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Frappat, L.; Sorba, P.; Sciarrino, A.

doi:10.1023/a:1010493931518

Cited by 12 publications

(27 citation statements)

References 11 publications

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“…[24]. We will show that both C 2 and C 3 are zero for the 'atypical' superextension, while non-zero for the 'standard' superextension.…”

Section: Susy Algebramentioning

confidence: 84%

Super-Calogero model with OSp(2|2) supersymmetry: is the construction unique?

Ghosh

2004

Nuclear Physics B

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We show that the construction of super-Calogero model with OSp(2|2) supersymmetry is not unique. In particular, we find a new co-ordinate representation of the generators of the OSp(2|2) superalgebra that appears as the dynamical supersymmetry of the rational super-Calogero model.Both the quadratic and the cubic Casimir operators of the OSp(2|2) are necessarily zero in this new representation, while they are, in general, nonzero for the super-Calogero model that is currently studied in the literature. The Scasimir operator that exists in the new co-ordinate representation is not present in the case of the existing super-Calogero model. We also discuss the case of N free superoscillators and superconformal quantum mechanics for which the same conclusions are valid.

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“…[24]. We will show that both C 2 and C 3 are zero for the 'atypical' superextension, while non-zero for the 'standard' superextension.…”

Section: Susy Algebramentioning

confidence: 84%

Super-Calogero model with OSp(2|2) supersymmetry: is the construction unique?

Ghosh

2004

Nuclear Physics B

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“…On the other hand, as there is always a total of 64 codons, the number of stop codons is equal to 64 minus the total number of coding codons; this is precisely what is indicated in the fourth column. Using now Equation (24) and adjusting the deformation parameter q, for each category, we obtain With the indicated q-values, all near 1, we describe therefore the total degeneracy of all the four categories. Note here that the special case of the Yeast Mitochondrial Code, although it has only two stop codons, is described by the value q~0.9959 (for category C 4 ); it has 60 codons, coding for amino acids, two stop codons and two codons are absent.…”

Section: The Genetic Codes Via Q-deformationsmentioning

confidence: 99%

The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship

Négadi

2016

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First, mathematical formulae faithfully describing the distributions of amino acids and codons and reproducing the degeneracies in the various known genetic codes, including the standard genetic code, are constructed, by hand. Second, we summarize another mathematical approach relying on the use of q-deformations to describe these same genetic codes, and add a new application not considered before. Third, by considering these same genetic codes, we find, qualitatively, that an inverse symmetry-information relationship exists.

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“…The even part of psl(2|2) c consists of sl(2) ⊕ sl (2) and of the space generated by the three central elements, which we will de-note 4 as H, C and C † . The odd part forms a basis for the representation (2,2) ⊕ (2, 2) of the even part, where the entries in brackets correspond to the sl(2) ⊕ sl(2) decomposition [20]. Odd generators transforming as (2,2) will be denoted by Q a α , while those transforming as (2, 2) will be denoted by G α a , for a = 1, 2 and α = 3, 4.…”

Section: The Hopf Superalgebra: Level Zeromentioning

confidence: 99%