Results 1 to 10 of about 52,715 (203)
Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space.
Derek K. Wise
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Nuclear Physics B, 2015 We study the expectation value of a nonplanar Wilson graph operator in SL(2,C) Chern–Simons theory on S3. In particular we analyze its asymptotic behavior in the double-scaling limit in which both the representation labels and the Chern–Simons coupling ...
Hal M. Haggard +3 more
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A comment on metric vs metric-affine gravity
Physics Letters B, 2023 We consider the sum of the Einstein-Hilbert action and a Pontryagin density (PD) in arbitrary even dimension D≥4. All curvatures are functions of independent affine (torsionless) connections only.
Ulf Lindström, Özgür Sarıoğlu
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The well adapted connection of a $(J^{2}=\pm 1)$-metric manifold
, 2015 In this paper, we study the well adapted connection attached to a $(J^{2}=\pm 1)$-metric manifold, proving it exists for any of the four geometries and obtaining a explicit formula as a derivation law.
Etayo, Fernando, Santamaría, Rafael
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Gerbes, simplicial forms and invariants for families of foliated bundles
, 2004 The notion of a gerbe with connection is conveniently reformulated in terms of the simplicial deRham complex. In particular the usual Chern-Weil and Chern-Simons theory is well adapted to this framework and rather easily gives rise to `characteristic ...
Bismut +18 more
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Higher dimensional quantum Hall effect as A-class topological insulator
Nuclear Physics B, 2014 We perform a detail study of higher dimensional quantum Hall effects and A-class topological insulators with emphasis on their relations to non-commutative geometry.
Kazuki Hasebe
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Strong connections and the relative Chern-Galois character for corings
, 2005 The Chern-Galois theory is developed for corings or coalgebras over non-commutative rings. As the first step the notion of an entwined extension as an extension of algebras within a bijective entwining structure over a non-commutative ring is introduced.
Böhm, Gabriella, Brzeziński, Tomasz
openaire +5 more sources
Wilson loop algebras and quantum K-theory for Grassmannians
Journal of High Energy Physics, 2020 We study the algebra of Wilson line operators in three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric U(M ) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M, N ), and its connection to K-theoretic Gromov-Witten invariants for ...
Hans Jockers +3 more
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The holographic c-theorem and infinite-dimensional Lie algebras
Journal of High Energy Physics, 2022 We discuss a non-dynamical theory of gravity in three dimensions which is based on an infinite-dimensional Lie algebra that is closely related to an infinite-dimensional extended AdS algebra.
Eric A. Bergshoeff +2 more
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Non-Abelian fractional quantum Hall states and chiral coset conformal field theories
, 2000 We propose an effective Lagrangian for the low energy theory of the Pfaffian states of the fractional quantum Hall effect in the bulk in terms of non-Abelian Chern-Simons (CS) actions.
D. C. CABRA +4 more
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