D-instantons and twistors
By S. Alexandrov, B. Pioline, Frank Saueressig, S. Vandoren. 2008
321 citations recorded by the source corpus.
Finding the exact, quantum corrected metric on the hypermultiplet moduli space in Type II string compactifications on Calabi-Yau threefolds still poses an outstanding open problem. We address this issue by relating the quaternionic-Kahler metric on the hypermultiplet moduli space to the complex contact geometry on its twistor space. In this framework, Euclidean D-brane instanton contributions are captured by contact transformations between different locally flat patches. We derive those by recasting the previously known A-type D2-instanton corrections in the language of contact geometry, covariantizing the result under electro-magnetic duality, and using mirror symmetry. As a result, we are able to express the effects of all D-instantons in Type II compactifications concisely as a sum of dilogarithm functions. We conclude with some comments on the relation to microscopic degeneracies of four-dimensional BPS black holes and to the wall-crossing formula of Kontsevich and Soibelman, and on the form of the yet unknown NS5-brane instanton contributions.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1853b0ac28335f71175579c4b90d80ae01b43b17
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Wall crossing from Boltzmann black hole halos (2010, background): “The rational invariants Ω̄ also arose in constructions of modular invariant black hole partition functions consistent with wall-crossing [28, 29, 30], and in studies of D-brane instanton corrections to the hypermultiplet moduli space metric [17, 31, 32].”
- d-Brane Instantons in Type II Orientifolds (2009, background): “Recent progress in determining instanton corrections to the hypermultiplet moduli space includes [83] (for Type IIB) and [84, 85, 86, 87, 88] (for Type IIA).”