Instanton corrected non-supersymmetric attractors

Dominic, Pramod; Tripathy, Prasanta Kumar

doi:10.1007/jhep01(2011)116

Cited by 4 publications

(10 citation statements)

References 29 publications

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“…the discussion in [28] and [57,58]). The effect of non-perturbative, exponential corrections to cubic prepotentials on the spectrum and the stability of extremal BH attractors has been recently addressed in [30], whose findings confirm the general belief that non-perturbative correction lift the "flat" directions (if any) of the perturbative theory 12 . At the level of the prepotential, this can be traced back to the fact that exponential corrections to the purely cubic holomorphic prepotential (2.9) d-SK geometries (of the kind given by Eq.…”

Section: Stringy Originmentioning

confidence: 70%

“…Indeed, the prepotential given by Eq. (3.7) of [30] is nothing but a particular case 8 of the general structure (2.6)-(2.8).…”

Section: Cubic Special Geometries and Axion-shiftsmentioning

confidence: 99%

“…The results recently obtained in Sec. 3 of [30] provide an explicit example (with n V = 2 and for a particular charge configuration) of some aspects of the general treatment given here. Indeed, the prepotential given by Eq.…”

Section: Cubic Special Geometries and Axion-shiftsmentioning

confidence: 99%

“…At the level of the prepotential, this can be traced back to the fact that exponential corrections to the purely cubic holomorphic prepotential (2.9) d-SK geometries (of the kind given by Eq. (4.1) of [30]) affect the geometry properties of the scalar manifold itself.…”

Section: Stringy Originmentioning

confidence: 99%

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Topics in cubic special geometry

Bellucci

Marrani

Roychowdhury³

2011

Journal of Mathematical Physics

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We reconsider the sub-leading quantum perturbative corrections to N = 2 cubic special Kähler geometries. Imposing the invariance under axion-shifts, all such corrections (but the imaginary constant one) can be introduced or removed through suitable, lower unitriangular symplectic transformations, dubbed PecceiQuinn (PQ) transformations.Since PQ transformations do not belong to the d = 4 U -duality group G 4 , in symmetric cases they generally have a non-trivial action on the unique quartic invariant polynomial I 4 of the charge representation R of G 4 . This leads to interesting phenomena in relation to theory of extremal black hole attractors; namely, the possibility to make transitions between different charge orbits of R, with corresponding change of the supersymmetry properties of the supported attractor solutions. Furthermore, a suitable action of PQ transformations can also set I 4 to zero, or vice versa it can generate a non-vanishing I 4 : this corresponds to transitions between "large" and "small" charge orbits, which we classify in some detail within the "special coordinates" symplectic frame.Finally, after a brief account of the action of PQ transformations on the recently established correspondence between Cayley's hyperdeterminant and elliptic curves, we derive an equivalent, alternative expression of I 4 , with relevant application to black hole entropy.

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Section: Stringy Originmentioning

confidence: 70%

“…Indeed, the prepotential given by Eq. (3.7) of [30] is nothing but a particular case 8 of the general structure (2.6)-(2.8).…”

Section: Cubic Special Geometries and Axion-shiftsmentioning

confidence: 99%

Section: Cubic Special Geometries and Axion-shiftsmentioning

confidence: 99%

Section: Stringy Originmentioning

confidence: 99%

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Topics in cubic special geometry

Bellucci

Marrani

Roychowdhury³

2011

Journal of Mathematical Physics

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“…A general group theoretic analysis has been carried out in [8,9] to understand the issue of stability and the existence of flat directions for non-supersymmetric attractors in more general class of N = 2 supergravity theories. It has been subsequently shown that, stringy corrections can make these flat directions either stable or unstable depending upon the charges of the corresponding black hole configurations [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Multiple single-centered attractors

Dominic

Mandal

Tripathy

2014

J. High Energ. Phys.

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In this paper we study spherically symmetric single-centered attractors in N = 2 supergravity in four dimensions. The attractor points are obtained by extremising the effective black hole potential in the moduli space. Both supersymmetric as well as non-supersymmetric attractors exist in mutually exclusive domains of the charge lattice. We construct axion free supersymmetric as well as non-supersymmetric multiple attractors in a simple two parameter model. We further obtain explicit examples of two distinct nonsupersymmetric attractors in type IIA string theory compactified on K3 × T 2 carrying D0 − D4 − D6 charges. We compute the entropy of these attractors and analyse their stability in detail.

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Non-supersymmetric stringy attractors

Dominic

Tripathy

2012

J. High Energ. Phys.

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In this paper we examine the stability of non-supersymmetric attractors in type IIA supergravity compactified on a Calabi-Yau manifold, in the presence of sub-leading corrections to the N = 2 pre-potential. We study black hole configurations carrying D0 − D6 and D0 − D4 charges.We consider the O(1) corrections to the pre-potential given by the Euler number of the Calabi-Yau manifold. We argue that such corrections in general can not lift the zero modes for the D0 − D6 attractors. However, for the attractors carrying the D0− D4 charges, they affect the zero modes in the vector multiplet sector. We show that, in the presence of such O(1) corrections, the D0 − D4 attractors can either be stable or unstable depending on the geometry of the underlying Calabi-Yau manifold, and on the specific values of the charges they carry. *

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Instanton corrected non-supersymmetric attractors

Cited by 4 publications

References 29 publications

Topics in cubic special geometry

Topics in cubic special geometry

Multiple single-centered attractors

Non-supersymmetric stringy attractors

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