Generalized framework for auxiliary extra dimensions |
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Authors: | Lasha Berezhiani Mehrdad Mirbabayi |
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Institution: | Center for Cosmology and Particle Physics, Department of Physics, New York University, New York, NY 10003, USA |
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Abstract: | The theory of gravity with an auxiliary extra dimension is known to give the ghost-free cubic completion of the Fierz-Pauli mass term in the decoupling limit. Our work generalizes the boundary condition in the auxiliary dimension that avoids ghosts order-by-order, and to all orders, in the decoupling limit. Furthermore, we extend the formalism to the case of many auxiliary dimensions, and we show that the multi-dimensional extension with the rotationally invariant boundaries of the bulk, is equivalent to the model with a single auxiliary dimension. The above constructions require the appropriate adjustment of the boundary condition, which we discuss in detail. The other possible extension of the original model by the Gauss-Bonnet term is studied as well. |
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Keywords: | Massive gravity Extra dimension Gauge theory Boulware-Deser ghost |
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