Chern Simons Theory
Refined BPS Invariants, Chern Simons Theory, and the Quantum Dilogarithm
... There are many directions in which to continue the studies of refined BPS invariants and complex Chern-Simons theory that have begun here. They are both still relatively unexplored fields. In the ...
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Non existence of natural states for Abelian Chern–Simons theory
... Quantization of Abelian Chern-Simons theory is achieved by composing the functor (2.14) with the canonical commutation relation functor CCR : PAb → C ∗ Alg that assigns C ∗ -algebras to presymplectic ...
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Non-Abelian Chern-Simons theory from a Hubbard-like model
... Interacting systems are in general too hard to track analytically. An interesting approach is to employ low- dimensional interacting relativistic quantum field the- ories at zero temperature for which bosonisation can be ...
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All Loop Topological String Amplitudes from Chern-Simons Theory
... deform Chern-Simons theory ...the theory in terms of open and closed strings are at the same level of complexity, and the duality was not easy to check (beyond the leading disk ...
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Quantum Groups and Integralities in Chern Simons Theory
... Chern-Simons theory is a three-dimensional topological field theory (TQFT) of Schwarz ...gauge theory, and one can study it perturbatively [62, 75, 93, 128]. The theory is ...
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Light Front Hamiltonian, Path Integral and BRST Formulations of the Chern Simons Theory under Appropriate Gauge Fixing
... quantum theory corresponding to the classical Chern- Simons theory defined by the action (1) (or equivalently defined by the LF action (2)) by quantizing the corresponding classical ...
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Aspects of Chern Simons theory
... e Chern Simons theory [5] — a topological field th e o ry of Schwarz type (to be introduced shortly) and th e calculation of its p a rtitio n function (a priori a formal, nuitheniatically ill-defined ...
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Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems
... to Chern–Simons invariants can be recast in the context of quantum groups and modular tensor categories to yield bona fide invariants of links in 3-manifolds [RT90, RT91]; when the ...
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Integrability of N = 6 Chern Simons theory
... a theory to be integrable? In practice, this means that the calculation of physical observables can be reduced to a well-posed nite mathematical ...a theory to be integrable is that the number of symmetries ...
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Chern Simons forms of pseudo Riemannian homogeneity on the oscillator group
... The Chern-Simons theory supplies both in physics and dif- ferential geometry interesting characteristic forms and classes; for instance, it furnishes a mathematical formulation for some ...of ...
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González Albornoz, Nicolás Lorenzo (2019): Symmetries in four-dimensional multi-spin-two field theory: relations to Chern-Simons gravity and further applications. Dissertation, LMU München: Fakultät für Physik
... 5-dimensional Chern–Simons theory for the orthogonal group SO(4, 2) and we express the gauge fields in all the covariant bases discussed in § ...5-dimensional theory getting in the end ...
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Localization and Dualities in Three Dimensional Superconformal Field Theories
... Up until now, with the exception of pure Chern-Simons theory, we have considered only theories with extended supersymmetry, i.e., at least N = 3. There is no inherent reason why the local- ization ...
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Chern Simons Matter Theory in Superspace Formalism
... x = γ x = x + i θ θ ++ −− + θ θ ++ −− (2) We will now construct a harmonic superspace suitable for dealing with three dimensional theories. It will be shown that this harmonic superspace has = 1 supersymmetry. Then we ...
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Roadmap on Wilson loops in 3d Chern-Simons-matter theories
... pure Chern-Simons theory is a topological theory, when matter is coupled to it and the theory becomes an ordinary non-topological theory as ABJ(M), one could in principle choose ...
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Renormalisation of general N=2 supersymmetric Chern-Simons theories in three dimensions
... 2 Chern-Simons matter theories we showed that our results were consistent with those obtained from the superfield ...the theory, for instance the maximal supersymmetric Chern-Simons ...
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Chern-Simons: Fano and Calabi-Yau
... volume Chern-Simons theory in 2 1 dimensions has no notion of anomaly, and hence there is no distinction between anomalous and anomaly-free baryonic ...a theory that has no CS terms, and one- ...
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Gußmann, Alexander (2018): Topological aspects of classical and quantum black hole hair. Dissertation, LMU München: Fakultät für Physik
... - not only black holes in (source-free) Einstein-Maxwell theory [RW71]. They emphasized that electric charge for example is distinguished when compared to many other physical parameters in the sense that it is ...
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Chern Classes of Splayed Intersections
... 2.1. Splayed blow-ups. Throughout the paper, V will denote a smooth complex algebraic variety; several results extend without change to the context of nonsingular algebraic varieties over an algebraically closed field of ...
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The Seiberg-Witten equations on 3-manifolds with boundary
... xii List of Notations YM , £ energy functional on 4-manifolds CSV Chern-Simons-Dirac functional on 3-manifolds F Dirac functional on Riemann surfaces CIV, g Clifford module on vector spa[r] ...
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Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications
... the Chern-Simons invariant can take fractional values; in fact it is only defined modulo integers, as large gauge transformations shift CS(A, Q) by integer ...use Chern-Simons flux instead of ...
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