We discuss the role of singletons and logarithmic operators in AdS 3 string theory in the context of AdS 3 /CF T 2 correspondence.

Bilingual end multillngual terminology data banks (term banks) have proven an effective aid to translation. The translation problem which has been most resistant tO te rm bank a s s i s t a n c e ~ however , i s t h a t o f i d e n t i f y i n g p r e c i s e l y t h o s e t r a n s l a t i o n s which a r e a p p r o p r i a t e f o r a g i v e n te rm i n a SL t e x t . This i s compounded by...

In a variety of situations, integrals of products of eigenfunctions have faster decay than smoothness entails. This phenomenon does not appear for abelian or compact groups, since irreducibles are finite-dimensional, so the decomposition of a tensor product of irreducibles is finite. In contrast, for non-compact, nonabelian groups irreducibles are typically infinite-dimensional, and the decompo...

It is well known that there are five classes of sloops of cardinality 16 " SL(16)s" according to the number of sub-SL(8)s [4, 6]. In this article, we will show that there are exactly 8 classes of nonsimple sloops and 6 classes of simple sloops of cardinality 20 "SL(20)s". Based on the cardinality and the number of (normal) subsloops of SL(20), we will construct in section 3 all possible classes...

We consider supersymmetry in five dimensions, where the fermionic parameters are a 2-form under SL(5). Supermultiplets investigated using pure spinor superfield formalism, and found to be closely related infinite-dimensional extensions of algebra: Borcherds superalgebra ${\scr B}(E_4)$, tensor hierarchy algebra $S(E_4)$ exceptional $E(5,10)$. A theorem relating B}(E_4)$ $E(5,10)$ all levels is ...