Asymptotic charges in 3d gravity with torsion

We discuss some new developments in three-dimensional gravity with torsion, based on Riemann-Cartan geometry. Using the canonical approach, we study the structure of asymptotic symmetry, clarify its fundamental role in defining the gravitational conserved charges, and explore the influence of the asymptotic structure on the black hole entropy.Comment: 6 pages, LATEX file (+jpconf.cls,jpconf11.clo), Talk presented at Constrained Dynamics and Quantum Gravity 05, Cala Gonone (Sardinia, Italy), September 12-16, 200

The CFT dual of AdS gravity with torsion

We consider the Mielke-Baekler model of three-dimensional AdS gravity with torsion, which has gravitational and translational Chern-Simons terms in addition to the usual Einstein-Hilbert action with cosmological constant. It is shown that the topological nature of the model leads to a finite Fefferman-Graham expansion. We derive the holographic stress tensor and the associated Ward identities and show that, due to the asymmetry of the left- and right-moving central charges, a Lorentz anomaly appears in the dual conformal field theory. Both the consistent and the covariant Weyl and Lorentz anomaly are determined, and the Wess-Zumino consistency conditions for the former are verified. Moreover we consider the most general solution with flat boundary geometry, which describes left-and right-moving gravitational waves on AdS_3 with torsion, and shew that in this case the holographic energy-momentum tensor is given by the wave profiles. The anomalous transformation laws of the wave profiles under diffeomorphisms preserving the asymptotic form of the bulk solution yield the central charges of the dual CFT and confirm the results that appeared earlier on in the literature. We finally comment on some points concerning the microstate counting for the Riemann-Cartan black hole.Comment: 17 pages, uses JHEP3.cls. References added, minor errors correcte

Black hole entropy from the boundary conformal structure in 3D gravity with torsion

Asymptotic symmetry of the Euclidean 3D gravity with torsion is described by two independent Virasoro algebras with different central charges. Elements of this boundary conformal structure are combined with Cardy's formula to calculate the black hole entropy.Comment: LaTeX, 12 pages; v2: one appendix added, typos corrected, minor changes of the tex

Covariant description of the black hole entropy in 3D gravity

We study the entropy of the black hole with torsion using the covariant form of the partition function. The regularization of infinities appearing in the semiclassical calculation is shown to be consistent with the grand canonical boundary conditions. The correct value for the black hole entropy is obtained provided the black hole manifold has two boundaries, one at infinity and one at the horizon. However, one can construct special coordinate systems, in which the entropy is effectively associated with only one of these boundaries.Comment: 12 pages, LaTeX, v2: new material in section IV clarifies the effects pertaining to the use of different coordinate system

Black hole entropy in 3D gravity with torsion

The role of torsion in quantum three-dimensional gravity is investigated by studying the partition function of the Euclidean theory in Riemann-Cartan spacetime. The entropy of the black hole with torsion is found to differ from the standard Bekenstein-Hawking result, but its form is in complete agreement with the first law of black hole thermodynamics.Comment: 17 pages, RevTeX, minor revision

AdS-inspired noncommutative gravity on the Moyal plane

We consider noncommutative gravity on a space with canonical noncommutativity that is based on the commutative MacDowell-Mansouri action. Gravity is treated as gauge theory of the noncommutative $SO(1,3)_\star$ group and the Seiberg-Witten (SW) map is used to express noncommutative fields in terms of the corresponding commutative fields. In the commutative limit the noncommutative action reduces to the Einstein-Hilbert action plus the cosmological term and the topological Gauss-Bonnet term. After the SW expansion in the noncommutative parameter the first order correction to the action, as expected, vanishes. We calculate the second order correction and write it in a manifestly gauge covariant way.Comment: 22 pages, no figures, final versio

Supplementary data for article: Blagojević, J. P.; Zarić, S. D. Stacking Interactions of Hydrogen-Bridged Rings-Stronger than the Stacking of Benzene Molecules. Chemical Communications 2015, 51 (65), 12989–12991. https://doi.org/10.1039/c5cc04139b

Supplementary material for: [https://doi.org/10.1039/c5cc04139b]Related to published version: [http://cherry.chem.bg.ac.rs/handle/123456789/1747]Related to accepted version: [http://cherry.chem.bg.ac.rs/handle/123456789/3424

Canonical approach to 2D WZNW model, non-abelian bosonization and anomalies

The gauged WZNW model has been derived as an effective action, whose Poisson bracket algebra of the constraints is isomorphic to the commutator algebra of operators in quantized fermionic theory. As a consequence, the hamiltonian as well as usual lagrangian non-abelian bosonization rules have been obtained, for the chiral currents and for the chiral densities. The expression for the anomaly has been obtained as a function of the Schwinger term, using canonical methods.Comment: RevTex, 23 page

2D Induced Gravity as an Effective WZNW System

We introduced a dynamical system given by a difference of two simple SL(2,R) WZNW actions in 2D, and defined the related gauge theory in a consistent way. It is shown that gauge symmetry can be fixed in such a way that, after integrating out some dynamical variables in the functional integral, one obtains the induced gravity action.Comment: LaTeX, 16 page

Стекинг интеракције прстенова формираних водоничним везивањем потпомогнутим резонанцијом

Resonance-assisted hydrogen-bridged rings are often found in crystal structures in parallel alignment; 44% of all crystal structuresfound in Cambridge structural database, that contain this ring type, form parallel contacts. Distances betw een ring planes are typical for stacking (3.0-4.0 Å) and rings are in anti orientation. Quantum chemical calculations of th e stacking interaction energies are performed using different methods that are in good agreement with CCSD(T)/CBS methods, on model systems composed on dimers of molecules whose derivatives are the most common in crystal structures. The stro ngest calculated interactions (up to -5.1 kcal/mol) are comparable with stacking interactions of saturated hydrogen-bridged rings (-4.9 kcal/mol [1]) and stacking interactions between saturated hydrogen-bridged rings and C6-aromatic rings (-4.4 kcal/mol [2]), as well as with hydrogen bonds between water molecules (-4.8 kcal/mol [3]). Results indicate that energies of stack ing interactions of resonance-assisted hydrogen-bridged rings are not substantially different than energies of stacking interactions between saturated hydrogen-bridged rings