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Monday, 11 March, 2019
Alberto S. Cattaneo, Tatsuro Shimizu

In this note, we revisit the Θ-invariant as defined by R. Bott and the first author. The Θ-invariant is an invariant of rational homology 3-spheres with acyclic orthogonal local systems, which...

arXiv:1903.04386
Thursday, 7 March, 2019
Tarek Anous, Julian Sonner

We use the monodromy method to compute expectation values of an arbitrary number of light operators in finitely excited ("heavy") eigenstates of holographic 2D CFT. For eigenstates with scaling...

arXiv:1903.03143
Friday, 1 March, 2019
Simone Rademacher, Benjamin Schlein

We consider a Bose gas trapped in the unit torus in the Gross-Pitaevskii regime. In the ground state, we prove that fluctuations of bounded one-particle observables satisfy a central limit...

arXiv:1903.00365
Friday, 1 March, 2019
Pranjal Nayak, Julian Sonner, Manuel Vielma

The Sachdev-Ye-Kitaev (SYK) model provides an uncommon example of a chaotic theory that can be analysed analytically. In the deep infrared limit, the original model has an emergent conformal (...

arXiv:1903.00478
Friday, 1 March, 2019
Lorenz Eberhardt, Matthias R. Gaberdiel

For string theory on AdS3 with pure NS-NS flux a complete set of DDF operators is constructed, from which one can read off the symmetry algebra of the spacetime CFT. Together with an analysis of...

arXiv:1903.00421
Monday, 25 February, 2019
Debasish Banerjee, Shailesh Chandrasekharan, Domenico Orlando, Susanne Reffert

We study the O(4) Wilson-Fisher fixed point in 2+1 dimensions in fixed large-charge sectors identified by products of two spin-j representations (j_L, j_R). Using effective field theory we...

arXiv:1902.09542
Friday, 22 February, 2019
Yoan Emery, Marcos Marino, Massimiliano Ronzani

In the correspondence between spectral problems and topological strings, it is natural to consider complex values for the string theory moduli. In the spectral theory side, this corresponds to...

arXiv:1902.08606
Wednesday, 20 February, 2019
Dario Cordero-Erausquin, Alessio Figalli

The regularity of monotone transport maps plays an important role in several applications to PDE and geometry. Unfortunately, the classical statements on this subject are restricted to the case...

arXiv:1902.07621
Friday, 15 February, 2019
Adam Falkowski, Riccardo Rattazzi

We classify effective field theory (EFT) deformations of the Standard Model (SM) according to the analyticity property of the Lagrangian as a function of the Higgs doublet H. Our distinction in...

arXiv:1902.05936
Friday, 15 February, 2019
Denis Karateev, Petr Kravchuk, Marco Serone, Alessandro Vichi

We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE coefficients...

arXiv:1902.05969
Thursday, 14 February, 2019
Chiara Camere, Alberto Cattaneo, Andrea Cattaneo

We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a K3 surface and admitting a non-symplectic involution. We classify the possible...

arXiv:1902.05397
Wednesday, 13 February, 2019
Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko, Maryna Viazovska

We prove that the E8 root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions 8 and 24, respectively. In other words,...

arXiv:1902.05438

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