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20022024
most citedStochastic Self-Similar and Fractal Universe

95 citations

Showing hep-thShow all

6 papers · 1 filter

hep-th2020★ 3 cited

On Forms, Cohomology, and BV Laplacians in Odd Symplectic Geometry

R. Catenacci, C. A. Cremonini, P. A. Grassi +1

We study the cohomology of the complexes of differential, integral and pseudo forms on odd symplectic manifolds taking the wedge product with the symplectic form as differential. W…

hep-th2019★ 12 cited

-Algebra from Supermanifolds

Roberto Catenacci, Pietro Antonio Grassi, Simone Noja

Inspired by the analogy between different types of differential forms on supermanifolds and string fields in superstring theory, we construct new multilinear non-associative produc…

hep-th2017★ 5 cited

Wess-Zumino and Super Yang-Mills Theories in D=4 Integral Superspace

L. Castellani, R. Catenacci, P. A. Grassi

We reconstruct the action of Wess-Zumino and super-Yang-Mills theories, using integral top forms on the supermanifold . Choosing differen…

hep-th2017★ 7 cited

Super Quantum Mechanics in the Integral Form Formalism

L. Castellani, R. Catenacci, P. A. Grassi

We reformulate Super Quantum Mechanics in the context of integral forms. This framework allows to interpolate between different actions for the same theory, connected by different…

hep-th2015★ 26 cited

Hodge Dualities on Supermanifolds

Leonardo Castellani, Roberto Catenacci, Pietro Antonio Grassi

We discuss the cohomology of superforms and integral forms from a new perspective based on a recently proposed Hodge dual operator. We show how the superspace constraints (a.k.a. r…

hep-th2015★ 43 cited

The Geometry of Supermanifolds and New Supersymmetric Actions

L. Castellani, R. Catenacci, P. A. Grassi

We construct the Hodge dual for supermanifolds by means of the Grassmannian Fourier transform of superforms. In the case of supermanifolds it is known that the superforms are not s…