Geometry of special Galileons

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Geometry of special Galileons

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Geometry of special Galileons

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10303 - Particles and field physics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

—

Svazek periodika

95

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

26

Strana od-do

—

Kód UT WoS článku

000401982300009

EID výsledku v databázi Scopus

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