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Open AccessEnsemble averages of ℤ2 orbifold classes of Narain CFTs
In this work we study families of ℤ2 orbifolds of toroidal conformal field theories based on both factorizable and non-factorizable target space tori. For these classes of theories, we analyze their moduli spaces...
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Open AccessBPS indices, modularity and perturbations in quantum K-theory
We study a perturbation family of N \( \mathcal{N} \) = 2 3d gauge theories...
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Open AccessDeformations of JT gravity via topological gravity and applications
We study the duality between JT gravity and the double-scaled matrix model including their respective deformations. For these deformed theories we relate the thermal partition function to the generating functi...
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Open AccessWilson loop algebras and quantum K-theory for Grassmannians
We study the algebra of Wilson line operators in three-dimensional N \( \mathcal{N} \) ...
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Open AccessQuantum K-theory of Calabi-Yau manifolds
The disk partition function of certain 3d N = 2 supersymmetric gauge theories computes a quantum K-theoretic ring for Kähler manifolds X. We study the 3d gauge theory/quantum K-theory correspondence for global an...
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Effective Action from M-Theory on Twisted Connected Sum G 2-Manifolds
We study the four-dimensional low-energy effective \({\mathcal{N}=1}\) ...
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SU(N) Transitions in M-Theory on Calabi–Yau Fourfolds and Background Fluxes
We study M-theory on a Calabi–Yau fourfold with a smooth surface S of A N–1 singularities. The resulting three-dimensional theory has a
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A Note on Colored HOMFLY Polynomials for Hyperbolic Knots from WZW Models
Using the correspondence between Chern-Simons theories and Wess-Zumino-Witten models, we present the necessary tools to calculate colored HOMFLY polynomials for hyperbolic knots. For two-bridge hyperbolic knot...
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Knot Invariants from Topological Recursion on Augmentation Varieties
Using the duality between Wilson loop expectation values of SU(N) Chern–Simons theory on S 3 and topological open-string amplitudes on the local mirror of the resolved conifold, we study knots on
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Perturbative Corrections to Kähler Moduli Spaces
We propose a general formula for perturbative-in-α′ corrections to the Kähler potential on the quantum Kähler moduli space of Calabi–Yau n-folds, for any n, in their asymptotic large volume regime. The knowledge ...
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Torus Knots and the Topological Vertex
We propose a class of toric Lagrangian A-branes on the resolved conifold that is suitable to describe torus knots on S 3. The key role is played by the
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Two-Sphere Partition Functions and Gromov–Witten Invariants
Many \({\mathcal{N}=(2,2)}\) N ...
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Nonabelian 2D gauge theories for determinantal Calabi-Yau varieties
The two-dimensional supersymmetric gauged linear sigma model (GLSM) with abelian gauge groups and matter fields has provided many insights into string theory on Calabi-Yau manifolds of a certain type: complete...
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Flat connections in open string mirror symmetry
We study a flat connection defined on the open-closed deformation space of open string mirror symmetry for type II compactifications on Calabi-Yau threefolds with D-branes. We use flatness and integrability co...
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\( \mathcal{N} = {1} \) sigma models in AdS4
We study sigma models in AdS4 with global \( \mathcal{N} = {1} \) supersymmetry and find that they differ significantly...
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Type II/F-theory superpotentials with several deformations and \( \mathcal{N} = 1 \) mirror symmetry
We present a detailed study of D-brane superpotentials depending on several open and closed-string deformations. The relative cohomology group associated with the brane defines a generalized hypergeometric GKZ...
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Effective Superpotentials for Compact D5-Brane Calabi-Yau Geometries
For compact Calabi-Yau geometries with D5-branes we study N = 1 effective superpotentials depending on both open- and closed-string fields. We develop methods to derive the open/closed Picard-Fuchs differential e...
