Renormalization of Galilean electrodynamics

Chapman, Shira; Pietro, Lorenzo Di; Yan, Z.

doi:10.1007/jhep10(2020)195

Cited by 30 publications

(40 citation statements)

References 62 publications

(132 reference statements)

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“…This observation makes it tempting to perform a dimensional reduction along the ∂/∂x 1 direction leading to a theory in nine dimensions with a onedimensional foliation structure. Some aspects of such Galilean gauge theories have been studied in [13,48,49,56,57].…”

Section: Jhep12(2021)123mentioning

confidence: 99%

Non-relativistic ten-dimensional minimal supergravity

Bergshoeff

Lahnsteiner

Romanò

et al. 2021

J. High Energ. Phys.

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We construct a non-relativistic limit of ten-dimensional $$ \mathcal{N} $$ N = 1 supergravity from the point of view of the symmetries, the action, and the equations of motion. This limit can only be realized in a supersymmetric way provided we impose by hand a set of geometric constraints, invariant under all the symmetries of the non-relativistic theory, that define a so-called ‘self-dual’ Dilatation-invariant String Newton-Cartan geometry. The non-relativistic action exhibits three emerging symmetries: one local scale symmetry and two local conformal supersymmetries. Due to these emerging symmetries the Poisson equation for the Newton potential and two partner fermionic equations do not follow from a variation of the non-relativistic action but, instead, are obtained by a supersymmetry variation of the other equations of motion that do follow from a variation of the non-relativistic action. We shortly discuss the inclusion of the Yang-Mills sector that would lead to a non-relativistic heterotic supergravity action.

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Section: Jhep12(2021)123mentioning

confidence: 99%

Non-relativistic ten-dimensional minimal supergravity

Bergshoeff

Lahnsteiner

Romanò

et al. 2021

J. High Energ. Phys.

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“…GED is a non-dynamical U(1) gauge theory that is invariant under a Galilean boost transformation, and has been studied at the classical level in [18][19][20]36]. In [37], the one-loop beta-functions of Galilean electrodynamics coupled to a Schrödinger scalar in 2 + 1 dimensions are computed, where the renormalization of the dynamical Schrödinger scalar receives highly nontrivial contributions from interactions with the non-dynamical gauge sector. There is an extra scalar in addition to the U(1) gauge field in GED, which finds a natural interpretation in nonrelativistic open string theory as the Nambu-Goldstone boson from spontaneously breaking the string Newton-Cartan symmetry algebra to the Bargmann symmetry algebra.…”

Section: Galilean Electrodynamics On a Newton-cartan Backgroundmentioning

confidence: 99%

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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“…But now, there has been a lot of progress to find the action of GED in recent years by using different techniques in hand [12][13][14][15][16][17]. In [18], the authors went one step forward where they couple this theory to a Schrödinger scalar in 2+1 dimensions to study the quantum properties. They found an infinite number of couplings at the quantum level due to the scalar field present in the Galilean multiplet of the gauge field.…”

Section: Jhep09(2021)078mentioning

confidence: 99%