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arxiv hep-th/9901094 v1 pith:ZO6FQSYI submitted 1999-01-20 hep-th math.DG

Pierre Deligne , Daniel S. Freed This is my paper · ORCID
classification hep-thmath.DG
keywords theoriessupersymmetricvariousamericanamountsappearappendixaspects
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We develop classical globally supersymmetric theories. As much as possible, we treat various dimensions and various amounts of supersymmetry in a uniform manner. We discuss theories both in components and in superspace. Throughout we emphasize geometric aspects. The beginning chapters give a general discussion about supersymmetric field theories; then we move on to detailed computations of lagrangians, etc. in specific theories. An appendix details our sign conventions. This text will appear in a two-volume work "Quantum Fields and Strings: A Course for Mathematicians" to be published soon by the American Mathematical Society. Some of the cross-references may be found at http://www.math.ias.edu/~drm/QFT/

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Topological Twisting of 4d $\mathcal{N}=2$ Supersymmetric Field Theories

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    For any 4d N=2 theory, topologically twisted partition functions depend on the diffeomorphism type, 't Hooft fluxes, and a generalized spin-c structure.

  2. Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    The M-algebra is shown to be the brane-charge completion of the fully T-doubled super-spacetime, with the Poincaré super 2-form of T-duality lifted to a Poincaré super 3-form.

  3. Higher Superspace Supergravity and its IR-Completions

    hep-th 2026-07 conditional novelty 4.0 of 10

    11D supergravity, its toroidal reductions, and M5-brane worldvolume flux are equivalent to Bianchi identities in characteristic L∞-algebras (lS4, cyc(lS4), tor(lS4), lS4S7), whose IR completions are classified by flux...

  4. Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

    math-ph 2024-11 unverdicted

    A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.

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