arXiv subjects

Zurab Kakushadze

Publications and source records attributed to Zurab Kakushadze.

At least 55 records · Page 3Linked to original sources

arXiv1999

A Remark on Brane Stabilization in Brane World

In this note we discuss dynamical mechanisms for brane stabilization in the brane world context. In particular, we consider supersymmetry preserving brane stabilization, and also brane stabilization accompanied by supersymmetry breaking. These mechanisms are realized in some four dimensional N=1 supersymmetric orientifold models. For illustrative purposes we consider two explicit orientifold models previously constructed in hep-th/9806008. In both of these models branes are stabilized at a finite distance from the orientifold planes. In the first model brane stabilization occurs via supersymmetry preserving non-perturbative gauge dynamics. In the second model supersymmetry is dynamically broken, and brane stabilization is due to an interplay between non-perturbatively generated superpotential and tree-level Kahler potential.

hep-th↗

arXiv1999

A Remark on Witten Effect for QCD Monopoles in Matrix Quantum Mechanics

In a recent work (hep-th/9905198) we argued that a certain matrix quantum mechanics may describe 't Hooft's monopoles which emerge in QCD when the theory is projected to its maximal Abelian subgroup. In this note we find further evidence which supports this interpretation. We study the theory with a non-zero theta-term. In this case, 't Hooft's QCD monopoles become dyons since they acquire electric charges due to the Witten effect. We calculate a potential between a dyon and an anti-dyon in the matrix quantum mechanics, and find that the attractive force between them grows as the theta angle increases.

hep-th↗

arXiv1999

BPS Domain Walls in Large N Supersymmetric QCD

We explicitly construct BPS domain walls interpolating between neighboring chirally asymmetric vacua in a model for large N pure supersymmetric QCD. The BPS equations for the corresponding ${\bf Z}_N$ symmetric order parameter effective Lagrangian reduce to those in the $A_N$ Landau-Ginsburg model assuming that the higher derivative terms in the K{ä}hler potential are suppressed in the large N limit. These BPS domain walls, which have vanishing width in the large N limit, can be viewed as supermembranes embedded in a (3+1)-dimensional supersymmetric QCD background. The supermembrane couples to a three-form supermultiplet whose components we identify with the composite fields of supersymmetric QCD. We also discuss certain aspects of chromoelectric flux tubes (open strings) ending on these walls which appear to support their interpretation as D-branes.

hep-th↗

arXiv1999

Higgs as a Slepton

In theories with TeV scale quantum gravity there is a logical possibility where the electroweak Higgs can be a fourth generation slepton. Despite maximal supersymmetry breaking such a scenario turns out to be tightly constrained, and might be testable already at present collider experiments. Also, a light Higgs is no longer a prediction of supersymmetry.

hep-ph↗

arXiv1999

Non-perturbative K3 Orientifolds with NS-NS B-flux

We consider non-perturbative six dimensional N=1 space-time supersymmetric orientifolds of Type IIB on K3 with non-trivial NS-NS B-flux. All of these models are non-perturbative in both orientifold and heterotic pictures. Thus, some states in such compactifications arise in ``twisted'' open string sectors which lack world-sheet description in terms of D-branes. We also discuss their dual F-theory compactifications on certain Voisin-Borcea orbifolds. In particular, the explicit construction of non-perturbative K3 orientifolds with NS-NS B-flux gives additional evidence for the conjectured extension of Nikulin's classification in the context of Voisin-Borcea orbifolds.

hep-th↗

arXiv1999

Type I on (Generalized) Voisin-Borcea Orbifolds and Non-perturbative Orientifolds

We consider non-perturbative four dimensional N=1 space-time supersymmetric orientifolds corresponding to Type I compactifications on (generalized) Voisin-Borcea orbifolds. Some states in such compactifications arise in ``twisted'' open string sectors which lack world-sheet description in terms of D-branes. Using Type I-heterotic duality as well as the map between Type IIB orientifolds and F-theory we are able to obtain the massless spectra of such orientifolds. The four dimensional compactifications we discuss in this context are examples of chiral N=1 supersymmetric string vacua which are non-perturbative from both orientifold and heterotic points of view. In particular, they contain both D9- and D5-branes as well as non-perturbative ``twisted'' open string sector states. We also explain the origins of various inconsistencies arising in such compactifications for certain choices of the gauge bundle.

hep-th↗

arXiv1999

Non-perturbative Orientifolds

We consider non-perturbative six and four dimensional N=1 space-time supersymmetric orientifolds. Some states in such compactifications arise in ``twisted'' open string sectors which lack world-sheet description in terms of D-branes. Using Type I-heterotic duality we are able to obtain the massless spectra for some of such orientifolds. The four dimensional compactification we discuss in this context is an example of a chiral N=1 supersymmetric string vacuum which is non-perturbative in both orientifold and heterotic pictures. In particular, it contains both D9- and D5-branes plus non-perturbative ``twisted'' open string sector states as well.

