This Astro-2020 White Paper deals with what we might learn from future gravitational wave observations about the early universe phase transitions and their energy scales, primordial black holes...
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Thursday, 21 March, 2019
We compute tautological integrals over Quot schemes on curves and surfaces. After obtaining several explicit formulas over Quot schemes of dimension 0 quotients on curves (and finding a new...
arXiv:1903.08787
Saturday, 16 March, 2019
We model the Lights Out game on general simple graphs in the framework of linear algebra over the field \mathbb F_2. Based upon a version of the Fredholm alternative, we introduce a separating...
arXiv:1903.06942
Monday, 11 March, 2019
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
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
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
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
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
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
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
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
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