Kirillov-Reshetikhin modules and fusion rings from CFT - Revision history

Chlee at 12:57, 28 September 2013

2013-09-28T12:57:59Z

Chlee at 14:35, 12 July 2013

2013-07-12T14:35:04Z

Chlee at 10:07, 11 July 2013

2013-07-11T10:07:17Z

Chlee at 15:10, 9 July 2013

2013-07-09T15:10:26Z

Chlee: Created page with "==remarks== * a brief exposition is given at On the boundary of Q-systems : introduction to the KNS conjecture ==talks== * Seminar on Algebra, Geometry and Physics, MPI,..."

2013-07-09T15:09:24Z

Created page with "==remarks== * a brief exposition is given at On the boundary of Q-systems : introduction to the KNS conjecture ==talks== * Seminar on Algebra, Geometry and Physics, MPI,..."

New page

==remarks==
* a brief exposition is given at [[On the boundary of Q-systems : introduction to the KNS conjecture]]

==talks==
* Seminar on Algebra, Geometry and Physics, MPI, 9/July/2013

==references==
===origin of the problem===
* Bazhanov, V. V., and N. Yu. Reshetikhin. 1989. “Critical RSOS Models and Conformal Field Theory.” International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology. Nuclear Physics 4 (1): 115–142. doi:[http://dx.doi.org/10.1142/S0217751X89000042 10.1142/S0217751X89000042].
* A. N. Kirillov (1989), Identities for the Rogers Dilogarithm Function Connected with Simple Lie Algebras. Journal of Soviet Mathematics 47
* Bazhanov, V. V., and N. Reshetikhin. 1990. “Restricted Solid-on-solid Models Connected with Simply Laced Algebras and Conformal Field Theory.” Journal of Physics A: Mathematical and General 23 (9) (May 7): 1477. doi:[http://dx.doi.org/10.1088/0305-4470/23/9/012 10.1088/0305-4470/23/9/012].: 2450–2459. doi:[http://dx.doi.org/10.1007/BF01840426 10.1007/BF01840426].
* Kuniba, A. (1993). Thermodynamics of the Uq(Xr(1)) Bethe ansatz system with q a root of unity. Nuclear Physics B, 389(1), 209–244. doi:10.1016/0550-3213(93)90291-V

===review paper===
* Kuniba, A., Nakanishi, T., & Suzuki, J. (2011). T -systems and Y -systems in integrable systems. Journal of Physics A: Mathematical and Theoretical, 44(10), 103001. High Energy Physics - Theory; Mathematical Physics; Mathematical Physics; Quantum Algebra; Exactly Solvable and Integrable Systems. doi:10.1088/1751-8113/44/10/103001
** see chapters 13 and 14

===my papers===
* A proof of the KNS conjecture : $D_r$ case, ''J. Phys. A: Math. Theor.'' '''46''' 165201 [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]
* Positivity and Periodicity of $Q$-systems in the WZW fusion ring [http://arxiv.org/abs/1302.1467 arxiv:1302.1467]

==pdf==
* [[File:Kirillov-Reshetikhin modules and fusion rings from CFT.pdf]]

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 ==talks==
-* [http://www.mpim-bonn.mpg.de/node/4770 Seminar on Algebra, Geometry and Physics], MPI, 9/July/2013
+* [http://www.mpim-bonn.mpg.de/node/4770 Seminar on Algebra, Geometry and Physics], MPI, Bonn, 9/Jul/2013
 ==pdf==
 * [[File:Kirillov-Reshetikhin modules and fusion rings from CFT.pdf]]

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	==remarks==		==remarks==
	* a brief exposition is given at [[On the boundary of Q-systems : introduction to the KNS conjecture]]		* a brief exposition is given at [[On the boundary of Q-systems : introduction to the KNS conjecture]]
		+	* see the bottom for talk slides

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 ==remarks==
-* a brief exposition is given at [[On the boundary of Q-systems : introduction to the KNS conjecture]]
+* a brief exposition is given at [[On the boundary of Q-systems : introduction to the KNS conjecture]] with references
 * see the bottom for talk slides
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 ==talks==
 * Seminar on Algebra, Geometry and Physics, MPI, 9/July/2013