Difference between revisions of "Kirillov-Reshetikhin modules and fusion rings from CFT"

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==remarks==
 
==remarks==
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* a brief exposition is given at [[On the boundary of Q-systems : introduction to the KNS conjecture]]
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* 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
 
* see the bottom for talk slides
  
  
 
==talks==
 
==talks==
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* Seminar on Algebra, Geometry and Physics, MPI, 9/July/2013
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* [http://www.mpim-bonn.mpg.de/node/4770 Seminar on Algebra, Geometry and Physics], MPI, Bonn, 9/Jul/2013
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* KIAS, Seoul, 30/Jul/2013
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* DIAS, Dublin, 26/Sep/2013
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==references==
 
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===origin of the problem===
 
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* 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].
 
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* A. N. Kirillov (1989), Identities for the Rogers Dilogarithm Function Connected with Simple Lie Algebras. Journal of Soviet Mathematics 47
 
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* 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].
 
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* 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
 
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===review paper===
 
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* 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
 
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** see chapters 13 and 14
 
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===my papers===
 
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* 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]
 
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* Positivity and Periodicity of $Q$-systems in the WZW fusion ring [http://arxiv.org/abs/1302.1467 arxiv:1302.1467]
 
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==pdf==
 
==pdf==
 
* [[File:Kirillov-Reshetikhin modules and fusion rings from CFT.pdf]]
 
* [[File:Kirillov-Reshetikhin modules and fusion rings from CFT.pdf]]

Latest revision as of 04:57, 28 September 2013

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