Forced fluid dynamics from blackfolds in general supergravity backgrounds

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A theory of parity-invariant dissipative fluids with q-form 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 q-dimensional 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 parity-even 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 higher-form 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 higher-form symmetries.fluid dynamics [4][5][6][7][8][9]; the establishment of a framework for describing interfaces between different fluid phases [10-12]; a new formalism for studying non-relativistic fluids [13][14][15][16]; and the development of hydrodynamic theories with generalised global 1-form symmetries and their connections to magnetohydrodynamics [17][18][19][20] as well as their role in the understanding of effective theories with translational symmetry breaking and states with dynamical defects [21]. This paper introduces a framework for building effective hydrodynamic theories of dissipative fluids with q-form symmetries, generalising previous work for q = 0, 1. These effective theories correspond to the hydrodynamic limit of microscopic descriptions whose underlying fundamental charged objects are q-dimensional (i.e. q-dimensional branes). These q-dimensional objects couple to a background gauge field A q+1 . In the language of [22], these fluids describe microscopic systems with a generalised q-form global symmetry. Associated with the q-form symmetry is a (q + 1)-form current J whose integral over a (D − q − 1) dimensional hypersurface M Γ yields a conserved dipole charge( 1.1) where the operator is the Hodge dual operator in D-dimensional spacetime. This dipole charge counts the number of q-dimensional objects that cross the (D − q − 1)-dimensional hypersurface M Γ . 1 The hydrodynamic theories constructed here capture the collective excitations of these charged q-dimensional objects around a state of thermal equilibrium.

Section: )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dissipative hydrodynamics with higher-form symmetry

Armas

Gath

Jain

et al. 2018

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“…The general leading order blackfold equations in M-theory in the presence of background fluxes were derived in [26]. They can be written in the form…”

Section: Blackfold Equationsmentioning

confidence: 99%

Thermal transitions of metastable M-branes

Armas

Nguyen

Niarchos

et al. 2019

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We use blackfold methods to analyse the properties of putative supergravity solutions in M-theory that describe the backreaction of polarised anti-M2 branes (namely, M5 branes wrapping three-cycles with negative M2-brane charge) in the Cvetic-Gibbons-Lu-Pope background of eleven-dimensional supergravity. At zero temperature we recover the metastable state of Klebanov and Pufu directly in supergravity. At finite temperature we uncover a previously unknown pattern of mergers between fat or thin M5-brane states with the thermalised version of the metastable state. At sufficiently small values of the anti-brane charge a single fat-metastable merger follows the same pattern recently discovered for polarised anti-D3-branes in the Klebanov-Strassler solution in type IIB supergravity. We provide quantitative evidence that this merger is driven by properties of the horizon geometry. For larger values of the anti-brane charge the wrapped M5brane solutions exhibit different patterns of finite-temperature transitions that have no known counterpart in the anti-D3 system in Klebanov-Strassler.

“…Another systematic way to approach the effective field theory would be to consider high-order corrections in the blackfold approach [50,51], which we hope to adress in the future.…”

Section: Jhep03(2017)141mentioning

confidence: 99%

“…It could of course be that the metastable state at p = 1 has a very small gap such that the minimal temperature needed for a classical horizon already destabilises the vacuum [54]. This potential loophole might become visible by computing finite temperature corrections to probe actions, something that can be done in the blackfold approach [50,51].…”

Section: Jhep03(2017)141mentioning

confidence: 99%

Unstoppable brane-flux decay of D 6 ¯ $$ \overline{\mathrm{D}6} $$ branes

Danielsson

Gautason

Riet

2017

We investigate p D6 branes inside a flux throat that carries K × M D6 charges with K the 3-form flux quantum and M the Romans mass. In such a setup brane-flux annihilation can proceed through the nucleation of KK5 branes. We find that within the calculable supergravity regime where g s p is large, the D6 branes annihilate immediately against the fluxes despite the existence of a metastable state at small p/M in the probe approximation. The crucial property that causes this naive conflict with effective field theory is a singularity in the 3-form flux, which we cut off at string scale. Our result explains the absence of regular solutions at finite temperature and suggests there should be a smooth time-dependent solution. We also discuss the qualitative differences between D6 branes and D3 branes, which makes it a priori not obvious to conclude the same instability for D3 branes.