Prof. W. N. Benson, F.R.S.

Prof. Sir Ravindra N Maini.

P Ravinder Maini was born on 17 th N o v e m b e r 1 9 3 7 i n Lu d h i a n a w h e r e h i s maternal grandparents resided. His paternal g r a n d p a r e n t s h a d migrated to Nairobi , Kenya, at the end of 19th century. His grandfather wa s a b u s i n e s s m a n . Maini’s father, Sir Amar N a t h , h a d q u a l i f i e d as a barrister with a graduate degree from t h e L o n d o n S c h...

Prof. Dr. Prof. Prof.

Generalized Benson-carlson Duality

1.1. Background. This paper deals with the landmark results of Benson and Carlson's Projective resolutions and Poincar e duality complexes [6]. Our goal is to provide some necessary background for that work, and to prove some of the results of [6] in a more general setting. In particular, we analyze what happens when we replace Benson and Carlson's complex C (in the notation of [6]) with an arb...

N = 2 W-supergravity

We quantise the classical gauge theory of N = 2 w ∞-supergravity and show how the underlying N = 2 super-w ∞ algebra gets deformed into an N = 2 super-W ∞ algebra. Both algebras contain the N = 2 super-Virasoro algebra as a subalgebra. We discuss how one can extract from these results information about quantum N = 2 W N-supergravity theories containing a finite number of higher-spin symmetries ...

N=2 Supersymmetric W-algebras

We investigate extensions of the N=2 super Virasoro algebra by one additional super primary field and its charge conjugate. Using a supersymmetric covariant formalism we construct all N=2 super W-algebras up to spin 5/2 of the additional generator. Led by these first examples we close with some conjectures on the classification of N=2 SW(1, ∆) algebras.