4 papers
Black holes and dualities in string theory compactifications
Khalil Bendriss
This thesis addresses three problems arising in type II string theory compactified on a Calabi-Yau manifold. In the first one we study the hypermultiplet moduli space (HM), by work…
Quantum TBA for refined BPS indices
Sergei Alexandrov, Khalil Bendriss
Refined BPS indices give rise to a quantum Riemann-Hilbert problem that is inherently related to a non-commutative deformation of moduli spaces arising in gauge and string theory c…
Mock modularity of Calabi-Yau threefolds
Sergei Alexandrov, Khalil Bendriss
Generating functions of D4-D2-D0 BPS indices, appearing in Calabi-Yau compactifications of type IIA string theory and identical to rank 0 Donaldson-Thomas invariants, are…
Hypermultiplet metric and NS5-instantons
Sergei Alexandrov, Khalil Bendriss
The metric on the hypermultiplet moduli space of Calabi-Yau compactifications of type II string theory is known to receive D-brane and NS5-brane instanton corrections. We compute e…