Citation

BibTex format

@article{Tseytlin:2025:10.1016/j.nuclphysb.2025.117057,
author = {Tseytlin, AA and Wang, Z},
doi = {10.1016/j.nuclphysb.2025.117057},
journal = {Nuclear Physics B},
title = {On world-sheet S-matrix of NSR string in static gauge},
url = {http://dx.doi.org/10.1016/j.nuclphysb.2025.117057},
volume = {1018},
year = {2025}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - As was shown in arXiv:1203.1054, expanding the Nambu action near the “long string” vacuum in the static gauge one finds that the one-loop 2→2 scattering amplitude of the D−2=24 transverse 2d fluctuations X<sup>i</sup> is given by a pure phase expression consistent with underlying integrability. Similar computation in the Green-Schwarz superstring was carried out in arXiv:2404.09658. Here we consider the case of the NSR or spinning string starting with its manifestly 2d covariant action given by D scalar multiplets coupled to 2d supergravity. Integrating out the zweibein and gravitino fields is not straightforward so that a Nambu-like version of the spinning string action involving only the scalar coordinates and their 2d fermionic partners was not given in the past. We show how the elimination of the auxiliary fields can be done in the static gauge after a particular choice of the superconformal gauges on the fermions while keeping the transverse fields X<sup>i</sup> and ψ<sup>i</sup> off-shell. The resulting one-loop S-matrix for X<sup>i</sup> turns out, as expected, to be the same as in the GS superstring case. We also discuss similar actions for the heterotic string and a TT¯ deformation of a free 2d scalar multiplet.
AU  - Tseytlin,AA
AU  - Wang,Z
DO  - 10.1016/j.nuclphysb.2025.117057
PY  - 2025///
SN  - 0550-3213
TI  - On world-sheet S-matrix of NSR string in static gauge
T2  - Nuclear Physics B
UR  - http://dx.doi.org/10.1016/j.nuclphysb.2025.117057
VL  - 1018
ER  -
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