Heterotic -Theory Hidden Sectors with an Anomalous Gauge Symmetry
arXiv:2109.13781
Abstract
The hidden sector of heterotic -theory vacua whose gauge bundle contains an anomalous factor is discussed in detail. The mathematical formalism for computing the inhomogeneous transformation of the dilaton and Kähler moduli axions under an anomalous transformation is presented. Along with matter multiplets, which transform homogeneously under , the relevant part of the invariant low energy hidden sector Lagrangian is presented and analyzed. A detailed mathematical formalism is given for rotating these field to a new basis of chiral superfields with normalized kinetic energy and a diagonal mass matrix. It is shown that the scalar and fermionic components of one such chiral superfield give rise to a massive vector superfield, whose mass is composed of both anomalous and Higgs contributions associated with the inhomogeneous and homogeneous transformations respectively. Two explicit examples are presented, with vanishing and non-zero Fayet-Iliopoulos term respectively. The canonically normalized hidden sector Lagrangian given here is restricted to gauge interactions only. A study of higher order interactions of the moduli and matter multiplets, as well as the coupling to supergravity, will be presented elsewhere.
47 pages, extended the analysis to include the five-brane brane contribution
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