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Volumn 175, Issue 827, 2005, Pages

Fermionic expressions for minimal model virasoro characters

(1)  Welsh, Trevor A a  

a NONE

Author keywords

Fermionic expressions; Path generating functions; Rogers Ramanujan identities; Virasoro characters

Indexed keywords


EID: 18144397237     PISSN: 00659266     EISSN: None     Source Type: Journal    
DOI: 10.1090/memo/0827     Document Type: Article
Times cited : (31)

References (46)
  • 1
    • 85032068412 scopus 로고
    • Lattice paths and multiple basic hypergeometric series
    • A.K. AGARWAL and D.M. BRESSOUD, Lattice paths and multiple basic hypergeometric series, Pac. J. Math. 136 (1989), 209-228.
    • (1989) Pac. J. Math. , vol.136 , pp. 209-228
    • Agarwal, A.K.1    Bressoud, D.M.2
  • 2
    • 0016272054 scopus 로고
    • An analytic generalization of the Rogers-Ramanujan identities for odd moduli
    • G.E. ANDREWS, An analytic generalization of the Rogers-Ramanujan identities for odd moduli, Proc. Nat. Acad. Sci. USA 71 (1974), 4082-4085.
    • (1974) Proc. Nat. Acad. Sci. USA , vol.71 , pp. 4082-4085
    • Andrews, G.E.1
  • 3
    • 84972580044 scopus 로고
    • Multiple series Rogers-Ramanujan type identities
    • _Multiple series Rogers-Ramanujan type identities, Pac. J. Math. 114 (1984), 267-283.
    • (1984) Pac. J. Math. , vol.114 , pp. 267-283
  • 6
    • 0021422438 scopus 로고
    • Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
    • G.E. ANDREWS, R.J. BAXTER and P.J. FORRESTER, Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities, J. Stat. Phys. 35 (1984), 193-266.
    • (1984) J. Stat. Phys. , vol.35 , pp. 193-266
    • Andrews, G.E.1    Baxter, R.J.2    Forrester, P.J.3
  • 9
    • 0010882054 scopus 로고
    • Infinite conformal symmetry in two-dimensional quantum field theory
    • A.A. BELAVIN, A.M. POLYAKOV and A.B. ZAMOLODCHIKOV, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B241 (1984), 333-380.
    • (1984) Nucl. Phys. , vol.B241 , pp. 333-380
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 10
    • 3943106507 scopus 로고
    • Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(v,v + 1). Exact results
    • A. BERKOVICH, Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(v,v + 1). Exact results, Nucl. Phys. B431 (1994), 315-348.
    • (1994) Nucl. Phys. , vol.B431 , pp. 315-348
    • Berkovich, A.1
  • 11
    • 0002195290 scopus 로고    scopus 로고
    • Continued fractions and fermionic representations for characters of M(p,p′) minimal models
    • A. BERKOVICH and B.M. MCCOY, Continued fractions and fermionic representations for characters of M(p,p′) minimal models, Lett. Math. Phys. 37 (1996), 49-66.
    • (1996) Lett. Math. Phys. , vol.37 , pp. 49-66
    • Berkovich, A.1    Mccoy, B.M.2
  • 12
    • 0000114390 scopus 로고    scopus 로고
    • Rogers-Schur-Ramanujan type identities for the M(p,p′) minimal models of conformal field theory
    • A. BERKOVICH, B.M. MCCOY and A. SCHILLING, Rogers-Schur-Ramanujan type identities for the M(p,p′) minimal models of conformal field theory, Commun. Math. Phys. 191 (1998), 325-395.
    • (1998) Commun. Math. Phys. , vol.191 , pp. 325-395
    • Berkovich, A.1    Mccoy, B.M.2    Schilling, A.3
  • 13
    • 0001175284 scopus 로고
    • Lattice paths and the Rogers-Ramanujan identities
    • Proceedings of the international Ramanujan centenary conference, Madras, ed. K. Alladi. Springer
    • D.M. BRESSOUD, Lattice paths and the Rogers-Ramanujan identities, in Proceedings of the international Ramanujan centenary conference, Madras, 1987, ed. K. Alladi. Lecture Notes in Mathematics 1395, Springer, 1989.
    • (1987) Lecture Notes in Mathematics , vol.1395
    • Bressoud, D.M.1
  • 14
    • 0034349064 scopus 로고    scopus 로고
    • Factorized combinations of Virasoro characters
    • A.G. BYTSKO and A. FRING, Factorized combinations of Virasoro characters, Commun. Math. Phys. 209 (2000), 179-205.
    • (2000) Commun. Math. Phys. , vol.209 , pp. 179-205
    • Bytsko, A.G.1    Fring, A.2
