Integral invariants in flat superspace
Michael Movshev, Albert Schwarz, Renjun Xu
TL;DR
This paper addresses homological problems in flat superspace related to constructing supersymmetry-invariant integrals, with implications for supergravity and the pure spinor formalism.
Contribution
It solves specific homological problems in flat superspace, extending methods applicable to supertorus and advancing the understanding of supersymmetry-invariant integrals.
Findings
Solved homological problems in flat superspace
Extended methods to supertorus cases
Implications for pure spinor formalism in supergravity
Abstract
We are solving for the case of flat superspace some homological problems that were formulated by Berkovits and Howe. (Our considerations can be applied also to the case of supertorus.) These problems arise in the attempt to construct integrals invariant with respect to supersymmetry. They appear also in other situations, in particular, in the pure spinor formalism in supergravity.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Noncommutative and Quantum Gravity Theories