Weyl Invariance and Spurious Black Hole in Two-Dimensional Dilaton Gravity

In two-dimensional dilaton gravity theories, there may exist a global Weyl invariance which makes black hole spurious. If the global invariance and the local Weyl invariance of the matter coupling are intact at the quantum level, there is no Hawking radiation. We explicitly verify the absence of anomalies in these symmetries for the model proposed by Callan, Giddings, Harvey and Strominger. The crucial observation is that the conformal anomaly can be cohomologically trivial and so not truly anomalous in such dilaton gravity models.Comment: 28 pages, KANAZAWA-93-0

Super-Virasoro Anomaly, Super-Weyl Anomaly and the Super-Liouville Action for 2D Supergravity

The relation between super-Virasoro anomaly and super-Weyl anomaly in $N=1$ NSR superstring coupled with 2D supergravity is investigated from canonical theoretical view point. The WZW action canceling the super-Virasoro anomaly is explicitly constructed. It is super-Weyl invariant but nonlocal functional of 2D supergravity. The nonlocality can be remedied by the super-Liouvlle action, which in turn recovers the super-Weyl anomaly. The final gravitational effective action turns out to be local but noncovariant super-Liouville action, describing the dynamical behavior of the super-Liouville fields. The BRST invariance of this approach is examined in the superconformal gauge and in the light-cone gauge.Comment: 45 page

カルタン空間におけるC-分解可能性について

We introduce the conception of C-reducibility in Cartan space, and show that a Cartan space endowed with (.ALPHA.,.BETA.)-metric is C-reducible, if and only if the metric is only of Randers\u27 or Kropina\u27s type. This is the main theorem in this paper. Moreover, we consider C-reducibility in Cartan space endowed with a generalized Randers metric which derived from a usual Cartan metric by .BETA.-change. We prove that the space with the generalized metric is C-reducible if the space with original metric is C-reducible, and that the converse is true.投稿論

ON AREAL SPACES BASED ON THE FUNDAMENTAL FUNCTION F = α² / β (Ⅱ)

We consider the necessary and sufficient condition for a sufficient for a special areal space A^(m)_n to belong to the semi-metric clas

Axial anomaly with the overlap-Dirac operator in arbitrary dimensions

We evaluate for arbitrary even dimensions the classical continuum limit of the lattice axial anomaly defined by the overlap-Dirac operator. Our calculational scheme is simple and systematic. In particular, a powerful topological argument is utilized to determine the value of a lattice integral involved in the calculation. When the Dirac operator is free of species doubling, the classical continuum limit of the axial anomaly in various dimensions is combined into a form of the Chern character, as expected.Comment: 9 pages, uses JHEP.cls and amsfonts.sty, the final version to appear in JHE

Implantable Cardioverter Defibrillator in a Patient with Eisenmenger Syndrome after Senning Repair for Transposition of the Great Arteries

An implantation of a cardioverter-defibrillator was attempted in a 32-year-old man with atrial tachycardia, ventricular tachycardia and sinus node dysfunction. He had undergone a Senning operation and half closure of ventricular septal defect in order to correct a transposition of the great arteries. Cardiac catheterization revealed severe pulmonary hypertension and Eisenmenger syndrome. Prior knowledge of the complex cardiac anatomy obtained by magnetic resonance imaging helped in determining the suitable site for implanting the leads and planning the procedural strategy. With repletion of a large amount of saline and oral anticoagulation with warfarin, no complications related to thromboembolism occurred during a 10-month follow-up period