arXiv subjects

Y. Tanii

Publications and source records attributed to Y. Tanii.

23 records · Page 2Linked to original sources

arXiv1994

Superconformal Sigma Models in Higher Than Two Dimensions

Rigidly superconformal sigma models in higher than two dimensions are constructed. These models rely on the existence of conformal Killing spinors on the $p+1$ dimensional worldvolume $(p\le 5)$, and homothetic conformal Killing vectors in the $d$--dimensional target space. In the bosonic case, substituting into the action a particular form of the target space metric admitting such Killing vectors, we obtain an action with manifest worldvolume conformal symmetry, which describes the coupling of $d-1$ scalars to a conformally flat metric on the worldvolume. We also construct gauged sigma models with worldvolume conformal supersymmetry. The models considered here are generalizations of the singleton actions on $S^p\times S^1$, constructed sometime ago by Nicolai and these authors.

hep-th↗

arXiv1994

Dilaton Gravity in $2+ε$ Dimensions

Quantum theory of dilaton gravity is studied in $2+ε$ dimensions. Divergences are computed and renormalized at one-loop order. The mixing between the Liouville field and the dilaton field eliminates $1/ε$ singularity in the Liouville-dilaton propagator. This smooth behavior of the dilaton gravity theory in the $ε\rightarrow 0$ limit solves the oversubtraction problem which afflicted the higher orders of the Einstein gravity in $2+ε$ dimensions. As a nontrivial fixed point, we find a dilaton gravity action which can be transformed to a CGHS type action.

hep-th↗

arXiv1993

Physical Scaling and Renormalization Group in Two-Dimensional Gravity

Quantum gravitational effects on the renormalization group equation are studied in the $(2+ε)$-dimensional approach. Divergences in a matter one-loop effective action do not receive gravitational radiative corrections. The renormalization factor for beta functions recently found by Klebanov, Kogan and Polyakov is obtained by using the renormalized cosmological constant to define the physical scale transformation.

hep-th↗

arXiv1993

Supergravity in $2+ε$ Dimensions

Supergravity theory in $2+ε$ dimensions is studied. It is invariant under supertransformations in 2 and 3 dimensions. One-loop divergence is explicitly computed in the background field method and a nontrivial fixed point is found. In quantizing the supergravity, a gauge fixing condition is devised which explicitly isolates conformal and superconformal modes. The renormalization of the gravitationally dressed operators is studied and their anomalous dimensions are computed. Problems to use the dimensional reduction are also examined.

hep-th↗

arXiv1992

Correlation Functions in Two-Dimensional Dilaton Gravity

The Liouville approach is applied to the quantum treatment of the dilaton gravity in two dimensions. The physical states are obtained from the BRST cohomology and correlation functions are computed up to three-point functions. For the $N=0$ case (i.e., without matter), the cosmological term operator is found to have the discrete momentum that plays a special role in the $c=1$ Liouville gravity. The correlation functions for arbitrary numbers of operators are found in the $N=0$ case, and are nonvanishing only for specific ``chirality'' configurations.

hep-th↗