Roberto Bonezzi
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View article: Gluon amplitudes in first quantization
Gluon amplitudes in first quantization Open
We compute tree-level gluon amplitudes as worldline correlators of vertex operators in a bosonic spinning particle model. In this framework, the particle’s position degrees of freedom are extended by complex bosonic variables that encode i…
View article: Yang-Mills kinematic algebra via homotopy transfer from a worldline operator algebra
Yang-Mills kinematic algebra via homotopy transfer from a worldline operator algebra Open
The homotopy Lie or L ∞ algebra encoding Yang-Mills theory is the tensor product of a color Lie algebra with the kinematic C ∞ algebra. We derive this C ∞ algebra, via homotopy transfer, from a strict operator algebra of a worl…
View article: Worldline geometries for scattering amplitudes
Worldline geometries for scattering amplitudes Open
A bstract In this paper, we construct the path integral for infinite and semi-infinite scalar worldlines. We show that, at the asymptotic endpoints, on-shell physical states can be generated by inserting vertex operators at infinity. This …
View article: The double copy of maximal supersymmetry in D = 4
The double copy of maximal supersymmetry in D = 4 Open
A bstract We realize off-shell, local and gauge invariant $$ \mathcal{N} $$ = 8 supergravity in D = 4, to cubic order in fields, as the double copy of $$ \mathcal{N} $$ = 4 super Yang-Mills theory (SYM). Employing the homotopy algebra …
View article: Vertex operators for the kinematic algebra of Yang-Mills theory
Vertex operators for the kinematic algebra of Yang-Mills theory Open
The kinematic algebra of Yang-Mills theory can be understood in the framework of homotopy algebras: the L∞ algebra of Yang-Mills theory is the tensor product of the color Lie algebra and a kinematic space that carries a C∞ algebra. There a…
View article: Worldline geometries for scattering amplitudes
Worldline geometries for scattering amplitudes Open
In this paper, we construct the path integral for infinite and semi-infinite scalar worldlines. We show that, at the asymptotic endpoints, on-shell physical states can be generated by inserting vertex operators at infinity. This procedure …
View article: The Double Copy of Maximal Supersymmetry in $D=4$
The Double Copy of Maximal Supersymmetry in $D=4$ Open
We realize off-shell, local and gauge invariant $N=8$ supergravity in $D=4$, to cubic order in fields, as the double copy of $N=4$ super Yang-Mills theory (SYM). Employing the homotopy algebra approach, we show that, thanks to a redundant …
View article: Yang-Mills theory from the worldline
Yang-Mills theory from the worldline Open
We construct off-shell vertex operators for the bosonic spinning particle. Using the language of homotopy algebras, we show that the full nonlinear structure of Yang-Mills theory, including its gauge transformations, is encoded in the comm…
View article: Vertex operators for the kinematic algebra of Yang-Mills theory
Vertex operators for the kinematic algebra of Yang-Mills theory Open
The kinematic algebra of Yang-Mills theory can be understood in the framework of homotopy algebras: the $L_{\infty}$ algebra of Yang-Mills theory is the tensor product of the color Lie algebra and a kinematic space that carries a $C_{\inft…
View article: Double copy of 3D Chern-Simons theory and 6D Kodaira-Spencer gravity
Double copy of 3D Chern-Simons theory and 6D Kodaira-Spencer gravity Open
We apply an algebraic double copy construction of gravity from gauge theory to three-dimensional (3D) Chern-Simons theory. The kinematic algebra K is the 3D de Rham complex of forms equipped, for a choice of metric, with a graded Lie algeb…
View article: Yang-Mills theory from the worldline
Yang-Mills theory from the worldline Open
We construct off-shell vertex operators for the bosonic spinning particle. Using the language of homotopy algebras, we show that the full nonlinear structure of Yang-Mills theory, including its gauge transformations, is encoded in the comm…
View article: Double Copy of 3D Chern-Simons Theory and 6D Kodaira-Spencer Gravity
Double Copy of 3D Chern-Simons Theory and 6D Kodaira-Spencer Gravity Open
We apply an algebraic double copy construction of gravity from gauge theory to three-dimensional (3D) Chern-Simons theory. The kinematic algebra ${\cal K}$ is the 3D de Rham complex of forms equipped, for a choice of metric, with a graded …
View article: Weakly constrained double field theory as the double copy of Yang-Mills theory
Weakly constrained double field theory as the double copy of Yang-Mills theory Open
The weakly constrained double field theory, in the sense of Hull and Zwiebach, captures the subsector of string theory on toroidal backgrounds that includes gravity, B-field, and dilaton together with all of their massive Kaluza-Klein and …
View article: Tree-level Scattering Amplitudes via Homotopy Transfer
Tree-level Scattering Amplitudes via Homotopy Transfer Open
