Perturbative N = 2 Supersymmetric Quantum Mechanics and L-Theory with Complex Coefficients

Research output: Contribution to journalArticle

Abstract

We construct L-theory with complex coefficients from the geometry of 1|2-dimensional perturbative mechanics. Methods of perturbative quantization lead to wrong-way maps that we identify with those coming from the MSO orientation of L-theory tensored with the complex numbers. In particular, the total volume of a space of 1|2-dimensional vacua reads off the signature of a 4k-dimensional oriented manifold.

Original languageEnglish (US)
Pages (from-to)109-129
Number of pages21
JournalLetters in Mathematical Physics
Volume106
Issue number1
DOIs
StatePublished - Jan 1 2016

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complex numbers
Supersymmetric Quantum Mechanics
quantum mechanics
signatures
Coefficient
coefficients
geometry
Complex number
Mechanics
Quantization
Signature

Keywords

  • algebraic topology of manifolds
  • cohomological methods
  • generalized (extraordinary) homology and cohomology theories
  • quantization in field theory
  • supersymmetric field theories

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Perturbative N = 2 Supersymmetric Quantum Mechanics and L-Theory with Complex Coefficients. / Berwick Evans, Daniel.

In: Letters in Mathematical Physics, Vol. 106, No. 1, 01.01.2016, p. 109-129.

Research output: Contribution to journalArticle

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