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The Universal Geometry of heterotic vacua

Candelas, Philip, de la Ossa, Xenia, McOrist, Jock and Sisca, Roberto (2019) The Universal Geometry of heterotic vacua Journal of High Energy Physics, 2019 (2), 038. pp. 1-45.

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We consider a family of perturbative heterotic string backgrounds. These are complex threefolds X with c1 = 0, each with a gauge field solving the Hermitian Yang-Mill’s equations and compatible B and H fields that satisfy the anomaly cancellation conditions. Our perspective is to consider a geometry in which these backgrounds are fibred over a parameter space. If the manifold X has coordinates x, and parameters are denoted by y, then it is natural to consider coordinate transformations x→x~(x,y)andy→y~(y) . Similarly, gauge transformations of the gauge field and B field also depend on both x and y. In the process of defining deformations of the background fields that are suitably covariant under these transformations, it turns out to be natural to extend the gauge field A to a gauge field A on the extended (x, y)-space. Similarly, the B, H, and other fields are also extended. The total space of the fibration of the heterotic structures is the Universal Geometry of the title. The extension of gauge fields has been studied in relation to Donaldson theory and monopole moduli spaces. String vacua furnish a richer application of these ideas. One advantage of this point of view is that previously disparate results are unified into a simple tensor formulation. In a previous paper, by three of the present authors, the metric on the moduli space of heterotic theories was derived, correct through O (α′), and it was shown how this was related to a simple Kähler potential. With the present formalism, we are able to rederive the results of this previously long and involved calculation, in less than a page.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Candelas, Philip
de la Ossa, Xenia
Date : February 2019
DOI : 10.1007/JHEP02(2019)038
Copyright Disclaimer : © 2019 The Authors. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Uncontrolled Keywords : Superstring Vacua; Superstrings and Heterotic Strings
Depositing User : Clive Harris
Date Deposited : 05 Mar 2019 09:08
Last Modified : 05 Mar 2019 09:08

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