Supersymmetry, G-flux and Spin(7) manifolds
Bobby Acharya, Sergei Gukov, Xenia de la Ossa
TL;DR
This paper investigates warped M-theory compactifications on Spin(7) manifolds with background fluxes, deriving the superpotential explicitly using Cayley calibration, aligning with previous theoretical proposals.
Contribution
It provides an explicit form of the superpotential for warped compactifications on Spin(7) manifolds with fluxes, confirming theoretical predictions.
Findings
Superpotential expressed via Cayley calibration
Consistency with previous superpotential formulas
Analysis of flux effects on Spin(7) compactifications
Abstract
In this note we study warped compactifications of M-theory on manifolds of Spin(7) holonomy in the presence of background 4-form flux. The explicit form of the superpotential can be given in terms of the self -dual Cayley calibration on the Spin(7) manifold, in agreement with the general formula propsed in hep-th/9911011.
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