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These lecture notes provide a short review of the status of time dependent backgrounds in String theory, and in particular those that contain space-like singularities. Despite considerable efforts, we do not have yet a full and compelling…

High Energy Physics - Theory · Physics 2008-11-26 Micha Berkooz , Dori Reichmann

The AdS/CFT correspondence of elementary string theory has been recently suggested as a ``microscopic'' approach to QCD string theory in various dimensions. We use the microscopic theory to show that the ultraviolet regime on the string…

High Energy Physics - Theory · Physics 2009-10-31 Petr Horava

Non-relativistic string theories promise to provide simpler theories of quantum gravity as well as tractable limits of the AdS/CFT correspondence. However, several apparently distinct non-relativistic string theories have been constructed.…

High Energy Physics - Theory · Physics 2019-11-19 Troels Harmark , Jelle Hartong , Lorenzo Menculini , Niels A. Obers , Gerben Oling

We study the positive theory of groups acting on trees and show that under the presence of weak small cancellation elements, the positive theory of the group is trivial, i.e. coincides with the positive theory of a non-abelian free group.…

Group Theory · Mathematics 2019-10-22 Montserrat Casals-Ruiz , Albert Garreta , Javier de la Nuez González

We study some aspects of the recently discovered connection between dimer models and D-brane gauge theories. We argue that dimer models are also naturally related to closed string theories on non compact orbifolds of $\BC^2$ and $\BC^3$,…

High Energy Physics - Theory · Physics 2009-04-17 Tapobrata Sarkar

We argue that a class of ``non-critical superstring'' vacua is holographically related to the (non-gravitational) theory obtained by studying string theory on a singular Calabi-Yau manifold in the decoupling limit $g_s\to 0$. In two…

High Energy Physics - Theory · Physics 2010-02-03 A. Giveon , D. Kutasov , O. Pelc

Inspired by recent work arXiv:2301.11227 on massive ambitwistor strings this paper examines the spectrum of such models using oscillator expansions. The spectrum depends heavily on the constant related to the normal ordering of the zero…

High Energy Physics - Theory · Physics 2023-05-16 Christian Kunz

For the additive real BSS machines using only constants 0 and 1 and order tests we consider the corresponding Turing reducibility and characterize some semi-decidable decision problems over the reals. In order to refine, step-by-step, a…

Logic in Computer Science · Computer Science 2016-03-27 Christine Gaßner

We will report on recent advances in the understanding of non-perturbative interconnections between different string dualities. Weak-strong coupling duality (S-duality) and T-duality (symmetry under compactification on dual tori) allows one…

High Energy Physics - Theory · Physics 2007-05-23 Sergio Ferrara

We discuss the notion of tensionless limit in quantum bosonic string theory, especially in flat Minkowski space, noncompact group manifolds (e.g., SL(2,R)) and coset manifolds (e.g., AdS). We show that in curved space typically there exists…

High Energy Physics - Theory · Physics 2010-04-05 Ulf Lindstrom , Maxim Zabzine

We construct an off-shell extension of cubic interaction vertices between massless bosonic Higher Spin fields on a flat background which can be obtained from perturbative bosonic string theory. We demonstrate how to construct higher quartic…

High Energy Physics - Theory · Physics 2010-11-23 A. Fotopoulos , M. Tsulaia

We derive a soft theorem for a massless scalar in an effective field theory with generic field content using the geometry of field space. This result extends the geometric soft theorem for scalar effective field theories by allowing the…

High Energy Physics - Theory · Physics 2024-03-20 Maria Derda , Andreas Helset , Julio Parra-Martinez

In this paper we analyse perturbative higher derivative gravity which is known to possess a BRST symmetry associated with its higher derivative structure. We first analyse the anti-BRST and double BRST symmetries of this theory. We then…

General Physics · Physics 2014-08-29 Mozzam Khan

Recently, string theory on some specific curved backgroud spacetime geometries has been conjectured to be equivalent to certain gauge theories (AdS/CFT correspondence). This correspondence may be used to investigate the non-perturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Romuald A. Janik

In this work we investigate connections between superalgebras and their realizations in terms of particles, branes and field theory models. We start from Poincar\'e superalgebras with brane charges and study its representations. The…

High Energy Physics - Theory · Physics 2007-05-23 Igor Rudychev

We describe in detail how the spectrum of a single anti-D3-brane in four-dimensional orientifolded IIB string models reproduces precisely the field content of a nilpotent chiral superfield with the only physical component corresponding to…

High Energy Physics - Theory · Physics 2016-01-27 Renata Kallosh , Fernando Quevedo , Angel M. Uranga

String theories with branes can often be generalized by adding brane-antibrane pairs. We explore the cancellation of anomalies in this more general context, extending the familiar anomaly-cancelling mechanisms, both for ten-dimensional…

High Energy Physics - Theory · Physics 2010-05-28 John H. Schwarz , Edward Witten

Recent work has made clear that we have far more control over the dynamics of supersymmetric than non-supersymmetric theories. Here, I discuss some issues in dynamical supersymmetry breaking both in ordinary field theory and in string…

High Energy Physics - Theory · Physics 2007-05-23 M. Dine

We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of…

High Energy Physics - Theory · Physics 2008-11-26 Gleb Arutyunov , Sergey Frolov , Jan Plefka , Marija Zamaklar

Conjunctive table algebras are introduced and axiomatically characterized. A conjunctive table algebra is a variant of SPJR algebra (a weaker form of relational algebra), which corresponds to conjunctive queries with equality. The table…

Logic · Mathematics 2024-04-03 Jens Kötters , Stefan E. Schmidt
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