One-loop quantum gravity from the $\mathcal N=4$ spinning particle - INSPIRE

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One-loop quantum gravity from the $\mathcal N=4$ spinning particle

Fiorenzo Bastianelli
(
- U. Bologna, DIFA and
- INFN, Bologna and
- Potsdam, Max Planck Inst.
)
,
Roberto Bonezzi
(
- Humboldt U., Berlin
)
,
Olindo Corradini
(
- INFN, Bologna and
- Potsdam, Max Planck Inst. and
- Modena U.
)
,
Emanuele Latini
(
- INFN, Bologna and
- Bologna U., Dept. Math.
)

Sep 12, 2019

16 pages

Published in:

JHEP 11 (2019) 124

Published: Nov 21, 2019

e-Print:

1909.05750 [hep-th]

DOI:

10.1007/JHEP11(2019)124

View in:

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Abstract: (Springer)

We construct a spinning particle that reproduces the propagation of the graviton on those curved backgrounds which solve the Einstein equations, with or without cosmological constant, i.e. Einstein manifolds. It is obtained by modifying the

\mathcal{N}

= 4 supersymmetric spinning particle by relaxing the gauging of the full SO(4) R-symmetry group to a parabolic subgroup, and selecting suitable Chern-Simons couplings on the worldline. We test it by computing the correct one-loop divergencies of quantum gravity in D = 4.

Note:

11 pages, typos corrected in formulas (3.7), (3,9), (3.10) and (3.13) present in the published version, references updated

ERST Quantization
Models of Quantum Gravity
Sigma Models
particle: spin
supersymmetry: 4
graviton: propagation
space: Einstein
quantum gravity
cosmological constant
Einstein equation

References(31)

Figures(0)

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Fiorenzo Bastianelli
(
- INFN, Bologna and
- Bologna U.
)
,
Roberto Bonezzi
(
- INFN, Bologna and
- Bologna U.
)
,
Olindo Corradini
(
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)
,
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(
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)

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•
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(
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)
,
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(
- SUNY, Stony Brook
)

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(
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)
,
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(
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)
,
Olindo Corradini
(
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)
,
Emanuele Latini
(
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)

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)
,
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)
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)

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