Emergent M-theory limit

Abstract

It has been recently proposed that at each infinite distance limit in the moduli space of quantum gravity a perturbative description emerges with fundamental degrees of freedom given by those infinite towers of states whose typical mass scale is parametrically not larger than the ultraviolet cutoff, identified with the species scale. This proposal is applied to the familiar ten-dimensional type IIA and IIB superstring theories, when considering the limit of infinite string coupling. For type IIB, the light towers of states are given by excitations of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>D</a:mi><a:mn>1</a:mn></a:math>-brane, as expected from self-duality. Instead, for type IIA at strong coupling, which is dual to M-theory on <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mi>S</c:mi><c:mn>1</c:mn></c:msup></c:math>, we make the observation that the emergent degrees of freedom are bound states of transversal <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>M</e:mi><e:mn>2</e:mn></e:math>- and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>M</g:mi><g:mn>5</g:mn></g:math>-branes with Kaluza-Klein momentum along the circle. We speculate on the interpretation of the necessity of including all these states for a putative quantum formulation of M-theory. Published by the American Physical Society 2024

Topics & Concepts