Membrane instantons from a semiclassical TBA

Membrane instantons from mirror symmetry

We use mirror symmetry to determine and sum up a class of membrane instanton corrections to the hypermultiplet moduli space metric arising in Calabi–Yau threefold compactifications of type IIA strings. These corrections are mirror to the D1 and D(−1)–brane instantons on the IIB side and are given explicitly in terms of a single function in projective superspace. The corresponding four-dimension...

Membrane and fivebrane instantons from quaternionic geometry

We determine the one-instanton corrections to the universal hypermultiplet moduli space coming both from Euclidean membranes and NS-fivebranes wrapping the cycles of a (rigid) Calabi-Yau threefold. These corrections are completely encoded by a single function characterizing a generic four-dimensional quaternion-Kähler metric without isometries. We give explicit solutions for this function descr...

Superpotentials and Membrane Instantons

We investigate nonperturbative effects in M -theory compactifications arising from wrapped membranes. In particular, we show that in d = 4,N = 1 compactifications along manifolds of G2 holonomy, membranes wrapped on rigid supersymmetric 3-cycles induce nonzero corrections to the superpotential. Thus, membrane instantons destabilize manyM -theory compactifications. Our computation shows that the...

Non-Perturbative Superpotential from Membrane Instantons in Heterotic M-Theory

A formalism for calculating the open supermembrane contribution to the non-perturbative superpotential of moduli in heterotic M-theory is presented. This is explicitly applied to the Calabi-Yau (1, 1)-moduli and the separation modulus of the end-of-the-world BPS threebranes, whose non-perturbative superpotential is computed. The role of gauge bundles on the boundaries of the open supermembranes...

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