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Mellin–Barnes Representation of the Topological String
We invoke integrals of Mellin–Barnes type to analytically continue the Gopakumar–Vafa resummation of the topological string free energy in the string...
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Airy Equation for the Topological String Partition Function in a Scaling Limit
We use the polynomial formulation of the holomorphic anomaly equations governing perturbative topological string theory to derive the free energies...
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Axiomatic Conformal Theory in Dimensions >2 and AdS/CT Correspondence
We formulate axioms of conformal theory (CT) in dimensions >2 modifying Segal’s axioms for two-dimensional CFT. (In the definition of...
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Octonions, Monopoles, and Knots
Witten’s approach to Khovanov homology of knots is based on the five-dimensional system of partial differential equations, which we call...
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K3 Surfaces, Modular Forms, and Non-Geometric Heterotic Compactifications
We construct non-geometric compactifications using the F-theory dual of the heterotic string compactified on a two-torus, together with a close...
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How to Find the Holonomy Algebra of a Lorentzian Manifold
Manifolds with exceptional holonomy play an important role in string theory, supergravity and M-theory. It is explained how one can find the holonomy...
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Remarks on Positive Energy Vacua via Effective Potentials in String Theory
We study warped compactifications of string/M theory with the help of effective potentials, continuing previous work of the last two authors and...
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T-Duality for Orientifolds and Twisted KR-Theory
D-brane charges in orientifold string theories are classified by the KR-theory of Atiyah. However, this is assuming that all O -planes have the same...
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From Hurwitz Numbers to Kontsevich–Witten Tau-Function: A Connection by Virasoro Operators
In this letter, we present our conjecture on the connection between the Kontsevich–Witten and the Hurwitz tau-functions. The conjectural formula...
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Boundary Coupling of Lie Algebroid Poisson Sigma Models and Representations up to Homotopy
A general form for the boundary coupling of a Lie algebroid Poisson sigma model is proposed. The approach involves using the Batalin–Vilkovisky...
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Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
We review the spectral curve for the classical string in AdS 5 × S 5 . Classical integrability of the AdS 5 × S 5 string implies the existence of a...
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Review of AdS/CFT Integrability: An Overview
This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection, we present...
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Review of AdS/CFT Integrability, Chapter III.5: Lüscher Corrections
In integrable quantum field theories, the large volume spectrum is given by the Bethe Ansatz. The leading corrections, due to virtual particles...
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Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
We review the computation of scattering amplitudes of planar maximally super-symmetric Yang–Mills at strong coupling. By using the AdS / CFT duality...
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Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
The aim of the chapter is to introduce in a pedagogical manner the concept of Thermodynamic Bethe Ansatz designed to calculate the energy levels of...
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Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5 × S5
We review the semiclassical analysis of strings in AdS 5 × S 5 with a focus on the relationship to the underlying integrable structures. We discuss the...