Abstract
AbstractWe consider pp‐wave backgrounds for which superstring action written in light‐cone gauge have the form of an interacting 2‐d theory. All pp‐wave solutions supported by non‐constant H3 or Fp fields are exact type II superstring solutions to all orders in α′. The corresponding light‐cone gauge Green‐Schwarz actions are non‐linear in bosons but always quadratic in fermions, and describe UV finite (but, in general, non‐supersymmetric) 2‐d theories. We consider a specific example where the pp‐wave F3 background is parametrized by an arbitrary holomorphic function of one complex bosonic coordinate.
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