Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supergravity, Brane Dynamics and String Duality   In this review we show that a Clifford algebra possesses a unique irreducible
representation; the spinor representation. We discuss what types of spinors can
exist in Minkowski space-times and we explain how to construct all the
supersymmetry algebras that contain a given space-time Lie algebra. After
deriving the irreducible representations of the superymmetry algebras, we
explain how to use them to systematically construct supergravity theories. We
give the maximally supersymmetric supergravity theories in ten and eleven
dimensions and discuss their properties. We find which superbranes can exist
for a given supersymmetry algebra and we give the dynamics of the superbranes
that occur in M theory. Finally, we discuss how the properties of supergravity
theories and superbranes provide evidence for string duality.
  In effect, we present a continuous chain of argument that begins with
Clifford algebras and leads via supersymmetry algebras and their irreducible
representations to supergravity theories, string duality, brane dynamics and M
theory.

20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
16
The categories of this paper are: stat