Abstract
In this addendum, we consider the connection between certain $2d$ super-GCA, obtained from the parametric contractions of $2d$ SCFTs, which can describe the constraint algebra of null spinning strings.
Highlights
The bosonic and supersymmetric versions of Galiliean Conformal Algebra (GCA), obtained by a parametric contraction of the corresponding “parent” relativistic conformal and superconformal groups, have been studied in great details in the recent literature 1–25
The tension of a string is in a sense equivalent to the mass of a particle, and a tensionless/null string in string theory corresponds to a massless particle in particle physics
The tension going to zero can be interpreted as the string consisting of a collection of massless particles, but subject to constraints as the string is a continuous object even in the tensionless case and these pieces are still connected to each other
Summary
The bosonic and supersymmetric versions of Galiliean Conformal Algebra (GCA), obtained by a parametric contraction of the corresponding “parent” relativistic conformal and superconformal groups, have been studied in great details in the recent literature 1–25. The tension going to zero can be interpreted as the string consisting of a collection of massless particles, but subject to constraints as the string is a continuous object even in the tensionless case and these pieces are still connected to each other. This limit has been thought to be useful in studying the high energy behaviour of string theory. In this addendum, we will consider the connection between certain 2d super-GCA, obtained from the parametric contractions of 2d SCFTs, which can describe the contraint algebra of null spinning strings.
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