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most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 1997Show all

15 papers · 1 filter

hep-th1997★ 5 cited

Question on D=26 --- String Theory versus Quantum Gravity ---

Mitsuo Abe, Noboru Nakanishi

In the covariant-gauge two-dimensional quantum gravity, various derivations of the critical dimension D=26 of the bosonic string are critically reviewed, and their interrelations a…

hep-th1997★ 1 cited

Proof of the Gauge Independence of the Conformal Anomaly of Bosonic String in the Sense of Kraemmer and Rebhan

Mitsuo Abe, Noboru Nakanishi

Kraemmer and Rebhan claimed the gauge independence of the conformal anomaly of bosonic string for various gauge fixings in the framework of the perturbation theory of two-dimension…

q-alg1997★ 12 cited

Quantized Affine Algebras and Crystals with Head

Seok-Jin Kang, Masaki Kashiwara

Motivated by the work of Nakayashiki on the inhomogeneous vertex models of 6-vertex type, we introduce the notion of crystals with head. We show that the tensor product of the high…

alg-geom1997★ 1 cited

On fibre space structures of a projective irreducible symplectic manifold

Daisuke Matsushita

In this note, we investigate fibre space structures of a projective irreducible symplectic manifold. We prove that an 2n-dimensional projective irreducible symplectic manifold admi…

hep-th1997★ 2 cited

Form factors of the XXZ model and the affine quantum group symmetry

Yas-Hiro Quano

We present new expressions of form factors of the XXZ model which satisfy Smirnov's three axioms. These new form factors are obtained by acting the affine quantum group $U_q (\hat{…

q-alg1997★ 6 cited

The decomposition of level-1 irreducible highest weight modules with respect to the level-0 actions of the quantum affine algebra

Kouichi Takemura

We decompose the level-1 irreducible highest weight modules of the quantum affine algebra with respect to the level-0 --action defined in q-alg…

hep-th1997★ 4 cited

The Monodromy Matrices of the XXZ Model in the Infinite Volume Limit

Tetsuji Miwa, Robert Weston

We consider the XXZ model in the infinite volume limit with spin half quantum space and higher spin auxiliary space. Using perturbation theory arguments, we relate the half infinit…

funct-an1997

Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold

Katsunori Kawamura

For an infinitesimal symplectic action of a Lie algebra ${\goth g}$ on a symplectic manifold, we construct an infinitesimal crossed product of Hamiltonian vector fields and Lie alg…

solv-int1997★ 7 cited

Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences

Partha Guha, Kanehisa Takasaki

The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is…

hep-th1997★ 3 cited

Anomaly Problem in a Simple Model Analogous to the Lightcone-Gauge Two-Dimensional Quantum Gravity

Mitsuo Abe, Noboru Nakanishi

It was found in the two-dimensional quantum gravity both in the de Donder gauge and in the lightcone gauge that one of field equations breaks down at the level of the representatio…

hep-th1997★ 49 cited

Yangian Gelfand-Zetlin Bases, gl(N)-Jack Polynomials and computation of Dynamical Correlation Functions in the Spin Calogero-Sutherland Model

Denis Uglov

We consider the gl(N)-invariant Calogero-Sutherland Models with N=1,2,3,... in a unified framework, which is the framework of Symmetric Polynomials. By the framework we mean an iso…

hep-th1997★ 5 cited

Graphical Classification of Global SO(n) Invariants and Independent General Invariants

Shoichi Ichinose, Noriaki Ikeda

This paper treats some basic points in general relativity and in its perturbative analysis. Firstly a systematic classification of global SO(n) invariants, which appear in the weak…

hep-th1997★ 52 cited

Spontaneous Collapse of Supersymmetry

Detlev Buchholz, Izumi Ojima

It is shown that, if generators of supersymmetry transformations (supercharges) can be defined in a spatially homogeneous physical state, then this state describes the vacuum. Thus…

solv-int1997★ 58 cited

Separation of variables for the Ruijsenaars system

V. B. Kuznetsov, F. W. Nijhoff, E. K. Sklyanin

We construct a separation of variables for the classical n-particle Ruijsenaars system (the relativistic analog of the elliptic Calogero-Moser system). The separated coordinates ap…

solv-int1997★ 7 cited

The Yangian Symmetry in the Spin Calogero Model and its Applications

Kouichi Takemura

By using the non-symmetric Hermite polynomials and a technique based on the Yangian Gelfand-Zetlin bases, we decompose the space of states of the Calogero model with spin into irre…