ALGEBRAIC PROPERTIES OF THE BETHE ANSATZ FOR AN SPL(2,1)-SUPERSYMMETRIC T-J MODEL

被引：146

作者：

FOERSTER, A

KAROWSKI, M

机构：

[1] Institut für Theoretische Physik, Freie Universität Berlin, Berlin

来源：

NUCLEAR PHYSICS B | 1993年 / 396卷 / 2-3期

关键词：

D O I：

10.1016/0550-3213(93)90665-C

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We investigate the algebraic structure of the supersymmetric t-J model in one dimension. We prove that the Bethe ansatz states are highest-weight vectors of an spl(2,1) superalgebra. By acting with shift operators we construct a complete set of states for this model. In addition we analyse the multiplet structure of the anti-ferromagnetic ground state and some low-lying excitations. It turns out that the ground state is a member of a quartet.

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页码：611 / 638

页数：28

相关论文

共 23 条

[1] THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].

ANDERSON, PW .

SCIENCE, 1987, 235 (4793) :1196-1198

[2] SUPERSYMMETRIC T-J MODEL IN ONE DIMENSION - SEPARATION OF SPIN AND CHARGE [J].

BARES, PA ;

BLATTER, G .

PHYSICAL REVIEW LETTERS, 1990, 64 (21) :2567-2570

[3] EXACT SOLUTION OF THE T-J MODEL IN ONE DIMENSION AT 2T = +/- J - GROUND-STATE AND EXCITATION SPECTRUM [J].

BARES, PA ;

BLATTER, G ;

OGATA, M .

PHYSICAL REVIEW B, 1991, 44 (01) :130-154

[4]

Baxter R.J., 1989, EXACTLY SOLVED MODEL

[5] Metal theory [J].

Bethe, H. .

ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :205-226

[6] EXACT BETHE ANSATZ SOLUTION OF O(2N) SYMMETRICAL THEORIES [J].

DEVEGA, HJ ;

KAROWSKI, M .

NUCLEAR PHYSICS B, 1987, 280 (02) :225-254

[7] COMPLETE SOLUTION OF THE ONE-DIMENSIONAL HUBBARD-MODEL [J].

ESSLER, FHL ;

KOREPIN, VE ;

SCHOUTENS, K .

PHYSICAL REVIEW LETTERS, 1991, 67 (27) :3848-3851

[8] NEW EIGENSTATES OF THE 1-DIMENSIONAL HUBBARD-MODEL [J].

ESSLER, FHL ;

KOREPIN, VE ;

SCHOUTENS, K .

NUCLEAR PHYSICS B, 1992, 372 (03) :559-596

[9]

Faddeev L D, 1981, ZAP NAUCHN SEMIN LOM, V109, P134

[10] COMPLETENESS OF THE BETHE STATES FOR THE SUPERSYMMETRIC T-J MODEL [J].

FOERSTER, A ;

KAROWSKI, M .

PHYSICAL REVIEW B, 1992, 46 (14) :9234-9236