2014/11/30 by Finn Larsen, Pedro Lisbao, Pedro Lisbão · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Cosmology and Gravitation Theories #Fermion #Gauge (firearms) #Gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spectrum (functional analysis) #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.91.084056
published as Phys. Rev. D 91, 084056 (2015) · 46 pages + appendices. V2 has minor typos fixed, and an extra appendix
arxiv created 2015/02/20 · openalex publication_date 2015/04/29 · arxiv updated 2015/05/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We compute the off-shell spectrum of supergravity on AdS2\ifmmode×\else\texttimes\fiS2 by explicit diagonalization of the equations of motion for an effective AdS2 theory where all fields are dualized to scalars and spin-(1)/(2) fermions. We classify all bulk modes as physical, gauge violating, and pure gauge then compute the physical spectrum by explicit cancellation of unphysical modes. We identify boundary modes as physical fields on S2 that are formally pure gauge but with gauge function that is non-normalizable on AdS2. As an application we compute the leading quantum correction to AdS2\ifmmode×\else\texttimes\fiS2 as a sum over physical fields including boundary states. The result agrees with a previous computation by Sen [1] where unphysical modes were canceled by ghosts.