메뉴 건너뛰기




Volumn 5, Issue 5, 2001, Pages 1-24

The minimal unitary representation of E8(8)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79551480683     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2001.v5.n5.a3     Document Type: Article
Times cited : (38)

References (36)
  • 2
    • 0001235633 scopus 로고
    • Irreducible unitary representations of the Lorentz group
    • V. Bargmann. Irreducible unitary representations of the Lorentz group Ann. Math. 48, 568 (1947).
    • (1947) Ann. Math. , vol.48 , pp. 568
    • Bargmann, V.1
  • 3
    • 0010873638 scopus 로고
    • Conformal field theories via Hamiltonian reduction Comm
    • M. Bershadsky. Conformal field theories via Hamiltonian reduction Comm. Math. Phys. 139, 67 (1993).
    • (1993) Math. Phys. , vol.139 , pp. 67
    • Bershadsky, M.1
  • 4
    • 0031556450 scopus 로고    scopus 로고
    • Real forms of non-linear superconformal and quasi-superconformal algebras and their unified realization
    • B. Bina and M. Günaydin. Real forms of non-linear superconformal and quasi-superconformal algebras and their unified realization. Nucl. Phys. B502, 713 (1997).
    • (1997) Nucl. Phys. , vol.B502 , pp. 713
    • Bina, B.1    Günaydin, M.2
  • 5
    • 0028351872 scopus 로고
    • 8 and the generalized Capelli identity
    • R. Brylinski, B. Kostant. Minimal representations of e6, e7, and e8 and the generalized Capelli identity. Proc. Natl. Acad. Sci. 91, 2469 (1994)
    • (1994) Proc. Natl. Acad. Sci. , vol.91 , pp. 2469
    • Brylinski, R.1    Kostant, B.2
  • 6
    • 0028201022 scopus 로고
    • Minimal representations, geometric quantization, and unitarity
    • R. Brylinski, B. Kostant. Minimal representations, geometric quantization, and unitarity. Proc. Natl. Acad. Sci. 91, 6026 (1994)
    • (1994) Proc. Natl. Acad. Sci. , vol.91 , pp. 6026
    • Brylinski, R.1    Kostant, B.2
  • 7
    • 0002591368 scopus 로고
    • 8
    • R. Brylinski, B. Kostant. Lagrangian models of minimal representations of e6, e7 and e8. Prog. Math. 131, 13 (1995)
    • (1995) Prog. Math. , vol.131 , pp. 13
    • Brylinski, R.1    Kostant, B.2
  • 8
    • 79551503488 scopus 로고    scopus 로고
    • Geometric quantization and holomorphic half-form models of unitary minimal representations I Preprint
    • R. Brylinski, B. Kostant. Geometric quantization and holomorphic half-form models of unitary minimal representations I Preprint (1996)
    • (1996)
    • Brylinski, R.1    Kostant, B.2
  • 10
    • 0042788474 scopus 로고
    • The SO(8) supergravity
    • E. Cremmer, B. Julia. The SO(8) supergravity. Nucl. Phys. B159, 141 (1979)
    • (1979) Nucl. Phys. , vol.B159 , pp. 141
    • Cremmer, E.1    Julia, B.2
  • 11
    • 51249188500 scopus 로고
    • Conformal invariance in quantum mechanics
    • V. de Alfaro, S. Fubini, G. Furlan. Conformal invariance in quantum mechanics. Nuovo Cim. A34, 569 (1976)
    • (1976) Nuovo Cim , vol.A34 , pp. 569
    • de Alfaro, V.1    Fubini, S.2    Furlan, G.3
  • 12
    • 0000441696 scopus 로고
    • d = 11 supergravity with local SU(8) invariance Nucl
    • B. de Wit, H. Nicolai. d = 11 supergravity with local SU(8) invariance Nucl. Phys. B274, 363 (1986)
    • (1986) Phys , vol.B274 , pp. 363
    • de Wit, B.1    Nicolai, H.2
  • 13
    • 0001619610 scopus 로고    scopus 로고
    • Orbits of exceptional groups, duality and BPS states in string theory
    • S. Ferrara, M. Günaydin. Orbits of exceptional groups, duality and BPS states in string theory. Int. J. Mod. Phys., A13, 2075 (1998).
    • (1998) Int. J. Mod. Phys. , vol.A13 , pp. 2075
    • Ferrara, S.1    Günaydin, M.2
  • 14
    • 0032395187 scopus 로고    scopus 로고
    • Branes, central charges and U-duality invariant BPS conditions
    • S. Ferrara, J. Maldacena. Branes, central charges and U-duality invariant BPS conditions. Class. Quant. Grav., 15, 749 (1998).
    • (1998) Class. Quant. Grav. , vol.15 , pp. 749
    • Ferrara, S.1    Maldacena, J.2
  • 16
    • 79551500564 scopus 로고
    • B282, 352 (1992)
    • (1992) , vol.B282 , pp. 352
  • 17
    • 0000270494 scopus 로고    scopus 로고
    • Black holes and Calogero models
    • G. W. Gibbons and P. K. Townsend. Black holes and Calogero models. Phys. Lett. B454, 187 (1999).
    • (1999) Phys. Lett. , vol.B454 , pp. 187
    • Gibbons, G.W.1    Townsend, P.K.2
  • 18
    • 0038511792 scopus 로고
