Kac-Moody symmetry in the light front of gauge theories

Gauge Theories on the Light-Front

The light-front quantization of gauge theories in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitary, and a trivial vacuum. The light-front Hamiltonian form of QCD provides an alternative to lattice gauge theory for the computation of nonperturbative quantities such as the hadronic sp...

Light - Front Quantization of Gauge Theories ∗

Light-front wavefunctions provide a frame-independent representation of hadrons in terms of their physical quark and gluon degrees of freedom. The light-front Hamiltonian formalism provides new nonperturbative methods for obtaining the QCD spectrum and eigensolutions, including resolvant methods, variational techniques, and discretized light-front quantization. A new method for quantizing gauge...

Kac - Moody structure of chiral gravity in the light - cone gauge

The Beacon of Kac-moody Symmetry for Physics

Although the importance of developing a mathematics which transcends practical use was already understood by the Greeks over 2000 years ago, it is heartening even today when mathematical ideas created for their abstract interest are found to be useful in formulating descriptions of nature. Historically, the idea of symmetry has its scientific origin in the Greeks' discovery of the five regular ...

Two Conjectures on Gauge Theories, Gravity, and Infinite Dimensional Kac-Moody Groups

We propose that the structure of gauge theories, the (2, 0) and little-string theories is encoded in a unique function on the real group manifold E10(R). The function is invariant under the maximal compact subgroup K acting on the right and under the discrete U-duality subgroup E10(Z) on the left. The manifold E10(Z)\E10(R)/K contains an infinite number of periodic variables. The partition func...