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# MAGNETIC MONOPOLES, BOGOMOL’NYI BOUND AND SL(2, ℤ) INVARIANCE IN STRING THEORY

Modern Physics Letters A (Impact Factor: 1.11). 11/2011; 08(21). DOI: 10.1142/S0217732393001732

Source: arXiv

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**ABSTRACT:**We present a simple algorithm to obtain solutions that generalize the Israel–Wilson–Perjés class for the low energy limit of heterotic string theory toroidally compactified from D=d+3 to three dimensions. A remarkable map existing between the Einstein–Maxwell (EM) theory and the theory under consideration allows us to solve directly the equations of motion making use of the matrix Ernst potentials connected with the coset matrix of heterotic string theory.1 For the particular case d=1 (if we put n=6, the resulting theory can be considered as the bosonic part of the action of D=4, N=4 supergravity) we obtain explicitly a dyonic solution in terms of one real 2×2-matrix harmonic function and 2n real constants (n being the number of Abelian vector fields). By studying the asymptotic behavior of the field configurations we define the charges of the system. They satisfy the Bogomol'nyi–Prasad–Sommerfield (BPS) bound.International Journal of Modern Physics A 01/2012; 14(09). · 1.13 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**Four-dimensional heterotic string effective action is known to admit non-rotating electrically and magnetically charged black hole solutions. The partition function and entropy is computed for electrically charged black holes and is vanishing in some extremal limit. For the magnetically charged black holes the entropy is also argued to be vanishing in the same extremal limit when these black hole solutions are related by S-duality transformations.Modern Physics Letters A 11/2011; 11(39n40). · 1.11 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A two-dimensional string effective action is obtained by dimensionally reducing the bosonic part of the 10-dimensional heterotic string effective action. It is shown that this effective action, with a few restrictions on some backgrounds, describes a two-dimensional model which admits an infinite sequence of nonlocal conserved currents.Modern Physics Letters A 11/2011; 11(01). · 1.11 Impact Factor

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