Results 1  10
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161
Dynamical SUSY Breaking in MetaStable Vacua
, 2006
"... Dynamical supersymmetry breaking in a longlived metastable vacuum is a phenomenologically viable possibility. This relatively unexplored avenue leads to many new models of dynamical supersymmetry breaking. Here, we present a surprisingly simple class of models with metastable dynamical supersymme ..."
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Cited by 136 (13 self)
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Dynamical supersymmetry breaking in a longlived metastable vacuum is a phenomenologically viable possibility. This relatively unexplored avenue leads to many new models of dynamical supersymmetry breaking. Here, we present a surprisingly simple class of models with metastable dynamical supersymmetry breaking: N = 1 supersymmetric QCD, with massive flavors. Though these theories are strongly coupled, we definitively demonstrate the existence of metastable vacua by using the freemagnetic dual. Model building challenges, such as large flavor symmetries and the absence of an Rsymmetry, are easily accommodated in these theories. Their simplicity also suggests that broken supersymmetry is generic in supersymmetric field theory and in the landscape of string vacua.
Large N BPS states and emergent quantum gravity
, 2006
"... This paper provides a heuristic derivation of how classical gravitational physics in the AdS/CFT correspondence appears from the strong dynamics of the N = 4 SYM theory in a systematic way. We do this in a minisuperspace approximation by studying 1/8 BPS configurations. We can show that our descri ..."
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Cited by 97 (14 self)
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This paper provides a heuristic derivation of how classical gravitational physics in the AdS/CFT correspondence appears from the strong dynamics of the N = 4 SYM theory in a systematic way. We do this in a minisuperspace approximation by studying 1/8 BPS configurations. We can show that our description matches the semiclassical physics of 1/8 BPS states in supergravity. We also provide a heuristic description of how massive strings appear in the geometry, and how at strong ’t Hooft coupling they become local on the S 5 suggesting that they can be realized as a sigma model on a weakly curved background. We show that the dynamics of 1/8 BPS dynamics of N = 4 SYM on a round S 3 can be reduced to that of a matrix model for commuting matrices. Including measure factors, we show that this effective dynamics is related to bosons living on a six dimensional phase space with repulsive interactions. Because of these interactions, we can argue that on the ground state the bosons assemble themselves on a spherical shell in the shape of a round five sphere. This sphere will be identified with the S 5 in the AdS dual geometry. To do this, we first define a precise way to coarse grain the dynamics. We use half BPS configurations as a toy model for this coarse graining, and we can reproduce the droplet
Supersymmetry breaking from a CalabiYau singularity
, 2005
"... We conjecture a geometric criterion for determining whether supersymmetry is spontaneously broken in certain string backgrounds. These backgrounds contain wrapped branes at CalabiYau singularites with obstructions to deformation of the complex structure. We motivate our conjecture with a particular ..."
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Cited by 70 (4 self)
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We conjecture a geometric criterion for determining whether supersymmetry is spontaneously broken in certain string backgrounds. These backgrounds contain wrapped branes at CalabiYau singularites with obstructions to deformation of the complex structure. We motivate our conjecture with a particular example: the Y 2,1 quiver gauge theory corresponding to a cone over the first del Pezzo surface, dP1. This setup can be analyzed using ordinary supersymmetric field theory methods, where we find that gaugino condensation drives a deformation of the chiral ring which has no solutions. We expect this breaking to be a general feature of any theory of branes at a singularity with a smaller number of possible deformations than independent anomalyfree fractional branes.
Adding fundamental matter to ’Chiral rings and anomalies in supersymmetric gauge theory
 JHEP
, 2003
"... We consider a supersymmetric U(N) gauge theory with matter fields in the adjoint, fundamental and antifundamental representations. As in the framework which was put forward by Dijkgraaf and Vafa, this theory can be described by a matrix model. We analyze this theory along the lines of [F. Cachazo, ..."
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Cited by 53 (2 self)
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We consider a supersymmetric U(N) gauge theory with matter fields in the adjoint, fundamental and antifundamental representations. As in the framework which was put forward by Dijkgraaf and Vafa, this theory can be described by a matrix model. We analyze this theory along the lines of [F. Cachazo, M. Douglas, N.S. and E. Witten, “Chiral Rings and Anomalies in Supersymmetric Gauge Theory ” hepth/0211170] and show the equivalence of the gauge theory and the matrix model. In particular, the anomaly equations in the gauge theory is identified with the loop equations in the matrix model. December
Worldsheet stability of (0,2) linear sigma models,” Phys. Rev. D68
, 2003
"... We argue that twodimensional (0,2) gauged linear sigma models are not destabilized by instanton generated worldsheet superpotentials. We construct several examples where we show this to be true. The general proof is based on the Konishi anomaly for (0,2) theories. 1 ..."