    • A distinguished family of unitary representations for the exceptional groups of real rank =4, in Lie Theory and Geometry: in Honor of B. Kostant, J.-L. Brylinski, R. Brylinski, V. Guillemin, V. Kac, eds Birkhauser, Boston
    • B. Gross and N. Wallach. A distinguished family of unitary representations for the exceptional groups of real rank =4, in Lie Theory and Geometry: in Honor of B. Kostant, J.-L. Brylinski, R. Brylinski, V. Guillemin, V. Kac, eds, Progress in Mathematics 123, Birkhauser, Boston (1994), 289-304.
    • (1994) Progress in Mathematics , vol.123 , pp. 289-304
    • Gross, B.1    Wallach, N.2
  • 19
    • 0035620746 scopus 로고    scopus 로고
    • Conformal and quasiconformal realizations of exceptional Lie groups
    • (2001)
    • M. Günaydin, K. Koepsell, H. Nicolai. Conformal and quasiconformal realizations of exceptional Lie groups (2000). Commun. Math. Phys. 221, 57 (2001)
    • (2000) Commun. Math. Phys. , vol.221 , pp. 57
    • Günaydin, M.1    Koepsell, K.2    Nicolai, H.3
  • 20
    • 0002471984 scopus 로고
    • Oscillator like unitary representations of noncompact groups with a Jordan structure and the noncompact groups of supergravity
    • M. Günaydin, C. Saçlioǧlu. Oscillator like unitary representations of noncompact groups with a Jordan structure and the noncompact groups of supergravity. Commun. Math. Phys. 87, 159 (1982)
    • (1982) Commun. Math. Phys. , vol.87 , pp. 159
    • Günaydin, M.1    Saçlioǧlu, C.2
  • 21
    • 0009311513 scopus 로고
    • Representations of semisimple Lie groups
    • Harish-Chandra. Representations of semisimple Lie groups. V. Am. J. Math. 78, 1 (1956)
    • (1956) V. Am. J. Math. , vol.78 , pp. 1
    • Harish-Chandra1
  • 22
    • 0000964209 scopus 로고
    • Representations of semisimple Lie groups VI Integrable and square-integrable representations
    • Harish-Chandra. Representations of semisimple Lie groups VI. Integrable and square-integrable representations. Am. J. Math. 78, 564 (1956)
    • (1956) Am. J. Math. , vol.78 , pp. 564
    • Harish-Chandra1
  • 23
    • 0001462983 scopus 로고
    • Minimal realizations and spectrum generating algebras
    • A. Joseph. Minimal realizations and spectrum generating algebras. Commun. Math. Phys. 36, 325 (1974)
    • (1974) Commun. Math. Phys. , vol.36 , pp. 325
    • Joseph, A.1
  • 24
    • 0002797638 scopus 로고
    • The minimal orbit in a simple Lie algebra and its associated maximal ideal
    • A. Joseph. The minimal orbit in a simple Lie algebra and its associated maximal ideal. Ann. Sci. Ec. Norm. Super., IV. Ser. 9, 1 (1976)
    • (1976) Ann. Sci. Ec. Norm. Super., IV. Ser. , vol.9 , pp. 1
    • Joseph, A.1
  • 25
    • 1542459047 scopus 로고    scopus 로고
    • E(7) symmetric area of black hole horizon
    • R. Kallosh, B. Kol. E(7) symmetric area of black hole horizon Phys. Rev. D53, 5344 (1996)
    • (1996) Phys. Rev. , vol.D53 , pp. 5344
    • Kallosh, R.1    Kol, B.2
  • 26
    • 0000269229 scopus 로고
    • The smallest representation of simply laced groups Israel Math. Conf. Proceedings
    • D. Kazhdan, G. Savin. The smallest representation of simply laced groups Israel Math. Conf. Proceedings, Piatetski-Shapiro Festschrift 2, 209 (1990)
    • (1990) Piatetski-Shapiro Festschrift , vol.2 , pp. 209
    • Kazhdan, D.1    Savin, G.2
  • 27
    • 0036002923 scopus 로고    scopus 로고
    • Minimal representations, spherical vectors, and exceptional theta series I
    • D. Kazhdan, B. Pioline, A. Waldron. Minimal representations, spherical vectors, and exceptional theta series I. Commun. Math. Phys. 226, 1 (2002).
    • (2002) Commun. Math. Phys. , vol.226 , pp. 1
    • Kazhdan, D.1    Pioline, B.2    Waldron, A.3
  • 28
    • 79551497632 scopus 로고    scopus 로고
    • See
    • See: http://www.lpthe.jussieu.fr/~pioline/minrep/E8.h.
  • 30
    • 79551487361 scopus 로고    scopus 로고
    • PhD Thesis, Hamburg University June
    • K. Koepsell. PhD Thesis, Hamburg University (June 2001)
    • (2001)
    • Koepsell, K.1
  • 31
    • 33646045025 scopus 로고    scopus 로고
    • Superconformal multi-black hole quantum mechanics
    • J. Michelson, A. Strominger. Superconformal multi-black hole quantum mechanics. JHEP 09, 005 (1999)
    • (1999) JHEP , vol.9 , pp. 005
    • Michelson, J.1    Strominger, A.2
  • 35
    • 79551484311 scopus 로고    scopus 로고
    • U-duality from matrix membrane partition function
    • F. Sugino, P. Vanhove, U-duality from matrix membrane partition function.
    • Sugino, F.1    Vanhove, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.