Results 41 to 50 of about 3,097 (85)
Exact Superpotentials in Four Dimensions
, 1994 Supersymmetric gauge theories in four dimensions can display interesting non-perturbative phenomena. Although the superpotential dynamically generated by these phenomena can be highly nontrivial, it can often be exactly determined.
A. C. Davis +16 more
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Classification of positive energy representations of the Virasoro group [PDF]
, 2014 We give a complete classification of all positive energy unitary representations of the Virasoro group. More precisely, we prove that every such representation can be expressed in an essentially unique way as a direct integral of irreducible highest ...
Neeb, Karl-Hermann, Salmasian, Hadi
core +3 more sources
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
Explicit improvements for Lp$\mathrm{L}^p$‐estimates related to elliptic systems
Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 914-930, March 2024.Abstract We give a simple argument to obtain Lp$\mathrm{L}^p$‐boundedness for heat semigroups associated to uniformly strongly elliptic systems on Rd$\mathbb {R}^d$ by using Stein interpolation between Gaussian estimates and hypercontractivity. Our results give p$p$ explicitly in terms of ellipticity. It is optimal at the endpoint p=∞$p=\infty$.
Tim Böhnlein, Moritz Egert
wiley +1 more source
An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications
Mathematische Nachrichten, Volume 297, Issue 2, Page 454-481, February 2024.Abstract In this paper, we extend notions of complex C−R$\mathbb {C} - \mathbb {R}$‐calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case. Applications of this theory include two bicomplex least mean square algorithms, which extend classical real and complex least mean square algorithms.
Daniel Alpay, Kamal Diki, Mihaela Vajiac
wiley +1 more source
Large linear manifolds of non-continuable boundary-regular holomorphic functions [PDF]
, 2008 We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions then there exists a large (dense or closed infinite-dimensional) linear submanifold of boundary-regular holomorphic functions on G
Bernal González, Luis +2 more
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Uniformization of strictly pseudoconvex domains
, 2004 It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent.
Nemirovski, Stefan, Shafikov, Rasul
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Linear Kierst-Szpilrajn theorems [PDF]
, 2005 We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There exist a dense linear manifold and a
Bernal González, Luis
core
Exact Results in Gauge Theories: Putting Supersymmetry to Work. The 1999 Sakurai Prize Lecture
, 1999 Powerful methods based on supersymmetry allow one to find exact solutions to certain problems in strong coupling gauge theories. The inception of some of these methods (holomorphy in the gauge coupling and other chiral parameters, in conjunction with ...
Arkani-Hamed N. +14 more
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Localized versions of function spaces and generic results
, 2018 We consider generalizations of classical function spaces by requiring that a holomorphic in ${\Omega}$ function satisfies some property when we approach from ${\Omega}$, not the whole boundary, but only a part of it.
Lygkonis, Dimitris, Nestoridis, Vassilis
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