Semantic Scholar Open Access 2007 16 sitasi

Conformal invariant powers of the Laplacian, Fefferman–Graham ambient metric and Ricci gauging

R. Manvelyan K. Mkrtchyan R. Mkrtchyan

Lihat Sumber DOI

Abstrak

Abstract The hierarchy of conformally invariant kth powers of the Laplacian acting on a scalar field with scaling dimensions Δ ( k ) = k − d / 2 , k = 1 , 2 , 3 , as obtained in the recent work [R. Manvelyan, D.H. Tchrakian, Phys. Lett. B 644 (2007) 370, hep-th/0611077 ] is rederived using the Fefferman–Graham ( d + 2 ) -dimensional ambient space approach. The corresponding mysterious “holographic” structure of these operators is clarified. We explore also the ( d + 2 ) -dimensional ambient space origin of the Ricci gauging procedure proposed by A. Iorio, L. O'Raifeartaigh, I. Sachs and C. Wiesendanger as another method of constructing the Weyl invariant Lagrangians. The corresponding gauged ambient metric, Fefferman–Graham expansion and extended Penrose–Brown–Henneaux transformations are proposed and analyzed.

Topik & Kata Kunci

Physics

Penulis (3)

R. Manvelyan

K. Mkrtchyan

R. Mkrtchyan

Format Sitasi

APA MLA BibTeX

Manvelyan, R., Mkrtchyan, K., Mkrtchyan, R. (2007). Conformal invariant powers of the Laplacian, Fefferman–Graham ambient metric and Ricci gauging. https://doi.org/10.1016/j.physletb.2007.10.014

Akses Cepat

Lihat di Sumber doi.org/10.1016/j.physletb.2007.10.014

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Total Sitasi: 16×
Sumber Database: Semantic Scholar
DOI: 10.1016/j.physletb.2007.10.014
Akses: Open Access ✓