Work

Modified Einstein equations from the 1-loop effective action of the IKKT model

Year: 2024

Type: article

Abstract: We derive the equations of motion that arise from the one-loop effective action for the geometry of 3+1 dimensional quantum branes in the IKKT matrix model. These equations are cast into the form of generalized Einstein equations, with extra contributions from dilaton and axionic fields, as well as a novel anharmonicity tensorCµνcapturing the classical Yang–Mills-type action. The resulting gravity theory approximately reduces to general relativity in some regime, but differs significantly at cosmic scales, leading to an asymptotically flat Friedmann–Lemaître–Robertson–Walker cosmological evolution governed by the classical action.

Source: Classical and Quantum Gravity

DOI: 10.1088/1361-6382/ad6e4b

Authors: Kaushlendra Kumar, Harold C Steinacker

Institutions: Leibniz University Hannover, University of Vienna

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,165

Funder: Austrian Science Fund