hep-th↗

arXiv1999

Flavor ``Conservation'' and Hierarchy in TeV-scale Supersymmetric Standard Model

Recently a TeV-scale Supersymmetric Standard Model (TSSM) was proposed in which the gauge coupling unification is as precise (at one loop) as in the MSSM, and occurs in the TeV range. Proton stability in the TSSM is due to an anomaly free Z_3 X Z_3 discrete gauge symmetry, which is also essential for successfully generating neutrino masses in the desirable range. In this paper we show that the TSSM admits anomaly free non-Abelian discrete flavor gauge symmetries (based on a left-right product tetrahedral group) which together with a ``vector-like'' Abelian (discrete) flavor gauge symmetry suppresses dangerous higher dimensional operators corresponding to flavor changing neutral currents (FCNCs) to an acceptable level. Discrete flavor gauge symmetries are more advantageous compared with continuous flavor gauge symmetries as the latter must be broken, which generically results in unacceptably large gauge mediated flavor violation. In contrast, in the case of discrete flavor gauge symmetries the only possibly dangerous sources of flavor violation either come from the corresponding ``bulk'' flavon (that is, flavor symmetry breaking Higgs) exchanges, or are induced by flavon VEVs. These sources of flavor violation, however, are adequately suppressed by the above flavor gauge symmetries for the string scale \sim 10-100 TeV

hep-th↗

arXiv1999

TeV-scale Supersymmetric Standard Model and Brane World

Recently we proposed a TeV-scale Supersymmetric Standard Model in which the gauge coupling unification is as precise (at one loop) as in the MSSM, and occurs in the TeV range. One of the key ingredients of this model is the presence of new states neutral under $SU(3)_c\otimes SU(2)_w$ but charged under $U(1)_Y$ whose mass scale is around that of the electroweak Higgs doublets. In this paper we show that introduction of these states allows to gauge novel anomaly free discrete (as well as continuous) symmetries (similar to ``lepton'' and ``baryon'' numbers) which suppress dangerous higher dimensional operators and stabilize proton. Moreover, we argue that these gauge symmetries are essential for successfully generating small neutrino masses via a recently proposed higher dimensional mechanism. Furthermore, the mass hierarchy between the up and down quarks (e.g., $t$ vs. $b$) can be explained without appealing to large $\tanβ$, and the $μ$-term for the electroweak Higgs doublets (as well as for the new states) can be generated. We also discuss various phenomenological implications of our model which lead to predictions testable in the present or near future collider experiments. In particular, we point out that signatures of scenarios with high vs. low unification (string) scale might be rather different. This suggest a possibility that the collider experiments may distinguish between these scenarios even without a direct production of heavy Kaluza-Klein or string states.

hep-th↗

arXiv1998

Novel Extension of MSSM and ``TeV Scale'' Coupling Unification

Motivated by the coupling unification problem, we propose a novel extension of the Minimal Supersymmetric Standard Model. One of the predictions of this extension is existence of new states neutral under SU(3)_c X SU(2)_w but charged under U(1)_Y. The mass scale for these new states can be around the mass scale of the electroweak Higgs doublets. This suggests a possibility of their detection in the present or near future collider experiments. Unification of gauge couplings in this extension is as precise (at one loop) as in the MSSM, and can occur in the TeV range.

hep-th↗

arXiv1998

Brane World

In string theory, the brane world scenario, where the Standard Model gauge and matter fields live inside some branes while gravitons live in the bulk, can be a viable description of our universe. In this note we argue that the brane world actually is a likely description of nature. Our discussion includes a revisit of certain issues, namely, coupling unification, dilaton stabilization and supersymmetry breaking, in the context of the brane world scenario. In particular, we discuss various possible string scenarios and their phenomenological implications in the brane world framework.

hep-th↗

arXiv1998

Large N Domain Walls as D-branes for ${\cal N}=1$ QCD String

We consider a model which in a certain limit reduces to the large N ${\cal N}=1$ supersymmetric SU(N) gauge theory without matter. The gaugino condensate in this model is controlled by the dynamics of an additional singlet superfield. Using this model we explicitly construct BPS domain walls arising due to the chiral symmetry breaking. In particular, in the large N limit we obtain the exact shapes of the domain walls corresponding to solitons, and also of the domain walls interpreted as D-branes on which the SQCD string can end, whose existence was previously argued by Witten in the context of the large N SQCD. We also discuss various points which appear to support the consistency of the D-brane interpretation for these domain walls within the SQCD string context.

