmetries

We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-)

### Superfield approach to symmetries for matter fields in Abelian gauge theories

The derivation of the nilpotent Becchi–Rouet–Stora–Tyutin (BRST)- and anti-BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been a long-standing problem

### Augmented superfield approach to unique nilpotent symmetries for complex scalar fields in QED

The derivation of the exact and unique nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been a

### Superfield approach to nilpotent symmetries for QED from a single restriction: an alternative to the horizontality condition

We derive together the exact local, covariant, continuous and off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the U(1) gauge field (A μ ), the

### Abelian 2-form gauge theory: superfield formalism

AbstractWe derive the off-shell nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a free Abelian 2-form gauge theory by exploiting the

### Hodge Duality Operation and its Physical Applications on Supermanifolds

An appropriate definition of the Hodge duality ⋆ operation on any arbitrary dimensional supermanifold has been a long-standing problem. We define a working rule for the Hodge duality ⋆ operation on

### Abelian p-form (p = 1, 2, 3) gauge theories as the field theoretic models for the Hodge theory

• Mathematics
• 2014
Taking the simple examples of an Abelian 1-form gauge theory in two (1+1)-dimensions, a 2-form gauge theory in four (3+1)-dimensions and a 3-form gauge theory in six (5+1)-dimensions of space–time,

### A field-theoretic model for Hodge theory

• Mathematics
• 2008
We demonstrate that the four-dimensional (4D) ((3+1)-dimensional) free Abelian 2-form gauge theory presents a tractable field-theoretical model for the Hodge theory where the well-defined symmetry

### New topological field theories in two-dimensions

It is shown that two (1 + 1)-dimensional (2D) free Abelian and self-interacting non-Abelian gauge theories (without any interaction with matter fields) belong to a new class of topological field