Super \(W_ n\) gravity on compactified moduli space. (English) Zbl 0865.58053
Summary: We study the divergent behavior of \(W\) gravity theories. As a tool, we use the Grothendieck-Riemann-Roch theorem on the compactified moduli space. We show that \(W_n\) gravity has severe divergences caused by negative masses. However, for superextension of \(W_n\) gravity the divergences by negative masses are miraculously cured by the counterpart contribution of superpartners.
MSC:
| 58Z05 | Applications of global analysis to the sciences |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 14C40 | Riemann-Roch theorems |
| 17B68 | Virasoro and related algebras |
Keywords:
super \(W_ n\) gravity; divergent behavior; Grothendieck-Riemann-Roch theorem; compactified moduli spaceReferences:
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