Nonrenormalization of the superstring tension

Dabholkar, Atish; Harvey, Jeffrey A.

doi:10.1103/physrevlett.63.478

Cited by 284 publications

(426 citation statements)

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“…The simplest example of a lightlike state is the half-BPS purely electric state in the heterotic frame with winding w along a circle and momentum n along the same circle [20,21]. For such a state, Q 2 e = 2nw is nonzero but since it carries no magnetic charge, both Q 2 m and Q e · Q m are zero and hence the discriminant is zero.…”

Section: Microscopic Predictionmentioning

confidence: 99%

Comments on the spectrum of CHL dyons

Dabholkar¹,

Gaiotto²,

Nampuri³

2008

J. High Energy Phys.

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Abstract:We address a number of puzzles relating to the proposed formulae for the degeneracies of dyons in orbifold compactifications of the heterotic string to four dimensions with N = 4 supersymmetry. The partition function for these dyons is given in terms of Siegel modular forms associated with genus-two Riemann surfaces. We point out a subtlety in demonstrating S-duality invariance of the resulting degeneracies and give a prescription that makes the invariance manifest. We show, using M-theory lift of string webs, that the genus-two contribution captures the degeneracy only if a specific irreducibility criterion is satisfied by the charges. Otherwise, in general there can be additional contributions from higher genus Riemann surfaces. We analyze the negative discriminant states predicted by the formula. We show that even though there are no big black holes in supergravity corresponding to these states, there are multi-centered particle-like configurations with subleading entropy in agreement with the microscopic prediction and our prescription for S-duality invariance. The existence of the states is moduli dependent and we exhibit the curves of marginal stability and comment on its relation to S-duality invariance.

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Section: Microscopic Predictionmentioning

confidence: 99%

Comments on the spectrum of CHL dyons

Dabholkar¹,

Gaiotto²,

Nampuri³

2008

J. High Energy Phys.

Self Cite

105

273

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“…For a special choice of couplings, which was predicted [9] in the context of N = 1, D = 10 Supergravity, one can show that the combined self-interaction is zero; the dilaton contribution is negative, which cancels the positive contribution from the axion field.…”

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confidence: 97%

Regularization of the Linearized Gravitational Self-Force for Branes

Battye

Carter²,

Mennim³

2004

Phys. Rev. Lett.

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We discuss the linearized, gravitational self-interaction of a brane of arbitrary codimension in a spacetime of arbitrary dimension. We find that in the codimension two case the gravitational self-force is exactly zero for a Nambu-Goto equation of state, generalizing a previous result for a string in four dimensions. For the case of a 3-brane, this picks out the case of a six-dimensional brane-world model as having special properties which we discuss. In particular, we see that bare tension on the brane has no effect locally, suppressing the cosmological constant problem.PACS numbers: 04.50,98.80The divergent self-force of a charged point particle, such as the electron, coupled to electromagnetism has been understood for many years. Its resolution via the inclusion of an ultra-violet (UV) cut-off, due to the finite radius of the particle, leads to a renormalization of the particle's mass and a suppression of the pole singularity at short distances (see, for example,This problem is not unique and, in fact, similar problems exist for any distributional source coupled to any kind of field in any spacetime dimension. An interesting case is that of a Nambu-Goto string coupled to linearized gravity. It has been shown [2,3,4] that the self-force, regularized in the UV by the core width of the string, ǫ, and in the infra-red (IR) by the inter-string separation, ∆, is exactly zero due to the fact that the induced linearized metric perturbation is orthogonal to the string worldsheet. This result can be shown to be true at all orders in perturbation theory, in the case of a static string [5].A similar result can be deduced when the string in four dimensions is coupled to an axion field, represented by a 2-form, and a dilaton, as well as linearized gravity [6,7,8]. For a special choice of couplings, which was predicted [9] in the context of N = 1, D = 10 Supergravity, one can show that the combined self-interaction is zero; the dilaton contribution is negative, which cancels the positive contribution from the axion field.It should be noted that the UV regularization of the self-field is not necessary in the codimension one case, the hypersurface, where the behaviour at the brane can be dealt with using junction conditions. The case of gravity can be dealt with exactly, at all orders, using the conditions often attributed to Israel [10] (although see ref.[11]). Similar lines of argument lead to the junction conditions at a surface in Maxwell's theory of electromagnetism [1].The extension of these ideas to higher dimensions has become more relevant recently with the interest that has arisen in brane-world models. In these models, the matter of the Standard Model of particle physics is confined to a four-dimensional subspace, or brane, of a higher-dimensional spacetime, often called the bulk. Two types of model have received particular attention: sixdimensional models with flat, compact extra dimensions, such as the Arkani-Hamed, Dimopoulos and Dvali (ADD) model [12], and five-dimensional models with warped extra dimensions, s...

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“…It is now evident that A (1) 1 and A (2) 1 are similar to the one loop A 1 which can be handled by integrating the real part of the appropriate period matrix element. So, these two terms are again bounded by some finite M independent quantity.…”

Section: Bound On the Two-point Functionmentioning

confidence: 99%

“…These states are supersymmetric. Their mass and charge are not renormalized [2], so the tree-level extremality relation, M = |q|, is exact.…”

Section: Introductionmentioning

confidence: 99%