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A well known description of superradiance from pointlike collections of many atoms involves the dissipative motion of a large spin. The pertinent ``superradiance master equation'' allows for a formally exact solution which we subject to a…

Optics · Physics 2009-10-31 Petr A. Braun , Daniel Braun , Fritz Haake , Joachim Weber

In this article, we construct two-dimensional integrable and superintegrable sys- tems in terms of the master function formalism and relate them to Mielnik;s and Marquette;s construction in supersymmetric quantum mechanics. For two diferent…

Mathematical Physics · Physics 2017-10-13 Z. Alizadeh , H. Panahi

We present D=3 and D=4 models for massive particles moving in a new type of enlarged spacetime, with D-1 additional vector coordinates, which after quantization lead to the towers of massive higher spin (HS) free fields. Two classically…

High Energy Physics - Theory · Physics 2015-03-12 J. A. de Azcarraga , S. Fedoruk , J. M. Izquierdo , J. Lukierski

The most general 2+1 dimensional spinning particle model is considered. The action functional may involve all the possible first order Poincare invariants of world lines, and the particular class of actions is specified thus the…

High Energy Physics - Theory · Physics 2007-05-23 K. B. Alkalaev , S. L. Lyakhovich

We give an action for the massless spinning particle in pseudoclassical mechanics by using grassmann variables. The constructed action is invariant under $\tau $-reparametrizations, local SUSY and O(N) transformations. After quantization,…

High Energy Physics - Theory · Physics 2018-09-05 R. Casana , M Pazetti , B. M. Pimentel , J. S. Valverde

The full low energy effective action of N=4 SYM is believed to be self-dual. Starting with the first two leading terms in a momentum expansion of this effective action, we perform a duality transformation and find the conditions for…

High Energy Physics - Theory · Physics 2009-10-31 F. Gonzalez-Rey , B. Kulik , I. Y. Park , M. Rocek

We suggest a new spin-4 self-dual model (parity singlet) and a new spin-4 parity doublet in $D=2+1$. They are of higher order in derivatives and are described by a totally symmetric rank-4 tensor without extra auxiliary fields. Despite the…

High Energy Physics - Theory · Physics 2021-11-10 D. Dalmazi , A. L. R. dos Santos

Starting with a manifestly conformal ($O(d,2)$ invariant) mechanics model in $d$ space and 2 time dimensions, we derive the action for a massless spinning particle in $d$-dimensional anti-de Sitter space. The action obtained possesses both…

High Energy Physics - Theory · Physics 2015-06-26 S. M. Kuzenko , J. V Yarevskaya

It is known that the Maxwell theory in $D$ dimensions can be written in a first order form (in derivatives) by introducing a totally antisymmetric field which leads to a $(D-3)$-form dual theory. Remarkably, one can replace the…

High Energy Physics - Theory · Physics 2011-09-19 D. Dalmazi , R. C. Santos

We derive a new representation for spin-spin correlation functions of the finite XXZ spin-1/2 Heisenberg chain in terms of a single multiple integral, that we call the master equation. Evaluation of this master equation gives rise on the…

High Energy Physics - Theory · Physics 2009-11-10 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

In this paper we investigate electromagnetic interactions for massive spin 2 particles in (A)dS space at linear approximation using gauge invariant description for such massive particles. We follow bottom-up approach, i.e. we begin with the…

High Energy Physics - Theory · Physics 2009-09-28 Yu. M. Zinoviev

Using effective field theory techniques we compute the next to leading order Spin(1)Spin(1) terms in the potential of spinning compact objects at third Post-Newtonian order, including sub-leading self-induced finite size effects. This…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Rafael A. Porto , Ira Z. Rothstein

We present a first order formulation for the fourth order action of the new massive dual gravity in four dimensions. This proposal is easily generalized to arbitrary dimension. Also, we obtain the dual actions for massless and massive…

High Energy Physics - Theory · Physics 2013-07-09 Alexangel Bracho , Adel Khoudeir

We dimensionally reduce the ABJM model, obtaining a two-dimensional theory that can be thought of as a 'master action'. This encodes information about both T- and S-duality, i.e. describes fundamental (F1) and D-strings (D1) in 9 and 10…

High Energy Physics - Theory · Physics 2011-07-18 Horatiu Nastase , Constantinos Papageorgakis

There is a close relation between classical supergravity and quantum SYM descriptions of interactions between separated branes. In the case of D3 branes, the equivalence of leading-order potentials is due to non-renormalization of the F^4…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin , K. Zarembo

We overcome the barrier of constructing N=4 superconformal models in one space dimension for more than three particles. The D(2,1;alpha) superalgebra of our systems is realized on the coordinates and momenta of the particles, their…

High Energy Physics - Theory · Physics 2012-02-09 Sergey Krivonos , Olaf Lechtenfeld

The present paper considers some classical ferromagnetic lattice--gas models, consisting of particles that carry $n$--component spins ($n=2,3$) and associated with a $D$--dimensional lattice ($D=2,3$); each site can host one particle at…

Statistical Mechanics · Physics 2007-05-23 H Chamati , S Romano

We present self-dual spin-3 and 4 actions using relevant dreibein fields. since these actions start with a Chern-Simons like kinetic term (and therefore cannot be obtained through dimensional reduction) one might wonder whether they need…

High Energy Physics - Theory · Physics 2007-05-23 C. Aragone , A. Khoudeir

The self-duality of the N=1 supersymmetric Born--Infeld action implies a double self-duality of the tensor multiplet square-root action when the scalar and the antisymmetric tensor are interchanged via Poincare' duality. We show how this…

High Energy Physics - Theory · Physics 2015-06-11 S. Ferrara , A. Sagnotti , A. Yeranyan

The use of master actions to prove duality at quantum level becomes cumbersome if one of the dual fields interacts nonlinearly with other fields. This is the case of the theory considered here consisting of U(1) scalar fields coupled to a…

High Energy Physics - Theory · Physics 2009-11-11 D. Dalmazi , Elias L. Mendonca