The $$ \mathcal{N} $$
N
= 4 higher spin generators for general superspin s in terms of oscillators in the matrix generalization of AdS3 Vasiliev higher spin theory at nonzero μ (which is equivalent to the ’t Hooft-like coupling constant λ) were found previously. In this paper, by computing the (anti)commutators between these $$ \mathcal{N} $$
N
= 4 higher spin generators for low spins s1 and s2 (s1 + s2 ≤ 11) explicitly, we determine the complete $$ \mathcal{N} $$
N
= 4 higher spin algebra for generic μ. The three kinds of structure constants contain the linear combination of two different generalized hypergeometric functions. These structure constants remain the same under the transformation μ ↔ (1 − μ) up to signs. We have checked that the above $$ \mathcal{N} $$
N
= 4 higher spin algebra contains the $$ \mathcal{N} $$
N
= 2 higher spin algebra, as a subalgebra, found by Fradkin and Linetsky some time ago.
The tug-of-war between the thermoelectric power factor and the figure-of-merit complicates thermoelectric material selection, particularly for mid-to-high temperature thermoelectric materials. Approaches to reduce lattice thermal conductivity while maintaining a high-power...
It is known previously that the operator product expansion (OPE) between the first [Formula: see text] multiplet and itself contains the second [Formula: see text] multiplet in the supersymmetric coset model. In this paper, by using their realizations in terms of various fermions, we compute the four kinds of OPEs between the first and the second [Formula: see text] multiplets for fixed [Formula: see text] and [Formula: see text], where the group of the coset contains [Formula: see text]. By supersymmetrizing the above OPEs in [Formula: see text] superspace and using the various Jacobi identities between the currents, we determine the [Formula: see text] supersymmetric OPE between the first and the second [Formula: see text] multiplets completely. The right-hand side of this OPE contains the various [Formula: see text] multiplets: the [Formula: see text] singlet [Formula: see text] multiplets of superspin-[Formula: see text] and the [Formula: see text] triplet [Formula: see text] multiplets of superspin-[Formula: see text]. The [Formula: see text] superspace description and the decoupling of the spin-[Formula: see text] current of the [Formula: see text] superconformal algebra are also described.
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