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December 1999 PARLPTHE 99/46 MASS HIERARCHIES AND MIXING ANGLES
, 1999
"... Abstract: The misalignment of strong interactions with spontaneously broken electroweak interactions can produce mixingangledependent mass hierarchies for asymptotic states. A framework of computation of the two types of parameters is presented. PACS: 11.15.Ex 11.30.Hv 12.60.Fr 12.15.Hh 1 Electrow ..."
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Abstract: The misalignment of strong interactions with spontaneously broken electroweak interactions can produce mixingangledependent mass hierarchies for asymptotic states. A framework of computation of the two types of parameters is presented. PACS: 11.15.Ex 11.30.Hv 12.60.Fr 12.15.Hh 1 Electroweak symmetry breaking: a trigger for mass hierarchies The origin of mass hierarchies still appears as an unsolved problem of today’s particle physics, and equally puzzling is the one of mixing angles [1]. I uncover, in a precise framework, a connection between the two, and show that they can be determined as solutions of a system of equations minimizing, in a sense to be specified, the scalar potential of a spontaneously broken electroweak gauge theory misaligned with flavour independent strong interactions 1. It relies on the reasonable hypothesis that strong interactions, supposed to be flavour independent, are the ones which tend to determine asymptotic states for mesons, the latter being usually fitted into representations of flavour U(N) (N/2 is the number of generations). It restricts to particles undergoing two types of “competing ” interactions and thus excludes leptons unless they undergo a still undetected hyperweak interaction. The first remark is that electroweak symmetry breaking introduces a drastic mass hierarchy between the three
PAR–LPTHE02/05 Dinstantons on orbifolds and gauge/gravity correspondence
, 2002
"... Abstract: Dinstantons are used to probe the nearhorizon geometry of D3branes systems on orbifold spaces. For fractional D3branes, Dinstanton calculus correctly reproduces the gauge βfunction and U(1)R anomaly of the corresponding N = 2 nonconformal Super YangMills theories. For D3branes wra ..."
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Abstract: Dinstantons are used to probe the nearhorizon geometry of D3branes systems on orbifold spaces. For fractional D3branes, Dinstanton calculus correctly reproduces the gauge βfunction and U(1)R anomaly of the corresponding N = 2 nonconformal Super YangMills theories. For D3branes wrapping the orbifold singularity, Dinstantons can be identified with gauge instantons on ALE space, providing evidence of AdS/CFT duality for gauge theories on curved spaces. The duality between N = 4 Super Yang–Mills theory (SYM) in four dimensions and type IIB string theory compactified on AdS5×S 5 [1] has provided a first concrete example of how a string theory can be extracted from a gauge theory. A remarkable result is that the multi–instanton moduli space of SU(N) N = 4 SYM reproduces in the large N limit the ten dimensional nearhorizon AdS5×S 5 geometry of the dual type IIB supergravity [2]. This allows to establish a careful correspondence between instanton dominated correlators in gauge theory and Dinstanton corrections to the supergravity action, thus providing a non trivial check of the AdS/CFT duality. More recently, many interesting generalizations of this duality to more realistic nonconformal
PAR–LPTHE 95–04 On The Symmetries Of Topological Quantum Field Theories
, 1995
"... Abstract We display properties of the general formalism which associates to any given gauge symmetry a topological action and a system of topological BRST and antiBRST equations. We emphasize the distinction between the antighosts of the geometrical BRST equations and the antighosts occuring in fie ..."
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Abstract We display properties of the general formalism which associates to any given gauge symmetry a topological action and a system of topological BRST and antiBRST equations. We emphasize the distinction between the antighosts of the geometrical BRST equations and the antighosts occuring in field theory. We propose a transmutation mechanism between these objects. We illustrate our general presentation by examples.
DAMTP/9650, PAR–LPTHE 96–15 SUPERSTRINGS FROM THEORIES
, 1996
"... Abstract String theories with (N,N ′) local worldsheet supersymmetries are related to each other by marginal deformations. This connects N = 1 and N = 0 theories in which the targetspaces are interpreted as spacetimes, N = 2 theories in which the target spaces can be interpreted as worldvolumes, ..."
