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An overview of recent developments in the renormalization and in the implementation of spacetime symmetries of noncommutative field theory is presented, and argued to be intimately related.

High Energy Physics - Theory · Physics 2008-11-26 Richard J. Szabo

The known Lorentz invariant string field theory for open N=2 strings is combined with a generalization of the twistor description of anti-self-dual (super) Yang-Mills theories. We introduce a Chern-Simons-type Lagrangian containing twistor…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld , Alexander D. Popov

We investigate backgrounds of Type IIB string theory with null singularities and their duals proposed in hep-th/0602107. The dual theory is a deformed N=4 Yang-Mills theory in 3+1 dimensions with couplings dependent on a light-like…

High Energy Physics - Theory · Physics 2008-11-26 Sumit R. Das , Jeremy Michelson , K. Narayan , Sandip P. Trivedi

In string field theory an infinitesimal background deformation is implemented as a canonical transformation whose hamiltonian function is defined by moduli spaces of punctured Riemann surfaces having one special puncture. We show that the…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach

The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. This effect is equivalent to replacing ordinary products in the effective theory by the deformed…

High Energy Physics - Theory · Physics 2009-10-31 Ali H. Chamseddine

In this paper we study general properties of noncommutative field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. We analyze the extension of the Wightman axioms to this context and…

High Energy Physics - Theory · Physics 2010-04-06 L. Alvarez-Gaume , M. A. Vazquez-Mozo

The matrix model formulation of two dimensional string theory has been shown to admit time dependent classical solutions whose closed string duals are geodesically incomplete space-times with space-like boundaries. We investigate some…

High Energy Physics - Theory · Physics 2008-11-26 Sumit R. Das , Luiz H. Santos

We examine the field equations of a self-gravitating global string in low energy superstring gravity, allowing for an arbitrary coupling of the global string to the dilaton. Massive and massless dilatons are considered. For the massive…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Owen Dando , Ruth Gregory

We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from…

High Energy Physics - Theory · Physics 2008-11-04 Fedele Lizzi

The perturbative analysis of models of open and closed superstrings presents a number of surprises. For instance, variable numbers of antisymmetric tensors ensure their consistency via generalized Green-Schwarz cancellations and a novel…

High Energy Physics - Theory · Physics 2009-10-30 Augusto Sagnotti

We study properties of a scalar quantum field theory on two-dimensional noncommutative space-times. Contrary to the common belief that noncommutativity of space-time would be a key to remove the ultraviolet divergences, we show that field…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , A. Demichev , P. Presnajder

We study possible backgrounds of 2D string theory using its equivalence with a system of fermions in upside-down harmonic potential. Each background corresponds to a certain profile of the Fermi sea, which can be considered as a deformation…

High Energy Physics - Theory · Physics 2011-07-19 Sergei Yu. Alexandrov , Vladimir A. Kazakov , Ivan K. Kostov

We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces…

High Energy Physics - Theory · Physics 2021-02-03 Matsuo Sato

In this paper we discuss non-commutative and non-associative geometries that emerge in the context of non-geometric closed string backgrounds. T-duality and doubled field theory plays an important role in formulating the corresponding…

High Energy Physics - Theory · Physics 2012-05-28 Dieter Lust

String field theory is a candidate for a full non-perturbative definition of string theory. We aim to define string field theory on a space-time lattice to investigate its behaviour at the quantum level. Specifically, we look at string…

High Energy Physics - Lattice · Physics 2010-12-23 Francis Bursa , Michael Kroyter

Boundary conditions play a non trivial role in string theory. For instance the rich structure of D-branes is generated by choosing appropriate combinations of Dirichlet and Neumann boundary conditions. Furthermore, when an antisymmetric…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Hector L. Carrion , Cresus F. L. Godinho

Infinite-dimensional Grassmannian manifold contains moduli spaces of Riemann surfaces of all genera. This well known fact leads to a conjecture that non-perturbative string theory can be formulated in terms of Grassmannian. We present new…

High Energy Physics - Theory · Physics 2010-11-19 Albert Schwarz

The $N=2$ fermionic string theory is revisited in light of its recently proposed equivalence to the non-compact $N=4$ fermionic string model. The issues of space-time Lorentz covariance and supersymmetry for the BRST quantized $N=2$ strings…

High Energy Physics - Theory · Physics 2010-04-06 S. V. Ketov

Type II string theory and M-theory admit flux configurations that break supersymmetry below the Kaluza-Klein scale. These backgrounds play a central role in most models of the string landscape. I argue that the behavior of such backgrounds…

High Energy Physics - Theory · Physics 2018-10-17 Savdeep Sethi

The recently found non-critical open string theories is reviewed. These open strings, noncommutative open string theories (NCOS), arise as consistent quantum theories describing the low energy theory of D-branes in a background electric…

High Energy Physics - Theory · Physics 2009-10-07 M. M. Sheikh-Jabbari