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Cited by 43 (5 self)
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We argue that twodimensional (0,2) gauged linear sigma models are not destabilized by instanton generated worldsheet superpotentials. We construct several examples where we show this to be true. The general proof is based on the Konishi anomaly for (0,2) theories. 1
Chiral rings and phases of supersymmetric gauge theories,” JHEP 0304
, 2003
"... We solve for the expectation values of chiral operators in supersymmetric U(N) gauge theories with matter in the adjoint, fundamental and antifundamental representations. A simple geometric picture emerges involving a description by a meromorphic oneform on a Riemann surface. The equations of moti ..."
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Cited by 35 (2 self)
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We solve for the expectation values of chiral operators in supersymmetric U(N) gauge theories with matter in the adjoint, fundamental and antifundamental representations. A simple geometric picture emerges involving a description by a meromorphic oneform on a Riemann surface. The equations of motion are equivalent to a condition on the integrality of periods of this form. The solution indicates that all semiclassical phases with the same number of U(1) factors are continuously connected. March
Chiral Rings, Superpotentials and the Vacuum Structure of N = 1 Supersymmetric Gauge Theories
, 2003
"... We use the Konishi anomaly equations to construct the exact effective superpotential of the glueball superfields in various N = 1 supersymmetric gauge theories. We use the superpotentials to study in detail the structure of the spaces of vacua of these theories. We consider chiral and nonchiral SU( ..."
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Cited by 27 (4 self)
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We use the Konishi anomaly equations to construct the exact effective superpotential of the glueball superfields in various N = 1 supersymmetric gauge theories. We use the superpotentials to study in detail the structure of the spaces of vacua of these theories. We consider chiral and nonchiral SU(N) models, the exceptional gauge group G2 and
Constructing gauge theory geometries from matrix models
 JHEP
, 2003
"... We use the matrix model — gauge theory correspondence of Dijkgraaf and Vafa in order to construct the geometry encoding the exact gaugino condensate superpotential for the N = 1 U(N) gauge theory with adjoint and symmetric or antisymmetric matter, broken by a tree level superpotential to a produc ..."
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Cited by 22 (7 self)
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We use the matrix model — gauge theory correspondence of Dijkgraaf and Vafa in order to construct the geometry encoding the exact gaugino condensate superpotential for the N = 1 U(N) gauge theory with adjoint and symmetric or antisymmetric matter, broken by a tree level superpotential to a product subgroup involving U(Ni) and SO(Ni) or Sp ( Ni) factors. The relevant geometry is encoded by a nonhyperelliptic 2 Riemann surface, which we extract from the exact loop equations. We also show that O(1/N) corrections can be extracted from a logarithmic deformation of this surface. The loop equations contain explicitly subleading terms of order 1/N, which encode information of string theory on an orientifolded local quiver geometry.
Gravity induced Cdeformation
 Adv. Theor. Math. Phys
"... We study Fterms describing coupling of the supergravity to N = 1 supersymmetric gauge theories which admit large N expansions. We show that these Fterms are given by summing over genus one nonplanar diagrams of the large N expansion of the associated matrix model (or more generally bosonic gauge ..."
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Cited by 22 (0 self)
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We study Fterms describing coupling of the supergravity to N = 1 supersymmetric gauge theories which admit large N expansions. We show that these Fterms are given by summing over genus one nonplanar diagrams of the large N expansion of the associated matrix model (or more generally bosonic gauge theory). The key ingredient in this derivation is the observation that the chiral ring of the gluino fields is deformed by the supergravity fields, generalizing the Cdeformation which was recently introduced. The gravity induced part of the Cdeformation can be derived from the Bianchi identities of the supergravity, but understanding gravitational corrections to the Fterms requires a nontraditional interpretation of these identities. 1
RG fixed points and flows in SQCD with adjoints
 Nucl. Phys. B
, 2004
"... We map out and explore the zoo of possible 4d N = 1 superconformal theories which are obtained as RG fixed points of N = 1 SQCD with Nf fundamental and Na adjoint matter representations. Using “amaximization, ” we obtain exact operator dimensions at all RG fixed points and classify all relevant, La ..."
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Cited by 21 (4 self)
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We map out and explore the zoo of possible 4d N = 1 superconformal theories which are obtained as RG fixed points of N = 1 SQCD with Nf fundamental and Na adjoint matter representations. Using “amaximization, ” we obtain exact operator dimensions at all RG fixed points and classify all relevant, LandauGinzburg type, adjoint superpotential deformations. Such deformations can be used to RG flow to new SCFTs, which are then similarly analyzed. Remarkably, the resulting 4d SCFT classification coincides with Arnold’s ADE singularity classification. The exact superconformal Rcharge and the central charge a are computed for all of these theories. RG flows between the different fixed points are analyzed, and all flows are verified to be compatible with the conjectured atheorem. September