%0 Journal Article
%T Hypermultiplet metric and NS5-instantons
%+ Laboratoire Charles Coulomb (L2C)
%A Alexandrov, Sergei
%A Bendriss, Khalil
%< avec comité de lecture
%J JHEP
%V 01
%P 140
%8 2024
%D 2024
%Z 2309.14440
%R 10.1007/JHEP01(2024)140
%K string, coupling
%K compactification, Calabi-Yau
%K moduli space, Calabi-Yau
%K string, amplitude analysis
%K instanton, correction
%K space, Einstein
%K D-brane
%K string model
%K structure
%K self-duality
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X The metric on the hypermultiplet moduli space of Calabi-Yau compactifications of type II string theory is known to receive D-brane and NS5-brane instanton corrections. We compute explicit expressions for these corrections in the one-instanton approximation, but to all orders in the string coupling expansion around the instantons. As a consistency check, we prove that in the case of one (universal) hypermultiplet, the resulting metric fits the Przanowski description of self-dual Einstein spaces. We also show that in the small string coupling limit the metric acquires a certain square structure, consistently with expectations from the string amplitudes analysis. This result provides explicit predictions for yet mysterious string amplitudes in the presence of NS5-branes.
%G English
%L hal-04236880
%U https://hal.science/hal-04236880
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021