Joaquim Gomis
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View article: Celestial kinematical interpretation for an extended <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>BMS</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>4</mml:mn> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> algebra
Celestial kinematical interpretation for an extended algebra Open
Motivated by the work of Longhi and Materassi, who constructed a realization of the (centerless) BMS 4 algebra for the massive Klein-Gordon field in 3 + 1 dimensions, we build a realization of the (centerless) massless BMS …
View article: AdS Carroll structures from Poincaré isomorphism: Asymptotic symmetry analysis
AdS Carroll structures from Poincaré isomorphism: Asymptotic symmetry analysis Open
Starting from the isomorphism between the anti–de Sitter (AdS) Carroll and Poincaré algebras, we obtain the magnetic AdS Carroll gravity in three dimensions. Moreover, we derive the first set of asymptotic conditions for the AdS Carroll st…
View article: A general action for a particle in 2 + 1 anti-de Sitter space
A general action for a particle in 2 + 1 anti-de Sitter space Open
In this paper, we discuss a general action for a particle in AdS 3 using the nonlinear realization framework. Critical sectors are found and characterized in terms of the parameters appearing in the Lagrangian, generalizing the known resul…
View article: BMS-like algebras: canonical realisations and BRST quantisation
BMS-like algebras: canonical realisations and BRST quantisation Open
We generalise BMS algebras in three dimensions by the introduction of an arbitrary real parameter $λ$, recovering the standard algebras (BMS, extended BMS and Weyl-BMS) for $λ=-1$. We exhibit a realisation of the (centreless) Weyl $λ$-BMS …
View article: Nonequivalence of Carroll limits in relativistic string theory
Nonequivalence of Carroll limits in relativistic string theory Open
We construct new Carroll strings in flat space by considering the Carroll limit of equivalent relativistic string theories at the classical level. In the limit these Carroll strings are no longer equivalent and have different degrees of fr…
View article: AdS Carroll Structures from Poincaré Isomorphism: Asymptotic Symmetry Analysis
AdS Carroll Structures from Poincaré Isomorphism: Asymptotic Symmetry Analysis Open
Starting from the isomorphism between the AdS Carroll and Poincaré algebras, we map the three-dimensional asymptotically flat solutions of Poincaré gravity into an AdS Carroll spacetime. We show the mapped solutions satisfy the field equat…
View article: Worldsheet formalism for decoupling limits in string theory
Worldsheet formalism for decoupling limits in string theory Open
A bstract We study the bosonic sector of a decoupling limit of type IIA superstring theory, where a background Ramond-Ramond one-form is fined tuned to its critical value, such that it cancels the associated background D0-brane tension. Th…
View article: Non equivalence of Carroll limits in relativistic string theory
Non equivalence of Carroll limits in relativistic string theory Open
We construct new Carroll strings in flat space by considering the Carroll limit of equivalent relativistic string theories at classical level. In the limit these Carroll strings are no longer equivalent and have different degrees of freedo…
View article: Superconformal interacting particles
Superconformal interacting particles Open
The free massless superparticle is reanalyzed, in particular by performing the Gupta-Bleuler quantization, using the first- and second-class constraints of the model, and obtaining as a result, the Weyl equation for the spinorial component…
View article: Non-Lorentzian expansions of the Lorentz force and kinematical algebras
Non-Lorentzian expansions of the Lorentz force and kinematical algebras Open
A bstract We consider non-Lorentzian expansions, Galilean and Carrollian, of the Lorentz force equation in which both the particle position and the electro-magnetic field are expanded. There are two well-known limits in the case of a const…
View article: Superconformal interacting particles
Superconformal interacting particles Open
The free massless superparticle is reanalysed, in particular by performing the Gupta-Bleuler quantization, using the first and second class constraints of the model, and obtaining, as a result, the Weyl equation for the spinorial component…
View article: Worldsheet Formalism for Decoupling Limits in String Theory
Worldsheet Formalism for Decoupling Limits in String Theory Open
We study the bosonic sector of a decoupling limit of type IIA superstring theory, where a background Ramond-Ramond one-form is fined tuned to its critical value, such that it cancels the associated background D0-brane tension. The light ex…
View article: Particle realization of Bondi-Metzner-Sachs symmetry in 2 + 1 space-time
Particle realization of Bondi-Metzner-Sachs symmetry in 2 + 1 space-time Open
A bstract 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 (supertranslations), using the non-linear realization framework.…
View article: Non-Lorentzian expansions of the Lorentz force and kinematical algebras
Non-Lorentzian expansions of the Lorentz force and kinematical algebras Open
We consider non-Lorentzian expansions, Galilean and Carrollian, of the Lorentz force equation in which both the particle position and the electro-magnetic field are expanded. There are two well-known limits in the case of a constant field,…
