D = 3 unification of curious supergravities

Duff, M. J.; Ferrara, S.; Marrani, Alessio

doi:10.1007/jhep01(2017)023

Cited by 5 publications

(12 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…which generate SU (2) L when applied to (39). Here, the T j are defined as in equation (35). Finally, the twelfth generator is realised as…”

Section: One Generation As Minimal Idealsmentioning

confidence: 99%

“…It is hoped that these results will be of direct use to those currently working on grand unified theories [12][13][14][15][16][17][18][19], extra dimensions [20][21][22][23][24], and non-commutative geometry [25][26][27][28][29]. Furthermore, it may lend helpful clues to those working in related fields such as supersymmetry [30][31][32][33][34][35][36], and other topics closely related to the division algebras [37][38][39][40]. Finally, the possibility of an extra B−L symmetry mentioned here is particularly exciting given the recent findings of [41][42][43][44].…”

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

$$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right) $$ S U ( 3 ) C × S U

Furey

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

We demonstrate a model which captures certain attractive features of SU (5) theory, while providing a possible escape from proton decay. In this paper we show how ladder operators arise from the division algebras R, C, H, and O. From the SU (n) symmetry of these ladder operators, we then demonstrate a model which has much structural similarity to Georgi and Glashow's SU (5) grand unified theory. However, in this case, the transitions leading to proton decay are expected to be blocked, given that they coincide with presumably forbidden transformations which would incorrectly mix distinct algebraic actions. As a result, we find that we are left withFinally, we point out that if U (n) ladder symmetries are used in place of SU (n), it may then be possible to find this same, together with an extra U (1) X symmetry, related to B − L.

show abstract

“…which generate SU (2) L when applied to (39). Here, the T j are defined as in equation (35). Finally, the twelfth generator is realised as…”

Section: One Generation As Minimal Idealsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

$$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right) $$ S U ( 3 ) C × S U

Furey

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…In this way, the corresponding entropy functions have been computed using the duality symmetries which act on the invariant black object charges. Considering Dbrane physics, several compactfications producing some black brane solutions embedded in type II superstrings have been studied [6,7,8]. It has been shown that these black objects can be linked to many subjects including quantum information theory by exploiting the qubit mathematical formalism [9,10,11,12,13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Stringy dyonic solutions and clifford structures

Belfakir

Belhaj

Maadi

et al. 2019

Int. J. Geom. Methods Mod. Phys.

View full text Add to dashboard Cite

Using the toroidal compactification of string theory on n-dimensional tori, T n , we investigate dyonic objects in arbitrary dimensions. First, we present a class of dyonic black solutions formed by two different D-branes using a correspondence between toroidal cycles and objects possessing both magnetic and electric charges, belonging to U(1) 2 n−1 e ×U(1) 2 n−1 m dyonic gauge symmetry. This symmetry could be associated with electrically charged magnetic monopole solutions in stringy model buildings of the standard model extensions. Then, we consider in some details such black hole classes obtained from even dimensional toroidal compactifications, and we find that they are linked to Cl(n) Clifford algebras using the vee product. It is believed that this analysis could be extended to dyonic objects which can be obtained from local Calabi-Yau manifold compactifications.

show abstract

“…The black objects, embedded in superstring theory compactifications, can be connected to quantum information theory using the qubit analysis [12][13][14][15][16][17][18][19][20][21][22][23][24]. Precisely, a fascinating correspondence has been discovered between quantum information theory and superstring theory.…”

mentioning

confidence: 99%

“…The underlying idea is a link between the N = 2 STU black hole charges and three-qubit states which has been established in [15,16]. Furthermore, the analysis based on three-qubits has been developed to describe the structure of extremal black hole solutions in terms of four-qubit systems [12,19,22,23,28]. In all the works on four-qubits, one uses the complex geometry to deal with the corresponding black hole entropy.…”

mentioning

confidence: 99%

Four-qubit systems and dyonic black Hole–Black branes in superstring theory

Belhaj

Bensed

Benslimane

et al. 2018

Int. J. Geom. Methods Mod. Phys.

View full text Add to dashboard Cite

Using dyonic solutions in the type IIA superstring theory on Calabi-Yau manifolds, we reconsider the study of black objects and quantum information theory using string/string duality in six dimensions. Concretely, we relate four-qubits with a stringy quaternionic moduli space of type IIA compactification associated with a dyonic black solution formed by black holes (BH) and black 2-branes (B2B) carrying 8 electric charges and 8 magnetic charges. This connection is made by associating the cohomology classes of the heterotic superstring on T 4 to four-qubit states. These states are interpreted in terms of such dyonic charges resulting from the quaternionic symmetric space SO(4,4) SO(4)×SO(4) corresponding to a N = 4 sigma model superpotential in two dimensions. The superpotential is considered as a functional depending on four quaternionic fields mapped to a class of Clifford algebras denoted as Cl 0,4 . A link between such an algebra and the cohomology classes of T 4 in heterotic superstring theory is also given.

show abstract

D = 3 unification of curious supergravities

Cited by 5 publications

References 32 publications

$$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right) $$ S U ( 3 ) C × S U

$$SU(3)_C\times SU(2)_L\times U(1)_Y\left( \times U(1)_X \right) $$ S U ( 3 ) C × S U

Stringy dyonic solutions and clifford structures

Four-qubit systems and dyonic black Hole–Black branes in superstring theory

Contact Info

Product

Resources

About