We calculate the superpartition function tr(-1)Fe-betaH with a continuous spectrum. This object d... more We calculate the superpartition function tr(-1)Fe-betaH with a continuous spectrum. This object depends explicitly on beta although it is a topological invariant with respect to compact perturbations of the potential. We show that it can be evaluated by reducing the relevant functional integral to an integral over constant configurations. The relationship with the open-space trace theorem of Callias, Bott and
We reconsider two-dimensional topological gravity in a functional and lagrangian framework. We de... more We reconsider two-dimensional topological gravity in a functional and lagrangian framework. We derive its Slavnov-Taylor identities and discuss its (in)dependence on the background gauge. Correlators of reparamerization invariant observables are shown to be globally defined forms on moduli space. The potential obstruction to their gauge-independence is the non-triviality of the line bundle on moduli space ${\cal L}_x$, whose first Chern-class
... A related observation is that only configurations of zero bo-0.031-9163/83/0000--0000/$ 03.00... more ... A related observation is that only configurations of zero bo-0.031-9163/83/0000--0000/$ 03.00 1983 North-Holland 69 Volume 132B, number 1,2,3 PHYSICS LETTERS ... exp (~/oX0 - ~0~0 - ~0~0) PI (1312.n)exp[--an(~12.n)Jn] [I (2.nl~)exp[-~nOY2.n)-~n]]] n4=O n4~Olly, l~,~.=O ...
ABSTRACT The lagrangian proposed by Siegel describing left- or right-moving scalars in two dimens... more ABSTRACT The lagrangian proposed by Siegel describing left- or right-moving scalars in two dimensions is analysed. The existence of anomalies is pointed out and a modification of the lagrangian leading to the elimination of anomalies is proposed. The generalization for chiral scalars defined on an arbitrary Riemann surface is discussed.
We consider the problem of the identification of observables in quantum gravity and discuss the p... more We consider the problem of the identification of observables in quantum gravity and discuss the possibility of exploiting the BRS cohomological approach. We consider the application of this approach to a very simple topological gauge model.
We calculate the superpartition function tr(-1)Fe-betaH with a continuous spectrum. This object d... more We calculate the superpartition function tr(-1)Fe-betaH with a continuous spectrum. This object depends explicitly on beta although it is a topological invariant with respect to compact perturbations of the potential. We show that it can be evaluated by reducing the relevant functional integral to an integral over constant configurations. The relationship with the open-space trace theorem of Callias, Bott and
We reconsider two-dimensional topological gravity in a functional and lagrangian framework. We de... more We reconsider two-dimensional topological gravity in a functional and lagrangian framework. We derive its Slavnov-Taylor identities and discuss its (in)dependence on the background gauge. Correlators of reparamerization invariant observables are shown to be globally defined forms on moduli space. The potential obstruction to their gauge-independence is the non-triviality of the line bundle on moduli space ${\cal L}_x$, whose first Chern-class
... A related observation is that only configurations of zero bo-0.031-9163/83/0000--0000/$ 03.00... more ... A related observation is that only configurations of zero bo-0.031-9163/83/0000--0000/$ 03.00 1983 North-Holland 69 Volume 132B, number 1,2,3 PHYSICS LETTERS ... exp (~/oX0 - ~0~0 - ~0~0) PI (1312.n)exp[--an(~12.n)Jn] [I (2.nl~)exp[-~nOY2.n)-~n]]] n4=O n4~Olly, l~,~.=O ...
ABSTRACT The lagrangian proposed by Siegel describing left- or right-moving scalars in two dimens... more ABSTRACT The lagrangian proposed by Siegel describing left- or right-moving scalars in two dimensions is analysed. The existence of anomalies is pointed out and a modification of the lagrangian leading to the elimination of anomalies is proposed. The generalization for chiral scalars defined on an arbitrary Riemann surface is discussed.
We consider the problem of the identification of observables in quantum gravity and discuss the p... more We consider the problem of the identification of observables in quantum gravity and discuss the possibility of exploiting the BRS cohomological approach. We consider the application of this approach to a very simple topological gauge model.
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