We formalize the computation of tree-level scattering amplitudes in terms of the homotopy transfer of homotopy algebras, illustrating it with scalar $ϕ^3$ and Yang-Mills theory. The data of a (gauge) field theory with an action is encoded …
View article: Gravity = Yang–Mills
Gravity = Yang–Mills Open
This essay’s title is justified by discussing a class of Yang–Mills-type theories of which standard Yang–Mills theories are special cases but which is broad enough to include gravity as a double field theory. We use the framework of homoto…
View article: Gauge independent kinematic algebra of self-dual Yang-Mills theory
Gauge independent kinematic algebra of self-dual Yang-Mills theory Open
The double-copy program relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of gaug…
View article: Weakly Constrained Double Field Theory as the Double Copy of Yang-Mills Theory
Weakly Constrained Double Field Theory as the Double Copy of Yang-Mills Theory Open
Weakly constrained double field theory, in the sense of Hull and Zwiebach, captures the subsector of string theory on toroidal backgrounds that includes gravity, $B$-field and dilaton together with all of their massive Kaluza-Klein and win…
View article: Gravity = Yang-Mills
Gravity = Yang-Mills Open
This essay's title is justified by discussing a class of Yang-Mills-type theories of which standard Yang-Mills theories are special cases but which is broad enough to include gravity as a double field theory. We use the framework of homoto…
View article: Gauge invariant double copy of Yang-Mills theory: The quartic theory
Gauge invariant double copy of Yang-Mills theory: The quartic theory Open
We give an explicit gauge invariant, off-shell and local double copy construction of gravity from Yang-Mills theory to quartic order. To this end we use the framework of homotopy algebras, and we identify a rich new algebraic structure ass…
View article: Gauge independent kinematic algebra of self-dual Yang-Mills theory
Gauge independent kinematic algebra of self-dual Yang-Mills theory Open
The double copy programme relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of ga…
View article: Weakly constrained double field theory: the quartic theory
Weakly constrained double field theory: the quartic theory Open
Double field theory was originally introduced as the subsector of closed string field theory on a toroidal background given by the massless fields together with all their massive Kaluza-Klein and winding modes. These massive modes are enco…
View article: Gauge-invariant coefficients in perturbative quantum gravity
Gauge-invariant coefficients in perturbative quantum gravity Open
Heat kernel methods are useful for studying properties of quantum gravity. We recompute the first three heat kernel coefficients in perturbative quantum gravity with cosmological constant to ascertain which ones are correctly reported in t…
View article: Gauge invariant double copy of Yang-Mills theory: the quartic theory
Gauge invariant double copy of Yang-Mills theory: the quartic theory Open
We give an explicit gauge invariant, off-shell and local double copy construction of gravity from Yang-Mills theory to quartic order. To this end we use the framework of homotopy algebras, and we identify a rich new algebraic structure ass…
View article: The gauge structure of double field theory follows from Yang-Mills theory
The gauge structure of double field theory follows from Yang-Mills theory Open
We show that to cubic order double field theory is encoded in Yang-Mills theory. To this end we use algebraic structures from string field theory as follows: The $L_{\infty}$-algebra of Yang-Mills theory is the tensor product ${\cal K}\oti…
View article: Gauge-invariant coefficients in perturbative quantum gravity
Gauge-invariant coefficients in perturbative quantum gravity Open
Heat kernel methods are useful for studying properties of quantum gravity. We recompute here the first three heat kernel coefficients in perturbative quantum gravity with cosmological constant to ascertain which ones are correctly reported…
View article: Duality invariant string beta functions at two loops
Duality invariant string beta functions at two loops Open
A bstract We compute, for cosmological backgrounds, the O ( d, d ; ℝ) invariant beta functions for the sigma model of the bosonic string at two loops. This yields an independent first-principle derivation of the order α ′ corrections to th…
View article: Old dualities and new anomalies
Old dualities and new anomalies Open
We revisit the question whether the worldsheet theory of a string admits a\nglobal O(d,d) symmetry. We consider the truncation of the target space theory\nin which fields are independent of d coordinates, which is O(d,d,R) invariant.\nThe …
View article: Leibniz Gauge Theories and Infinity Structures
Leibniz Gauge Theories and Infinity Structures Open
We formulate gauge theories based on Leibniz(-Loday) algebras and uncover their underlying mathematical structure. Various special cases have been developed in the context of gauged supergravity and exceptional field theory. These are base…