Gauge Symmetry and Howe Duality in 4D Conformal Field Theory Models [PDF]
It is known that there are no local scalar Lie fields in more than two dimensions. Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras. It is demonstrated that these Lie algebras of local observables admit (highly reducible) unitary positive energy representations in a Fock space ...
Иван Тодоров
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Coordinate/field duality in gauge theories: Emergence of matrix coordinates [PDF]
9 pages, LaTeX, submitted to journal N ...
Amir H. Fatollahi
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YANGIANS IN INTEGRABLE FIELD THEORIES, SPIN CHAINS AND GAUGE-STRING DUALITIES [PDF]
In the following paper, which is based on the author's PhD thesis submitted to Imperial College London, we explore the applicability of Yangian symmetry to various integrable models, in particular, in relation with S-matrices. One of the main themes in this work is that, after a careful study of the mathematics of the symmetry algebras one finds that ...
FABIAN SPILL
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Universal criticality of thermodynamic geometry for boundary conformal field theories in gauge/gravity duality [PDF]
According to more recent AdS/CFT interpretation \cite{Karch:2015rpa}, in which varying cosmological constant $ $ in the bulk corresponds to varying the curvature radius governing the space on which the field theory resides, we study the criticality of thermodynamic curvatures for thermal boundary conformal field theories (CFT) that are dual to $d ...
Morteza Rafiee +3 more
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String organization of field theories: Duality and gauge invariance [PDF]
String theories should reduce to ordinary four-dimensional field theories at low energies. Yet the formulation of the two are so different that such a connection, if it exists, is not immediately obvious.
Yue‐Hong Feng, C. S. Lam
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Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities [PDF]
This review covers a number of applications of conformal field theory methods for perturbative calculations in N=4 Super Yang-Mills and ABJM theory. After motivating the role of superconformal symmetry for elementary particle physics research, we review some basic facts about conformal symmetry and conformal transformations of fields in a pedagogical ...
Konstantin Wiegandt
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Duality in noncommutative topologically massive gauge field theory revisited [PDF]
14 pages, Latex. v2: comments and references added, minor changes. v3: analysis extended to the second order in the noncommutative parameter, references and discussions added.
M. Botta Cantcheff, Pablo Minces
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Duality and Integrability in Superstring and Gauge Field Theory [PDF]
In the present thesis, we explore certain aspects of superstring and supersymmetric gauge field theory, independently as well as in the context of the holographic duality.The first part of the thesis is devoted to classical integrability and, in particular, to certain methods of analytic non-integrability, which are employed on various supergravity vacua.
Kostas Filippas
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Local duality symmetry in gauge field theories [PDF]
We develop the idea of local duality symmetry (LDS) in gauge field theories. Using Clifford algebra techniques we construct dually invariant scalar Lagrangian of electrodynamics in the presence of sources and demonstrate that in tensor formalism it is exactly the same as the usual one. Then we localize the duality symmetry with two possible options for
Timur Seidov
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Spacetime duality and two-dimensional gauge field theory [PDF]
In this letter we implement a recently proposed {\it spacetime duality} approach to dualize a two dimensional, Abelian, gauge field theory, which has no dual version under $p$--duality. Our result suggests that spacetime duality spans a new, wider, class
Anais Smailagic, Euro Spallucci
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