Geometries, non-geometries, and fluxes. (English) Zbl 1241.81134

McOrist, Jock; Morrison, David R.; Sethi, Savdeep

Adv. Theor. Math. Phys. 14, No. 5, 1515-1583 (2010).

Summary: Using F-theory/heterotic duality, we describe a framework for analyzing non-geometric \(T_2\)-fibered heterotic compactifications to six- and four dimensions. Our results suggest that among \(T_2\)-fibered heterotic string vacua, the non-geometric compactifications are just as typical as the geometric ones. We also construct four-dimensional solutions that have novel type-IIB and \(M\)-theory dual descriptions. These duals are non-geometric with three- and four-form fluxes not of \((2, 1)\) or \((2, 2)\) Hodge type, respectively, and yet preserve at least \(N = 1\) supersymmetry.

MSC:

81T30	String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T60	Supersymmetric field theories in quantum mechanics

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