<i>p</i>-brane Newton–Cartan geometry

Pereñiguez, David

doi:10.1063/1.5126184

Cited by 17 publications

(22 citation statements)

References 40 publications

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“…It would thus be very interesting to uncover how strings couple to the type II NC geometry and in particular whether the beta-functions of this putative theory reproduce our NRG theory. More generally, it would be interesting to see how branes couple to type II TNC geometry differently from type I TNC geometry as studied in [107,108].…”

Section: Discussion and Outlookmentioning

confidence: 99%

Non-relativistic gravity and its coupling to matter

Hansen

Hartong

Obers

2020

J. High Energ. Phys.

122

235

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We study the non-relativistic expansion of general relativity coupled to matter. This is done by expanding the metric and matter fields analytically in powers of 1/c 2 where c is the speed of light. In order to perform this expansion it is shown to be very convenient to rewrite general relativity in terms of a timelike vielbein and a spatial metric. This expansion can be performed covariantly and off shell. We study the expansion of the Einstein-Hilbert action up to next-to-next-to-leading order. We couple this to different forms of matter: point particles, perfect fluids, scalar fields (including an off-shell derivation of the Schrödinger-Newton equation) and electrodynamics (both its electric and magnetic limits). We find that the role of matter is crucial in order to understand the properties of the Newton-Cartan geometry that emerges from the expansion of the metric. It turns out to be the matter that decides what type of clock form is allowed, i.e. whether we have absolute time or a global foliation of constant time hypersurfaces. We end by studying a variety of solutions of non-relativistic gravity coupled to perfect fluids. This includes the Schwarzschild geometry, the Tolman-Oppenheimer-Volkoff solution for a fluid star, the FLRW cosmological solutions and anti-de Sitter spacetimes.

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Section: Discussion and Outlookmentioning

confidence: 99%

Non-relativistic gravity and its coupling to matter

Hansen

Hartong

Obers

2020

J. High Energ. Phys.

122

235

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“…However, in principle such 33 The case of spacelike submanifolds is also interesting to pursue as it can be useful for understanding entanglement entropy in nonrelativistic field theories [73]. 34 It would be interesting to understand the connection between this work and other recently considered constructions involving extended objects embedded in Newton-Cartan spacetime (or related geometries), such as nonrelativistic strings [30][31][32]74], nonrelativistic Dbranes [75], and Newton-Cartan p-branes [76]. It would also be interesting to connect this work to Ref.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Newton-Cartan submanifolds and fluid membranes

et al. 2020

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We develop the geometric description of submanifolds in Newton-Cartan spacetime. This provides the necessary starting point for a covariant spacetime formulation of Galilean-invariant hydrodynamics on curved surfaces. We argue that this is the natural geometrical framework to study fluid membranes in thermal equilibrium and their dynamics out of equilibrium. A simple model of fluid membranes that only depends on the surface tension is presented and, extracting the resulting stresses, we show that perturbations away from equilibrium yield the standard result for the dispersion of elastic waves. We also find a generalization of the Canham-Helfrich bending energy for lipid vesicles that takes into account the requirements of thermal equilibrium.

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“…18 Note that this is different from the Dp-brane limit considered in [4,9,11,31,32], which involves the RR charges. In the Dp-brane limit, there are no light strings left.…”

Section: Jhep03(2021)269mentioning

confidence: 96%

Nonrelativistic open string and Yang-Mills theory

Gomis

Yan

2021

J. High Energ. Phys.

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The classical and quantum worldsheet theory describing nonrelativistic open string theory in an arbitrary nonrelativistic open and closed string background is constructed. We show that the low energy dynamics of open strings ending on n coincident D-branes in flat spacetime is described by a Galilean invariant U(n) Yang-Mills theory. We also study nonrelativistic open string excitations with winding number and demonstrate that their dynamics can be encoded into a local gauge theory in one higher dimension. By demanding conformal invariance of the boundary couplings, the nonlinear equations of motion that govern the consistent open string backgrounds coupled to an arbitrary closed background (described by a string Newton-Cartan geometry, Kalb-Ramond, and dilaton field) are derived and shown to emerge from a Galilean invariant Dirac-Born-Infeld type action.

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p-brane Newton–Cartan geometry

Cited by 17 publications

References 40 publications

Non-relativistic gravity and its coupling to matter

Non-relativistic gravity and its coupling to matter

Newton-Cartan submanifolds and fluid membranes

Nonrelativistic open string and Yang-Mills theory

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