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This dissertation consists of a comprehensive and pedagogical review of Maldacena's original derivation of the AdS/CFT correspondence and the main topics of string theory necessary to understand it. The large $N$ expansion of Yang-Mills…

High Energy Physics - Theory · Physics 2025-10-28 Pedro Bairrão

Minimal coupling leads to problems such as loss of causality if one wants to describe charged particles of spin greater than one propagating in a constant electromagnetic background. Regge trajectories in string theory contain such states,…

High Energy Physics - Theory · Physics 2023-02-01 Karim Benakli , Cassiano A. Daniel , Wenqi Ke

The structure of spacetime duality and discrete worldsheet symmetries of compactified string theory is examined within the framework of noncommutative geometry. The full noncommutative string spacetime is constructed using the…

High Energy Physics - Theory · Physics 2009-10-30 Fedele Lizzi , Richard J. Szabo

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

In this work we extend the notion of co-algebra, co-algebraic Wess-Zumino-Witten formulation of Lagrangian Field Theory and the Homotopy transfer theorem to many strings and particle systems. We discuss in detail the construction of higher…

High Energy Physics - Theory · Physics 2025-12-23 Enrico Perron Cabus

We examine the structure of spacetime symmetries of toroidally compactified string theory within the framework of noncommutative geometry. Following a proposal of Frohlich and Gawedzki, we describe the noncommutative string spacetime using…

High Energy Physics - Theory · Physics 2009-10-30 F. Lizzi , R. J. Szabo

The quantum algebra of observables of the massive closed bosonic string in 1+3 dimensions has been developed so far in the rest frame of the string. In this paper a method to write this algebra in a manifestly Lorentz covariant form is…

High Energy Physics - Theory · Physics 2007-05-23 Diethard Peter

We reconsider the tensionless limit on bosonic closed string theory, where the 3d Bondi-Metzner-Sachs (BMS) algebra appears as symmetries on the worldsheet, as opposed to two copies of the Virasoro algebra in the case of the usual tensile…

High Energy Physics - Theory · Physics 2019-09-18 Arjun Bagchi , Aritra Banerjee , Pulastya Parekh

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 article, we investigate the supersymmetric c=1 model of superstring theory and demonstrate how the spectrum of states is expanded and new symmetries of the theory are generated by the existence of ghost cohomologies. As a result, we…

General Physics · Physics 2023-03-21 Omar El Deeb

Two-dimensional string theory is known to contain the set of discrete states that are the SU(2) multiplets generated by the lowering operator of the SU(2) current algebra.Their structure constants are defined by the area preserving…

High Energy Physics - Theory · Physics 2008-11-26 Dimitri Polyakov

We consider an exactly solvable worldsheet string theory in the background of a black brane with a gauge field flux. Holographically, such a system can be interpreted as a field theory with finite number of degrees of freedom at finite…

High Energy Physics - Theory · Physics 2013-06-14 Mikhail Goykhman , Andrei Parnachev

We consider the sl(2) current algebra at level k=-4 when the sl(2) BRST operator is nilpotent. We formulate a spectral sequence converging to the cohomology of this BRST operator. At the second term of the spectral sequence, we observe an…

High Energy Physics - Theory · Physics 2011-07-19 A M Semikhatov , I Yu Tipunin

We study a $U(N)$-invariant vector+matrix chain with the color structure of a lattice gauge theory with quarks and interpret it as a theory of open andclosed strings with target space $\Z$. The string field theory is constructed as a…

High Energy Physics - Theory · Physics 2014-11-18 Ivan K. Kostov

We review and explain an infinite-dimensional counterpart of the Hurwitz theory realization of algebraic open-closed string model a la Moore and Lizaroiu, where the closed and open sectors are represented by conjugation classes of…

High Energy Physics - Theory · Physics 2013-03-07 A. Mironov , A. Morozov , S. Natanzon

This is the second paper of a series of three. We construct effective open-closed superstring couplings by classically integrating out massive fields from open superstring field theories coupled to an elementary gauge invariant tadpole…

High Energy Physics - Theory · Physics 2021-09-29 Carlo Maccaferri , Jakub Vošmera

Dual resonance is one of the great miracles of string theory. At a fundamental level, it implies that the particles exchanged in different channels are subtly equivalent. Furthermore, it is inextricably linked to the property of…

High Energy Physics - Theory · Physics 2023-10-16 Clifford Cheung , Grant N. Remmen

We use the correspondence between string states and local operators on the world-sheet boundary defined by vertex operators in open string theory to put in correspondence, holographically, the bosonic open string with the large N limit of a…

High Energy Physics - Theory · Physics 2010-02-03 Mariano Cadoni , Paolo Carta

Let $\mathbb{S}$ denote the oscillatory module over the complex symplectic Lie algebra $\mathfrak{g}= \mathfrak{sp}(\mathbb{V}^{\mathbb{C}},\omega).$ Consider the $\mathfrak{g}$-module…

Representation Theory · Mathematics 2015-11-17 Svatopluk Krýsl

Since euclidean global AdS_2 space represented as a strip has two boundaries, the state / operator correspondence in the dual CFT_1 reduces to the standard map from the operators acting on a single copy of the Hilbert space to states in the…

High Energy Physics - Theory · Physics 2011-12-16 Ashoke Sen