Superstrings and topological strings at large N

By C. Vafa. 2000

505 citations recorded by the source corpus.

We embed the large N Chern–Simons/topological string duality in ordinary superstrings. This corresponds to a large N duality between generalized gauge systems with N=1 supersymmetry in four dimensions and superstrings propagating on noncompact Calabi–Yau manifolds with certain fluxes turned on. We also show that in a particular limit of the N=1 gauge theory system, certain superpotential terms in the N=1 system (including deformations if spacetime is noncommutative) are captured to all orders in 1/N by the amplitudes of noncritical bosonic strings propagating on a circle with self-dual radius. We also consider D-brane/anti-D-brane system wrapped over vanishing cycles of compact Calabi–Yau manifolds and argue that at large N they induce a shift in the background to a topologically distinct Calabi–Yau, which we identify as the ground state system of the brane/anti-brane system.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5c03433fe25f58547b23b2ce7d16f31b03c1b506

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Citations in the corpus

Worldsheet derivation of a large N duality (2002, methodology): “The Chern-Simons theory/topological closed string duality was embedded in the context of the type IIA string theory in [13].”
Nongeometric flux compactifications (2005, methodology): “, the H-flux has 0 or 1 legs on the T (3)) has recently been described in detail in [8, 9], following a suggestion in [44], using the generalized Calabi-Yau geometry developed by Hitchin; it would be very interesting to understand whether there is a precise way of extending that work to the nongeome”
An M theory flop as a large N duality (2000, methodology): “strings as used in [ 2 ] relevant? The answer turns out to be that if we consider the BPS”
Supergravity microstates for BPS black holes and black rings (2005, background): “’s geometric transitions picture [32, 33] and melting crystal space-time foam picture [35, 36] which will certainly attract future attention.”
Liouville Field Theory — A decade after the revolution (2004, methodology): “It is very surprising that, after embedding the topological string duality into the physical superstring theory [83], the nonperturbative physics of the N = 1 gauge theory is captured by the Liouville partition function.”
A Perturbative Window into Non-Perturbative Physics (2002, background): “It was suggested in [9] that the higher genus corrections for g > 1 in addition measure the response of the gauge theory to a non-commutativity in spacetime represented by the (self-dual) graviphoton field strength F+.”
Knots, links and branes at large N (2000, background): “This duality has been recently been embedded in the context of type IIA superstrings with N = 1 supersymmetry in 4 dimensions [9] and it provides a new context where a 2”
Direct mediation of metastable supersymmetry breaking (2006, background): “(For earlier works in this direction, see for example [50, 51, 52].”
A large N duality via a geometric transition (2001, methodology): ““A Large N Duality via a Geometric Transition.””
Flux compactifications in string theory: A Comprehensive review (2005, background): “[140], showing that the mirror of the NS flux H3 is the torsion of half-flat manifolds, namely ReW1, ReW2.”
SU(3) × SU(3) compactification and mirror duals of magnetic fluxes (2006, background): “On the other hand the NS three-form flux becomes part of the geometry in the mirror dual compactification [20, 11].”
D3-brane potentials from fluxes in AdS/CFT (2010, background): “This observation is similar to the D5-brane geometric transition [57, 58, 13], but we leave a thorough investigation of this intriguing possibility as a subject for future work [28].”
Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes (2002, unknown): “This has led to the proposition [19] that in type IIA the holomorphic three-form Ω ceases to be holomorphic and effectively an NS two- and four-form is induced.”
Hierarchies from fluxes in string compactifications (2001, background): “The results of [9] provide a more general construction of dualities between fluxes and gauge theories, and quantum gauge theory effects are again calculable using classical geometry.”