852 research outputs found

    GHOST COHOMOLOGIES AND HIDDEN SPACE–TIME SYMMETRIES

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    We observe and study new nonlinear global space-time symmetries of the full ghost + matter action of RNS superstring theory. We show that these surprising new symmetries are generated by the special worldsheet currents (physical vertex operators) of RNS superstring theory, violating the equivalence of superconformal ghost pictures. We review the questions of BRST-invariance and nontriviality of picture-dependent vertex operators and show their relation to hidden space-time symmetries and hidden space-time dimensions. In particular, we relate the space-time transformations, induced by picture-dependent currents, to the symmetries observed in the 2T physics approach. © World Scientific Publishing Company.Bars I, 1999, PHYS REV D, V59, DOI 10.1103-PhysRevD.59.045019; Bars I, 1999, PHYS REV D, V59, DOI 10.1103-PhysRevD.59.125004; Bars I, 1999, PHYS LETT B, V457, P275, DOI 10.1016-S0370-2693(99)00582-1; KLEBANOV IR, 1991, MOD PHYS LETT A, V6, P3273, DOI 10.1142-S021773239100378X; KLEBANOV IR, 1993, PHYS REV LETT, V71, P3243, DOI 10.1103-PhysRevLett.71.3243; Kogan II, 2003, INT J MOD PHYS A, V18, P1827, DOI 10.1142-S0217751X03013715; LIAN BH, 1991, PHYS LETT B, V254, P417, DOI 10.1016-0370-2693(91)91177-W; Polyakov D, 2005, INT J MOD PHYS A, V20, P2603, DOI 10.1142-S0217751X05020999; Polyakov D, 2002, PHYS REV D, V65, DOI 10.1103-PhysRevD.65.084041; POLYAKOV D, IN PRESS INT J MOD P; Polyakov D, 2005, INT J MOD PHYS A, V20, P4001, DOI 10.1142-S0217751X05024274; VERLINDE E, 1987, PHYS LETT B, V192, P95, DOI 10.1016-0370-2693(87)91148-8; WITTEN E, 1992, NUCL PHYS B, V373, P187, DOI 10.1016-0550-3213(92)90454-J57

    Fluid dynamics of NSR strings

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    We show that the renormalization group flows of the massless superstring modes in the presence of fluctuating D-branes satisfy the equations of fluid dynamics. In particular, we show that the D-brane's U(1) field is related to the velocity function in the Navier-Stokes equation while the dilaton plays the role of the passive scalar advected by the turbulent liquid. This leads us to suggest a possible isomorphism between the off-shell superstring theory in the presence of fluctuating D-branes and the fluid mechanical degrees of freedom. © World Scientific Publishing Company.D'Hoker E, 2002, NUCL PHYS B, V636, P3, DOI 10.1016-S0550-3213(02)00431-5; FEIGENBAUM MJ, 1978, J STAT PHYS, V19, P25, DOI 10.1007-BF01020332; FRADKIN ES, 1985, NUCL PHYS B, V261, P1, DOI 10.1016-0550-3213(85)90559-0; FRIEDAN D, 1986, NUCL PHYS B, V271, P93; GAWEDZKI K, 1995, PHYS REV LETT, V75, P3834; Gubser SS, 1998, PHYS LETT B, V428, P105, DOI 10.1016-S0370-2693(98)00377-3; KNIZHNIK VG, 1989, USP FIZ NAUK+, V159, P401, DOI 10.3367-UFNr.0159.198911a.0401; KOBA Z, 1969, NUCL PHYS B, VB 12, P517, DOI 10.1016-0550-3213(69)90071-6; Kogan I, 2003, PHYS ATOM NUCL+, V66, P2062, DOI 10.1134-1.1625749; Kogan II, 2003, INT J MOD PHYS A, V18, P1827, DOI 10.1142-S0217751X03013715; KRAICHNA.RH, 1968, PHYS FLUIDS, V11, P945, DOI 10.1063-1.1692063; KRAICHNAN RH, 1994, PHYS REV LETT, V72, P1016, DOI 10.1103-PhysRevLett.72.1016; Maldacena J M, 1998, ADV THEOR MATH PHYS, V2, P231, DOI DOI 10.1023-A:1026654312961; Polyakov A, 2000, NUCL PHYS B, V581, P116, DOI 10.1016-S0550-3213(00)00183-8; Polyakov AM, 1997, NUCL PHYS B, V486, P23, DOI 10.1016-S0550-3213(96)00601-3; Polyakov D, 2002, PHYS REV D, V65, DOI 10.1103-PhysRevD.65.084041; POLYAKOV D, HEPTH0401009; VERLINDE E, 1987, PHYS LETT B, V192, P95, DOI 10.1016-0370-2693(87)91148-8; Witten E., 1998, ADV THEOR MATH PHYS, V2, P253, DOI DOI 10.1016-S0370-1573(99)00083-644

