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) - physics , superstring theory , pure spinor , covariant transformation , superspace , regularization (linguistics) , scattering amplitude , mathematical physics , formalism (music) , spinor , computation , dimensional regularization , topological string theory , string theory , effective action , f term , scattering , theoretical physics , supersymmetry , amplitude , green–schwarz mechanism , quantum electrodynamics , quantum mechanics , superfield , action (physics) , string (physics) , brst quantization , path integral formulation , supermanifold , d term , zeta function regularization , string field theory , covariant derivative , particle physics , gamma matrices , d brane
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
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom