Galilean Conformal Algebra in Semi-Infinite Space

Abstract

In the present work we considered Galilean conformal algebras (GCA), which arises as a contraction relativistic conformal algebras ($x_i\to \epsilon x_i$, $t\to t$, $\epsilon \to 0$). We can use the Galilean conformal symmetry to constrain two-point and three-point functions. Correlation functions in space-time without boundary condition were found in \cite{1}. In real situations there are boundary conditions in space-time, so we have calculated correlation functions for Galilean confrormal invariant fields in semi-infinite space with boundary condition in $r=0$. We have calculated two-point and three-point functions with boundary condition in fixed time.

14 pages

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Cited by in corpus (2)

• Schrödinger symmetry: a historical review
• The Shadow Formalism of Galilean CFT${}_2$