    GL(1) charged states in twistor string theory

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    We discuss the appearance of the GL(1) charged physical operators in the twistor string theory. These operators are shown to be BRST-invariant and non-trivial and some of their correlators and conformal β-functions are computed. Remarkably, the non-conservation of the GL(1) charge in interactions involving these operators, is related to the anomalous term in the Kac-Moody current algebra. While these operators play no role in the maximum helicity violating (MHV) amplitudes, they are shown to contribute non-trivially to the non-MHV correlators in the presence of the worldsheet instantons. We argue that these operators describe the non-perturbative dynamics of solitons in conformal supergravity. The exact form of such solitonic solutions is yet to be determined. © 2005 Published by Elsevier B.V.Azcarraga J., 1989, PHYS REV LETT, V3, P2443; Berkovits N., 2004, JHEP, V0404; Berkovits N., 2004, JHEP, V0408, P009; CACHAZO F, 2004, JHEP, V410; Gubser SS, 1998, PHYS LETT B, V428, P105, DOI 10.1016-S0370-2693(98)00377-3; Maldacena J M, 1998, ADV THEOR MATH PHYS, V2, P231, DOI DOI 10.1023-A:1026654312961; POLYAKOV D, HEPTH0406079; POLYAKOV D, IN PRESS INT J MOD P; Witten E., 1998, ADV THEOR MATH PHYS, V2, P253, DOI DOI 10.1016-S0370-1573(99)00083-6; Witten E., HEPTH9112056; Witten E, 2004, COMMUN MATH PHYS, V252, P189, DOI 10.1007-s00220-004-1187-344

    Wilson-Polyakov surfaces and M-theory branes

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    In this paper, we study the M-brane description of the Wilson-Polyakov surfaces in six-dimensional (2, 0) field theory at finite temperature. We investigate the membrane solution dual to a straight Wilons-Polyakov surface and compute the interaction potential between two parallel straight strings by using AdS/CFT correspondence. Furthermore we discuss the M5-brane solutions dual to various Wilson-Polyakov surfaces. Finally we obtain a universal result about M5-brane solutions in generic backgrounds.Physics, Particles & FieldsSCI(E)2ARTICLE5nul

    New superstring isometries and hidden dimensions

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    We study the hierarchy of hidden space-time symmetries of noncritical strings in RNS formalism, realized nonlinearly. Under these symmetry transformations the variation of the matter part of the RNS action is canceled by that of the ghost part. These symmetries, referred to as the α-symmetries, are induced by special space-time generators, violating the equivalence of ghost pictures. We classify the α-symmetry generators in terms of superconformal ghost cohomologies Hn ∼ H -n-2(n andgt; 0) and associate these generators with a chain of hidden space-time dimensions, with each ghost cohomology Hn ∼ H -n-2 contributing an extra dimension. Namely, we show that each ghost cohomology Hn ∼ H-n-2 of noncritical superstring theory in d-dimensions contains d + n + 1 α-symmetry generators and the generators from Hk ∼ H-k-2, 1 andlt; k andlt; n, combined together, extend the space-time isometry group from the naive SO(d, 2) to SO(d + n, 2). In the simplest case of n = 1 the α-generators are identified with the extra symmetries of the 2T-physics formalism, also known to originate from a hidden space-time dimension. © World Scientific Publishing Company.Bars I, 1999, PHYS REV D, V59, DOI 10.1103-PhysRevD.59.045019; Bars I, 1999, PHYS REV D, V59, DOI 10.1103-PhysRevD.59.125004; Bars I, 1999, PHYS LETT B, V457, P275, DOI 10.1016-S0370-2693(99)00582-1; Bars I, 1997, PHYS REV D, V55, P2373, DOI 10.1103-PhysRevD.55.2373; KLEBANOV IR, 1991, MOD PHYS LETT A, V6, P3273, DOI 10.1142-S021773239100378X; KLEBANOV IR, 1993, PHYS REV LETT, V71, P3243, DOI 10.1103-PhysRevLett.71.3243; LIAN BH, 1991, PHYS LETT B, V254, P417, DOI 10.1016-0370-2693(91)91177-W; Polyakov D, 2007, INT J MOD PHYS A, V22, P1375, DOI 10.1142-S0217751X07035148; Polyakov D, 2007, INT J MOD PHYS A, V22, P2441, DOI 10.1142-S0217751X07036269; Vafa C, 1996, NUCL PHYS B, V469, P403, DOI 10.1016-0550-3213(96)00172-1; WITTEN E, 1992, NUCL PHYS B, V373, P187, DOI 10.1016-0550-3213(92)90454-J44

