CERN Accelerating science

Article
Report number	CPHT-RR-041-0816 ; CERN-TH-2016-175 ; arXiv:1608.01660
Title	Protected couplings and BPS dyons in half-maximal supersymmetric string vacua
Related title	Protected couplings and BPS dyons in half-maximal supersymmetric string vacua
Author(s)	Bossard, Guillaume (Ecole Polytechnique, CPHT) ; Cosnier-Horeau, Charles (Ecole Polytechnique, CPHT ; Paris, LPTHE) ; Pioline, Boris (Paris, LPTHE ; CERN)
Publication	2017-02-10
Imprint	04 Aug 2016
Number of pages	5
Note	6 pages
In:	Phys. Lett. B 765 (2017) 377-381
DOI	10.1016/j.physletb.2016.12.035
Subject category	hep-th ; Particle Physics - Theory
Abstract	We analyze four- and six-derivative couplings in the low energy effective action of $D=3$ string vacua with half-maximal supersymmetry. In analogy with an earlier proposal for the $(\nabla\Phi)^4$ coupling, we propose that the $\nabla^2(\nabla\Phi)^4$ coupling is given exactly by a manifestly U-duality invariant genus-two modular integral. In the limit where a circle in the internal torus decompactifies, the $\nabla^2(\nabla\Phi)^4$ coupling reduces to the $D^2 F^4$ and $R^2 F^2$ couplings in $D=4$, along with an infinite series of corrections of order $e^{-R}$, from four-dimensional 1/4-BPS dyons whose wordline winds around the circle. Each of these contributions is weighted by a Fourier coefficient of a meromorphic Siegel modular form, explaining and extending standard results for the BPS index of 1/4-BPS dyons.
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2016-2025 CERN (License: CC-BY-4.0) publication: © 2017-2025 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³

Corresponding record in: Inspire