Hodge dualities on supermanifolds

DOI10.1016/j.nuclphysb.2015.08.002zbMath1331.46068arXiv1507.01421OpenAlexW754065900MaRDI QIDQ5964169

Leonardo Castellani, Roberto Catenacci, Pietro Antonio Grassi

Publication date: 26 February 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01421

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Quantization in field theory; cohomological methods (81T70) Supermanifolds and graded manifolds (58A50) Differential forms in global analysis (58A10) Hodge theory in global analysis (58A14) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (16)

Integral representations on supermanifolds: super Hodge duals, PCOs and Liouville forms ⋮ Chern-Simons theory on supermanifolds ⋮ The integral form of supergravity ⋮ Superforms in six-dimensional superspace ⋮ Wess-Zumino and super Yang-Mills theories in \(D=4\) integral superspace ⋮ Surface operators in superspace ⋮ Supervariable approach to the nilpotent symmetries for a toy model of the Hodge theory ⋮ Embedding of the Georgi-Glashow SU(5) model in the superconformal algebra ⋮ Pictures from super Chern-Simons theory ⋮ One-dimensional super Calabi-Yau manifolds and their mirrors ⋮ Supergravities and branes from Hilbert-Poincaré series ⋮ Super-quantum mechanics in the integral form formalism ⋮ The geometry of supermanifolds and new supersymmetric actions ⋮ Superstring field theory, superforms and supergeometry ⋮ Self-dual forms in supergeometry. I: The chiral boson ⋮ \(A_\infty\)-algebra from supermanifolds

Cites Work

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• Čech and de Rham cohomology of integral forms
• Balanced superprojective varieties
• Supergravity actions with integral forms
• Vertex operators for \(\text{AdS}_3\) background with Ramond-Ramond flux
• Notes on supermanifolds and integration
• Superforms in five-dimensional, \(N=3\) superspace
• Superspace de Rham complex and relative cohomology
• The geometry of supermanifolds and new supersymmetric actions

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