  • 15
    • 0000359066 scopus 로고
    • Factorized characters and form factors of descendant operators in perturbed conformal systems
    • P. CHRISTE, Factorized characters and form factors of descendant operators in perturbed conformal systems, Int. J. Mod. Phys. A 6 (1991), 5271-5286.
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 5271-5286
    • Christe, P.1
  • 17
    • 0000091238 scopus 로고    scopus 로고
    • Strings, paths and standard tableaux
    • S. DASMAHAPATRA and O. FODA, Strings, paths and standard tableaux, Int. J. Mod. Phys. A 13 (1998), 501-522.
    • (1998) Int. J. Mod. Phys. A , vol.13 , pp. 501-522
    • Dasmahapatra, S.1    Foda, O.2
  • 19
    • 34250139532 scopus 로고
    • Verma modules over the Virasoro algebra
    • B.L. FEIGIN and D.B. FUCHS, Verma modules over the Virasoro algebra, Funct. Anal. Appl. 17 (1983), 241-242.
    • (1983) Funct. Anal. Appl. , vol.17 , pp. 241-242
    • Feigin, B.L.1    Fuchs, D.B.2
  • 20
    • 0000371265 scopus 로고
    • BRST approach to minimal models
    • G. FELDER, BRST approach to minimal models, Nucl. Phys. B317 (1989), 215-236.
    • (1989) Nucl. Phys. , vol.B317 , pp. 215-236
    • Felder, G.1
  • 23
    • 0040060078 scopus 로고    scopus 로고
    • Virasoro character identities from the Andrews-Bailey construction
    • O. FODA and Y-H. QUANO, Virasoro character identities from the Andrews-Bailey construction, Int. J. Mod. Phys. A 12 (1997), 1651-1675.
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 1651-1675
    • Foda, O.1    Quano, Y.-H.2
  • 24
    • 18144426241 scopus 로고    scopus 로고
    • Melzer's identities revisited
    • O. FODA and T.A. WELSH, Melzer's identities revisited, Contemp. Math. 248 (1999), 207-234.
    • (1999) Contemp. Math. , vol.248 , pp. 207-234
    • Foda, O.1    Welsh, T.A.2
  • 25
    • 27244448782 scopus 로고    scopus 로고
    • On the combinatorics of Forrester-Baxter models
    • "Physical Combinatorics", Kyoto eds. M. Kashiwara and T. Miwa.
    • _On the combinatorics of Forrester-Baxter models, in "Physical Combinatorics", Kyoto 1999, eds. M. Kashiwara and T. Miwa. Progr. Math. 191 (2000), 49-103.
    • (1999) Progr. Math. , vol.191 , pp. 49-103
  • 26
    • 0000765049 scopus 로고
    • Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
    • P.J. FORRESTER and R.J. BAXTER, Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities, J. Stat. Phys. 38 (1985), 435-472.
    • (1985) J. Stat. Phys. , vol.38 , pp. 435-472
    • Forrester, P.J.1    Baxter, R.J.2
  • 28
    • 0000089115 scopus 로고
    • A combinatorial generalization of the Rogers-Ramanujan identities
    • B. GORDON, A combinatorial generalization of the Rogers-Ramanujan identities, Amer. J. Math. 83 (1961), 393-399.
    • (1961) Amer. J. Math. , vol.83 , pp. 393-399
    • Gordon, B.1
  • 30
    • 0001927173 scopus 로고
    • Fermionic sum representations for conformal field theory characters
    • R. KEDEM, T.R. KLASSEN, B.M. MCCOY and E. MELZER, Fermionic sum representations for conformal field theory characters, Phys. Lett. B307 (1993), 68-76.
    • (1993) Phys. Lett. , vol.B307 , pp. 68-76
    • Kedem, R.1    Klassen, T.R.2    Mccoy, B.M.3    Melzer, E.4
  • 31
    • 0002609511 scopus 로고
    • The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in 1+1-dimensional quantum field theory
    • Los Angeles ed. P. Bouwknegt et al., World Scientific, Singapore
    • R. KEDEM, B.M. MCCOY and E. MELZER, The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in 1+1-dimensional quantum field theory, in "Recent Progress in Statistical Mechanics and Quantum Field Theory", Los Angeles 1994, ed. P. Bouwknegt et al., World Scientific, Singapore (1995), 195-219.
    • (1994) Recent Progress in Statistical Mechanics and Quantum Field Theory , pp. 195-219
    • Kedem, R.1    Mccoy, B.M.2    Melzer, E.3
  • 32
    • 0000153229 scopus 로고
    • Ferro- and antiferro-magnetizations in RSOS models
    • A. KUNIBA, T. NAKANISHI and J. SUZUKI, Ferro- and antiferro-magnetizations in RSOS models, Nucl. Phys. B356 (1991), 750-774.
