Independent Goldstone modes for translations and shift symmetry from a real modulated scalar

Daniele Musso; Daniel Naegels

doi:10.1103/physrevd.101.045016

Independent Goldstone modes for translations and shift symmetry from a real modulated scalar

Physical Review D ◽

10.1103/physrevd.101.045016 ◽

2020 ◽

Vol 101 (4) ◽

Cited By ~ 3

Author(s):

Daniele Musso ◽

Daniel Naegels

Keyword(s):

Shift Symmetry ◽

Goldstone Modes

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Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open systems

Physical Review D ◽

10.1103/physrevd.103.056020 ◽

2021 ◽

Vol 103 (5) ◽

Author(s):

Masaru Hongo ◽

Suro Kim ◽

Toshifumi Noumi ◽

Atsuhisa Ota

Keyword(s):

Open Systems ◽

Effective Lagrangian ◽

Goldstone Modes

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Asymptotic symmetries and celestial CFT

Journal of High Energy Physics ◽

10.1007/jhep09(2020)176 ◽

2020 ◽

Vol 2020 (9) ◽

Cited By ~ 2

Author(s):

Laura Donnay ◽

Sabrina Pasterski ◽

Andrea Puhm

Keyword(s):

Principal Series ◽

Finite Energy ◽

Continuous Series ◽

Asymptotic Symmetry ◽

Null Infinity ◽

Conformal Dimension ◽

Contour Integrals ◽

Celestial Sphere ◽

Goldstone Modes ◽

Asymptotic Symmetries

Abstract We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension ∆. This effort lands us at the crossroads of two ongoing debates about what the appropriate conformal basis for celestial CFT is and what the asymptotic symmetry group of Einstein gravity at null infinity should be. Finite energy wavefunctions are captured by the principal continuous series ∆ ∈ 1 + iℝ and form a complete basis. We show that conformal primaries with analytically continued conformal dimension can be understood as certain contour integrals on the principal series. This clarifies how conformally soft Goldstone modes fit in but do not augment this basis. Conformally soft gravitons of dimension two and zero which are related by a shadow transform are shown to generate superrotations and non-meromorphic diffeomorphisms of the celestial sphere which we refer to as shadow superrotations. This dovetails the Virasoro and Diff(S2) asymptotic symmetry proposals and puts on equal footing the discussion of their associated soft charges, which correspond to the stress tensor and its shadow in the two-dimensional celestial CFT.

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