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Superconformal quantum mechanics and growth of sheaf cohomology.
- Source :
-
Journal of High Energy Physics . Aug2023, Vol. 2023 Issue 8, p1-40. 40p. - Publication Year :
- 2023
-
Abstract
- We give a geometric interpretation for superconformal quantum mechanics defined on a hyper-Kähler cone which has an equivariant symplectic resolution. BPS states are identified with certain twisted Dolbeault cohomology classes on the resolved space and their index degeneracies can also be related to the Euler characteristic computed in equivariant sheaf cohomology. In the special case of the Hilbert scheme of K points on ℂ2, we obtain a rigorous estimate for the exponential growth of the index degeneracies of BPS states as K → ∞. This growth serves as a toy model for our recently proposed duality between a seven dimensional black hole and superconformal quantum mechanics. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM mechanics
*BLACK holes
*ALGEBRAIC geometry
*DIFFERENTIAL geometry
*CONES
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 171892433
- Full Text :
- https://doi.org/10.1007/JHEP08(2023)096