Dissipative hydrodynamics with higherform symmetry
Abstract
A theory of parityinvariant dissipative fluids with qform symmetry is formulated to first order in a derivative expansion. The fluid is anisotropic with symmetry SO( D  1  q) × SO( q) and carries dissolved qdimensional charged objects that couple to a ( q + 1)form background gauge field. The case q = 1 for which the fluid carries string charge is related to magnetohydrodynamics in D = 4 spacetime dimensions. We identify q+7 parityeven independent transport coefficients at first order in derivatives for q > 1. In particular, compared to the q = 1 case under the assumption of parity and charge conjugation invariance, fluids with q > 1 are characterised by q extra transport coefficients with the physical interpretation of shear viscosity in the SO( q) sector and current resistivities. We discuss certain issues related to the existence of a hydrostatic sector for fluids with higherform symmetry for any q ≥ 1. We extend these results in order to include an interface separating different fluid phases and study the dispersion relation of capillary waves finding clear signatures of anisotropy. The formalism developed here can be easily adapted to study hydrodynamics with multiple higherform symmetries.
 Publication:

Journal of High Energy Physics
 Pub Date:
 May 2018
 DOI:
 10.1007/JHEP05(2018)192
 arXiv:
 arXiv:1803.00991
 Bibcode:
 2018JHEP...05..192A
 Keywords:

 Effective Field Theories;
 Holography and condensed matter physics (AdS/CMT);
 Holography and quarkgluon plasmas;
 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 v2: 30 pages