From the classical <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi>SO</mi> <mfenced close=")" open="("> <mrow> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>8</mn> </mrow> </mfenced> </math></EquationSource> <EquationSource Format="TEX">$ \mathrm{SO}\left(\mathcal{N}=8\right) $</EquationSource> </InlineEquation> extended superconformal algebra between the lowest <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>8</mn> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{N}=8 $</EquationSource> </InlineEquation> multiplet in two dimensions obtained by Ademollo et al. (1976), we generalize it for the arbitrary <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>8</mn> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{N}=8 $</EquationSource> </InlineEquation> multiplet with manifest SU(8) symmetry containing the bosonic w1+∞ algebra. By modifying this <InlineEquation ID="IEq5"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>8</mn> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{N}=8 $</EquationSource> </InlineEquation> supersymmetric w1+∞ algebra in two dimensions, we propose a consistent celestial soft current algebra between the graviton, the gravitinos, the graviphotons, the graviphotinos, and the scalars in the <InlineEquation ID="IEq6"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>8</mn> </math></EquationSource> <EquationSource Format="TEX">$ \mathcal{N}=8 $</EquationSource> </InlineEquation> supergravity theory with SO(8) (or SU(8)) global symmetry in four dimensions initiated by de Wit and Freedman (at Stony Brook in 1977). The twenty five couplings in this celestial algebra can be written in terms of eight arbitrary couplings via the Jacobi identity.

Toward A celestial soft symmetry algebra in the $ \mathcal{N}=8 $ supergravity

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2026年5月20日

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Changhyun Ahn,
Man Hea Kim

摘要

From the classical $SO (N = 8)$ $ \mathrm{SO}\left(\mathcal{N}=8\right) $ extended superconformal algebra between the lowest $N = 8$ $ \mathcal{N}=8 $ multiplet in two dimensions obtained by Ademollo et al. (1976), we generalize it for the arbitrary $N = 8$ $ \mathcal{N}=8 $ multiplet with manifest SU(8) symmetry containing the bosonic w_1+∞ algebra. By modifying this $N = 8$ $ \mathcal{N}=8 $ supersymmetric w_1+∞ algebra in two dimensions, we propose a consistent celestial soft current algebra between the graviton, the gravitinos, the graviphotons, the graviphotinos, and the scalars in the $N = 8$ $ \mathcal{N}=8 $ supergravity theory with SO(8) (or SU(8)) global symmetry in four dimensions initiated by de Wit and Freedman (at Stony Brook in 1977). The twenty five couplings in this celestial algebra can be written in terms of eight arbitrary couplings via the Jacobi identity.

Toward A celestial soft symmetry algebra in the \( \mathcal{N}=8 \) supergravity

摘要