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Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4
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These notes explore some aspects of formal derived geometry related to classical field theory. One goal is to explain how many important classical field theories in physics -- such as supersymmetric gauge theories and supersymmetric sigma-models -- can be described very cleanly using derived geometry. In particular, I describe a mathematically natural construction of Kapustin-Witten's P^1 of twisted supersymmetric gauge theories.
Forward citations
Cited by 3 Pith papers
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Renormalizations in holomorphic field theories on K\"ahler manifolds
Heat-kernel, Cauchy principal value, and zeta-function renormalizations of Feynman graph integrals on closed real-analytic Kähler manifolds all converge to the same canonical current.
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Loop Corrected Supercharges from Holomorphic Anomalies
The complete one-loop supercharge for 4d Lagrangian SUSY gauge theories is derived in the holomorphic twist, packaged for N=4 SYM as a compact superfield formula.
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On coefficients of operator product expansions for quantum field theories with ordinary, holomorphic, and topological spacetime dimensions
For theories with mixed topological, holomorphic, and ordinary spacetime dimensions, OPE coefficients are proposed to be sheaf cohomology classes, with singular derived coefficients appearing under explicit dimension-...
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