View article: Two interacting conformal Carroll particles
Two interacting conformal Carroll particles Open
In this paper we analyze two different models of two interacting conformal Carroll particles that can be obtained as the Carrollian limit of two relativistic conformal particles. The first model describes particles with zero velocity and e…
View article: Particle realization of Bondi-Metzner-Sachs symmetry in 2+1 space-time
Particle realization of Bondi-Metzner-Sachs symmetry in 2+1 space-time Open
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 (supertranslations), using the non-linear realization framework. The Hamil…
View article: Two interacting conformal Carroll particles
Two interacting conformal Carroll particles Open
In this note we analyse two different models of two interacting conformal Carroll particles that can be obtained as the Carrollian limit of two relativistic conformal particles. The first model describes particles with zero velocity and ex…
View article: A non-lorentzian primer
A non-lorentzian primer Open
We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries. First, we introduce non-lorentzian kinematical spacetimes and their symmetry algebras. Next, we construct actions describing the particl…
View article: Report on scipost_202212_00063v1
Report on scipost_202212_00063v1 Open
We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries.First, we introduce non-lorentzian kinematical spacetimes and their symmetry algebras.Next, we construct actions describing the particle …
View article: Report on scipost_202212_00063v1
Report on scipost_202212_00063v1 Open
We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries.First, we introduce non-lorentzian kinematical spacetimes and their symmetry algebras.Next, we construct actions describing the particle …
View article: Electric/magnetic Newton-Hooke and Carroll Jackiw-Teitelboim gravity
Electric/magnetic Newton-Hooke and Carroll Jackiw-Teitelboim gravity Open
A bstract We construct the electric and magnetic Newton-Hooke and Carroll Jackiw-Teitelboim gravity theories using the isomorphism of Newton-Hooke ± and (A-)dS Carroll algebras in (1+1)-spacetime dimensions. The starting point is the non-r…
View article: Non-Lorentzian theories with and without constraints
Non-Lorentzian theories with and without constraints Open
View article: Polyharmonic Green functions and nonlocal Bondi-Metzner-Sachs transformations of a free scalar field
Polyharmonic Green functions and nonlocal Bondi-Metzner-Sachs transformations of a free scalar field Open
We express the nonlocal Bondi-Metzner-Sachs (BMS) charges of a free massless Klein-Gordon scalar field in 2 þ 1 in terms of the Green functions of the polyharmonic operators. Using the properties of these Green functions, we are able to di…
View article: Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory
Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory Open
The (pre)multisymplectic geometry of the De Donder–Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical Klein-Gordon action, the electric and magnetic Car…
View article: Electric/Magnetic Newton-Hooke and Carroll Jackiw-Teitelboim Gravity
Electric/Magnetic Newton-Hooke and Carroll Jackiw-Teitelboim Gravity Open
We construct the electric and magnetic Newton-Hooke and Carroll Jackiw-Teitelboim gravity theories using the isomorphism of Newton-Hooke$_\pm$ and (A-)dS Carroll algebras in $(1+1)$-spacetime dimensions. The starting point is the non-relat…
View article: Non-Lorentzian theories with and without constraints
Non-Lorentzian theories with and without constraints Open
We exhibit a new method of constructing non-Lorentzian models by applying a method we refer to as starting from a so-called seed Lagrangian. This method typically produces additional constraints in the system that can drastically alter the…
View article: Multisymplectic Constraint Analysis of Scalar Field Theories, Chern-Simons Gravity, and Bosonic String Theory
Multisymplectic Constraint Analysis of Scalar Field Theories, Chern-Simons Gravity, and Bosonic String Theory Open
The (pre)multisymplectic geometry of the De Donder--Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical Klein-Gordon action, the electric and magnetic Ca…
View article: Polyharmonic Green Functions and Nonlocal BMS Transformations of a Free Scalar Field
Polyharmonic Green Functions and Nonlocal BMS Transformations of a Free Scalar Field Open
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 Green functions, we are able to discuss the asymptotic beh…
View article: Infinite-Dimensional Algebras as Extensions of Kinematic Algebras
Infinite-Dimensional Algebras as Extensions of Kinematic Algebras Open
Kinematic algebras can be realised on geometric spaces and constrain the physical models that can live on these spaces. Different types of kinematic algebras exist and we consider the interplay of these algebras for non-relativistic limits…
View article: Infinite-dimensional algebras as extensions of kinematic algebras
Infinite-dimensional algebras as extensions of kinematic algebras Open
Kinematic algebras can be realised on geometric spaces and constrain the physical models that can live on these spaces. Different types of kinematic algebras exist and we consider the interplay of these algebras for non-relativistic limits…