Related papers: Unitarity of SL(2)-conformal blocks in genus zero
We prove that the vector bundles of conformal blocks, on suitable moduli spaces of genus zero curves with marked points, for arbitrary simple Lie algebras and arbitrary integral levels, carry unitary metrics of geometric origin which are…
We survey some recent work on conformal blocks in genus zero, focussing on (1) Chern classes, global generation and morphisms, and (2) the Knizhnik--Zamolodchikov connection on conformal blocks (and invariants), their motivic realizations,…
We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus 0 for classical Lie algebras and $G_2$.
This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.
This paper has been withdrawn by arXiv administrators because of disputed claims of authorship among former collaborators
This paper has been withdrawn by the author. Improved versions (arXiv:1109.5548 and arXiv:0708.4190) are accepted.
This paper has been withdrawn. A more satisfactory account of the results it was supposed to present will appear in a series of papers starting with hep-th/9712256 and hep-th/9712258
This paper has been withdrawn by the authors. Because of a misunderstanding, the paper was submitted prematurely to the arXiv. A replacement will follow.
We relate the notion of unitarity of a $SL(2,\mathbf{R})$ invariant field theory with that of a Schrodinger field theory using the fact that $SL(2,\mathbf{R})$ is a subgroup of Schrodinger group. Exploiting $SL(2,\mathbf{R})$ unitarity, we…
This paper has been withdrawn by arXiv administrators because of an inappropriate amount of overlap with hep-th/0505013.
This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2073.
Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.
This paper has been withdrawn by the author; see the much expanded, improved, and generalized version at arXiv:0811.2080.
This paper has been administratively withdrawn by arXiv, duplicate of arXiv:1008.2691.
Withdrawn. We thank J. T. Liu for bringing an error in the manuscript to our attention.
This paper has been withdrawn by the author due to a error in attachment of source file.
This submission has been withdrawn at the request of the author.
The paper is withdrawn because the analysis appeared to be incomplete.
Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.
This article was withdrawn by the arXiv.org administrators since it plagiarizes math.AT/0401211.