An Ambiguity in Fermionic String Perturbation Theory

Sep, 1987
16 pages
Published in:
  • Nucl.Phys.B 299 (1988) 279-294
  • Published: 1988
Report number:
  • SLAC-PUB-4420,
  • IASSNS/HEP-87/45

Citations per year

19881995200220092016051015
Abstract: (Elsevier)
Recent investigation by Verlinde and Verlinde has shown that the fermionic string loop amplitudes change by a total derivative term in the moduli space under a change of basis of the supermoduli. This ambiguity is addressed in the context of the heterotic string theory, and shown to be a consequence of an inherent ambiguity in defining integration over the variables of a Grassmann algebra—in this case the Grassmann-valued coordinates of the supermoduli space. A resolution of this ambiguity in genus-two within this formalism is also presented.
  • MODEL: STRING
  • string model: fermion
  • SUPERSYMMETRY
  • FIELD THEORY: PATH INTEGRAL
  • FIELD THEORY: PARTITION FUNCTION
  • PERTURBATION THEORY
  • MATHEMATICAL METHODS: Riemann surface