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The domain wall partition function for t...

Garbali, Alexander...

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The domain wall partition function for the Izergin-Korepin 19-vertex model at a root of unity by Garbali, Alexander ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We study the domain wall partition function $Z_N$ for the $U_q(A_2^{(2)})$ (Izergin-Korepin) integrable $19$-vertex model on a square lattice of size $N$. $Z_N$ is a symmetric function of two sets of parameters: horizontal $\zeta_1,..,\zeta_N$ and vertical $z_1,..,z_N$ rapidities. For generic values of the parameter $q$ we derive the recurrence relation for the domain wall partition function relating $Z_{N+1}$ to $P_N Z_N$, where $P_N$ is the proportionality factor in the recurrence, which is a polynomial symmetric in two sets of variables $\zeta_1,..,\zeta_N$ and $z_1,..,z_N$. After setting $q^3=-1$ the recurrence relation simplifies and we solve it in terms of a Jacobi-Trudi-like determinant of polynomials generated by $P_N$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1411.2903

Citation

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AMA 11th EditionReferences

Garbali, Alexander. The domain wall partition function for the Izergin-Korepin 19-vertex model at a root of unity. Australian National University. September 06, 2023. Accessed November 06, 2024. https://online.provdatabase.com/cite/23841

APA 7th EditionReferences

Garbali, Alexander. (2023). The domain wall partition function for the Izergin-Korepin 19-vertex model at a root of unity. Australian National University. https://online.provdatabase.com/cite/23841

Chicago 17th EditionReferences

Garbali, Alexander. The domain wall partition function for the Izergin-Korepin 19-vertex model at a root of unity. Australian National University. 2023. https://online.provdatabase.com/cite/23841

HarvardReferences

Garbali, Alexander. (2023). The domain wall partition function for the Izergin-Korepin 19-vertex model at a root of unity. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23841. (Accessed 06 November 2024).

Harvard AustraliaReferences

Garbali, Alexander, 2023, The domain wall partition function for the Izergin-Korepin 19-vertex model at a root of unity, Australian National University, viewed 06 November 2024, <https://online.provdatabase.com/cite/23841>

MLA 9th EditionWorks Cited

Garbali, Alexander. The domain wall partition function for the Izergin-Korepin 19-vertex model at a root of unity. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23841.

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