Duality relations for overlaps of integrable boundary states in AdS/dCFT
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Duality relations for overlaps of integrable boundary states in AdS/dCFT. / Kristjansen, Charlotte; Muller, Dennis; Zarembo, Konstantin.
I: Journal of High Energy Physics, Bind 2021, Nr. 9, 004, 01.09.2021.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Duality relations for overlaps of integrable boundary states in AdS/dCFT
AU - Kristjansen, Charlotte
AU - Muller, Dennis
AU - Zarembo, Konstantin
PY - 2021/9/1
Y1 - 2021/9/1
N2 - The encoding of all possible sets of Bethe equations for a spin chain with SU(N vertical bar M) symmetry into a QQ-system calls for an expression of spin chain overlaps entirely in terms of Q-functions. We take a significant step towards deriving such a universal formula in the case of overlaps between Bethe eigenstates and integrable boundary states, of relevance for AdS/dCFT, by determining the transformation properties of the overlaps under fermionic as well as bosonic dualities which allows us to move between any two descriptions of the spin chain encoded in the QQ-system. An important part of our analysis involves introducing a suitable regularization for singular Bethe root configurations.
AB - The encoding of all possible sets of Bethe equations for a spin chain with SU(N vertical bar M) symmetry into a QQ-system calls for an expression of spin chain overlaps entirely in terms of Q-functions. We take a significant step towards deriving such a universal formula in the case of overlaps between Bethe eigenstates and integrable boundary states, of relevance for AdS/dCFT, by determining the transformation properties of the overlaps under fermionic as well as bosonic dualities which allows us to move between any two descriptions of the spin chain encoded in the QQ-system. An important part of our analysis involves introducing a suitable regularization for singular Bethe root configurations.
KW - Bethe Ansatz
KW - Lattice Integrable Models
KW - ONE-POINT FUNCTIONS
KW - BETHE-ANSATZ
KW - EQUATIONS
KW - MATRIX
U2 - 10.1007/JHEP09(2021)004
DO - 10.1007/JHEP09(2021)004
M3 - Journal article
VL - 2021
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 9
M1 - 004
ER -
ID: 279762039