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

被引:13
|
作者
Bastianelli, Fiorenzo [1 ,2 ,3 ]
Bonezzi, Roberto [4 ]
Corradini, Olindo [2 ,3 ,5 ]
Latini, Emanuele [2 ,6 ]
机构
[1] Univ Bologna, Dipartimento Fis & Astron, Via Irnerio 46, I-40126 Bologna, Italy
[2] Ist Nazl Fis Nucl, Sez Bologna, Via Irnerio 46, I-40126 Bologna, Italy
[3] Albert Einstein Inst, Max Planck Inst Gravitat Phys, Muhlenberg 1, D-14476 Golm, Germany
[4] Humboldt Univ, Inst Phys, Zum Grossen Windkanal 6, D-12489 Berlin, Germany
[5] Univ Modena & Reggio Emilia, Dipartimento Sci Fis Informat & Matemat, Via Campi 213-A, I-41125 Modena, Italy
[6] Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy
关键词
ERST Quantization; Models of Quantum Gravity; Sigma Models; CONFORMAL-INVARIANCE; BATALIN-VILKOVISKY; QUANTIZATION; DYNAMICS; BRST;
D O I
10.1007/JHEP11(2019)124
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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 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.
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页数:16
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