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- W4206142405 abstract "A bstract We study the manifestly covariant and local 1-loop path integrals on S d +1 for general massive, shift-symmetric and (partially) massless totally symmetric tensor fields of arbitrary spin s ≥ 0 in any dimensions d ≥ 2. After reviewing the cases of massless fields with spin s = 1 , 2, we provide a detailed derivation for path integrals of massless fields of arbitrary integer spins s ≥ 1. Following the standard procedure of Wick-rotating the negative conformal modes, we find a higher spin analog of Polchinski’s phase for any integer spin s ≥ 2. The derivations for low-spin ( s = 0 , 1 , 2) massive, shift-symmetric and partially massless fields are also carried out explicitly. Finally, we provide general prescriptions for general massive and shift-symmetric fields of arbitrary integer spins and partially massless fields of arbitrary integer spins and depths." @default.
- W4206142405 created "2022-01-26" @default.
- W4206142405 creator A5046117661 @default.
- W4206142405 date "2021-12-01" @default.
- W4206142405 modified "2023-09-25" @default.
- W4206142405 title "A compendium of sphere path integrals" @default.
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- W4206142405 doi "https://doi.org/10.1007/jhep12(2021)213" @default.
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