2002/08/31 by J. G. Russo, Jorge G Russo, A. A. Tseytlin +1 · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1088/1126-6708/2002/09/035
published as JHEP 0209:035,2002 · 30 pages, harvmac. v3: argument at the end of sect. 2.2 corrected
openalex publication_date 2002/09/16 · arxiv created 2002/09/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We find a general class of pp-wave string solutions with NS-NS H3 or R-R F3 field strengths, which are analogous to solutions with non-constant F5 recently considered by Maldacena and Maoz (hep-th/0207284). We show that: (i) all pp-wave solutions supported by non-constant H3 or Fp fields are exact type II superstring solutions to all orders in \a'; (ii) the corresponding light-cone gauge Green-Schwarz actions are non-linear in bosons but always quadratic in fermions, and describe UV finite 2-d theories; (iii) the pp-wave backgrounds supported by non-constant F3 field do not have, in contrast to their F5-field counterparts, ``supernumerary'' supersymmetries and thus the associated light-cone GS actions do not possess 2-d supersymmetry. We consider a specific example where the pp-wave F3 background is parametrized by an arbitrary holomorphic function of one complex bosonic coordinate. The corresponding GS action has the same bosonic part, similar Yukawa terms but twice as many interacting world-sheet fermions as the (2,2) supersymmetric model originating from the analogous F5 background. We also discuss the structure of massless scalar vertex operators in the models related to N=2 super sine-Gordon and N=2 super Liouville theories.