    CONFORMAL MODULI AND b-c PICTURES FOR NSR STRINGS

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    We explore the geometry of superconformal moduli of the NSR superstring theory in order to construct the consistent sigma-model for NSR strings, free of picture-changing complications. The sigma-model generating functional is constructed by the integration over the bosonic and fermionic moduli, corresponding to insertions of the vertex operators in scattering amplitudes. While the integration over the supermoduli leads to the standard picture-changing insertions, the integration over the bosonic moduli results in the appearance of picture-changing operators for the b-c fermionic ghosts with the ghost number -1. Important example of the b-c ghost pictures involves the vertex operators in integrated and unintegrated forms. We obtain the BRST-invariant expressions for the b-c picture-changing operators for open and closed strings and study some of their properties. We also show that the superconformal moduli spaces of the NSR theory contain the global singularities, leading to the phenomenon of ghost-matter mixing and the appearance of nonperturbative D-brane creation operators. © World Scientific Publishing Company.FRADKIN ES, 1985, NUCL PHYS B, V261, P1, DOI 10.1016-0550-3213(85)90559-0; FRIEDAN D, 1986, NUCL PHYS B, V271, P93; Gubser SS, 1998, PHYS LETT B, V428, P105, DOI 10.1016-S0370-2693(98)00377-3; KNIZHNIK VG, 1989, USP FIZ NAUK+, V159, P401, DOI 10.3367-UFNr.0159.198911a.0401; KOBA Z, 1969, NUCL PHYS B, VB 12, P517, DOI 10.1016-0550-3213(69)90071-6; Kogan II, 2003, INT J MOD PHYS A, V18, P1827, DOI 10.1142-S0217751X03013715; Maldacena J M, 1998, ADV THEOR MATH PHYS, V2, P231, DOI DOI 10.1023-A:1026654312961; OHTA N, 1986, PHYS REV D, V33, P1681, DOI 10.1103-PhysRevD.33.1681; OHTA N, 1986, PHYS LETT B, V179, P349; Polchinski J, 1995, PHYS REV LETT, V75, P4724, DOI 10.1103-PhysRevLett.75.4724; Polyakov D, 2002, PHYS REV D, V65, DOI 10.1103-PhysRevD.65.084041; VERLINDE E, 1987, PHYS LETT B, V192, P95, DOI 10.1016-0370-2693(87)91148-8; Witten E., 1998, ADV THEOR MATH PHYS, V2, P253, DOI DOI 10.1016-S0370-1573(99)00083-688

    Gauge Fields and Strings

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    Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory

    Coupling of pion condensate, chiral condensate, and Polyakov loop in an extended Nambu-Jona-Lasinio model

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    The Nambu-Jona-Lasinio model with a Polyakov loop is extended to the finite isospin chemical potential case, which is characterized by the simultaneous coupling of the pion condensate, chiral condensate, and Polyakov loop. The pion condensate, chiral condensate, and Polyakov loop as functions of temperature and isospin chemical potential are investigated by minimizing the thermodynamic potential of the system. The resulting (T,mu(I)) phase diagram is studied with emphasis on the critical point and Polyakov loop dynamics. The tricritical point for the pion superfluidity phase transition is confirmed, and the phase transition for isospin symmetry restoration in the high isospin chemical potential region perfectly coincides with the crossover phase transition for the Polyakov loop. These results agree with the lattice QCD data.Physics, NuclearSCI(E)0ARTICLE6null7
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