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Resolving Witten's Superstring Field Theory

2013/12/23 by Theodore Erler, Sebastian Konopka, Ivo Sachs
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/jhep04(2014)150

published as JHEP04(2014)150 · V2: Added discussion of 4-point amplitudes. 33 pages, 4 figures

arxiv created 2013/12/23 · arxiv updated 2015/06/18

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_∞ 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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