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This is a set of lectures on the gauge/string duality and non-critical strings, with a particular emphasis on the discretized, or matrix model, approach. After a general discussion of various points of view, I describe the recent…

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

Fractional superstrings are non-trivial generalizations of ordinary superstrings and heterotic strings, and have critical spacetime dimensions which are less than ten by virtue of a worldsheet fractional supersymmetry relating worldsheet…

High Energy Physics - Theory · Physics 2007-05-23 Keith R. Dienes

The recent developments in string theory suggest that the space-time coordinates should be generalized to non-commuting matrices. Postulating this suggestion as the fundamental geometrical principle, we formulate a candidate for covariant…

High Energy Physics - Theory · Physics 2009-10-30 Christiaan Hofman , Jae-Suk Park

We study the perturbative unitarity of noncommutative scalar field theories. Field theories with space-time noncommutativity do not have a unitary S-matrix. Field theories with only space noncommutativity are perturbatively unitary. This…

High Energy Physics - Theory · Physics 2009-10-31 Jaume Gomis , Thomas Mehen

Noncommutative spectral geometry succeeds in explaining the physics of the Standard Model of electroweak and strong interactions in all its details as determined by experimental data. Moreover, by construction the theory lives at very high…

High Energy Physics - Theory · Physics 2011-03-21 Mairi Sakellariadou

We consider astrophysical objects such as main-sequence stars, white-dwarfs and neutron stars in a noncommutative context. Noncommutativity is implemented via a deformed dispersion relation $E^{2}=p^{2}c^{2}(1+\lambda E)^{2}+m^{2}c^{4}$…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Orfeu Bertolami , Carlos A. D. Zarro

String theory relies on spacetime supersymmetry to guarantee the existence of stable vacua. In this review, we survey two features of non-supersymmetric strings that challenge both aspects: the appearance of tachyons and worldsheet…

High Energy Physics - Theory · Physics 2026-05-11 Giorgio Leone , Salvatore Raucci

Cosmic strings, as remnants of the symmetry breaking phase in the Early Universe, may be susceptible to non-local physics. Here we show that the presence of a Poincar\'e-invariant non-locality -- parametrized by a factor $\exp(-\Box\ell^2)$…

General Relativity and Quantum Cosmology · Physics 2021-02-16 Jens Boos

We study confining strings in massive adjoint two-dimensional chromodynamics. Off-shell, as a consequence of zigzag formation, the resulting worldsheet theory provides a non-trivial dynamical realization of infinite quon statistics. Taking…

High Energy Physics - Theory · Physics 2020-11-03 John C. Donahue , Sergei Dubovsky

We extend the non-commutative coordinates relationship into other than the Minkowski space-time. We clarify the non-commutativity dependency to the geometrical structure. As well as, we find an inverse map between Riemann's normal and…

General Physics · Physics 2018-11-27 Abolfazl Jafari

In $D=3,4,6$ and 10 space--time dimensions considered is a string model invariant under transformations of $N=1$ space--time supersymmetry and $n=D-2$ local worldsheet supersymmetry with the both Virasoro constraints solved in the twistor…

High Energy Physics - Theory · Physics 2015-06-26 Igor A. Bandos , Martin Cederwall , Dmitrij P. Sorokin , Dmitrij V. Volkov

An overview of supersymmetry and its different applications is presented. We motivate supersymmetry in particle physics. We then explain how supersymmetry helps us analyze field theories exactly, and what dynamical lessons these solutions…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Seiberg

We study de Sitter configurations in ten-dimensional string models where supersymmetry is either absent or broken at the string scale. To this end, we derive expressions for the cosmological constant in general warped flux compactifications…

High Energy Physics - Theory · Physics 2020-12-02 Ivano Basile , Stefano Lanza

Over the past three decades, considerable effort has been devoted to studying the rich and diverse phenomenologies of heterotic strings exhibiting spacetime supersymmetry. Unfortunately, during this same period, there has been relatively…

High Energy Physics - Theory · Physics 2015-07-01 Steven Abel , Keith R. Dienes , Eirini Mavroudi

In a previous paper (hep-th/0509067) using matrix model, we showed that closed string tachyons can resolve spacelike singularity in one particular class of Misner space (with anti-periodic boundary conditions for fermions around the spatial…

High Energy Physics - Theory · Physics 2008-11-26 Jian-Huang She

We analyse some physical consequences when supersymmetry is broken by a set of D-branes and/or orientifold planes in Type II string theories. Generically, there are global dilaton tadpoles at the disk level when the transverse space is…

High Energy Physics - Theory · Physics 2009-11-07 Raul Rabadan , Frederic Zamora

Field theories based on non-commutative spacetimes exhibit very distinctive nonlocal effects which mix the ultraviolet with the infrared in bizarre ways. In particular if the time coordinate is involved in the non-commutativity the theory…

High Energy Physics - Theory · Physics 2009-10-31 N. Seiberg , L. Susskind , N. Toumbas

We study relativistic particle, string and membrane theories as defining field theories containing gravity in (0+1), (1+1) and (2+1) spacetime dimensions respectively. We show how an off shell invariance of the massless particle action…

High Energy Physics - Theory · Physics 2007-05-23 W. Chagas-Filho

We introduce a new set of noncommutative space-time commutation relations in two space dimensions. The space-space commutation relations are deformations of the standard flat noncommutative space-time relations taken here to have position…

High Energy Physics - Theory · Physics 2015-03-13 Andreas Fring , Laure Gouba , Frederik G. Scholtz

We construct twisted noncommutative gauge theories on twistor space and show that they are equivalent to four-dimensional twist-noncommutative gauge theories. In particular, we study twists of the Poincar\'e algebra. We explain how such a…

High Energy Physics - Theory · Physics 2026-01-29 Tim Meier , Eggon Viana
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