output
19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 1999Show all

12 papers · 1 filter

hep-th1999★ 40 cited

Ground State of the Quantum Symmetric Finite Size XXZ Spin Chain with Anisotropy Parameter

V. Fridkin, Yu. Stroganov, D. Zagier

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field whic…

math.CV1999★ 9 cited

The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties

Junjiro Noguchi, Joerg Winkelmann, Katsutoshi Yamanoi

Let f:C -> A be an entire holomorphic curve into a semi-Abelian variety A. Then the Zariski closure of f(C) is a translate of a semi-Abelian subvariety of A (logarithmic Bloch-Ochi…

math.AG1999★ 4 cited

Equidimensionality of complex Lagrangian fibrations

Daisuke Matsushita

We prove that every irreducible component of a fibre of a complex Lagrangian fibration is Lagrangian subvariety. Especially, complex Lagrangian fibations are equidimensional.

hep-th1999★ 2 cited

Renormalization using Domain Wall Regularization

Shoichi Ichinose

We formulate the renormalization procedure using the domain wall regularization that is based on the heat-kernel method. The quantum effects of both fermions and bosons (gauge fiel…

hep-th1999

Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory

Yuji Ohta

In contrast with the classical gauge group cases, any method to prove exactly the scaling relation which relates moduli and prepotential is not known in the case of exceptional gau…

hep-th1999★ 4 cited

Instanton Correction of Prepotential in Ruijsenaars Model Associated with N=2 SU(2) Seiberg-Witten Theory

Yuji Ohta

Instanton correction of prepotential of one-dimensional SL(2) Ruijsenaars model is presented with the help of Picard-Fuchs equation of Pakuliak-Perelomov type. It is shown that the…

math.RT1999

Parabolic Kazhdan-Lusztig polynomials and Schubert varieties

Masaki Kashiwara, Toshiyuki Tanisaki

We shall give a description of the intersection cohomology groups of the Schubert varieties in partial flag manifolds over symmetrizable Kac-Moody Lie algebras in terms of paraboli…

hep-th1999★ 9 cited

Picard-Fuchs Equations and Whitham Hierarchy in N=2 Supersymmetric SU(r+1) Yang-Mills Theory

Yuji Ohta

In general, Whitham dynamics involves infinitely many parameters called Whitham times, but in the context of N=2 supersymmetric Yang-Mills theory it can be regarded as a finite sys…

hep-th1999★ 1 cited

One-Instanton Prepotentials from WDVV equations in N=2 Supersymmetric SU(4) Yang-Mills Theory

Yuji Ohta

Prepotentials in N=2 supersymmetric Yang-Mills theories are known to obey non-linear partial differential equations called Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. In t…

hep-th1999★ 7 cited

Dual WDVV Equations in N=2 Supersymmetric Yang-Mills Theory

Yuji Ohta

This paper studies the dual form of Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations in N=2 supersymmetric Yang-Mills theory by applying a duality transformation to WDVV equatio…

hep-th1999★ 3 cited

Perturbative or Path-Integral Approach versus Operator-Formalism Approach

Mitsuo Abe, Noboru Nakanishi

In the conformal-gauge two-dimensional quantum gravity, the solution obtained by the perturbative or path-integral approach is compared with the one obtained by the operator-formal…

hep-th1999

Non-perturbative Solutions to N=2 Supersymmetric Yang-Mills Theories -Progress and Perspective-

Yuji Ohta

This note reviews the progress on the low energy dynamics of N=2 supersymmetric Yang-Mills theories after the works of Seiberg and Witten. Specifically, the theory of prepotential…