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On type IIB vacua with varying coupling constant. (English) Zbl 1068.81610

Summary: We describe type IIB compactifications with varying coupling constant in \(d=6, 7, 8, 9\) dimensions, where part of the ten-dimensional SL\((2,\mathbb{Z})\) symmetry is broken by a background with \(\Gamma_1(n)\) or \(\Gamma(n)\) monodromy for \(n=2, 3, 4\). This extends the known class of F-theory vacua to theories which are dual to heterotic compactifications with reduced rank. On compactifying on a further torus, we obtain a description of the heterotic moduli space of \(G\) bundles over elliptically fibered manifolds without vector structure in terms of complex geometries.

MSC:

81T99 Quantum field theory; related classical field theories
14J81 Relationships between surfaces, higher-dimensional varieties, and physics
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