Rafael Nepomechie

Professor

  • 3971 Citations
1981 …2020

Research output per year

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Research Output

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Article
2020

Completing the solution for the OSp(1|2) spin chain

Nepomechie, R. I., Feb 2020, In : Nuclear Physics B. 951, 114887.

Research output: Contribution to journalArticle

Open Access
2019

Free-Fermion entanglement and orthogonal polynomials

Crampé, N., Nepomechie, R. I. & Vinet, L., Sep 2 2019, In : Journal of Statistical Mechanics: Theory and Experiment. 2019, 9, 093101.

Research output: Contribution to journalArticle

The spectrum of quantum-group-invariant transfer matrices

Nepomechie, R. & Retore, A. L., Jan 1 2019, In : Nuclear Physics B. 938, p. 266-297 32 p.

Research output: Contribution to journalArticle

1 Scopus citations

Towards the solution of an integrable spin chain

Nepomechie, R. I., Pimenta, R. A. & Retore, A. L., Oct 3 2019, In : Journal of Physics A: Mathematical and Theoretical. 52, 43, 434004.

Research output: Contribution to journalArticle

1 Scopus citations
2018

A tale of two Bethe ansätze

Lima-Santos, A., Nepomechie, R. & Pimenta, R. A., Apr 26 2018, In : Journal of Statistical Mechanics: Theory and Experiment. 2018, 4, 043107.

Research output: Contribution to journalArticle

Equivalent T-Q relations and exact results for the open TASEP

Crampe, N. & Nepomechie, R., Oct 24 2018, In : Journal of Statistical Mechanics: Theory and Experiment. 2018, 10, 103105.

Research output: Contribution to journalArticle

1 Scopus citations

New D2 n+1 K-matrices with quantum group symmetry

Nepomechie, R. I. & Pimenta, R. A., Aug 30 2018, In : Journal of Physics A: Mathematical and Theoretical. 51, 39, 39LT02.

Research output: Contribution to journalArticle

3 Scopus citations

Surveying the quantum group symmetries of integrable open spin chains

Nepomechie, R. I. & Retore, A. L., May 2018, In : Nuclear Physics B. 930, p. 91-134 44 p.

Research output: Contribution to journalArticle

5 Scopus citations

The spin-s homogeneous central spin model: Exact spectrum and dynamics

Nepomechie, R. & Guan, X. W., Oct 24 2018, In : Journal of Statistical Mechanics: Theory and Experiment. 2018, 10, 103104.

Research output: Contribution to journalArticle

1 Scopus citations
2017

An inhomogeneous Lax representation for the Hirota equation

Fioravanti, D. & Nepomechie, R., Jan 4 2017, In : Journal of Physics A: Mathematical and Theoretical. 50, 5, 054001.

Research output: Contribution to journalArticle

4 Scopus citations

Quantum group symmetries and completeness for A(2) 2n open spin chains

Ahmed, I., Nepomechie, R. & Wang, C., Jun 19 2017, In : Journal of Physics A: Mathematical and Theoretical. 50, 28, 284002.

Research output: Contribution to journalArticle

4 Scopus citations

The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains

Nepomechie, R., Pimenta, R. A. & Retore, A. L., Nov 1 2017, In : Nuclear Physics B. 924, p. 86-127 42 p.

Research output: Contribution to journalArticle

5 Scopus citations
2016

Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity

Gainutdinov, A. M. & Nepomechie, R. I., Aug 1 2016, In : Nuclear Physics B. 909, p. 796-839 44 p.

Research output: Contribution to journalArticle

9 Scopus citations

Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain

Nepomechie, R. & Pimenta, R. A., Jan 25 2016, (Accepted/In press) In : Nuclear Physics B.

Research output: Contribution to journalArticle

2 Scopus citations

Universal Bethe ansatz solution for the Temperley-Lieb spin chain

Nepomechie, R. & Pimenta, R. A., Jan 25 2016, (Accepted/In press) In : Nuclear Physics B.

Research output: Contribution to journalArticle

5 Scopus citations

Wrapping corrections for non-diagonal boundaries in AdS/CFT

Bajnok, Z. & Nepomechie, R., Feb 1 2016, In : Journal of High Energy Physics. 2016, 2, p. 1-23 23 p., 24.

