On the quantum moduli space of M-theory compactifications

Friedmann, Tamar

doi:10.1016/s0550-3213(02)00408-x

Cited by 38 publications

(82 citation statements)

References 5 publications

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“…In this approach it is customary to keep the potential W fixed and consider just the dependence on S; however, we could equivalently fix the value of S = S c and look at the critical behaviour as a function of the coupling constants in W . 9 Adopting the first point of view, both S c and the integer m depend on W . In the saddle point method, the critical behaviour .…”

Section: Orthogonal Polynomialsmentioning

confidence: 99%

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Double scaling limits in gauge theories and matrix models

Bertoldi¹,

Hollowood²,

Miramontes³

2006

J. High Energy Phys.

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Abstract:We show that N = 1 gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where N is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that the theory is near an Argyres-Douglas-type singularity where a set of non-local dibaryons becomes massless in conjunction with a set of confining strings becoming tensionless. The doubly-scaled theory consists of two decoupled sectors, one whose spectrum and interactions follow the usual large-N scaling whilst the other has light states of fixed mass in the large-N limit which subvert the usual large-N scaling and lead to an interacting theory in the limit. F -term properties of this interacting sector can be calculated using a Dijkgraaf-Vafa matrix model and in this context the doublescaling limit is precisely the kind investigated in the "old matrix model" to describe two-dimensional gravity coupled to c < 1 conformal field theories. In particular, the old matrix model double-scaling limit describes a sector of a gauge theory with a mass gap and light meson-like composite states, the approximate Goldstone boson of superconformal invariance, with a mass which is fixed in the double-scaling limit. Consequently, the gravitational F -terms in these cases satisfy the string equation of the KdV hierarchy.

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Section: Orthogonal Polynomialsmentioning

confidence: 99%

“…The F g (S) are the gauge theory objects: functions of the s glueball superfields {S i }. Note that the g = 0 term of Γ 1 is the ordinary glueball superpotential: 9) which determines the vacua of the theory. 4 In the usual large-N limit, the contribution from a genus g graph is suppressed by N 2−2g .…”

Section: Introductionmentioning

confidence: 99%

Double scaling limits in gauge theories and matrix models

Bertoldi¹,

Hollowood²,

Miramontes³

2006

J. High Energy Phys.

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“…Here D N is the binary dihedral group acting on R 4 while Z q is a cyclic group acting on the three-sphere. Moduli spaces of such compactifications were studied in detail in [33] and [34]. As a result, we obtain an SO(2N ) codimension four singularity whose three-dimensional locus Q = S 3 /Z q is a lens space.…”

Section: Threshold Correctionsmentioning

confidence: 98%

“…Consider a G 2 manifold which in some local neighborhood topologically looks like a product R 4 /Z p × S 3 /(Z q × Z r ) [33]. In this case we obtain an SU (p) supersymmetric gauge theory supported along a three-cycle Q = S 3 /(Z q × Z r ) where π 1 (Q) = Z q × Z r .…”

Section: B Fine Tuningmentioning

confidence: 99%

“…Since the three-cycle is rigid b 1 (Q) = b 2 (Q) = 0 it may potentially generate non-perturbative contributions in a form of multiple gaugino condensates when the SU (p) gauge group is broken to a product subgroup by discrete Wilson lines. For this sector of the theory, the total number of inequivalent discrete Wilson line configurations, where p, q, r are relatively prime, is given by [33] …”

Section: B Fine Tuningmentioning

confidence: 99%

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Scanning the Fluxless G_2 Landscape

Bobkov¹

2009

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We show that there exists an exponentially large discretuum of vacua in G 2 -compactifications of M-theory without flux. In M-theory-inspired G 2 -MSSM, quantities relevant for particle physics remain virtually insensitive to large variations of the vacuum energy across the landscape. The purely non-perturbative vacua form a special subset of a more general class of vacua containing fractional Chern-Simons contributions. The cosmological constant can be dynamically neutralized via a chain of transitions interpolated by fractional gauge instantons describing spontaneous nucleation of M2-brane domain walls. Each transition is generically accompanied by a gauge symmetry breaking in some sector of the theory. In particular, the visible sector GUT symmetry breaking can likewise be triggered by a spontaneous nucleation of an M2-brane.

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From Singularities to Algebras to Pure Yang–Mills with Matter

Friedmann

2013

Lie Theory and Its Applications in Physics

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On the quantum moduli space of M-theory compactifications

Cited by 38 publications

References 5 publications

Double scaling limits in gauge theories and matrix models

Double scaling limits in gauge theories and matrix models

Scanning the Fluxless G_2 Landscape

From Singularities to Algebras to Pure Yang–Mills with Matter

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