1,445 research outputs found
Matrix models of 2d gravity
These are introductory lectures for a general audience that give an overview
of the subject of matrix models and their application to random surfaces, 2d
gravity, and string theory. They are intentionally 1.5 years out of date.
0. Canned Diatribe, Introduction, and Apologies
1. Discretized surfaces, matrix models, and the continuum limit
2. All genus partition functions
3. KdV equations and other models
4. Quick tour of Liouville theoryComment: Trieste Lectures (July, 1991), 40p
Desperately Seeking Superstrings
We provide a detailed analysis of the problems and prospects of superstring
theory c. 1986, anticipating much of the progress of the decades to follow.Comment: originally appeared as a Reference Frame in Physics Today, May 198
Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
It is shown that the Ginsparg-Wilson relation implies an exact symmetry of
the fermion action, which may be regarded as a lattice form of an infinitesimal
chiral rotation. Using this result it is straightforward to construct lattice
Yukawa models with unbroken flavour and chiral symmetries and no doubling of
the fermion spectrum. A contradiction with the Nielsen-Ninomiya theorem is
avoided, because the chiral symmetry is realized in a different way than has
been assumed when proving the theorem.Comment: plain tex source, 8 pages, no figure
Exact Supersymmetry on the Lattice
We discuss the possibility of representing supersymmetry exactly in a lattice
discretized system. In particular, we construct a perfect supersymmetric action
for the Wess-Zumino model.Comment: 9 pages, LaTex, no figure
Boundary Structure and Module Decomposition of the Bosonic Orbifold Models with
The bosonic orbifold models with compactification radius are
examined in the presence of boundaries.
Demanding the extended algebra characters to have definite conformal
dimension and to consist of an integer sum of Virasoro characters, we arrive at
the right splitting of the partition function. This is used to derive a free
field representation of a complete, consistent set of boundary states, without
resorting to a basis of the extended algebra Ishibashi states. Finally the
modules of the extended symmetry algebra that correspond to the finitely many
characters are identified inside the direct sum of Fock modules that constitute
the space of states of the theory.Comment: 28 page
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