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(Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects
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Space-time symmetries are a crucial ingredient of any theoretical model in physics. Unlike internal symmetries, which may or may not be gauged and/or spontaneously broken, space-time symmetries do not admit any ambiguity: they are gauged by gravity, and any conceivable physical system (other than the vacuum) is bound to break at least some of them. Motivated by this observation, we study how to couple gravity with the Goldstone fields that non-linearly realize spontaneously broken space-time symmetries. This can be done in complete generality by weakly gauging the Poincare symmetry group in the context of the coset construction. To illustrate the power of this method, we consider three kinds of physical systems coupled to gravity: superfluids, relativistic membranes embedded in a higher dimensional space, and rotating point-like objects. This last system is of particular importance as it can be used to model spinning astrophysical objects like neutron stars and black holes. Our approach provides a systematic and unambiguous parametrization of the degrees of freedom of these systems.
Forward citations
Cited by 7 Pith papers
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Dynamical Tidal Response of Schwarzschild Black Holes
The dynamical Love numbers of a Schwarzschild black hole are nonzero at quadratic order in frequency, run logarithmically with a coefficient set by dissipation, and are now matched including their finite, scheme-depen...
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Symmetry TFTs for Continuous Spacetime Symmetries
Continuous spacetime symmetries can be encoded in a (d+1)-dimensional BF/Chern-Simons topological field theory, whose boundary reproduces symmetry generators, symmetry breaking, and anomalies.
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Higher-Dimensional Black Holes and Effective Field Theory
Higher-dimensional spinning black holes generally have nonzero scalar tidal Love numbers, with patterns of zeroes in special limits, computed via point-particle EFT matching.
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Effective Field Theory of Gravity to All Orders
The authors derive the complete non-redundant operator basis for gravity coupled to the Standard Model up to mass dimension 8, and for pure gravity up to dimension 10.
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Neutron Stars as Perfect Fluids: Extracting the Linearized Response Function
A covariant effective-field-theory derivation expresses a neutron star's quadrupolar tidal response as a sum over internal oscillation modes, with each mode's strength set by overlap and normalization integrals.
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Shift symmetries, soft limits, and the double copy beyond leading order
For higher-derivative corrections, shift symmetry no longer guarantees double-copy compatibility; even-point amplitudes can be made compatible by tuning coefficients, odd-point ones cannot.
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Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
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