Starting from a manifestly Lorentz– and diffeomorphism–invariant classical action we perform a perturbative derivation of the gravitational anomalies for chiral bosons in 4n + 2 dimensions. The manifest classical invariance is achieved using a newly developed method based on a scalar auxiliary field and two new bosonic local symmetries. The resulting anomalies coincide with the ones predicted b...

We present the effective action and self-consistency equations for the bosonic dynamical mean field approximation to the bosonic Hubbard model and show that it provides remarkably accurate phase diagrams and correlation functions. To solve the bosonic dynamical mean field equations, we use a continuous-time Monte Carlo method for bosonic impurity models based on a diagrammatic expansion in the ...

We construct analytic solutions of open bosonic string field theory for any exactly marginal deformation in any boundary conformal field theory when properly renormalized operator products of the marginal operator are given. We explicitly provide such renormalized operator products for a class of marginal deformations which include the deformations of flat D-branes in flat backgrounds by consta...

We study localization of bosonic bulk fields on a string-like defect with codimension 2 in a general space-time dimension in detail. We show that in cases of spin 0 scalar and spin 1 vector fields there are an infinite number of massless Kaluza-Klein (KK) states which are degenerate with respect to the radial quantum number, but only the massless zero mode state among them is coupled to fermion...

We study realizations of polynomial deformations of the sl(2, ℜ)-Lie algebra in terms of differential operators strongly related to bosonic operators. We also distinguish their finite-and infinite-dimensional representations. The linear, quadratic and cubic cases are explicitly visited but the method works for arbitrary degrees in the polynomial functions. Specific physical Hamiltonians are obt...

Actions for D = 2, N = 2 supergravity coupled to a scalar field are calculated, and it is shown that the most general power-counting renormalizable dilaton gravity action has an N = 2 locally supersymmetric extension. The presence of chiral terms in the action leads one to hope that non-renormalization theorems similar to those in global SUSY will apply; this would eliminate some of the renorma...

We propose a complete Born–Infeld–like action for a bosonic 5–brane with a worldvolume chiral field in a background of gravitational and antisymmetric gauge fields ofD = 11 supergravity. When the five–brane couples to a three–rank antisymmetric gauge field, local symmetries of the five–brane require the addition to the action of an appropriate Wess–Zumino term. To preserve general coordinate an...

Dimensional reduction of generalized gravity theories or string theories generically yields dilaton fields in the lower-dimensional effective theory. Thus at the level of D=4 theories, and cosmology many models contain more than just one scalar field (e.g. inflaton, Higgs, quintessence). Our present work is restricted to two-dimensional gravity theories with only two dilatons which nevertheless...

In the framework of the compactified closed bosonic string theory with the extra spatial coordinates being circular with radius R, we perform both the zero-slope limit and the R → 0 limit of the tree scattering amplitude of four massless scalar particles. We explicitly show that this double limit leads to amplitudes involving scalars which interact through the exchange of a scalar, spin 1 and s...

Derivative expansion for the effective action of chiral gauge fermions. The normal parity component. Abstract Explicit exact formulas are presented, up to fourth order in a strict chi-ral covariant derivative expansion, for the normal parity component of the Euclidean effective action of even-dimensional Dirac fermions. The bosonic background fields considered are scalar, pseudo-scalar, vector ...