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
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
HyperK\"ahler quotients and N=4 gauge theories in D=2
We consider certain N=4 supersymmetric gauge theories in D=2 coupled to quaternionic matter multiplets in a minimal way. These theories admit as effective theories sigma-models on non-trivial HyperK\"ahler manifolds obtained as HyperK\"ahler quotients ...
D. Anselmi +20 more
core +1 more source
Effects of additional Higgses in supersymmetric grand unified theories
Abstract We consider modifications of the minimal supersymmetric SU(5) grand unified model. With the additional Higgses 10 + 10 , the theory may be modified so that the proton decays dominantly via the conventional mode p→e+π with the lifetime πp=(0.04-710)×1030yr, and sin2θW=0.222±0.003.
Susumu Sakakibara +2 more
openaire +2 more sources
The Chiral Ring of D=4$D=4$, N=1${\mathcal {N}}=1$ SYM with Exceptional Gauge Groups
Abstract The Cachazo–Douglas–Seiberg–Witten conjecture, concerning the algebraic structure of the chiral ring in N=1${\mathcal {N}}=1$, D=4$D=4$ supersymmetric Yang–Mills theory, is proven for exceptional gauge groups. This completes the proof of the conjecture.
Martin Cederwall, Gabriele Ferretti
wiley +1 more source
One-loop effective action in the % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaWefv3ySLgznfgDOfdarCqr1ngBPrginfgDObYt % UvgaiyGacqWFneVtaaa!4736! $$ \mathcal{N} $$ =2 supersymmetric massive Yang-Mills field theory [PDF]
I. L. Buchbinder, Н. Г. Плетнев
+5 more sources
Dynamical Supersymmetry Breaking and the Linear Multiplet [PDF]
We analyze gaugino condensation in the presence of a dilaton and an antisymmetric tensor field, with couplings reminiscent of string theories. The degrees of freedom relevant to a supersymmetric description of the effective theory below the scale of ...
Adamietz +25 more
core +2 more sources
On holomorphic dependence and infrared effects in supersymmetric gauge theories
Abstract According to general theorems in supersymmetric gauge theories the chiral quantities should depend on the chiral parameters in a holomorphic way. By chiral parameters we mean the complex coefficients in front of the chiral structures such as the mass parameters of the matter fields or the gauge coupling constant.
Mikhail A. Shifman, Arkady Vainshtein
openaire +2 more sources
Effective actions in supersymmetric gauge theories: heat kernels for non-minimal operators [PDF]
Darren T. Grasso, Sergei M. Kuzenko
openalex +1 more source
Holomorphic scalar portals and the OPE
Visible-sector SUSY-breaking effects are computed in terms of hidden-sector correlation functions for generic holomorphic scalar portals. The solutions, which are valid irrespective of the hidden-sector dynamics, are approximated with the help of the ...
Jean-François Fortin +1 more
doaj +1 more source