    • (1991) Nucl. Phys. , vol.B356 , pp. 750-774
    • Kuniba, A.1    Nakanishi, T.2    Suzuki, J.3
  • 34
    • 0000459037 scopus 로고
    • Fermionic character sums and the corner transfer matrix
    • E. MELZER, Fermionic character sums and the corner transfer matrix, Int. J. Mod. Phys. A 9 (1994), 1115-1136.
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 1115-1136
    • Melzer, E.1
  • 35
    • 0345788168 scopus 로고
    • Non-unitary minimal models and RSOS models
    • T. NAKANISHI, Non-unitary minimal models and RSOS models, Nucl. Phys. B334 (1990), 745-766.
    • (1990) Nucl. Phys. , vol.B334 , pp. 745-766
    • Nakanishi, T.1
  • 36
    • 0000812566 scopus 로고
    • Vacuum vector representations of the Virasoro algebra
    • eds. J. Lepowsky, S. Mandelstam and I.M. Singer, Springer
    • A. ROCHA-CARIDI, Vacuum vector representations of the Virasoro algebra, in "Vertex Operators in Mathematics and Physics", eds. J. Lepowsky, S. Mandelstam and I.M. Singer, Springer, 1985.
    • (1985) Vertex Operators in Mathematics and Physics
    • Rocha-Caridi, A.1
  • 37
    • 84960587118 scopus 로고
    • Second memoir on the expansion of certain infinite products
    • L.J. ROGERS, Second memoir on the expansion of certain infinite products, Proc. London Math. Soc. 25 (1894), 318-343.
    • (1894) Proc. London Math. Soc. , vol.25 , pp. 318-343
    • Rogers, L.J.1
  • 38
    • 0001410256 scopus 로고
    • Proof of certain identities in combinatory analysis
    • L.J. ROGERS and S. RAMANUJAN, Proof of certain identities in combinatory analysis, Proc. Cambridge Philos. Soc. 19 (1919), 211-216.
    • (1919) Proc. Cambridge Philos. Soc. , vol.19 , pp. 211-216
    • Rogers, L.J.1    Ramanujan, S.2
  • 40
    • 0035534920 scopus 로고    scopus 로고
    • Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
    • A. SCHILLING and M. SHIMOZONO, Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions, Commun. Math. Phys. 220 (2001), 105-164.
    • (2001) Commun. Math. Phys. , vol.220 , pp. 105-164
    • Schilling, A.1    Shimozono, M.2
  • 41
    • 84963093294 scopus 로고
    • Further identities of the Rogers-Ramanujan type
    • L.J. SLATER, Further identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 54 (1952), 147-167.
    • (1952) Proc. London Math. Soc. (2) , vol.54 , pp. 147-167
    • Slater, L.J.1
  • 42
    • 0001698539 scopus 로고
    • One-dimensional anisotropic Heisenberg model at finite temperatures
    • M. TAKAHASHI and M. SUZUKI, One-dimensional anisotropic Heisenberg model at finite temperatures, Prog. Theor. Phys. 48 (1972), 2187-2209.
    • (1972) Prog. Theor. Phys. , vol.48 , pp. 2187-2209
    • Takahashi, M.1    Suzuki, M.2
  • 43
    • 0001011048 scopus 로고    scopus 로고
    • Fermionic solution of the Andrews-Baxter-Forrester model I. Unification of TBA and CTM methods
    • S.O. WARNAAR, Fermionic solution of the Andrews-Baxter-Forrester model I. Unification of TBA and CTM methods, J. Stat. Phys. 82 (1996), 657-685.
    • (1996) J. Stat. Phys. , vol.82 , pp. 657-685
    • Warnaar, S.O.1
  • 44
    • 0002959773 scopus 로고    scopus 로고
    • Fermionic solution of the Andrews-Baxter-Forrester model II. Proof of Melzer's polynomial identities
    • _Fermionic solution of the Andrews-Baxter-Forrester model II. Proof of Melzer's polynomial identities, J. Stat. Phys. 84 (1997), 49-83.
    • (1997) J. Stat. Phys. , vol.84 , pp. 49-83
  • 45
    • 9144252151 scopus 로고    scopus 로고
    • The Bailey lemma and Kostka polynomials
    • _The Bailey lemma and Kostka polynomials, J. Alg. Combin. 20 (2004), 131-171.
    • (2004) J. Alg. Combin. , vol.20 , pp. 131-171
  • 46
    • 1542637386 scopus 로고    scopus 로고
    • A-D-E polynomial identities and Rogers-Ramanujan identities
    • S.O. WARNAAR and P.A. PEARCE, A-D-E polynomial identities and Rogers-Ramanujan identities, Int. J. Mod. Phys. A 11 (1996), 291-311.
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 291-311
    • Warnaar, S.O.1    Pearce, P.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.