hep-th↗

arXiv1998

Large N Gauge Theories from Orientifolds with NS-NS B-flux

We consider D-branes and orientifold planes embedded in non-compact (orbifolded) space-time. We point out that even in the non-compact cases we can turn on non-zero (quantized) NS-NS antisymmetric B-field. In particular, we study the effect of the B-field on four dimensional large N gauge theories from orientifolds. Thus, in theories with both D3- and D7-branes, the effect of the B-field is non-trivial: the number of D7-branes (of each species) is reduced from 8 (which is the required number if the B-field is trivial) to 4. This results in a different orientifold string theory, and, subsequently, the corresponding large N gauge theory is also different. We explicitly construct large N gauge theories from orientifolds with non-zero B-field backgrounds with ${\cal N}=2,1,0$ supersymmetries. These theories, just as their counterparts without the B-field, have the property that in the large N limit computation of any M-point correlation function reduces to the corresponding computation in the parent ${\cal N}=4$ supersymmetric theory with a unitary gauge group.

hep-th↗

arXiv1998

Anomaly Free Non-Supersymmetric Large $N$ Gauge Theories from Orientifolds

We construct anomaly free non-supersymmetric large N gauge theories from orientifolds of Type IIB on C^3/G orbifolds. In particular, massless as well as tachyonic one-loop tadpoles are cancelled in these models. This is achieved by starting with ${\cal N}=1,2$ supersymmetric orientifolds with well defined world-sheet description and including discrete torsion (which breaks supersymmetry) in the orbifold action. In this way we obtain non-trivial non-chiral as well as anomaly free chiral large N gauge theories. We point out certain subtleties arising in the chiral cases. Subject to certain assumptions, these theories are shown to have the property that computation of any M-point correlation function in these theories reduces to the corresponding computation in the parent ${\cal N}=4$ oriented theory. This generalizes the analogous results recently obtained in supersymmetric large N gauge theories from orientifolds, as well as in (non)supersymmetric large N gauge theories without orientifold planes.

hep-th↗

arXiv1998

Three Generations in Type I Compactifications

Generalizing the recent work on three-family Type I compactifications, we classify perturbative Type I vacua obtained via compactifying on the T^6/Z_2 X Z_2 X Z_3 orbifold with all possible Wilson lines. In particular, we concentrate on models with gauge groups containing the Standard Model gauge group SU(3)_c X SU(2)_w X U(1)_Y as a subgroup. All of the vacua we obtain contain D5-branes and are non-perturbative from the heterotic viewpoint. The models we discuss have three-chiral families. We study some of their phenomenological properties, and point out non-trivial problems arising in these models in the phenomenological context.

hep-th↗

arXiv1998

Type IIB Orientifolds with NS-NS Antisymmetric Tensor Backgrounds

We consider six dimensional N=1 space-time supersymmetric Type IIB orientifolds with non-zero untwisted NS-NS sector B-field. The B-field is quantized due to the requirement that the Type IIB spectrum be left-right symmetric. The presence of the B-field results in rank reduction of both 99 and 55 open string sector gauge groups. We point out that in some of the models with non-zero B-field there are extra tensor multiplets in the Z_2 twisted closed string sector, and we explain their origin in a simple example. Also, the 59 open string sector states come with a multiplicity that depends on the B-field. These two facts are in accord with anomaly cancellation requirements. We point out relations between various orientifolds with and without the B-field, and also discuss the F-theory duals of these models.

hep-th↗

arXiv1998

On Four Dimensional N=1 Type I Compactifications

We consider four dimensional N=1 supersymmetric Type I compactifications on toroidal orbifolds T^6/G. In particular, we focus on the Type I vacua which are perturbative from the orientifold viewpoint, that is, on the compactifications with well defined world-sheet expansion. The number of such models is rather constrained. This allows us to study all such vacua. This, in particular, involves considering compactifications with non-trivial NS-NS antisymmetric tensor backgrounds. We derive massless spectra for these models, and also compute superpotentials. We review the reasons responsible for such a limited number of perturbative Type I compactifications on toroidal orbifolds (which include Abelian as well as non-Abelian cases). As an aside, we generalized the recent work on large N gauge theories from orientifolds to include a non-Abelian orbifold. This also provides an important independent check for perturbative consistency of the corresponding Type I compactification.

hep-th↗

arXiv1998

On Large N Gauge Theories from Orientifolds

We consider four dimensional ${\cal N}=1$ supersymmetric gauge theories obtained via orientifolds of Type IIB on Abelian C^3/G orbifolds. We construct all such theories that have well defined world-sheet expansion. The number of such orientifolds is rather limited. We explain this fact in the context of recent developments in four dimensional Type IIB orientifolds. In particular, we elaborate these issues in some examples of theories where world-sheet description is inadequate due to non-perturbative (from the orientifold viewpoint) states arising from D-branes wrapping (collapsed) 2-cycles in the orbifold. We find complete agreement with the corresponding statements recently discussed in the context of Type I compactifications on toroidal orbifolds. This provides a non-trivial check for correctness of the corresponding conclusions. We also find non-trivial agreement with various field theory expectations, and point out their origin in string language. The orientifold gauge theories that do possess well defined world-sheet description have the property that in the large N limit computation of any M-point correlation function in these theories reduces to the corresponding computation in the parent ${\cal N}=4$ oriented theory.

hep-th↗