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Spectral Distribution of Twisted Laplacian on Typical Hyperbolic Surfaces of High Genus
We investigate the spectral distribution of the twisted Laplacian associated with uniform square-integrable bounded harmonic 1-form on typical...
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Universal asymptotics for high energy CFT data
Equilibrium finite temperature observables of a CFT can be described by a local effective action for background fields — a “thermal effective...
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Harmonic analysis of 2d CFT partition functions
We apply the theory of harmonic analysis on the fundamental domain of SL(2 , ℤ) to partition functions of two-dimensional conformal field theories. We...
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Second-harmonic generation and the conservation of spatiotemporal orbital angular momentum of light
Light with spatiotemporal orbital angular momentum (ST-OAM) is a recently discovered type of structured and localized electromagnetic field. This...
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GV-spectroscopy for F-theory on genus-one fibrations
We present a novel technique to obtain base independent expressions for the matter loci of fibrations of complete intersection Calabi-Yau onefolds in...
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Coaction and double-copy properties of configuration-space integrals at genus zero
We investigate configuration-space integrals over punctured Riemann spheres from the viewpoint of the motivic Galois coaction and double-copy...
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D7 moduli stabilization: the tadpole menace
D7-brane moduli are stabilized by worldvolume fluxes, which contribute to the D3-brane tadpole. We calculate this contribution in the Type IIB limit...
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Wilson loops and wormholes
We analyse the properties of Wilson loop observables for holographic gauge theories, when the dual bulk geometries have a single and/or multiple...
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Computational Mirror Symmetry
We present an efficient algorithm for computing the prepotential in compactifications of type II string theory on mirror pairs of Calabi-Yau...
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Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities
We calculate the generating functions of BPS indices using their modular properties in Type II and M-theory compactifications on compact genus one...
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Integrating three-loop modular graph functions and transcendentality of string amplitudes
Modular graph functions (MGFs) are SL(2 , ℤ)-invariant functions on the Poincaré upper half-plane associated with Feynman graphs of a conformal scalar...
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Scalar modular bootstrap and zeros of the Riemann zeta function
Using the technology of harmonic analysis, we derive a crossing equation that acts only on the scalar primary operators of any two-dimensional...
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Two-loop supergravity on AdS5×S5 from CFT
We describe a construction of the two-loop amplitude of four graviton supermultiplets in AdS 5 × S 5 . We start from an ansatz for a preamplitude from...
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The perturbative CFT optical theorem and high-energy string scattering in AdS at one loop
We derive an optical theorem for perturbative CFTs which computes the double discontinuity of conformal correlators from the single discontinuities...
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Non-Gaussianities in the statistical distribution of heavy OPE coefficients and wormholes
The Eigenstate Thermalization Hypothesis makes a prediction for the statistical distribution of matrix elements of simple operators in energy...
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Analytic periods via twisted symmetric squares
We study the symmetric square of Picard-Fuchs operators of genus one curves and the thereby induced generalized Clausen identities. This allows the...
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Charged Rényi negativity of massless free bosons
In this paper, we consider the computation of charged moments of the reduced density matrix of two disjoint intervals in the 1+1 dimensional free...
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Introduction
In classical mechanics a well defined concept of integrability exists which is related to the Hamiltonian description of mechanics. If the phase...
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Meromorphic modular forms and the three-loop equal-mass banana integral
We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in...