Research output: Contribution to journalArticle

2 Scopus citations
2015

Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries

Zhang, X., Cao, J., Cui, S., Nepomechie, R., Yang, W. L., Shi, K. & Wang, Y., Oct 1 2015, In : Journal of High Energy Physics. 2015, 10, 133.

Research output: Contribution to journalArticle

8 Scopus citations

Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity

Gainutdinov, A. M., Hao, W., Nepomechie, R. & Sommese, A. J., Nov 18 2015, In : Journal of Physics A: Mathematical and Theoretical. 48, 49, 494003.

Research output: Contribution to journalArticle

11 Scopus citations

Fusion for AdS/CFT boundary S-matrices

Nepomechie, R. & Pimenta, R. A., Nov 1 2015, In : Journal of High Energy Physics. 2015, 11, p. 1-17 17 p., 161.

Research output: Contribution to journalArticle

1 Scopus citations
2014

Boundary energy of the open XXX chain with a non-diagonal boundary term

Nepomechie, R. I. & Wang, C., Jan 24 2014, In : Journal of Physics A: Mathematical and Theoretical. 47, 3, 032001.

Research output: Contribution to journalArticle

11 Scopus citations

Singular solutions, repeated roots and completeness for higher-spin chains

Hao, W., Nepomechie, R. & Sommese, A. J., 2014, In : Journal of Statistical Mechanics: Theory and Experiment. 2014, 3, P03024.

Research output: Contribution to journalArticle

20 Scopus citations

The spectrum of tachyons in AdS/CFT

Bajnok, Z., Drukker, N., Hegedűs, Á., Nepomechie, R. I., Palla, L., Sieg, C. & Suzuki, R., Mar 2014, In : Journal of High Energy Physics. 2014, 3, 55.

Research output: Contribution to journalArticle

12 Scopus citations

Twisting singular solutions of Bethe's equations

Nepomechie, R. I. & Wang, C., Dec 19 2014, In : Journal of Physics A: Mathematical and Theoretical. 47, 50, 505004.

Research output: Contribution to journalArticle

15 Scopus citations
2013

Algebraic Bethe ansatz for singular solutions

Nepomechie, R. I. & Wang, C., Aug 16 2013, In : Journal of Physics A: Mathematical and Theoretical. 46, 32, 325002.

Research output: Contribution to journalArticle

25 Scopus citations
43 Scopus citations

Completeness of solutions of Bethe's equations

Hao, W., Nepomechie, R. I. & Sommese, A. J., Nov 11 2013, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 88, 5, 052113.

Research output: Contribution to journalArticle

40 Scopus citations
2012

OPE in planar QCD from integrability

Ahn, C., Foda, O. & Nepomechie, R. I., Jul 30 2012, In : Journal of High Energy Physics. 2012, 6, 168.

Research output: Contribution to journalArticle

6 Scopus citations

Y-system for Y = 0 brane in planar AdS/CFT

Bajnok, Z., Nepomechie, R. I., Palla, L. & Suzuki, R., Sep 10 2012, In : Journal of High Energy Physics. 2012, 8, 149.

Research output: Contribution to journalArticle

15 Scopus citations
2011

Revisiting the Y = 0 open spin chain at one loop

Nepomechie, R. I., Jan 1 2011, In : Journal of High Energy Physics. 2011, 11, 69.

Research output: Contribution to journalArticle

7 Scopus citations

TBA, NLO Lüscher correction, and double wrapping in twisted AdS/CFT

Ahn, C., Bajnok, Z., Bombardelli, D. & Nepomechie, R. I., 2011, In : Journal of High Energy Physics. 2011, 12, 059.

Research output: Contribution to journalArticle

47 Scopus citations

Twisted Bethe equations from a twisted S-matrix

Ahn, C., Bajnok, Z., Bombardelli, D. & Nepomechie, R. I., Sep 28 2011, In : Journal of High Energy Physics. 2011, 2, 027.

Research output: Contribution to journalArticle

31 Scopus citations
2010

Finite-size effect for four-loop Konishi of the β-deformed N=4 SYM

Ahn, C., Bajnok, Z., Bombardelli, D. & Nepomechie, R. I., Oct 1 2010, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 693, 3, p. 380-385 6 p.

