Hydrodynamics of R-charged D1-branes

David, Justin R.; Mahato, Manavendra; Thakur, Somyadip; Wadia, Spenta R.

doi:10.1007/jhep01(2011)014

Cited by 12 publications

(26 citation statements)

References 38 publications

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“…The leading dispersion relation for these modes, without anomalous terms in the constitutive relations for the stress tensor and the charge JHEP11(2015)048 current, was obtained in [24]. In this section we would like to show that due to the presence of anomalous terms, proportional to ζ (2) and λ (2) in the constitutive relation, the charge diffusion mode acquires a non-zero speed.…”

Section: Hydrodynamic Modes In D = 2 Weyl Gasmentioning

confidence: 89%

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Anomalous transport at weak coupling

Chowdhury

David

2015

J. High Energ. Phys.

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Abstract:We evaluate the contribution of chiral fermions in d = 2, 4, 6, chiral bosons, a chiral gravitino like theory in d = 2 and chiral gravitinos in d = 6 to all the leading parity odd transport coefficients at one loop. This is done by using finite temperature field theory to evaluate the relevant Kubo formulae. For chiral fermions and chiral bosons the relation between the parity odd transport coefficient and the microscopic anomalies including gravitational anomalies agree with that found by using the general methods of hydrodynamics and the argument involving the consistency of the Euclidean vacuum. For the gravitino like theory in d = 2 and chiral gravitinos in d = 6, we show that relation between the pure gravitational anomaly and parity odd transport breaks down. From the perturbative calculation we clearly identify the terms that contribute to the anomaly polynomial, but not to the transport coefficient for gravitinos. We also develop a simple method for evaluating the angular integrals in the one loop diagrams involved in the Kubo formulae. Finally we show that charge diffusion mode of an ideal 2 dimensional Weyl gas in the presence of a finite chemical potential acquires a speed, which is equal to half the speed of light.

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Section: Hydrodynamic Modes In D = 2 Weyl Gasmentioning

confidence: 89%

“…It will be also interesting to study the effect of the anomalous transport coefficients for other relativistic systems in 1 + 1 dimensions. One such example is the charged D1-brane which was studied in [24].…”

Section: Jhep11(2015)048mentioning

confidence: 99%

Anomalous transport at weak coupling

Chowdhury

David

2015

J. High Energ. Phys.

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“…We note that [5,6,28,88] have studied specific aspects of transport in this particular set-up up to second order in gradients, but the full set of constitutive relations require turning on all possible background sources has yet to be done. Another direction to consider is neutral fluids without Weyl invariance, but since the simplest set-ups realizable holographically secretly enjoy higher dimensional conformal invariance [102] (see also [103,104]) it is easy to intuit that these analyses won't provide more detailed insight (see however [105] for explicit conformal symmetry breaking by sources). One could perhaps also make use of higher derivative gravitational theories, though in that case care must be exercised to ensure that one is dealing with a unitary QFT dual.…”

Section: Homework Problemsmentioning

confidence: 99%

“…It has been known for a very long time, starting from the seminal work of [40], that holographic fluids tend to want to minimize the shear viscosity and saturate the famous bound [87]. 104 The low value of shear viscosity implies that these fluids minimize their entropy production for arbitrary flows. Fascinatingly, this statement also appears to be upheld at the next order in gradients.…”

Section: Jhep05(2015)060mentioning

confidence: 99%

Adiabatic hydrodynamics: the eightfold way to dissipation

Haehl

Loganayagam

Rangamani

2015

J. High Energ. Phys.

135

373

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Hydrodynamics is the low-energy effective field theory of any interacting quantum theory, capturing the long-wavelength fluctuations of an equilibrium Gibbs density matrix. Conventionally, one views the effective dynamics in terms of the conserved currents, which should be expressed via the constitutive relations in terms of the fluid velocity and the intensive parameters such as the temperature, chemical potential, etc. . . However, not all constitutive relations are acceptable; one has to ensure that the second law of thermodynamics is satisfied on all physical configurations. In this paper, we provide a complete solution to hydrodynamic transport at all orders in the gradient expansion compatible with the second law constraint.The key new ingredient we introduce is the notion of adiabaticity, which allows us to take hydrodynamics off-shell. Adiabatic fluids are such that off-shell dynamics of the fluid compensates for entropy production. The space of adiabatic fluids is quite rich, and admits a decomposition into seven distinct classes. Together with the dissipative class this establishes the eightfold way of hydrodynamic transport. Furthermore, recent results guarantee that dissipative terms beyond leading order in the gradient expansion are agnostic of the second law. While this completes a transport taxonomy, we go on to argue for a new symmetry principle, an Abelian gauge invariance that guarantees adiabaticity in hydrodynamics. We suggest that this symmetry is the macroscopic manifestation of the microscopic KMS invariance. We demonstrate its utility by explicitly constructing effective actions for adiabatic transport. The theory of adiabatic fluids, we speculate, provides a useful starting point for a new framework to describe non-equilibrium dynamics, wherein dissipative effects arise by Higgsing the Abelian symmetry.

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“…It is evident that T-duality is an important symmetry and it has played a very important role to generate new background configuration from known ones. Especially, it has been utilized very crucially in study of string cosmology [13,14] and in the physics of stringy back holes from diverse directions [19,21,22]. The purpose of this article is to exhibit how T-duality can be applied to study scattering of string states.…”

Section: Introductionmentioning

confidence: 99%

T-duality and scattering of stringy states

Maharana

2014

Int. J. Mod. Phys. A

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We present a procedure for application of T -duality transformation on scattering amplitudes of closed bosonic stringy states. These states arise due to compactification of closed string to lower spacetime dimensions through dimensional reduction. The amplitude, in the first quantized formalism, is computed by introducing vertex operators. The amplitude is constructed by the standard prescription and the vertex operators are required to respect conformal invariance. Such vertex operators are constructed in the weak field approximation. Therefore, the vertex operators of the stringy states of our interest are to be defined accordingly. We propose a prescription to implement T -duality on the three point functions and N-point functions. We argue that it is possible to generate new amplitudes through the transformations on a given amplitude just as T-duality transformations can take us to a new set of string vacuum when acted upon an initial set. Explicit examples are given for three point and four point functions.

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Hydrodynamics of R-charged D1-branes

Cited by 12 publications

References 38 publications

Anomalous transport at weak coupling

Anomalous transport at weak coupling

Adiabatic hydrodynamics: the eightfold way to dissipation

T-duality and scattering of stringy states

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