81 citations · 165 across the 13 of their papers we have counts for
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Particle realization of Bondi-Metzner-Sachs symmetry in 2+1 space-time
Carles Batlle, Víctor Campello, Joaquim Gomis
We construct a Lorentz invariant massive particle model in (2+1) space-time with an enlarged set of symmetries which includes Bondi-Metzner-Sachs (BMS) translations (supertranslati…
Polyharmonic Green Functions and Nonlocal BMS Transformations of a Free Scalar Field
Carles Batlle, Victor Campello, Joaquim Gomis
We express the nonlocal BMS charges of a free massless Klein-Gordon scalar field in 2+1 in terms of the Green functions of the polyharmonic operators. Using the properties of these…
A canonical realization of the Weyl BMS symmetry
Carles Batlle, Víctor Campello, Joaquim Gomis
We construct a free field realization of an extension of the BMS algebra in dimensional space-time. Besides the supertranslations and superrotations, the extension contains a…
Space-time Schrödinger symmetries of a post-Galilean particle
Carles Batlle, Joaquim Gomis
We study the space-time symmetries of the actions obtained by expanding the action for a massive free relativistic particle around the Galilean action. We obtain all the point spac…
Lie Symmetries of Non-Relativistic and Relativistic Motions
Carles Batlle, Joaquim Gomis, Sourya Ray +1
We study the Lie symmetries of non-relativistic and relativistic higher order constant motions, in spatial dimensions, like constant acceleration, constant rate-of-change -of-a…
Non-Relativistic BMS algebra
Carles Batlle, Diego Delmastro, Joaquim Gomis
We construct two possible candidates for the non-relativistic algebra in 4 space-time dimensions by contracting the original relativistic alge…
Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry
Carles Batlle, Victor Campello, Joaquim Gomis
We construct canonical realizations of the algebra as symmetry algebras of a free Klein-Gordon (KG) field in dimensions, for both the massive and massless…
Tachyons in the Galilean limit
Carles Batlle, Joaquim Gomis, Luca Mezincescu +1
The Souriau massless Galilean particle of "colour" and spin is shown to be the Galilean limit of the Souriau tachyon of mass and spin . We compare and contrast…
Extended Galilean symmetries of non-relativistic strings
Carles Batlle, Joaquim Gomis, Daniel Not
We consider two non-relativistic strings and their Galilean symmetries. These strings are obtained as the two possible non-relativistic (NR) limits of a relativistic string. One of…
Dynamical sectors for a spinning particle in AdS_3
Carles Batlle, Joaquim Gomis, Kiyoshi Kamimura +1
We consider the dynamics of the motion of a particle of mass M and spin J in AdS_3. The study reveals the presence of different dynamical sectors depending on the relative values o…
Symmetries of the Free Schrödinger Equation in the Non-Commutative Plane
Carles Batlle, Joaquim Gomis, Kiyoshi Kamimura
We study all the symmetries of the free Schrödinger equation in the non-commutative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears nat…