Research output: Contribution to journalArticle

26 Scopus citations

Nested algebraic Bethe ansatz for open GL (N) spin chains with projected K-matrices

Nepomechie, R. I., Jun 1 2010, In : Nuclear Physics B. 831, 3, p. 429-451 23 p.

Research output: Contribution to journalArticle

4 Scopus citations

On the absence of reflection in AdS 4/CFT 3

Ahn, C., Dorey, P. & Nepomechie, R. I., Aug 2 2010, In : Journal of High Energy Physics. 2010, 1, 129.

Research output: Contribution to journalArticle

4 Scopus citations

Yangian symmetry and bound states in AdS/CFT boundary scattering

Ahn, C. & Nepomechie, R. I., Jan 1 2010, In : Journal of High Energy Physics. 2010, 5, 16.

Research output: Contribution to journalArticle

25 Scopus citations
2009

An alternative S-matrix for N=6 Chern-Simons theory?

Ahn, C. & Nepomechie, R. I., Jul 7 2009, In : Journal of High Energy Physics. 2009, 3, 068.

Research output: Contribution to journalArticle

10 Scopus citations

Bethe ansatz equations for open spin chains from giant gravitons

Nepomechie, R. I., Jul 16 2009, In : Journal of High Energy Physics. 2009, 5, 100.

Research output: Contribution to journalArticle

13 Scopus citations

Two-loop test of the N = 6 Chern-Simons theory S-matrix

Ahn, C. & Nepomechie, R. I., Jul 16 2009, In : Journal of High Energy Physics. 2009, 3, 144.

Research output: Contribution to journalArticle

18 Scopus citations
2008

Analytical Bethe ansatz for the open AdS/CFT SU (1|1) spin chain

Nepomechie, R. I. & Ragoucy, E., Jan 1 2008, In : Journal of High Energy Physics. 2008, 12, 025.

Research output: Contribution to journalArticle

5 Scopus citations

N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations

Ahn, C. & Nepomechie, R. I., Sep 1 2008, In : Journal of High Energy Physics. 2008, 9, 010.

Research output: Contribution to journalArticle

96 Scopus citations

Open-chain transfer matrices for AdS/CFT

Murgan, R. & Nepomechie, R. I., Sep 1 2008, In : Journal of High Energy Physics. 2008, 9, 085.

Research output: Contribution to journalArticle

12 Scopus citations

Q-deformed su(2|2) boundary S-matrices via the ZF algebra

Murgan, R. & Nepomechie, R. I., Jun 1 2008, In : Journal of High Energy Physics. 2008, 6, 096.

Research output: Contribution to journalArticle

13 Scopus citations

The QCD spin chain S matrix

Ahn, C., Nepomechie, R. I. & Suzuki, J., Aug 1 2008, In : Nuclear Physics B. 798, 3, p. 402-422 21 p.

Research output: Contribution to journalArticle

1 Scopus citations

The Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons

Ahn, C. & Nepomechie, R. I., May 1 2008, In : Journal of High Energy Physics. 2008, 5, 059.

Research output: Contribution to journalArticle

23 Scopus citations
2007
34 Scopus citations

Boundary energy of the general open XXZ chain at roots of unity

Murgan, R., Nepomechie, R. I. & Shi, C., Jan 1 2007, In : Journal of High Energy Physics. 2007, 1, 038.

Research output: Contribution to journalArticle

4 Scopus citations

Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions

Ahn, C., Nepomechie, R. I. & Suzuki, J., Apr 9 2007, In : Nuclear Physics B. 767, 3, p. 250-294 45 p.

Research output: Contribution to journalArticle

14 Scopus citations
2006

Boundary energy of the open XXZ chain from new exact solutions

Murgan, R., Nepomechie, R. I. & Shi, C., Dec 1 2006, In : Annales Henri Poincare. 7, 7-8, p. 1429-1448 20 p.

Research output: Contribution to journalArticle

8 Scopus citations
41 Scopus citations

Q-operator and T-Q relation from the fusion hierarchy

Yang, W. L., Nepomechie, R. I. & Zhang, Y. Z., Feb 16 2006, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 633, 4-5, p. 664-670 7 p.

Research output: Contribution to journalArticle

66 Scopus citations