Manashov Aleksandr Nikolaevich

Publications in Math-Net.Ru

1. Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains
   
   SIGMA, 19 (2023), 086, 24 pp.
2. Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains
   
   SIGMA, 17 (2021), 063, 26 pp.
3. Mellin–Barnes integrals related to the Lie algebra $u(N)$
   
   Zap. Nauchn. Sem. POMI, 509 (2021),  176–184
4. On Complex Gamma-Function Integrals
   
   SIGMA, 16 (2020), 003, 20 pp.
5. $\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals
   
   SIGMA, 14 (2018), 030, 16 pp.
6. On the spectrum of anomalous dimensions of composite operators in the scalar field theory
   
   Zap. Nauchn. Sem. POMI, 374 (2010),  136–169
7. General solution of the Yung–Baxter equation with symmetry group $\mathrm{SL}(\mathrm n,\mathbb C)$
   
   Algebra i Analiz, 21:4 (2009),  1–94
8. $\mathcal R$-Matrix and Baxter $\mathcal Q$-Operators for the Noncompact $\mathrm{SL}(N,\mathbb C)$ Invariant Spin Chain
   
   SIGMA, 2 (2006), 084, 20 pp.
9. Critical dimensions of composite operators in the nonlinear $\sigma$-model
   
   TMF, 116:3 (1998),  379–400
10. Generalization of the Skyrme model for $\pi$ and $\pi'$-mesons
    
    Zap. Nauchn. Sem. LOMI, 189 (1991),  10–14
11. An origin vertices dimension 4 in QCD-inspired chiral Lagrangians
    
    Zap. Nauchn. Sem. LOMI, 180 (1990),  9–22