Geometry of special Galileons

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10368882" target="_blank" >RIV/00216208:11320/17:10368882 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1103/PhysRevD.95.065019" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.95.065019</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.95.065019" target="_blank" >10.1103/PhysRevD.95.065019</a>

Result language

angličtina

Original language name

Geometry of special Galileons

Original language description

A theory known as special Galileon has recently attracted considerable interest due to its peculiar properties. It has been shown that it represents an extremal member of the set of effective field theories with an enhanced soft limit. This property makes its tree-level S-matrix fully on-shell reconstructible and representable by means of the Cachazo-He-Yuan representation. The enhanced soft limit is a consequence of new hidden symmetry of the special Galileon action; however, until now, the origin of this peculiar symmetry has remained unclear. In this paper we interpret this symmetry as a special transformation of the coset space GAL(D, 1)/SO(1, D - 1) and show that there exists a three-parametric family of invariant Galileon actions. The latter family is closed under the duality which appears as a natural generalization of the above mentioned symmetry. We also present a geometric construction of the special Galileon action using a D-dimensional brane propagating in 2D-dimensional flat pseudo-Riemannian space. Within such a framework, the special Galileon symmetry emerges as a U(1, D - 1) symmetry of the target space, which can be treated as a D-dimensional Kahler manifold. Such a treatment allows for classification of the higher order invariant Lagrangians needed as counterterms on the quantum level. We also briefly comment on the relation between such higher order Lagrangians and the Lagrangians that are invariant with respect to the polynomial shift symmetry.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10303 - Particles and field physics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physical Review D

ISSN

2470-0010

e-ISSN

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Volume of the periodical

95

Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

26

Pages from-to

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UT code for WoS article

000401982300009

EID of the result in the Scopus database

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