nLab
heterotic line bundle

Contents

Context

String theory

Bundles

Contents

Idea

If the gauge-complex vector bundle in a heterotic string theory vacuum has reduction of the structure group to an abelian group of the form

S(U(1) n)SU(n)E 82n5 S\big( U(1)^n \big) \;\subset\; SU(n) \; \subset\; E_8 \;\;\;\;\; 2 \leq n \leq 5

(the direct product group of (n1)(n-1)-copies of the circle group, regarded as a diagonal subgroup of SU(n) and thus of E8)

it is called a heterotic line bundle in Anderson-Gray-Lukas-Palti 11.

Considering these models has led to a little revolution in heterotic string phenomenology (Anderson-Gray-Lukas-Palti 12).

In the observable sector of heterotic M-theory the values n=4,5n = 4,5 lead to good phenomenology, while for the hidden sector the value n=2n = 2 is used (in ADO 20a, Sec. 4.2, ADO 20a, Sec. 2.2).

References

Heterotic line bundle models were first considered in

The resulting scan of SU(5) GUT vacua among heterotic line bundle models:

Review:

On heterotic line bundles in the hidden sector of heterotic M-theory:

On heterotic line bundles seen in F-theory under duality between M/F-theory and heterotic string theory:

See also:

Similar discussion in SemiSpin(32)-heterotic string theory:

  • Hajime Otsuka, SO(32)SO(32) heterotic line bundle models, JHEP 05 (2018) 045 (arXiv:1801.03684)

Last revised on October 15, 2021 at 04:53:44. See the history of this page for a list of all contributions to it.