Local rings of singularities and \(N=2\) supersymmetric quantum mechanics

DOI10.1007/BF02100028zbMath0724.58066OpenAlexW1565183890MaRDI QIDQ757947

Andrzej Lesniewski, Sławomir Klimek-Chudy

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02100028

zbMATH Keywords

Stein manifoldsupersymmetric quantum mechanicsindex theoremvanishing theorem\(L^ 2\)-cohomologysmooth cohomology\({\bar \partial }\)-operatorHodge-type theoremresidues of meromorphic n-formsspaces of harmonic forms

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Index theory and related fixed-point theorems on manifolds (58J20) Supersymmetry and quantum mechanics (81Q60) Applications of PDEs on manifolds (58J90) Classical real and complex (co)homology in algebraic geometry (14F25) Differential forms in global analysis (58A10) Hodge theory in global analysis (58A14) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Stein spaces (32E10)

Related Items (10)

\(N=2\) supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials. ⋮ HEAT KERNELS FOR PERTURBED DIRAC OPERATORS ON EVEN-DIMENSIONAL MANIFOLDS WITH BOUNDED GEOMETRY ⋮ The smooth cohomology of \(N=2\) supersymmetric Landau-Ginzburg field theories ⋮ Generalized supersymmetric quantum mechanics on Riemann surfaces with meromorphic superpotentials ⋮ Berry phase and supersymmetric topological index ⋮ Calabi-Yau geometry, primitive form and mirror symmetry ⋮ INDEX THEORY OF PERTURBED DOLBEAULT OPERATORS: SMOOTH POLAR DIVISORS ⋮ On the \(L^2\)-Hodge theory of Landau-Ginzburg models ⋮ Perturbed Dolbeault operators and the homology Todd class ⋮ Vacuum geometry of the \(N=2\) Wess-Zumino model

Cites Work

• Ground state structure in supersymmetric quantum mechanics
• Some quantum operators with discrete spectrum but classically continuous spectrum
• The two-dimensional, \(N=2\) Wess-Zumino model on a cylinder
• A priori estimates for \(N=2\) Wess-Zumino models on a cylinder
• Stochastic and parastochastic aspects of supersymmetric functional measures: A new non-perturbative approach to supersymmetry
• Riemannsche Hebbarkeitssätze für Cohomologieklassen
• The uncertainty principle
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