Strong-weak coupling duality and non-perturbative effects in string theory

Font, Anamarı́a; Ibáñez, Luis E.; Lüst, Dieter; Quevedo, Fernando

doi:10.1016/0370-2693(90)90523-9

Cited by 361 publications

(657 citation statements)

References 40 publications

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“…This proposal has several problems: first, the fact that the superpotential has to be a modular form of negative weight implies the existence of poles in the fundamental domain. If the poles are at S → ∞ [10], then we do not recover the weak coupling behaviour expected from the general Dine-Seiberg arguments. Otherwise [11] there are singularities at finite values of the string coupling without a clear physical interpretation.…”

Section: Generalitiescontrasting

confidence: 75%

See 1 more Smart Citation

The dilaton potential from

Font¹,

Klein²,

Quevedo³

2001

Nuclear Physics B

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Recent understanding of N = 1 * supersymmetric theory (mass deformed N = 4) has made it possible to find an exact superpotential which encodes the properties of the different phases of the theory. We consider this superpotential as an illustrative example for the source of a nontrivial scalar potential for the string theory dilaton and study its properties. The superpotential is characterized by the rank of the corresponding gauge group (N ) and integers p, q, k labelling the different massive phases of the theory. For generic values of these parameters, we find the expected runaway behaviour of the potential to vanishing string coupling.But there are also supersymmetric minima at weak coupling stabilizing the dilaton field. An interesting property of this potential is that there is a proliferation of supersymmetric vacua in the confining phases, with the number of vacua increasing with N and leading to a kind of staircase potential. For a range of parameters, it is possible to obtain realistic values for the gauge coupling.

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Section: Generalitiescontrasting

confidence: 75%

“…Second, since the self-dual points S = 1, e iπ/6 are necessarily extrema of the invariant potential, then the natural value for S is of order S ∼ 1 which means strong coupling. Finally there are no explicit models which are self-dual under S-duality that can provide the superpotentials used in [10,11].…”

Section: Generalitiesmentioning

confidence: 99%

The dilaton potential from

Font¹,

Klein²,

Quevedo³

2001

Nuclear Physics B

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“…This analogy was one of the original motivations for proposing that S duality should also be a symmetry. The massless bosonic fields of the toroidally compactified heterotic string are the metric tensor g µν , the axion-dilaton field ρ, 28 Abelian gauge fields A a µ (6 from the 10d metric, 6 from the 10d two-form, and 16 from the Cartan subalgebra), and the 132 moduli parametrizing M 6,22 . These are the only massless bosonic fields at generic points in the classical moduli space.…”

Section: The 4d Heterotic Stringmentioning

confidence: 99%

“…The allowed charges are controlled by the asymptotic values of the moduli (ρ ∼ ρ (0) and M ab ∼ M (0) ab ) and a pair of vectors α a , β a belonging to the Narain lattice, which is an even self-dual Lorentzian lattice of signature (6,22). The formulas are…”

Section: The 4d Heterotic Stringmentioning

confidence: 99%

Lectures on superstring and M theory dualities

Schwarz

1997

Nuclear Physics B - Proceedings Supplements

277

338

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These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained in the period 1992-94. Next they review recently discovered dualities that relate all five of the 10d superstring theories and a quantum extension of 11d supergravity called M theory. The study of p-branes of various dimensions (some of which are D-branes) plays a central role. The final sections survey supersymmetric string vacua in 6d and some of the dual constructions by which they can be obtained. Special emphasis is given to a class of N = 1 models that exhibit "heterotic-heterotic duality."

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“…While Montonen-Olive duality was originally proposed as a Z 2 symmetry involving the coupling constant only, the N = 4 theory has one more parameter that should be included, namely the θ angle. As was originally recognized in lattice models [5,6] and string theory [7,8], when the θ angle is included, it is natural to combine it with the gauge coupling constant g in a complex parameter τ = θ 2π + 4πi g 2 . Invariance under T is the assertion that physics is periodic in θ with period 2π, and S is equivalent at θ = 0 to the transformation g 2 /4π → (g 2 /4π) −1 originally proposed by…”

Section: Introductionmentioning

confidence: 99%