Results 51 to 60 of about 51,886 (188)

Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions

open access: yesSymmetry, 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
doaj   +1 more source

SL(2,C) Chern–Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: Semiclassical geometry

open access: yesNuclear 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
doaj   +1 more source

A comment on metric vs metric-affine gravity

open access: yesPhysics 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
doaj   +1 more source

Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains

open access: yesAdvanced Science, EarlyView.
In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu   +6 more
wiley   +1 more source

Gerbes, simplicial forms and invariants for families of foliated bundles

open access: yes, 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
core   +1 more source

Environmentally Friendly Nanofiber Cellulose From Durian Rinds: A Sustainable Alternative Biomass Resource

open access: yesAsia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT A novel, efficient, and eco‐friendly sustainable process has been developed for the extraction of cellulose nanofibers (CNF) from durian rinds. The method utilizes low‐molecular‐weight 2,2,6,6‐tetramethylpiperidine‐1‐oxyl (TEMPO) as an oxidation agent, in conjunction with sonication treatment, resulting in a significant reduction of processing
Nyoman Puspa Asri   +7 more
wiley   +1 more source

U(N) Framed Links, Three-Manifold Invariants, and Topological Strings

open access: yes, 2003
Three-manifolds can be obtained through surgery of framed links in $S^3$. We study the meaning of surgery procedures in the context of topological strings.
Borhade, Pravina   +2 more
core   +2 more sources

Equivariant toric geometry and Euler–Maclaurin formulae

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell   +3 more
wiley   +1 more source

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