Integral representations on supermanifolds: super Hodge duals, PCOs and Liouville forms

DOI10.1007/s11005-016-0895-xzbMath1377.58003arXiv1603.01092OpenAlexW2288724099MaRDI QIDQ2361100

Roberto Catenacci, Leonardo Castellani, Pietro Antonio Grassi

Publication date: 29 June 2017

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01092

zbMATH Keywords

string theorygeometric integration theorysupermanifolds and graded manifoldssuper-Kähler manifoldsuper-Liouville form

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Supermanifolds and graded manifolds (58A50) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (9)

On forms, cohomology and BV Laplacians in odd symplectic geometry ⋮ Wess-Zumino and super Yang-Mills theories in \(D=4\) integral superspace ⋮ Surface operators in superspace ⋮ The Integral Form of D = 3 Chern‐Simons Theories Probing Singularities ⋮ Pictures from super Chern-Simons theory ⋮ One-dimensional super Calabi-Yau manifolds and their mirrors ⋮ Super-quantum mechanics in the integral form formalism ⋮ Superstring field theory, superforms and supergeometry ⋮ \(A_\infty\)-algebra from supermanifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Čech and de Rham cohomology of integral forms
• Integration on vector bundles
• Perturbative gauge theory as a string theory in twistor space
• Supergravity actions with integral forms
• The integral form of supergravity
• BRST model for equivariant cohomology and representatives for the equivariant Thom class
• Quantization of forms on the cotangent bundle
• Notes on supermanifolds and integration
• Hodge star as braided Fourier transform
• On volumes of classical supermanifolds
• The geometry of supermanifolds and new supersymmetric actions
• Hodge dualities on supermanifolds

This page was built for publication: Integral representations on supermanifolds: super Hodge duals, PCOs and Liouville forms