Open AccessMultiloop superstring amplitudes from non-minimal pure spinor formalism
Author(s) -
Nathan Berkovits,
Nikita Nekrasov
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/12/029
Subject(s) - pure spinor , superstring theory , covariant transformation , superspace , mathematical physics , physics , scattering amplitude , spinor , regularization (linguistics) , invariant (physics) , formalism (music) , brst quantization , topological string theory , amplitude , computation , supersymmetry , quantum mechanics , mathematics , gauge theory , computer science , art , musical , visual arts , quantum gravity , relationship between string theory and quantum field theory , quantum , algorithm , artificial intelligence
Using the non-minimal version of the pure spinor formalism, manifestlysuper-Poincare covariant superstring scattering amplitudes can be computed asin topological string theory without the need of picture-changing operators.The only subtlety comes from regularizing the functional integral over the purespinor ghosts. In this paper, it is shown how to regularize this functionalintegral in a BRST-invariant manner, allowing the computation of arbitrarymultiloop amplitudes. The regularization method simplifies for scatteringamplitudes which contribute to ten-dimensional F-terms, i.e. terms in theten-dimensional superspace action which do not involve integration over themaximum number of $\theta$'s.Comment: 23 pages harvmac, added acknowledgemen
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