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Compactifications of the heterotic string with unitary bundles
Author(s) -
Weigand T.
Publication year - 2006
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200610327
Subject(s) - heterotic string theory , physics , theoretical physics , unitary state , string (physics) , gauge group , particle physics , pure mathematics , gauge theory , mathematics , political science , law
Abstract We describe a large new class of four‐dimensional supersymmetric string vacua defined as compactifications of the E 8 × E 8 and the SO (32) heterotic string on smooth Calabi‐Yau threefolds with unitary gauge bundles and heterotic five‐branes. The conventional gauge symmetry breaking via Wilson lines is replaced by the embedding of non‐flat line bundles into the ten‐dimensional gauge group, thus opening up the way for phenomenologically interesting string compactifications on simply connected manifolds. After a detailed analysis of the four‐dimensional effective theory we exemplify the general framework by means of a couple of explicit examples involving the spectral cover construction of stable holomorphic bundles. As for the SO (32) heterotic string, the resulting vacua can be viewed, in the S‐dual Type I picture, as a generalisation of magnetized D9/D5‐brane models. In the case of the E 8 × E 8 string, we find a natural way to construct realistic MSSM‐like models, either directly or via a flipped SU (5) GUT scenario.