With the goal of giving evidence for theoretical consistency Horava Theory, we perform a Hamiltonian analysis on classical model suitable analyzing its effective dynamics at large distances. The is lowest-order truncation Theory with detailed-balance condition. We consider pure gravitational theory without matter sources. has same potential term general relativity, but kinetic modified by inclusion an arbitrary coupling constant lambda. Since this breaks covariance under space-time...

We perform the Hamiltonian analysis for lowest-order effective action, up to second order in derivatives, of complete Ho\ifmmode \check{r}\else \v{r}\fi{}ava theory. The model includes invariant terms that depend on ${\ensuremath{\partial}}_{i}\mathrm{ln}N$ proposed by Blas, Pujol\`as, and Sibiryakov. show algebra constraints closes. constraint is second-class behavior it can be regarded as an elliptic partial differential equation $N$. linearized version this a Poisson $N$ solved...

We consider a Horava theory that has consistent structure of constraints and propagates two physical degrees freedom. The Lagrangian includes the terms Blas, Pujolas Sibiryakov. can be obtained from general Horava's formulation by setting lambda = 1/3. This value is protected in quantum presence constraint. second-class are absent for other values lambda. They remove extra scalar mode. There no strong-coupling problem this since there perform explicit computations on model put together z 1...

A regularized model of a noncommutative formulation the double compactified $D=11$ supermembrane with nontrivial winding in terms $\mathrm{SU}(N)$ valued maps is obtained. The condition described line bundle introduced supermembrane. multivalued geometrical objects related to wrapping are object, which $\stackrel{\ensuremath{\rightarrow}}{N}\ensuremath{\infty}$ limit converges symplectic connection area-preserving diffeomorphisms recently obtained description [I. Mart\'{\i}n, J. Ovalle, and...

We perform the Hamiltonian analysis for a nonprojectable Ho\ifmmode \check{r}\else \v{r}\fi{}ava model whose potential is composed of $R$ and ${R}^{2}$ terms. show that Dirac's algorithm preservation constraints can be done in closed way, hence algebra this consistent. The has an extra, odd, scalar mode decoupling limit seen linear-order perturbative on weakly varying backgrounds. Although our results point favor consistency theory, validity full theory still remains unanswered.

The Ho\ifmmode \check{r}\else \v{r}\fi{}ava theory depends on several coupling constants. kinetic term of its Lagrangian one dimensionless constant $\ensuremath{\lambda}$. For the particular value $\ensuremath{\lambda}=1/3$ becomes conformal invariant, although full does not have this symmetry. any $\ensuremath{\lambda}$ nonprojectable version has second-class constraints that play a central role in process quantization. Here we study complete theory, including Blas-Pujol\`as-Sibiryakov...

Abstract A spherically symmetric wormhole family of solutions, with null red-shift, in the context f ( R )-gravity is presented. The model depends on two parameters: m and $$\beta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math> meets all requirements to be an asymptotically traversable wormhole. To solve field equations, EoS imposed: $$p_{\perp }=-\rho...

It is shown that a double compactified $D=11$ supermembrane with nontrivial wrapping may be formulated as symplectic noncommutative gauge theory on the world volume. The structure intrinsically obtained from two-form volume defined by minimal configuration of its Hamiltonian. transformations fibration are generated area preserving diffeomorphisms Geometrically, this corresponds to over compact Riemann surface connection.

We construct an 11D supermembrane with topological central charges induced through irreducible winding on a G2 manifold realized from the T7/Z32 orbifold construction. The Hamiltonian H of theory T7 target has discrete spectrum. Within symmetries associated large diffeomorphisms, Z2 × group automorphisms quaternionic subspaces preserving octonionic structure is relevant. By performing corresponding identification space, may be formulated manifold, discreteness its supersymmetric 4D low...

We perform a non-perturbative analysis to the Hamiltonian constraint of lowest-order effective action complete Horava theory, which includes (\partial_i \ln N)^2 term in Lagrangian. cast this as partial differential equation for N and show that solution exists is unique under condition positivity metric its conjugate momentum. interpret analog spatial scalar curvature general relativity. From we extract several properties N: an upper bound on absolute value asymptotic behavior. In...

We find the static spherically symmetric solutions (with vanishing shift function) of complete nonprojectable Ho\ifmmode \check{r}\else \v{r}\fi{}ava theory explicitly, writing space-time metrics as explicit tensors in local coordinate systems. This completes previous work other authors who have studied same configurations. The depend on coupling constant $\ensuremath{\alpha}$ $({\ensuremath{\partial}}_{i}\mathrm{ln}N{)}^{2}$ term. $\ensuremath{\lambda}=1/3$ case does not possess any extra...

An extension of the super Korteweg–de Vries (KdV) integrable system in terms operator valued functions is obtained. Following ideas Gardner, a general algebraic approach for finding infinitely many conserved quantities systems presented. The applied to above described and are constructed. In particular case they reduce corresponding KdV.

The quantization of a class dynamical systems subject to second constraints that allows an analysis in terms associated gauge theories with first is discussed. comparison early approaches done. approach applied the self-dual formulation spin one massive excitations 3 dimensions. quantum equivalence corresponding invariant Chern–Simons topological model analyzed.

We analyze the electromagnetic-gravity interaction in a pure Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz framework. To do so we formulate gravity $4+1$ dimensions and perform Kaluza-Klein reduction to $3+1$ dimensions. use this as mathematical procedure obtain coupled theory, which at end is considered fundamental, self-consistent theory. The critical value of dimensionless coupling constant kinetic term action $\ensuremath{\lambda}=1/4$. It conformal point for nonrelativistic...

We describe a compactified Supermembrane, or M2-brane, with 2-form fluxes generated by constant three-forms that are turned on 2-torus of the target space $M_9\times T^2$. compare this theory one describing $11D$ M2-brane formulated T^2$ subject to an irreducible wrapping condition. show flux bosonic 3-form under consideration is in correspondence After canonical transformation both Hamiltonians exactly same up shift particular case. Consequently them, share spectral properties. conclude...

The spectrum of the Hamiltonian double compactified D=11 supermembrane with non-trivial central charge or equivalently non-commutative symplectic super Maxwell theory is analyzed. In distinction to what occurs for in Minkowski target space where bosonic potential presents string-like spikes which render supersymmetric model continuous, we prove that membrane strictly positive definite and becomes infinity all directions when norm configuration goes infinity. This ensures resolvent compact....