Work

2-loop scattering on superstring and supermembrane in flat space

Year: 2025

Type: article

Abstract: A bstract We consider the S-matrix of transverse scalar excitations on an infinite D = 10 GS superstring and D = 11 supermembrane in flat target space. We compute the 4-particle scattering amplitude in the 2-loop approximation and demonstrate that, like in the Nambu string case, the D = 10 GS string S-matrix does not contain non-trivial 2d UV divergences (UV pole not accompanied by terms with logarithms of momenta is an artifact of dimensional regularization). This is consistent with underlying integrability of this model which is maintaining by adding appropriate local counterterms. In the supermembrane case there are no 1-loop divergences but we find a genuine 2-loop UV pole. This demonstrates non-finiteness of the world-volume S-matrix of the M2 brane theory.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep09(2025)191

Authors: M. Beccaria, R. Roiban, A. A. Tseytlin

Institutions: University of Salento, Istituto Nazionale di Fisica Nucleare, Sezione di Lecce, Pennsylvania State University, Imperial College London

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: U.S. Department of Energy, Science and Technology Facilities Council

Awards: G1112029613, DARK MATTER SEARCHES WITH THE LUX-ZEPLIN EXPERIMENT AT PENN STATE UNIVERSITY, G436094658, M-Theory, Cosmology and Quantum Field Theory