The field theory of non-supersymmetric brane configurations

Evans, Nick; Schwetz, Myckola

doi:10.1016/s0550-3213(98)00110-2

Cited by 13 publications

(11 citation statements)

References 47 publications

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“…It does not influence the effective U(1) gauge coupling, but neither are Higgs moduli, at least as long as the N = 2 supersymmetry is unbroken [55]. In subsection 4.5, where we considered µ L = 0 = µ R , we observed a detachment of S M for N L = N R , again, exactly where one expects the root of the Higgs branch (compare with subsection 2.2.2) 39 .…”

Section: The Frozen U (1) Factorsmentioning

confidence: 55%

M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory

Giveon

Pelc

1998

Nuclear Physics B

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SU (N L ) ⊗ SU (N R ) gauge theories are investigated as effective field theories on D 4 branes in type IIA string theory. The classical gauge configuration is shown to match quantitatively with a corresponding classical U (N L ) ⊗ U (N R ) gauge theory. Quantum effects freeze the U (1) gauge factors and turn some parameters into moduli. The SU (N L ) ⊗ SU (N R ) quantum model is realized in M theory. Starting with an N = 2 configuration (parallel N S fivebranes), the rotation of a single N S fivebrane is considered. Generically this leads to a complete lifting of the Coulomb moduli space. The implications of this result to field theory and the dynamics of branes are discussed. When the initial M fivebrane is reducible, part of the Coulomb branch may survive. Some such situations are considered, leading to curves describing the effective gauge couplings for N = 1 models. The generalization to models with more gauge group factors is also discussed.

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Section: The Frozen U (1) Factorsmentioning

confidence: 55%

M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory

Giveon

Pelc

1998

Nuclear Physics B

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“…In particular, using selection rules provided by the symmetries, we present 1 evidence for a non-trivial structure of the spectral flow with respect to the microscopic theta parameter, θ, with the associated phase transitions as suggested by 't Hooft in the field theory context [12]. Reviews of the relevant facts regarding the so-called "theta puzzle", and its connection with the Veneziano-Witten formula, can be found in [13], [14].For related discussions of non-supersymmetric brane configurations, see [9,15,16].In the non-supersymmetric case, the criterion of perturbative stability of the fivebrane background becomes simply the extremality with respect to local deformations of the embedding. Namely, for a given set of asymptotic boundary conditions, the fivebrane world-volume is embedded in eleven-dimensional space as M 4 × Σ, where now Σ is a two-dimensional surface of "minimal area".…”

mentioning

confidence: 79%

Softly broken MQCD and the theta angle

Barbón

Pasquinucci

1998

Physics Letters B

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We consider a family of non-supersymmetric MQCD five-brane configurations introduced by Witten, and discuss the dependence of the curves on the microscopic theta angle and its relation with CP. We find evidence for a non-trivial spectral flow of the curves (vacua) and for the level-crossing of adjacent curves at a particular value of the theta angle, with spontaneous breaking of CP symmetry, providing an MQCD analogue of the phase transitions in theta proposed by 't Hooft. November 1997The modelling of gauge dynamics via brane configurations of weakly coupled string theory [1,2,3,4], or M-theory [5,6,7,8,9], provides a geometrical interpretation of various field theoretical strong coupling phenomena. In some cases, the geometrical viewpoint can be used to discover new exact solutions [5] of N = 2 theories. In the context of N = 1 theories, it provides a semiclassical approach to such thorny problems as confinement and chiral symmetry breaking [6,7]. These constructions are similar in spirit to previous work on geometric engineering of gauge theories (see for example [10]). Here the role of a nontrivial string compactification is played by some complicated brane configuration sitting in flat space at small string coupling, and carefully adjusted to provide a weakly coupled supersymmetric Yang-Mills theory at intermediate scales. Since the gauge theory lives on the branes world-volume, one can relate many classical and semiclassical features of gauge theories to some properties of brane dynamics. The real power of the method arises when taking the strong coupling limit of the brane configuration. If a strong coupling dual is available, one can describe many non-perturbative, infrared properties of the gauge theory, just by reading the tree-level data of the dual brane configuration.In four-dimensional models one uses the duality between type IIA strings and Mtheory [5]. Here one maps the type IIA brane configuration to a single smooth five-brane, whose world-volume is appropriately embedded in the flat eleven-dimensional background, as a product M 4 × Σ, with M 4 the four-dimensional Minkowski space, and Σ a holomorphic curve with respect to a given complex structure of the background. In general, the detailed physics of the resulting M-theory model differs from the Yang-Mills theory we are interested in; however, to the extent that some observables are protected by supersymmetry, we can calculate them in the deformed strong coupling model. This is the case, for example, of all holomorphic quantities determined by the Seiberg-Witten curve in N = 2 models [5], including BPS spectra [11]. For N = 1 models the agreement is only qualitative in principle, but some observables can be accurately matched, like superpotentials and gaugino condensates [6,8].In the absence of some unbroken supersymmetry on the world-volume, we cannot use holomorphy to accurately match observables, and a working assumption must be made that no phase transitions occur in the way to strong coupling. Still, qualitative features based o...

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“…There are also the rotation of the two NS 5-branes with respect to each other as was discussed in [22]. SO 5 .…”

Section: D4mentioning

confidence: 96%

“…Rotating the 6-brane in directions 67, 68, or 69 corresponds to a real FI D and complex F φ -term. The number of parameters is equal to the number of rotations of a line in four dimensions: SO(4)/SO(3) as is explained in [22]. One can also rotate the D6-brane in 789…”

Section: D4mentioning

confidence: 99%

String Mediated Supersymmetry Breaking

Brodie¹

2001

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We consider the 3+1 visible sector to live on a Hanany-Witten D-brane construction in type IIA string theory. The messenger sector consists of stretched strings from the visible brane to a hidden D6-brane in the extra spatial dimensions. In the open string channel supersymmetry is broken by gauge mediation while in the closed string channel supersymmetry is broken by gravity mediation. Hence, we call this kind of mediation "string mediation". We propose an extension of the Dimopoulos-Georgi theorem to brane models: only detached probe branes can break supersymmetry without generating a tachyon. Fermion masses are generated at one loop if the branes break a sufficient amount of the ten dimensional Lorentz group while scalar potentials are generated if there is a force between the visible brane and the hidden brane. Scalars can be lifted at two loops through a combination of brane bending and brane forces. We find a large class of stable nonsupersymmetric brane configurations of ten dimensinoal string theory.

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The field theory of non-supersymmetric brane configurations

Cited by 13 publications

References 47 publications

M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory

M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory

Softly broken MQCD and the theta angle

String Mediated Supersymmetry Breaking

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