U\((N|M)\) quantum mechanics on Kähler manifolds

DOI10.1007/JHEP05(2010)020zbMath1288.81130arXiv1003.1046OpenAlexW1997597059MaRDI QIDQ2451521

Roberto Bonezzi, Fiorenzo Bastianelli

Publication date: 3 June 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1046

zbMATH Keywords

sigma modelsextended supersymmetry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Kähler-Einstein manifolds (32Q20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (5)

U(\(N\)) Yang-Mills in non-commutative space time ⋮ Quaternionic Kähler detour complexes and \({\mathcal{N} = 2}\) supersymmetric black holes ⋮ Extended SUSY quantum mechanics: transition amplitudes and path integrals ⋮ Quantum theory of massless (\(p\), 0)-forms ⋮ Half-integer higher spin fields in (A)dS from spinning particle models

Cites Work

• Mode regularization for \(N = 1,2\) SUSY sigma model
• Unconstrained higher spins of mixed symmetry II. Fermi fields
• Supersymmetric quantum mechanics and super-Lichnerowicz algebras
• Unconstrained higher spins of mixed symmetry I. Bose fields
• The topological B model as a twisted spinning particle
• Kähler spinning particles
• Loop calculations in quantum-mechanical non-linear sigma models
• Loop calculations in quantum mechanical nonlinear sigma models with fermions and applications to anomalies
• Massless Poincaré modules and gauge invariant equations
• Curvature and Betti Numbers. II
• CONFORMAL INVARIANCE, N-EXTENDED SUPERSYMMETRY AND MASSLESS SPINNING PARTICLES IN ANTI-DE SITTER SPACE
• BRST detour quantization: Generating gauge theories from constraints
• Path Integrals and Anomalies in Curved Space
• Dimensional regularization of the path integral in curved space on an infinite time interval
• Dimensional regularization of nonlinear sigma models on a finite time interval
• Reparametrization invariance of path integrals

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