320 citations · 995 across the 29 of their papers we have counts for
30 papers
Lattice of 456 semigroup varieties from equations of order up to 4
Bruno Le Floch
We consider the 653 equational laws of order up to 4 for an associative binary operation, and all of their conjunctions. We determine that there are only 456 equivalence classes of…
Finite-energy spacetimes with torus symmetry. Cauchy stability of Einstein-Euler and Einstein-Navier-Stokes areal flows
Bruno Le Floch, Philippe G. LeFloch
We establish finite-energy Cauchy stability for vacuum and matter spacetimes with symmetry on , under general constitutive equations satisfying hyperbolicity and mild as…
Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection
Bruno Le Floch, Philippe G. LeFloch
We study the global evolution problem for the Einstein equations under T2 symmetry on T3, allowing vacuum, scalar-field, and compressible-fluid matter models, governed by a general…
Implication semilattice of 990 quasigroup equational laws
Bruno Le Floch
In his quest to disprove a claim by Peirce that all lattices are distributive, Ernst Schröder considered 135 years ago a list of 990 equational laws on quasigroups, analogous to as…
Convergence of Nekrasov instanton sum with adjoint matter
Bruno Le Floch
The Nekrasov instanton partition function of the 4d gauge theory (a mass deformation of 4d super-Yang-Mills theory), which is a generating…
Scattering laws for interfaces in self-gravitating matter flows
Bruno Le Floch, Philippe G. LeFloch
We consider the evolution of self-gravitating matter fields that may undergo phase transitions, and we connect ideas from phase transition dynamics with concepts from bouncing cosm…
Unleash ! Cohomology, Localization, and Interpolation in Parisi-Sourlas Supersymmetry
Bruno Le Floch, Gela Patashuri, Emilio Trevisani
Parisi-Sourlas supersymmetric models are known to undergo dimensional reduction; that is, their physics is captured by models in two fewer dimensions. In this work, we revisit dime…
Charged massive spin 2 and 3/2 propagation in a constant electromagnetic background
Karim Benakli, Wenqi Ke, Bruno Le Floch
We present two methods for deriving the equations of motion for charged massive spin-3/2 particles. The first approach involves utilizing the Euler-Lagrange equations derived from…
Optimal shielding for Einstein gravity
Bruno Le Floch, Philippe G. LeFloch
To construct asymptotically-Euclidean Einstein's initial data sets, we introduce the localized seed-to-solution method, which projects from approximate to exact solutions of the Ei…
Adjoints in symmetric squares of Lie algebra representations
Bruno Le Floch, Ilia Smilga
*Caveat: we learned post-factum that most of these results are not novel. We are keeping this paper for continuity reasons.* Given finite-dimensional complex representations an…
Optimal localization for the Einstein constraints
Bruno Le Floch, Philippe G. LeFloch
We establish the existence of asymptotically Euclidean solutions, or initial data sets, to Einstein's vacuum constraints exhibiting both gravitational shielding and arbitrarily low…
Mixed moduli in 3d N=4 higher-genus quivers
Ioannis Lavdas, Bruno Le Floch
We analyze exactly marginal deformations of 3d N=4 Lagrangian gauge theories, especially mixed-branch operators with both electric and magnetic charges. These mixed-branch moduli c…
Cyclic spacetimes through singularity scattering maps. Plane-symmetric gravitational collisions
Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano
We study the plane-symmetric collision of two gravitational waves and describe the global spacetime geometry generated by this collision. To this end, we formulate the characterist…
A slow review of the AGT correspondence
Bruno Le Floch
Starting with a gentle approach to the AGT correspondence from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on numerous extensions of the cor…
Universal scattering laws for quiescent bouncing cosmology
Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano
Cosmological bounces occur in many gravity theories. We define singularity scattering maps relating large scale geometries before and after the bounce (assuming no BKL oscillations…
Cyclic spacetimes through singularity scattering maps. The laws of quiescent bounces
Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano
For spacetimes containing quiescent singularity hypersurfaces we propose a general notion of junction conditions based on a prescribed singularity scattering map, as we call it, an…
The range of geometrical frustration in lattice spin models
Pierre Ronceray, Bruno Le Floch
The concept of geometrical frustration in condensed matter physics refers to the fact that a system has a locally preferred structure with an energy density lower than the infinite…
KdV charges in theories and new models with super-Hagedorn behavior
Bruno Le Floch, Márk Mezei
Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the deforma…
Marginal Deformations of 3d N=4 Linear Quiver Theories
Constantin Bachas, Ioannis Lavdas, Bruno Le Floch
We study superconformal deformations of the theories of Gaiotto-Hanany-Witten, paying special attention to mixed-branch operators with both electrically- and m…
Action of Weyl group on zero weight space
Bruno Le Floch, Ilia Smilga
For any simple complex Lie group we classify irreducible finite-dimensional representations for which the longest element of the Weyl group acts nontrivially on the zero…
On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry
Bruno Le Floch, Philippe G. LeFloch
We are interested in the evolution of a compressible fluid under its self-generated gravitational field. Assuming here Gowdy symmetry, we investigate the algebraic structure of the…
AGT/Z
Bruno Le Floch, Gustavo J. Turiaci
We relate Liouville/Toda CFT correlators on Riemann surfaces with boundaries and cross-cap states to supersymmetric observables in four-dimensional N=2 gauge theories. Our construc…
Surface defects and instanton-vortex interaction
A. Gorsky, B. Le Floch, A. Milekhin +1
We propose a simple formula for the 4d-2d partition function of half-BPS surface defects in gauge theories: $Z^{\text{4d-2d}}=\langle Z^{\text{2d}} \rangle_{\…
Intersecting Surface Defects and Two-Dimensional CFT
Jaume Gomis, Bruno Le Floch, Yiwen Pan +1
We initiate the study of intersecting surface operators/defects in four-dimensional quantum field theories (QFTs). We characterize these defects by coupled 4d/2d/0d theories constr…