منابع مشابه
Nilpotent Invariants in N = 4 Sym
It is shown that there are no nilpotent invariants in N = 4 analytic superspace for n ≤ 4 points. It is argued that there is (at least) one such invariant for n = 5 points which is not invariant under U (1) Y. The consequences of these results are that the n = 2 and 3 point correlation functions of the N = 4 gauge-invariant operators which correspond to KK multiplets in AdS supergravity are giv...
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Some aspects of correlation functions in N = 4 SYM are discussed. Using N = 4 harmonic su-perspace we study two and three-point correlation functions which are of contact type and argue that these contact terms will not affect the non-renormalisation theorem for such correlators at non-coincident points. We then present a perturbative calculation of a five-point function at two loops in N = 2 h...
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We construct an explicit set of algebraically independent generators for the center of the universal enveloping algebra of the centralizer of a nilpotent matrix in the general linear Lie algebra over a field of characteristic zero. In particular, this gives a new proof of the freeness of the center, a result first proved by Panyushev, Premet and Yakimova.
متن کاملInvariants of the nilpotent and solvable triangular Lie algebras
Invariants of the coadjoint representation of two classes of Lie algebras are calculated. The first class consists of the nilpotent Lie algebras T (M), isomorphic to the algebras of upper triangular M × M matrices. The Lie algebra T (M) is shown to have [M/2] functionally independent invariants. They can all be chosen to be polynomials and they are presented explicitly. The second class consist...
متن کاملIntegral invariants in N = 4 SYM and the effective action for coincident D - branes
The construction of supersymmetric invariant integrals is discussed in a superspace setting. The formalism is applied to D = 4, N = 4 SYM and used to construct the F 2 , F 4 and (F 5 + ∂ 2 F 4) terms in the effective action of coincident D-branes. The results are in agreement with those obtained by other methods. A simple derivation of the abelian ∂ 4 F 4 invariant is given and generalised to t...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1999
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(99)00705-4