The asymptotic charges of the Curtright dual graviton in D=5 split into scalar, vector, and TT sectors that close into an abelian extension of a BMS-like algebra when the vector parameter is restricted to o(4).
de Aguiar Alves and A.G.S
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abstract
Over the last few decades, a rich structure has been uncovered in the infrared sector of various field theories. This mostly comes through the connections between memory effects, asymptotic symmetries, and soft theorems (the ``infrared triangle''), which have been explored in much depth within high-energy physics. In this paper, we show how sound also admits an infrared triangle. We consider the linear perturbations of the Euler equations for a barotropic and irrotational fluid. We then show how low-frequency changes in an acoustic source can lead to lasting displacements of fluid particles. We proceed to write these linear perturbations in terms of a two-form potential -- a Kalb--Ramond field, in the high-energy physics terminology. This phrases linear sound as a gauge theory. Standard techniques can then be used to probe the infrared structure of acoustics. We show how the memory effect relates to asymptotic symmetries in this dual formulation, and comment on how these notions can be connected to soft theorems. This exhibits an example of an infrared triangle in a condensed matter system and provides new pathways to the experimental detection of memory effects.
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Schrödinger equation is locally equivalent to a non-relativistic gauge theory via one-form or two-form gauge fields on the probability current, with global topology from phase winding quantization.
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The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra
The asymptotic charges of the Curtright dual graviton in D=5 split into scalar, vector, and TT sectors that close into an abelian extension of a BMS-like algebra when the vector parameter is restricted to o(4).
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The Schrodinger Equation as a Gauge Theory
Schrödinger equation is locally equivalent to a non-relativistic gauge theory via one-form or two-form gauge fields on the probability current, with global topology from phase winding quantization.