Bhargava’s cube and black hole charges

Banerjee, Narayan; Bhand, Ajit; Dutta, Suvankar; Sen, Ashoke; Singh, Ranveer Kumar

doi:10.1007/s40687-020-00237-0

Cited by 3 publications

(7 citation statements)

References 22 publications

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“…The new aspect of the STU black holes associated with Bhargava cube developed in [7][8][9][10] is the following. It is possible to attach a triple of quadratic forms…”

Section: Stu Black Holes Triality and The Bhargava Cubementioning

confidence: 99%

“…The action of modular groups [SL(2, Z)] 3 on the Bhargava cube was studied in detail in mathematical literature and recently applied in the context of STU black holes in [7][8][9][10]. However, the permutations symmetry of the discriminant of the Bhargava cube was not yet revealed in most of these studies 2 .…”

Section: Stu Black Holes Triality and The Bhargava Cubementioning

confidence: 99%

“…The recent stage of this story has to do with a renewed interest in mathematical aspects of black holes in string theory/supergravity as studied in [7][8][9][10]. The relation between STU black holes and Bhargava cube was observed and discussed earlier in [11,12].…”

Section: Introductionmentioning

confidence: 99%

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M-theory, Black Holes and Cosmology

Kallosh

2020

Preprint

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This paper is dedicated to M. Duff on the occasion of his 70th birthday. I discuss some issues of M-theory/string theory/supergravity closely related to Mike's interests. I describe a relation between STU black hole entropy, Cayley hyperdeterminant, Bhargava cube and a 3-qubit Alice, Bob, Charlie triality symmetry. I shortly describe my recent work with Gunaydin, Linde, Yamada on M-theory cosmology [1], inspired by the work of Duff with Ferrara and Borsten, Levay, Marrani et al. Here we have 7-qubits, a party including Alice, Bob, Charlie, Daisy, Emma, Fred, George. Octonions and Hamming error correcting codes are at the base of these models. They lead to 7 benchmark targets of future CMB missions looking for primordial gravitational wave from inflation. I also show puzzling relations between the fermion mass eigenvalues in these cosmological models, exceptional Jordan eigenvalue problem, and black hole entropy. The symmetry of our cosmological models is illustrated by beautiful pictures of a Coxeter projection of the root system of E7.

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“…The new aspect of the STU black holes associated with Bhargava cube developed in [7][8][9][10] is the following. It is possible to attach a triple of quadratic forms…”

Section: Stu Black Holes Triality and The Bhargava Cubementioning

confidence: 99%

Section: Stu Black Holes Triality and The Bhargava Cubementioning

confidence: 99%

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M-theory, Black Holes and Cosmology

Kallosh

2020

Preprint

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“…Binary quadratic forms have been shown to play a role in the study of BPS black holes [40][41][42][43][44][45]. In this paper, we focused on the cases ∆ < 0 and ∆ = 0.…”

Section: 15)mentioning

confidence: 99%

Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N} =4$ CHL models

Cardoso,

Nampuri,

Rosselló

2020

Preprint

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“…The recent stage of this story is linked to a renewed interest in mathematical aspects of black holes in string theory/supergravity as studied in [6][7][8][9]. The relation between STU black holes and the Bhargava cube was observed and discussed previously in [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

M-theory, black holes and cosmology

Каллош

2021

Proc. R. Soc. A.

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This paper is dedicated to Michael J. Duff on the occasion of his 70th birthday. I discuss some issues of M-theory/string theory/supergravity closely related to Mike’s interests. I describe a relation between STU black hole entropy, the Cayley hyperdeterminant, the Bhargava cube and a three-qubit Alice–Bob–Charlie triality symmetry. I shortly describe my recent work with Gunaydin, Linde and Yamada on M-theory cosmology (Gunaydin et al. 2020 M-theory cosmology, octonions, error-correcting codes ( http://arxiv.org/abs/2008.01494 )), inspired by the work of Duff with Ferrara and Borsten, Levay, Marrani et al. Here, we have seven-qubits, a party including Alice, Bob, Charlie, Daisy, Emma, Fred and George. Octonions and Hamming error-correcting codes are at the base of these models. They lead to seven benchmark targets of future cosmic microwave background missions looking for primordial gravitational waves from inflation. I also show puzzling relations between the fermion mass eigenvalues in these cosmological models, the exceptional Jordan eigenvalue problem and black hole entropy. The symmetry of our cosmological models is illustrated by beautiful pictures of a Coxeter projection of the root system of E7.

show abstract

Bhargava’s cube and black hole charges

Cited by 3 publications

References 22 publications

M-theory, Black Holes and Cosmology

M-theory, Black Holes and Cosmology

Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N} =4$ CHL models

M-theory, black holes and cosmology

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