Authors embed Yang-Mills BV-multiplet into N=2 spinning worldline path integral, pull back to supermoduli space integral form, and recover the Yang-Mills action upon projection to Fock space.
Resolving Witten's Superstring Field Theory
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abstract
We regulate Witten's open superstring field theory by replacing the picture-changing insertion at the midpoint with a contour integral of picture changing insertions over the half-string overlaps of the cubic vertex. The resulting product between string fields is non-associative, but we provide a solution to the $A_\infty$ relations defining all higher vertices. The result is an explicit covariant superstring field theory which by construction satisfies the classical BV master equation.
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Yang-Mills Theory and the $\mathcal{N}=2$ Spinning Path Integral
Authors embed Yang-Mills BV-multiplet into N=2 spinning worldline path integral, pull back to supermoduli space integral form, and recover the Yang-Mills action upon projection to Fock space.