Emergence of R$^{4}$-terms in M-theory - INSPIRE

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Emergence of R $^{4}$ -terms in M-theory

Apr 1, 2024

42 pages

Published in:

JHEP 07 (2024) 018

Published: Jul 3, 2024

e-Print:

2404.01371 [hep-th]

DOI:

10.1007/JHEP07(2024)018

Report number:

MPP-2024-72

View in:

ADS Abstract Service

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Abstract: (Springer)

It has been recently suggested that the strong Emergence Proposal is realized in M-theory limits by integrating out all light towers of states with a typical mass scale not larger than the species scale, i.e. the eleventh dimensional Planck mass. Within the BPS sector, these are transverse M2- and M5-branes, that can be wrapped and particle-like, carrying Kaluza-Klein momentum along the compact directions. We provide additional evidence for this picture by revisiting and investigating further the computation of R

^{4}

-interactions in M-theory à la Green-Gutperle-Vanhove. A central aspect is a novel UV-regularization of Schwinger-like integrals, whose actual meaning and power we clarify by first applying it to string perturbation theory. We consider then toroidal compactifications of M-theory and provide evidence that integrating out all light towers of states via Schwinger-like integrals thus regularized yields the complete result for R

^{4}

-interactions. In particular, this includes terms that are tree-level, one-loop and space-time instanton corrections from the weakly coupled point of view. Finally, we comment on the conceptual difference of our approach to earlier closely related work by Kiritsis-Pioline and Obers-Pioline, leading to a correspondence between two types of constrained Eisenstein series.

Note:

42 pages + appendices, 1 figure, v2: added clarifications regarding equation 6.8 and references, v3: version published in JHEP

M-Theory
String and Brane Phenomenology
String Duality
scale: Planck
M-theory: compactification
mass: scale
perturbation theory: string
compactification: torus
instanton: correction
space-time

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