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Geometric structures underlying commutative and non commutative integrable dynamics are analyzed. They lead to a new characterization of noncommutative integrability in terms of spectral properties and of Nijenhuis torsion of an invariant…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 G. Sparano , G. Vilasi

In the present work we study dynamical space-time symmetries in noncommutative relativistic theories by using the minimal canonical extension of the Doplicher, Fredenhagen and Roberts algebra. Our formalism is constructed in an extended…

High Energy Physics - Theory · Physics 2008-11-26 Ricardo Amorim

A class of non-supersymmetric string backgrounds can be constructed using twists that involve space-time fermion parity. We propose a non-perturbative definition of string theory in these backgrounds via gauge theories with supersymmetry…

High Energy Physics - Theory · Physics 2015-05-13 Emil J. Martinec , Daniel Robbins , Savdeep Sethi

We consider the open superstring ending on a D-brane in the presence of a constant NS-NS B field, using the Green-Schwarz formalism. Quantizing in the light-cone gauge, we find that the anti-commutation relations for the fermionic variables…

High Energy Physics - Theory · Physics 2009-10-31 Chong-Sun Chu , Frederic Zamora

Based on an argument for the noncommutativity of momenta in noncommutative directions, we arrive at a generalization of the ${\cal N}=1$ super $E^2$ algebra associated to the deformation of translations in a noncommutative Euclidean plane.…

High Energy Physics - Theory · Physics 2014-11-18 Reza Abbaspur

In this thesis my papers hep-th/0104190, hep-th/0310214, hep-th/0405072 and hep-th/0406065 are put into context. The thesis is mainly focused on noncommutative field theory and string theory, so results in the papers that are not related to…

High Energy Physics - Theory · Physics 2007-05-23 Laura Tamassia

In this paper, a Riemannian geometry of noncommutative super surfaces is developed which generalizes [4] to the super case. The notions of metric and connections on such noncommutative super surfaces are introduced and it is shown that the…

Differential Geometry · Mathematics 2022-12-29 Yong Wang , Tong Wu

We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discuss noncommutative classical mechanics, in particular its…

High Energy Physics - Theory · Physics 2008-11-26 Paolo Aschieri , Fedele Lizzi , Patrizia Vitale

We construct a supersymmetric version of the ``critical'' non-relativistic bosonic string theory\cite{Kim:2007hb} with its manifest global symmetry. We introduce the anticommuting $bc$ CFT which is the super partner of the $\beta\gamma$…

High Energy Physics - Theory · Physics 2014-11-18 Bom Soo Kim

This is an introduction to an algebraic construction of a gravity theory on noncommutative spaces which is based on a deformed algebra of (infinitesimal) diffeomorphisms. We start with some fundamental ideas and concepts of noncommutative…

High Energy Physics - Theory · Physics 2007-05-23 Frank Meyer

In this talk, based on work done in collaboration with G. Landi and R.J Szabo, I will review how string theory can be considered as a noncommutative geometry based on an algebra of vertex operators. The spectral triple of strings is…

High Energy Physics - Theory · Physics 2011-04-15 Fedele Lizzi

Generalizing previous work, we study the collision of massless superstring plane waves in D space-time dimensions within an explicitly O(D-2,D-2)-invariant set of field equations. We discuss some general properties of the solutions, showing…

High Energy Physics - Theory · Physics 2009-10-31 Valerio Bozza , Gabriele Veneziano

It is shown that a relativistic (i.e. a Poincar{\' e} invariant) theory of extended objects (called p-branes) is not necessarily invariant under reparametrizations of corresponding $p$-dimensional worldsheets (including worldlines for $p =…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matej Pavsic

In this paper we investigate the non-Abelian cosmic string in de Sitter and anti-de Sitter spacetimes. In order to do that we construct the complete set of equations of motion considering the presence of a cosmological constant. By using…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Antônio de Pádua Santos , Eugênio R. Bezerra de Mello

Superstring theories in the critical dimension D=10 are connected to one another by a well-explored web of dualities. In this paper we use closed-string tachyon condensation to connect the supersymmetric moduli space of the critical…

High Energy Physics - Theory · Physics 2008-11-26 Simeon Hellerman , Ian Swanson

We study the cosmological aspects of a noncommutative, multidimensional universe where the matter source is assumed to be a scalar field which does not commute with the internal scale factor. We show that such noncommutativity results in…

General Relativity and Quantum Cosmology · Physics 2010-11-11 N. Khosravi , S. Jalalzadeh , H. R. Sepangi

Considered are superparticle and superstring models invariant under supersymmetry in a target superspace and local extended worldsheet supersymmetry the latter replacing the fermionic $\kappa$--symmetry of the conventional Green--Schwarz…

High Energy Physics - Theory · Physics 2007-05-23 Dmitrij Sorokin

We study the scattering of noncommutative vortices, based on the noncommutative field theory developed in [Phys. Rev. D 75, 045009 (2007)], as a way to understand the interaction of cosmic strings. In the center-of-mass frame, the effects…

High Energy Physics - Phenomenology · Physics 2015-05-14 Anosh Joseph , Mark Trodden

We discuss the noncommutative generalizations of polynomial algebras which after appropriate completions can be used as coordinate algebras in various noncommutative settings, (noncommutative differential geometry, noncommutative algebraic…

Quantum Algebra · Mathematics 2010-03-19 Michel Dubois-Violette

We derive a perturbative expansion for space time entanglement entropy in string theory by comparing replica trick constructions on the target space and on the worldsheet. Requiring the two approaches to match implies a set of constrains on…

High Energy Physics - Theory · Physics 2019-06-26 Andrea Prudenziati
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