Results 81 to 90 of about 22,768 (250)
An angular dependent supersymmetric quantum mechanics with a Z2-invariant potential
We generalize the conformally invariant topological quantum mechanics of a particle propagating on a punctured plane by introducing a potential that breaks both the rotational and the conformal invariance down to a Z2 angular-dependent discrete symmetry.
Laurent Baulieu, Francesco Toppan
doaj +1 more source
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices
Abstract We consider N×N$N\times N$ non‐Hermitian random matrices of the form X+A$X+A$, where A$A$ is a general deterministic matrix and NX$\sqrt {N}X$ consists of independent entries with zero mean, unit variance, and bounded densities. For this ensemble, we prove (i) a Wegner estimate, that is, that the local density of eigenvalues is bounded by N1+o(
László Erdős, Hong Chang Ji
wiley +1 more source
More on homological supersymmetric quantum mechanics [PDF]
29 pages, 13 figures. v3 Improved version, more references added, conclusions added, typos fixed, accepted for publication in ...
openaire +3 more sources
Bosonic quantum field theories with holomorphic action functionals are realized by two types of constructions involving supersymmetric quantum field theories, compactified on an interval in one type and compactified on a disk and deformed in the other ...
Nafiz Ishtiaque, Junya Yagi
doaj +1 more source
Hyperconfluent third-order supersymmetric quantum mechanics
The hyperconfluent third-order supersymmetric quantum mechanics, in which all the factorization energies tend to a common value, is analyzed. It will be shown that the final potential as well can be achieved by applying consecutively a confluent second ...
C, David J Fernandez+1 more
core +1 more source
Link splitting deformation of colored Khovanov–Rozansky homology
Abstract We introduce a multiparameter deformation of the triply‐graded Khovanov–Rozansky homology of links colored by one‐column Young diagrams, generalizing the “y$y$‐ified” link homology of Gorsky–Hogancamp and work of Cautis–Lauda–Sussan. For each link component, the natural set of deformation parameters corresponds to interpolation coordinates on ...
Matthew Hogancamp+2 more
wiley +1 more source
Abstract We construct a family of solvable lattice models whose partition functions include p$p$‐adic Whittaker functions for general linear groups from two very different sources: from Iwahori‐fixed vectors and from metaplectic covers. Interpolating between them by Drinfeld twisting, we uncover unexpected relationships between Iwahori and metaplectic ...
Ben Brubaker+3 more
wiley +1 more source
Supersymmetric variational energies for the confined Coulomb system [PDF]
The methodology based on the association of the Variational Method with Supersymmetric Quantum Mechanics is used to evaluate the energy states of the confined hydrogen atom.Comment: 9 pages, Latex, version to appear in Phys. Lett.
Chuu+25 more
core +2 more sources
The Spectrum of Sl(2, R)/U(1) Black Hole Conformal Field Theory
We study string theory in the background of a two-dimensional black hole which is described by an $SL(2, R)/U(1)$ coset conformal field theory. We determine the spectrum of this conformal field theory using supersymmetric quantum mechanics and give an ...
Bardacki+32 more
core +2 more sources
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley +1 more source