By Mo-Lin Ge, Weiping Zhang
This volumes offers a complete assessment of interactions among differential geometry and theoretical physics, contributed through many top students in those fields. The contributions promise to play a huge position in selling the advancements in those interesting parts. along with the plenary talks, the assurance contains: types and comparable subject matters in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot conception and comparable issues; K-theory, together with index thought and non-commutative geometry; replicate symmetry, conformal and topological quantum box concept; improvement of integrable structures; and random matrix conception.
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Additional info for Differential Geometry and Physics: Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, ... August 2005 (Nankai Tracts in Mathematics)
2 B 0 W - ) 1 / 2 ± ^ ' ^ f™ = [2(a2+g2B2^^)}-'/2[^±(a2+g2B^+^)l/2Ta]1/2. -M. -L. Ge, K. -B. Zhang where |Xu(t)> = cos2 ^ | x i i ) + - ^ s i n f l e - ^ l x i o ) + s i n 2 ie-^lxi-i), |Xi-iW> = sin2 ^ - o ' l x i i ) - - ^ s i n ^ e - ^ l x i o ) +cos 2 °-\Xi-i), \x±(t)) = ^ / P H - s i n ^ e ^ ^ l x i i ) + V^cos^Xio) + s i n 0 e - i - o t | x 1 _ 1 ) } +#)|Xoo>. 28) We then obtain ( X n ( t % l x i i ( * ) > = -«"o(l - cos )>
10) and hence j 1 w +1) = ^(i) + E i = w>+w) fc=i V>(-j) = V(l) + Hj) - lim - . -M. -L. Ge, K. -B. 12) j Separating the finite part from the infinity the H is nothing but the 6D derived in super Yang-Mills (TV = 4) with the approximation. Of course, the derivation of SD based on super Yang-Mills (N = 4) explores much larger symmetry than Lipatov model. Therefore, DNW's result shows that the Lipatov's model possesses Y(SO(6)) symmetry. 13) where u is spectrum parameter and a a free parameter allowed by YBE.
7. 8. 9. 10. 11. V. Drinfel'd, Sov. Math. Dokl. 32(1985) 32. V. Drinfel'd, Quantum group (PICM, Berkeley, 1986) 269. V. Drinfel'd, Sov. Math. Dokl. 36 (1985) 212. D. Faddeev, Sov. Sci. Rev. C I (1980) 107. D. Faddeev, Les Houches, Session 39, 1982. D. Faddeev, Proc. of Les Houches Summer School, Session L X I V (1998) 149. N. Yang, Phys. Rev. Lett. 19 (1967) 1312. R. Baxter, Exactly Solved Methods in Statistical Mechanics, Academic, London, 1982. M. Jimbo (ed), Yang-Baxter Equations in Integrable Systems, World Scientific, Singapore, 1990.