Modern Physics Letters A (Impact Factor: 1.2). 11/2011; 08(21). DOI: 10.1142/S0217732393001732
Source: arXiv


We show that in heterotic string theory compactified on a six-dimensional torus, the lower bound (Bogomol’nyi bound) on the dyon mass is invariant under the SL(2, ℤ) transformation that interchanges strong and weak coupling limits of the theory. Elementary string excitations are also shown to satisfy this lower bound. Finally, we identify specific monopole solutions that are related via the strong-weak coupling duality transformation to some of the elementary particles saturating the Bogomol’nyi bound, and these monopoles are shown to have the same mass and degeneracy of states as the corresponding elementary particles.

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    • "The examples with N = 4 supersymmetry have strongly constrained radiative corrections and may allow calculations of tunneling effects. Sen[17] points out that the tree-level spectrum of the strongly coupled theory may be preserved in some cases due to supersymmetry nonrenormalization theorems. Ref. [8] pointed out several analogies between R ↔ 1/R duality and strong-weak coupling duality. "
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    ABSTRACT: A strong-weak coupling duality symmetry of the string equations of motion has been suggested in the literature. This symmetry implies that vacua occur in pairs. Since the coupling constant is a dynamical variable in string theory, tunneling solutions between strong and weak coupling vacua may exist. Such solutions would naturally lead to non-perturbative effects with anomalous coupling dependence. A highly simplified example is given.
    Full-text · Article · Dec 1993 · Modern Physics Letters A
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    ABSTRACT: A large class of new 4-D superstring vacua with non-trivial/singular geometries, spacetime supersymmetry and other background fields (axion, dilaton) are found. Killing symmetries are generic and are associated with non-trivial dilaton and antisymmetric tensor fields. Duality symmetries preserving N=2 superconformal invariance are employed to generate a large class of explicit metrics for non-compact 4-D Calabi-Yau manifolds with Killing symmetries. Comment: LateX file, 34pp., (v5) Some misprints corrected in sections 3.1, 3.2 as pointed out in the paper of Hori and Kapustin (hep-th/0203147). Some comsetic changes also made in the same sections
    Full-text · Article · Aug 1992 · International Journal of Modern Physics A
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    ABSTRACT: It is frequently useful to construct dual descriptions of theories containing antisymmetric tensor fields by introducing a new potential whose curl gives the dual field strength, thereby interchanging field equations with Bianchi identities. We describe a general procedure for constructing actions containing both potentials at the same time, such that the dual relationship of the field strengths arises as an equation of motion. The price for doing this is the sacrifice of manifest Lorentz invariance or general coordinate invariance, though both symmetries can be realized nonetheless. There are various examples of global symmetries that have been realized as symmetries of field equations but not actions. These can be elevated to symmetries of the action by our method. The main example that we focus on is the low-energy effective action description of the heterotic string theory compactified on a six-torus to four dimensions. We show that the SL(2,R) symmetry, whose SL(2,Z) subgroup has been conjectured to be an exact symmetry of the full string theory, can be realized on the action in a way that brings out a remarkable similarity to the target space duality symmetry O(6,22). Our analysis indicates that SL(2,Z) symmetry may arise naturally in a dual formulation of the theory. Comment: phyzzx.tex, 31 pages, NSF-ITP-93-46
    Preview · Article · Apr 1993 · Nuclear Physics B
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