Strolling along gravitational vacua

Kutluk, Emine Şeyma; Seraj, Ali; Bleeken, Dieter Van den

doi:10.1007/jhep01(2020)184

Cited by 8 publications

(10 citation statements)

References 42 publications

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“…It turns out that this approach is more informative than the other one, as it allows to define a tower of overleading symmetries, their charges and balance equations which in turn allow to discuss all memory effects coherently. Overleading symmetries have shown up in different fashions in the literature, including multipole symmetries in gauge theory and gravity [43][44][45][46], as well as those inspired by subleading soft theorems [47][48][49][50] and adiabatic modes [51,52].…”

Section: Phase Space Structurementioning

confidence: 99%

Gravitational breathing memory and dual symmetries

Seraj

2021

J. High Energ. Phys.

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Brans-Dicke theory contains an additional propagating mode which causes homogeneous expansion and contraction of test bodies in transverse directions. This “breathing” mode is associated with novel memory effects in addition to those of general relativity. Standard tensor mode memories are related to a symmetry principle: they are determined by the balance equations corresponding to the BMS symmetries. In this paper, we show that the leading and subleading breathing memory effects are determined by the balance equations associated with the leading and “overleading” asymptotic symmetries of a dual formulation of the scalar field in terms of a two-form gauge field. The memory effect causes a transition in the vacuum of the dual gauge theory. These results highlight the significance of dual charges and the physical role of overleading asymptotic symmetries.

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Section: Phase Space Structurementioning

confidence: 99%

Gravitational breathing memory and dual symmetries

Seraj

2021

J. High Energ. Phys.

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“…It turns out that this approach is more informative than the other one, as it allows to define a tower of overleading symmetries, their charges and balance equations which in turn allow to discuss all memory effects coherently. Overleading symmetries have shown up in different fashions in the literature, including multipole symmetries in gauge theory and gravity [42][43][44][45], as well as those inspired by subleading soft theorems [46][47][48][49] and adiabatic modes [50,51]. Note that the symplectic structure of the scalar theory and its dual two form theory are not the same.…”

Section: Phase Space Structurementioning

confidence: 99%

Gravitational breathing memory and dual symmetries

Seraj

2021

Preprint

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Brans-Dicke theory contains an additional propagating mode which causes homogeneous expansion and contraction of test bodies in transverse directions. This "breathing" mode is associated with novel memory effects in addition to those of general relativity. Standard tensor mode memories are related to a symmetry principle: they are determined by the balance equations corresponding to the BMS symmetries. In this paper, we show that the leading and subleading breathing memory effects are determined by the balance equations associated with the leading and "overleading" asymptotic symmetries of a dual formulation of the scalar field in terms of a two-form gauge field. The memory effect causes a transition in the vacuum of the dual gauge theory. These results highlight the significance of dual charges and the physical role of overleading asymptotic symmetries.

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“…Further Directions We conclude by mentioning a few other topics that we leave to future work: a complete study of the descent chain and of the gluing into topologically nontrivial domains; the generalization of this work to general relativity and diffeomorphism symmetry (see [4,12,14,37,57]), as well as to other types of gauge theories such as Chern-Simons and BF theories.…”

Section: Superselection Sectors and The Asymptotic Limitmentioning

confidence: 99%

“…Of course, this distinction and the ensuing identification of finitely many topological modes cannot be performed at the regional level 57. The covariant and Lorentzian setting gives rise to hyperbolic equations for whose interpretation is less clear than when it is built from elliptic equations, as it is in the Euclidean covariant setting and in the D+1 framework 58.…”

mentioning

confidence: 99%

Report on scipost_202001_00038v1

2020

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Gauge theories possess nonlocal features that, in the presence of boundaries, inevitably lead to subtleties. In the D + 1 formulation of Yang-Mills theories, we employ a generalized Helmholtz decomposition rooted in the functional geometry of the theory's configuration space to (i ) identify the quasilocal radiative and pure-gauge/Coulombic components of the gauge and electric fields, and to (ii ) fully characterize the properties of these components upon gluing of regions. The analysis is carried out at the level of the symplectic structure of the theory, i.e. for linear perturbations over arbitrary backgrounds. Contents 4.4 Gluing of the electric field 36 4.5 On the energy of radiative and Coulombic modes 38 4.6 Gluing of the symplectic potentials 39 4.7 Example: 1-dimensional gluing and the emergence of topological modes 41 5 Conclusions 44 5.1 Summary 44 5.2 Outlook 48 A Time dependent gauge transformations 50 B Computation of the symplectic form 52 C Proof of equation (60) 53 D The SdW connection from the Dirac dressing 54 References 58

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Strolling along gravitational vacua

Cited by 8 publications

References 42 publications

Gravitational breathing memory and dual symmetries

Gravitational breathing memory and dual symmetries

Gravitational breathing memory and dual symmetries

Report on scipost_202001_00038v1

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