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Boundary Terms for Massless Fermionic Fields

Giampiero Esposito·Hugo A. Morales-Tecotl·Giuseppe Pollifrone
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Abstract

Local supersymmetry leads to boundary conditions for fermionic fields in one-loop quantum cosmology involving the Euclidean normal to the boundary and a pair of independent spinor fields. This paper studies the corresponding classical properties, i.e. the classical boundary-value problem and boundary terms in the variational problem. Interestingly, a link is found with the classical boundary-value problem when spectral boundary conditions are imposed on a 3-sphere in the massless case. Moreover, the boundary term in the action functional is derived.

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Giampiero Esposito, Hugo A. Morales-Tecotl, Giuseppe Pollifrone. 1995-06-29. Boundary Terms for Massless Fermionic Fields. https://arxiv.org/abs/gr-qc/9506076

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