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Boundary conditions and Dirac fields on AdSn

Claudio Dappiaggi* and Andrea Parpinel†

  • *Contact author: claudio.dappiaggi@unipv.it
  • †Contact author: andrea.parpinel01@universitadipavia.it
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Phys. Rev. D 113, 125028 – Published 22 June, 2026

DOI: https://doi.org/10.1103/2t3p-pwz3

Abstract

We study Dirac fields on AdSn in both global and Poincaré charts and, for each mass window, we classify the boundary conditions at conformal infinity that ensure the existence of advanced and retarded propagators. We distinguish the well-known MIT–bag class from a generalized family, thereby extending to arbitrary dimensions the procedure initiated in [D. S. Blanco, J. Math. Phys. (N.Y.) 64, 032301 (2023).]. As in the scalar case, we show that suitable generalized boundary data can support bound states. In four dimensions, we work out two explicit examples: (i) the MIT case, for which we construct the advanced/retarded propagators and the two-point function of the associated ground state and (ii) a representative generalized boundary condition, for which we construct the propagators and exhibit a normalizable bound state.

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Phys. Rev. D 113, 125028– Published 22 June, 2026
  • Received 19 November 2025
  • Revised 23 March 2026
  • Accepted 14 May 2026
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