A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold
A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold
Abstract We give a rigorous construction of the path integral in $${\mathcal {N}}=1/2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> supersymmetry as an integral map for differential forms on the loop space of a compact spin manifold. It is defined on the space of differential forms which …