Extended SUSY quantum mechanics: transition amplitudes and path integrals

DOI10.1007/JHEP06(2011)023zbMath1298.81142arXiv1103.3993MaRDI QIDQ466750

Fiorenzo Bastianelli, Roberto Bonezzi, Emanuele Latini, Olindo Corradini

Publication date: 27 October 2014

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

Full work available at URL: https://arxiv.org/abs/1103.3993

zbMATH Keywords

sigma modelsextended supersymmetry

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on curved space or space-time backgrounds (81T20) Path integrals in quantum mechanics (81S40)

Related Items (12)

Path integral calculation of heat kernel traces with first order operator insertions ⋮ One-loop quantum gravity from a worldline viewpoint ⋮ Mixed symmetry Wilson-loop interactions in the worldline formalism ⋮ Simplified path integral for supersymmetric quantum mechanics and type-A trace anomalies ⋮ Six-dimensional one-loop divergences in quantum gravity from the \(\mathcal{N} = 4\) spinning particle ⋮ Quantum theory of massless (\(p\), 0)-forms ⋮ Quantum mechanical path integrals in curved spaces and the type-A trace anomaly ⋮ Quantum theories of \((p, q)\)-forms ⋮ Effective action for higher spin fields on (A)dS backgrounds ⋮ One-loop quantum gravity from the \(N\) particle 4 spinning ⋮ Worldline description of a bi-adjoint scalar and the zeroth copy ⋮ Light bending from eikonal in worldline quantum field theory

Cites Work

• Mode regularization for \(N = 1,2\) SUSY sigma model
• Worldline formalism in a gravitational background
• Supersymmetric quantum mechanics and super-Lichnerowicz algebras
• Loop calculations in quantum-mechanical non-linear sigma models
• Loop calculations in quantum mechanical nonlinear sigma models with fermions and applications to anomalies
• Half-integer higher spin fields in (A)dS from spinning particle models
• U\((N|M)\) quantum mechanics on Kähler manifolds
• 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
• Supersymmetry and the Atiyah-Singer index theorem
• 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
• Perturbative quantum field theory in the string-inspired formalism

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