kilar zhang
TRANSCRIPT
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KILAR ZHANG (张弘)
National Taiwan Normal University
Based on collaboration work in progress with Prof. Y. Matsuo and Dr. K. Harada
And 1810.08512 K.Harada and Y. Matsuo1807.11304 M. Gaberdiel, W. Li and C. Peng1711.07449 M. Gaberdiel, W. Li, C. Peng and H. Zhang
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We start from the denition of the ane Yangian Y ([gl(1)) by Drinfeld currents
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Virasoro algebra
energy-momentumtensorcorrespondingtothestringaction
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Walgebra
Miura transformation
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Walgebra
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SupersymmetricVirasoro algebra
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SupersymmetricN=2 Virasoro algebra
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Lax operator
SupersymmetricN=2 Walgebra
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Lax operator
SupersymmetricN=2 Walgebra
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SupersymmetricN=2 Virasoro algebra
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SupersymmetricN=2 Walgebra
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SupersymmetricN=2 Walgebra
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plane partition representation for affine Yangian
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partition 54 + 13 + 23 + 1 + 12 + 2 + 12 + 1 + 1 + 11 + 1 + 1 + 1 + 1
Young diagram
The generating function for p(n) is given by
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partition 54 + 13 + 23 + 1 + 12 + 2 + 12 + 1 + 1 + 11 + 1 + 1 + 1 + 1
Young diagram
The generating function for p(n) is given by
the generating function for PL(n) is given by
plane partition
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Plane partition representation for N=2 affine Yangian
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Relation with Vertex operator algebra
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Plane partition realization of free WoWBosonic ghost
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Free fermion
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WoW: N = 2 W algebra
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Action of free field operators
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The OPE of e and x
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