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S-duality Action on Discrete T-duality Invariants · Around

2007

S-duality Action on Discrete T-duality Invariants

Banerjee, Shamik, Sen, Ashoke

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In heterotic string theory compactified on T^6, the T-duality orbits of dyons of charge (Q,P) are characterized by O(6,22;R) invariants Q^2, P^2 and Q.P together with a set of invariants of the discrete T-duality group O(6,22;Z).

We study the action of S-duality group on the discrete T-duality invariants and study its consequence for the dyon degeneracy formula.
In particular we find that for dyons with torsion r, the degeneracy formula, expressed as a function of Q^2, P^2 and Q.P, is required to be manifestly invariant under only a subgroup of the S-duality group.
This subgroup is isomorphic to \Gamma^0(r).

Built on

K. S. Narain, “New Heterotic String Theories In Uncompactified Dimensions < < 10,” Phys. Lett. B 169
1986
Earlier work this paper cites.
K. S. Narain, M. H. Sarmadi and E. Witten, “A Note on Toroidal Compactification of Heterotic String Theory,” Nucl. Phys. B 279
1987
Earlier work this paper cites.
N. Askitas, Embeddings of 2-spheres in 4-manifolds, Manuscripta Math. 89
1996
Earlier work this paper cites.

Similar

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1997
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S. Banerjee and A. Sen, “Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T 6 T^{6} ”, arXiv:0712.0043 [hep-th]
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A. Dabholkar, D. Gaiotto and S. Nampuri, “Comments on the spectrum of CHL dyons,” arXiv:hep-th/0702150
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S. Nampuri, P. K. Tripathy and S. P. Trivedi, “Duality Symmetry and the Cardy Limit,” arXiv:0711.4671 [hep-th]
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A. Sen, “Rare Decay Modes of Quarter BPS Dyons,” arXiv:0707.1563 [hep-th]
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A. Mukherjee, S. Mukhi and R. Nigam, “Dyon Death Eaters,” arXiv:0707.3035 [hep-th]
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A. Sen, “Walls of marginal stability and dyon spectrum in N = 4 supersymmetric string theories,” arXiv:hep-th/0702141
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M. C. N. Cheng and E. Verlinde, “Dying Dyons Don’t Count,” arXiv:0706.2363 [hep-th]
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D. Shih, A. Strominger and X. Yin, “Recounting dyons in N = 4 string theory,” arXiv:hep-th/0505094
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D. Gaiotto, “Re-recounting dyons in N = 4 string theory,” arXiv:hep-th/0506249
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Then

D. P. Jatkar and A. Sen, “Dyon spectrum in CHL models,” JHEP 0604
2006
Later among the works it cites.
J. R. David, D. P. Jatkar and A. Sen, “Product representation of dyon partition function in CHL models,” JHEP 0606
2006
Later among the works it cites.
J. R. David and A. Sen, “CHL dyons and statistical entropy function from D1-D5 system,” JHEP 0611
2006
Later among the works it cites.

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