Abstract
It is established that in the tensionless limit the chiral superstring integrand is reduced to the chiral integrand of the ambitwistor string.
Highlights
JHEP10(2021)171 it may be formally obtained as a low-energy (α → 0) limit of the RNS string [13], a more careful analysis seems to indicate that the two are better related by the tensionless (α → ∞) limit [18, 19]
In this letter, considering the latter viewpoint, by direct computation of the chiral integrand [20] of superstring NS states we demonstrate that it reduces to the corresponding half integrand in the ambitwistor string as the tensionless limit is approached
The scattering of n NS states in superstring perturbation theory is defined by a formal integral over the supermoduli space Mg,n of super Riemann surfaces with n NS punctures dμg,n |δ(HA|B)|2 B,C × On where HA is a basis of Beltrami superdifferentials and B and C are ghost superfields encoding the bc and βγ systems such that
Summary
The scattering of n NS states in superstring perturbation theory is defined by a formal integral over the supermoduli space Mg,n (with measure dμg,n) of super Riemann surfaces with n NS punctures dμg,n |δ(HA|B)|2 B,C × On. where HA is a basis of Beltrami superdifferentials and B and C are ghost superfields encoding the bc and βγ systems such that. The chiral fields x+(z) and ψ(z) are purely holomorphic and obey (given a spin structure δ) the operator product expansions xμ+(z)xν+(z ) ∼ −ημνα ln(E(z, z )). Where E(zi, zj) is the prime form on a genus g Riemann surface and Sδ(zi, zj) is the genus g Szego kernel for spin structure δ. The loop momenta pI are defined as monodromies of the chiral ∂x+ fields around the AI cycles of the Riemann surface. The constants ηδ and ηδ take values ±1 and perform the GSO projection based on the combination chosen
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