The objective of this proposal is to deepen our understanding of higher spin gravity, following five interconnected central themes that will constitute the backbone of the project: (i) how to construct an action principle; (ii) how to understand the generalized space-time geometry invariant under the higher-spin

gauge symmetry a key fundamental issue in the project; (iii) what is the precise asymptotic structure of the theory at infinity; (iv) what is the connection of the higher spin algebras with the hidden symmetries of gravitational theories; (v) what are the implications of hypersymmetry, which is the higher-spin version of supersymmetry.

He seeks to explain in simple terms the nuts and bolts of the spontaneously broken

gauge symmetry, what the Higgs particle is exactly, and how it helps provide a mathematical technique that can be viewed as giving mass to particles that were massless to start with.

The implementation of the pure spinor constraint is as an Abelian

gauge symmetry, where the generators ([lambda][[gamma].

Rather more serious, I think, is the somewhat surprising omission of relationship between PSR and symmetry principles in physics, such as Curie's principle, symmetry breaking,

gauge symmetry and so on.

Their results and discussion indicate that repeatable results are obtained only when the locale of the experiment is completely conditioned, that is, coupled with a higher

gauge symmetry such as SU(2).

For historical reasons the local symmetry group is known as a gauge group (strictly of the so-called second kind - the corresponding global symmetry is a

gauge symmetry of the first kind) and the hope is widely shared that all interactions, including electromagnetic, strong, weak, and even gravitational, can be derived by imposing the appropriate local

gauge symmetry.

We will investigate the phase structure of such theories, the nature of gravitational solutions and notions of classical geometry in the presence of the enlarged

gauge symmetry.