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<p>This paper constructs a finite Lie conformal superalgebra <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\frak R}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mi mathvariant="fraktur">R</mi> </mrow> </math></EquationSource> </InlineEquation> associated to the <i>N</i> = 1 Bondi-Metzner-Sachs (BMS for short) superalgebra. The authors completely determine conformal derivations, the automorphism group, and the second cohomology with coefficients in trivial module. They also classify free conformal modules of rank (1 + 1) and finite irreducible conformal modules over <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\frak R}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mi mathvariant="fraktur">R</mi> </mrow> </math></EquationSource> </InlineEquation>.</p>

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On the N = 1 Bondi-Metzner-Sachs Lie Conformal Superalgebra

  • 期刊论文

  • 发表日期：

    2025年11月19日

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  • Wei Wang,
  • Dong Liu,
  • Chunguang Xia

摘要

This paper constructs a finite Lie conformal superalgebra \({\frak R}\) R associated to the N = 1 Bondi-Metzner-Sachs (BMS for short) superalgebra. The authors completely determine conformal derivations, the automorphism group, and the second cohomology with coefficients in trivial module. They also classify free conformal modules of rank (1 + 1) and finite irreducible conformal modules over \({\frak R}\) R .