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We study the conditions to have supersymmetric D-branes on general {\cal N}=1 backgrounds with Ramond-Ramond fluxes. These conditions can be written in terms of the two pure spinors associated to the SU(3)\times SU(3) structure on T_M\oplus…

High Energy Physics - Theory · Physics 2009-11-11 Luca Martucci , Paul Smyth

Let $\Omega$ be an operator semigroup with generator $A$ in a sequentially complete locally convex topological vector space $E$. For a semigroup with generator $A+D$, where $D$ is a bounded linear operator on $E$, two integral equations are…

Functional Analysis · Mathematics 2007-06-20 A. Yurachkivsky , A. Zhugayevych

We derive manifestly covariant actions of spinning particles starting from coadjoint orbits of isometry groups, by using Hamiltonian reductions. We show that the defining conditions of a classical Lie group can be treated as Hamiltonian…

High Energy Physics - Theory · Physics 2024-10-25 Thomas Basile , Euihun Joung , TaeHwan Oh

We study the most general supersymmetric warped M-theory backgrounds with non-trivial G-flux of the type R^{1,2} x M_8 and AdS_3 x M_8. We give a set of necessary and sufficient conditions for preservation of supersymmetry which are phrased…

High Energy Physics - Theory · Physics 2010-11-19 Dario Martelli , James Sparks

A semigroup is completely simple if it has no proper ideals and contains a primitive idempotent. We say that a completely simple semigroup $S$ is a homogeneous completely simple semigroup if any isomorphism between finitely generated…

Rings and Algebras · Mathematics 2019-10-23 Thomas Quinn-Gregson

This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role can play the consideration of an…

Group Theory · Mathematics 2019-07-16 Jorge Almeida , Ondřej Klíma

Restriction is a natural quasi-order on $d$-way tensors. We establish a remarkable aspect of this quasi-order in the case of tensors over a fixed finite field -- namely, that it is a well-quasi-order: it admits no infinite antichains and no…

Algebraic Geometry · Mathematics 2025-09-03 Andreas Blatter , Jan Draisma , Filip Rupniewski

Let $[n]$ be a finite chain $\{1, 2, \ldots, n\}$, and let $\mathcal{LS}_{n}$ be the semigroup consisting of all isotone and order-decreasing partial transformations on $[n]$. Moreover, let $\mathcal{SS}_{n} = \{\alpha \in \mathcal{LS}_{n}…

Group Theory · Mathematics 2024-12-19 Muhammad Mansur Zubairu , Abdullahi Umar , Fatma Salim Al-Kharousi

It is shown that the Ellis semigroup of a $\mathbb Z$-action on a compact totally disconnected space is completely regular if and only if forward proximality coincides with forward asymptoticity and backward proximality coincides with…

Dynamical Systems · Mathematics 2020-11-16 Marcy Barge , Johannes Kellendonk

An explicit sufficient condition on the hypercontractivity is derived for the Markov semigroup associated to a class of functional stochastic differential equations. Consequently, the semigroup $P_t$ converges exponentially to its unique…

Probability · Mathematics 2014-09-19 Jianhai Bao , Feng-Yu Wang , Chenggui Yuan

The concept of an adequate transversal of an abundant semigroup was introduced by El-Qallali in [8] whilst in [7], he and Fountain initiated the study of quasi-adequate semigroups as natural generalisations of orthodox semigroups. In this…

Group Theory · Mathematics 2010-03-23 Jehan Al-Bar , James Renshaw

In this article we extend a euclidean result of David and Semmes to the Heisenberg group by giving a sufficient condition for a $k$-Ahlfors-regular subset to have big pieces of bilipschitz images of subsets of $\R^k$. This Carleson type…

Differential Geometry · Mathematics 2012-12-05 Immo Hahlomaa

Consensus is a well-studied problem in distributed sensing, computation and control, yet deriving useful and easily computable bounds on the rate of convergence to consensus remains a challenge. This paper discusses the use of seminorms for…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Ron Ofir , Ji Liu , A. Stephen Morse , Brian D. O. Anderson

We study elliptic and parabolic problems governed by the singular elliptic operators \begin{align*} \mathcal L=y^{\alpha_1}\mbox{Tr }\left(QD^2_xu\right)+2y^{\frac{\alpha_1+\alpha_2}{2}}q\cdot \nabla_xD_y+\gamma y^{\alpha_2}…

Analysis of PDEs · Mathematics 2024-05-17 Giorgio Metafune , Luigi Negro , Chiara Spina

Let V be a normal affine variety over the real numbers R, and let S be a semi-algebraic subset of V(R). We study the subring B(S) of the coordinate ring of V consisting of the polynomials that are bounded on S. We introduce the notion of…

Algebraic Geometry · Mathematics 2010-07-30 Daniel Plaumann , Claus Scheiderer

Stimulated by the category theorems of Eisner and Ser\'eny in the setting of unitary and isometric $C_0$-semigroups on separable Hilbert spaces, we prove category theorems for Schr\"odinger semigroups. Specifically, we show that, to a given…

Spectral Theory · Mathematics 2019-12-02 Moacir Aloisio , Silas L. Carvalho , César R. de Oliveira

We study substructures of the Weyl group of conformal transformations of the metric of (pseudo)Riemannian manifolds. These substructures are identified by differential constraints on the conformal factors of the transformations which are…

High Energy Physics - Theory · Physics 2024-07-10 Riccardo Martini , Gregorio Paci , Dario Sauro , Gian Paolo Vacca , Omar Zanusso

Let $\mathcal{PMD}_{n}$ be the semigroup consisting of all monotone and order-decreasing partial transformations, and let $\mathcal{IMD}_{n}$ be the subsemigroup of $\mathcal{PMD}_{n}$ consisting of all injective monotone and…

Rings and Algebras · Mathematics 2026-01-26 Gonca Ayık , Hayrullah Ayık , Ilinka Dimitrova , Jörg Koppitz

We generalize the notion of semi-normalized classes of systems of differential equations, study properties of such classes and extend the algebraic method of group classification to them. In particular, we prove the important theorems on…

Mathematical Physics · Physics 2024-09-02 Celestin Kurujyibwami , Dmytro R. Popovych , Roman O. Popovych

This paper is a sequel to our paper Rev. Mat. Iberoam. 32 (2016), no. 1, 79-174. Let T be a standard fractional Calderon Zygmund operator. Assume appropriate Muckenhoupt and quasienergy side conditions. Then we show that T is bounded from…

Classical Analysis and ODEs · Mathematics 2016-04-19 Eric T. Sawyer , Chun-Yen Shen , Ignacio Uriarte-Tuero