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• W4310218119 abstract "A bstract We consider the fuzzy 4-sphere $$ {S}_N^4 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>N</mml:mi> <mml:mn>4</mml:mn> </mml:msubsup> </mml:math> as a background in the IKKT matrix model, and explore the relation between $$ {S}_N^4 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>N</mml:mi> <mml:mn>4</mml:mn> </mml:msubsup> </mml:math> and fuzzy twistor space in the semi-classical limit. A novel description for the IKKT-matrix model in terms of spinorial indices is given, which is reminiscent of $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 4 super-symmetric Yang-Mills (SYM) in 4 d . On fuzzy twistor space, the interactions of the IKKT model are of gravitational type. The higher-spin (HS) gauge theory emerging in this limit from the IKKT model, denoted as HS-IKKT, on fuzzy twistor space is shown to be a higher-spin extension of $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 4 SYM, with vertices that have more than two derivatives. We obtain its (Euclidean) spacetime action using the Penrose transform. Although this is a gravitational theory, it shares many features with the higher-spin extensions of Yang-Mills in 4 d flat space obtained in [1, 2]. The tree-level amplitudes of the HS-IKKT are studied in the semi-classical flat limit. The self-dual gauge sector of the IKKT model is obtained by dropping some parts of the cubic- and the quartic interactions, which is shown to reduce to a $$ mathcal{BF} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>BF</mml:mi> </mml:math> -type action on commutative deformed projective twistor space." @default.
• W4310218119 created "2022-11-30" @default.
• W4310218119 creator A5006266210 @default.
• W4310218119 creator A5020567620 @default.
• W4310218119 date "2022-11-25" @default.
• W4310218119 modified "2023-09-30" @default.
• W4310218119 title "A twistorial description of the IKKT-matrix model" @default.
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