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Abstract String theories with (N,N ′) local worldsheet supersymmetries are related to each other by marginal deformations. This connects N = 1 and N = 0 theories in which the targetspaces are interpreted as spacetimes, N = 2 theories in which the target spaces can be interpreted as worldvolumes, and theories with N ≥ 3, in which the central charge vanishes – theories in which there are no target spaces.
PAR LPTHE 92/32; hep − th/9209047 EXACT STRING SOLUTIONS IN
, 1993
"... Exact and explicit string solutions in de Sitter spacetime are found. (Here, the string equations reduce to a sinhGordon model). A new feature without flat spacetime analogy appears: starting with a single worldsheet, several (here two) strings emerge. One string is stable and the other (unstable) ..."
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Exact and explicit string solutions in de Sitter spacetime are found. (Here, the string equations reduce to a sinhGordon model). A new feature without flat spacetime analogy appears: starting with a single worldsheet, several (here two) strings emerge. One string is stable and the other (unstable) grows as the universe grows. Their invariant size and energy either grow as the expansion factor or tend to constant. Moreover, strings can expand (contract) for large (small) universe radius with a different rate than the universe. 2 String propagation in curved spacetimes reveals new insights for string theory. The string behaviour in strong gravitational fields and in the vicinity of spacetime singularities is especially interesting. In gravitational shockwaves and singular plane wave spacetimes the string equations are exactly (and explicitly) solvable even at the spacetime singularities uncovering a rich variety of physical phenomena[1]. The classical string propagation in Ddimensional de Sitter spacetime is an integrable model as it has been explicitly shown in ref.[3] where, in addition, all the 1+1 dimensional string solutions were given. It is clearly an appealing challenge
Local heterotic geometry in holomorphic coordinates”, PAR/LPTHE/9356, hepth/9401003. 36
, 1979
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The Couplings of the Pion to Two Gauge Fields and to Leptons in a Dynamically Broken Gauge Theory”, preprint PARLPTHE 93/35
, 1993
"... Abstract: we show how a spontaneously broken gauge theory of fermions endowed with a composite scalar multiplet becomes naturally anomalyfree, and yet describes the correct couplings of the pion to two gauge fields and to leptons: the first coupling is the same as computed from the chiral anomaly, ..."
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Abstract: we show how a spontaneously broken gauge theory of fermions endowed with a composite scalar multiplet becomes naturally anomalyfree, and yet describes the correct couplings of the pion to two gauge fields and to leptons: the first coupling is the same as computed from the chiral anomaly, and the second identical with that obtained from the ‘Partially Conserved Axial Current ’ hypothesis. For the sake of simplicity, we only study here the abelian case. PACS:
PARLPTHE 98/20 A Renormalization Group Study of Asymetrically Coupled Minimal Models
, 1998
"... We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energyenergy couplings. We take the general approach where the bare couplings are all taken to be independent. New fixed points are found for N models (N ≥ 3 ..."
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We investigate the renormalization group flows and fixed point structure of many coupled minimal models. The models are coupled two by two by energyenergy couplings. We take the general approach where the bare couplings are all taken to be independent. New fixed points are found for N models (N ≥ 3). At these fixed points, the coupling constants all have the same magnitude, but some are positive while others are negative. By analogy with spin lattices, these can be interpreted as nonfrustrated configurations with a maximal number of antiferromagnetic links. The stability of the different fixed points is studied. We compute the critical exponents and spinspin correlation functions between different models. Our classification is shown to be complete.
PAR–LPTHE 95–56 BV QUANTIZATION IN 2D GRAVITY AND NEW CONFORMAL FIELDS
, 1995
"... Abstract We investigate the properties of 2 − D gravity in the Batalin and Vilkovisky quantization scheme. We find a factorized structure which exhibits duality properties analogous to those existing in the topological theories of forms. New conformal field are introduced with their invariant action ..."
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Abstract We investigate the properties of 2 − D gravity in the Batalin and Vilkovisky quantization scheme. We find a factorized structure which exhibits duality properties analogous to those existing in the topological theories of forms. New conformal field are introduced with their invariant action.
Results 1  10
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35