beta$ symmetry of heterotic supergravity
The low energy effective action describing the Kaluza-Klein reduction of string theory on a $d$-torus possesses a continuous O($d, d$) global symmetry. The non-geometric piece of this symmetry, parameterized by a bi-vector $\beta$, was recently shown to effectively act as a hidden symmetry on the ma...
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Zusammenfassung: | The low energy effective action describing the Kaluza-Klein reduction of
string theory on a $d$-torus possesses a continuous O($d, d$) global symmetry.
The non-geometric piece of this symmetry, parameterized by a bi-vector $\beta$,
was recently shown to effectively act as a hidden symmetry on the massless RR
and universal NSNS fields of the ten dimensional parent theory, fixing their
couplings. Here we extend the analysis of this symmetry to the massless gauge
and fermion fields of heterotic supergravity. While the interactions of the
boson fields are univocally fixed by $\beta$ symmetry, we find four bilinear
and two quartic $\beta$ invariant combinations of fermions whose relative
coefficients in the action must be determined by supersymmetry. Although not
fully fixed, bilinear and quartic fermion couplings are strongly restricted by
$\beta$ symmetry at leading order in $\alpha'$. |
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DOI: | 10.48550/arxiv.2410.17067 |