M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions [PDF]
We study a new class of inhomogeneous pp-wave solutions with 8 unbroken supersymmetries in D=11 supergravity. The 9 dimensional transverse space is Euclidean and split into 3 and 6 dimensional subspaces.
Kim, Jongwook +3 more
core +1 more source
On some properties of the linear-invariant family of n-th order
In the work the linear-invariant family n-th order is determined. The omega-operator and the functionals related with it are introduced on this family. Their properties are studied.
Eduardas Kirjackis, Jevgenijus Kirjackis
doaj +3 more sources
Compact weighted composition operators and fixed points in convex domains [PDF]
We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
core +5 more sources
Holomorphic extension of generalizations of Hp functions
In recent analysis we have defined and studied holomorphic functions in tubes in ℂn which generalize the Hardy Hp functions in tubes. In this paper we consider functions f(z), z=x+iy, which are holomorphic in the tube TC=ℝn+iC, where C is the finite ...
Richard D. Carmichael
doaj +1 more source
An exact estimate of the third Hankel determinants for functions inverse to convex functions
Invesigation of bounds for Hankel determinat of analytic univalent functions is prominent intrest of many researcher from early twenth century to study geometric properties.
B. Rath, K. S. Kumar, D. V. Krishna
doaj +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
’t Hooft anomalies and the holomorphy of supersymmetric partition functions
We study the dependence of supersymmetric partition functions on continuous parameters for the flavor symmetry group, G F , for 2d N $$ \mathcal{N} $$ = (0, 2) and 4d N $$ \mathcal{N} $$ = 1 supersymmetric quantum field theories.
Cyril Closset +2 more
doaj +1 more source
Summing up Open String Instantons and N=1 String Amplitudes [PDF]
We compute the instanton expansions of the holomorphic couplings in the effective action of certain $\cx N=1$ supersymmetric four-dimensional open string vacua. These include the superpotential $W(\phi)$, the gauge kinetic function $f(\phi)$ and a series
Mayr, P.
core +2 more sources
Families of singular algebraic varieties that are rationally elliptic spaces
Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley +1 more source
Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces
Let φ be a holomorphic self-map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ-Bloch space are studied in this
Xiangling Zhu
doaj +1 more source

