2010

Noncompact sl(N) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite dimensional transfer matrices

Derkachov, S. E., Manashov, A. N.

Understand

We study properties of transfer matrices in the sl(N) spin chain models.

  • The transfer matrices with an infinite dimensional auxiliary space are factorized into the product of N commuting Baxter Q-operators.
  • We consider the transfer matrices with auxiliary spaces of a special type (including the finite dimensional ones).
  • It is shown that they can be represented as the alternating sum over the transfer matrices with infinite dimensional auxiliary spaces.

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