2021/12/24 by I. L. Buchbinder, Buchbinder, I. L., S. James Gates +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2112.13059
openalex publication_date 2021/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the superspace BRST and BV description of 4D,~N=1 Super Maxwell theory and its non-abelian generalization Super Yang-Mills. By fermionizing the superspace gauge transformation of the gauge superfields we define the nilpotent superspace BRST symmetry transformation (\mathscrs). After introducing an appropriate set of anti-superfields and define the superspace antibracket, we use it to construct the BV-BRST nilpotent differential operator (\mathfraks) in terms of superspace covariant derivatives. The anti-superfield independent terms of \mathfraks provide a superspace generalization of the Koszul-Tate resolution (δ). In the linearized limit, the set of superspace differential operators that appear in \mathfraks satisfy a nonlinear algebra which can be used to construct a BRST charge Q without requiring pure spinor variables. Q acts on the Hilbert space of superfield states and its cohomology generates the expected superspace equations of motion.