TY - JOUR

T1 - N=2 quantum string scattering

AU - Chalmers, Gordon

AU - Lechtenfeld, Olaf

AU - Niemeyer, Bernd

N1 - Funding Information: The work of G.C. is supported in part by the U.S. Department of Energy, Division of High Energy Physics, Contract W-31-109-ENG-38. Support for O.L. and B.N. by the German National Science Foundation (DFG) under grant LE 838/5-2 is gratefully acknowledged. G.C. thanks the Institute for Theoretical Physics at the University of Hannover for hospitality and Warren Siegel for relevant correspondence. O.L. acknowledges fruitful discussions with Michael Flohr, Klaus Hulek, Jacob Nielsen and Jeroen Spandaw. B.N. is thankful to Klaus Jünemann for useful conversations. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2000/12/18

Y1 - 2000/12/18

N2 - We calculate the genus-one three- and four-point amplitudes in the (2+2)-dimensional closed N=(2,2) worldsheet supersymmetric string within the RNS formulation. Vertex operators are redefined with the incorporation of spinor helicity techniques, and the quantum scattering is shown to be manifestly gauge and Lorentz invariant after normalizing the string states. The continuous spin structure summation over the monodromies of the worldsheet fermions is carried out explicitly, and the field-theory limit is extracted. The amplitude in this limit is shown to be the maximally helicity violating amplitude in pure gravity evaluated in a two-dimensional setting, which vanishes, unlike the four-dimensional result. The vanishing of the genus-one N=2 closed string amplitude is related to the absence of one-loop divergences in dimensionally regulated IIB supergravity. Comparisons and contrasts between self-dual field theory and the N=2 string theory are made at the quantum level; they have different S-matrices. Finally, we point to further relations with self-dual field theory and two-dimensional models.

AB - We calculate the genus-one three- and four-point amplitudes in the (2+2)-dimensional closed N=(2,2) worldsheet supersymmetric string within the RNS formulation. Vertex operators are redefined with the incorporation of spinor helicity techniques, and the quantum scattering is shown to be manifestly gauge and Lorentz invariant after normalizing the string states. The continuous spin structure summation over the monodromies of the worldsheet fermions is carried out explicitly, and the field-theory limit is extracted. The amplitude in this limit is shown to be the maximally helicity violating amplitude in pure gravity evaluated in a two-dimensional setting, which vanishes, unlike the four-dimensional result. The vanishing of the genus-one N=2 closed string amplitude is related to the absence of one-loop divergences in dimensionally regulated IIB supergravity. Comparisons and contrasts between self-dual field theory and the N=2 string theory are made at the quantum level; they have different S-matrices. Finally, we point to further relations with self-dual field theory and two-dimensional models.

KW - 11.25.Db

KW - N=2 string

KW - Quantum string scattering

KW - Self-dual gravity

KW - Spin structures

KW - String loop amplitudes

UR - http://www.scopus.com/inward/record.url?scp=0002190571&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(00)00560-5

DO - 10.1016/S0550-3213(00)00560-5

M3 - Article

AN - SCOPUS:0002190571

VL - 591

SP - 39

EP - 76

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -