Author
Candelas, P
de la Ossa, X
McOrist, J
Journal title
Communications in Mathematical Physics
DOI
10.1007/s00220-017-2978-7
Issue
2
Volume
356
Last updated
2024-03-26T20:42:41.57+00:00
Page
567-612
Abstract
Heterotic vacua of string theory are relised, at large radius, by a compact threefold with vanishing first Chern class together with a choice of stable holomorphic vector bundle. These form a wide class of potentially realistic four-dimensional vacua of string theory. Despite all their phenomenological promise, there is little understanding of the metric on the moduli space of these. What is sought is the analogue of special geometry for these vacua. Themetric on the moduli space is important in phenomenology as it normalises D-terms and Yukawa couplings. It is also of interest in mathematics, since it generalises the metric, first found by Kobayashi, on the space of gauge field connections, to a more general context. Here we construct this metric, correct to first order in ɑ' , in two ways: first by postulating a metric that is invariant under background gauge transformations of the gauge field, and also by dimensionally reducing heterotic supergravity. These methods agree and the resulting metric is Kähler, as is required by supersymmetry. Checking the metric is Kähler is intricate and the anomaly cancellation equation for the H field plays an essential role. The Kähler potential nevertheless takes a remarkably simple form: it is the Kähler potential of special geometry with the Kähler form replaced by the ɑ'-corrected hermitian form.
Symplectic ID
623266
Favourite
On
Publication type
Journal Article
Publication date
08 Sep 2017
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