Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 7 (2011), 065, 13 pages      arXiv:1105.4829

Emergent Supersymmetry in Warped Backgrounds

Tomoaki Nagasawa a, Satoshi Ohya b, Kazuki Sakamoto c, d and Makoto Sakamoto d
a) Tomakomai National College of Technology, 443 Nishikioka, Tomakomai 059-1275, Japan
b) INFN and Dipartimento di Fisica, Università di Pisa, Largo Bruno Pontecorvo 3, 56127 Pisa, Italy
c) Present address: Materials Research Laboratory, Kobe Steel, Ltd., Japan
d) Department of Physics, Kobe University, 1-1 Rokkodai, Nada, Kobe 657-8501, Japan

Received May 27, 2011; Published online July 11, 2011

We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. These emergent supersymmetries play an essential role for the spectral structure of braneworld gravity. We show that for the case of braneworld models with two codimension-1 branes the spectral pattern is completely determined only through the supersymmetries.

Key words: supersymmetry; boundary condition; extra dimension.

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