We present a nonlinear realization of E8(8) on a space of 57 dimensions, which is quasiconformal in the sense that it leaves invarian t a suitably defined “light cone” in R. This realization, which… (More)

We give an invariant classification of orbits of the fundamental representations of exceptional groups E7(7) and E6(6) which classify BPS states in string and M theories toroidally compactified to d… (More)

Quasi-conformal actions were introduced in the physics literature as a generalization of the familiar fractional linear action on the upper half plane, to Hermitian symmetric tube domains based on… (More)

We study the general gaugings of N = 2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the… (More)

We study the minimal unitary representations of noncompact exceptional groups that arise as U-duality groups in extended supergravity theories. First we give the unitary realizations of the… (More)

We give a new, purely holomorphic description of the holomorphic anomaly equations of the topological string, clarifying their relation to the heat equation satisfied by the Jacobi theta series. In… (More)

Unified N = 2 Maxwell-Einstein supergravity theories (MESGTs) are supergravity theories in which all the vector fields, including the graviphoton, transform in an irreducible representation of a… (More)

We give a new construction of the minimal unitary representation of the exceptional group E 8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect… (More)

We construct an octonionic instanton solution to the seven dimensional YangMills theory based on the exceptional gauge group G2 which is the automorphism group of the division algebra of octonions.… (More)

Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a holographic correspondence in the mini-superspace approximation, we study the radial quantization of stationary,… (More)