arXiv subjects

Alex Love

Publications and source records attributed to Alex Love.

8 recordsLinked to original sources

arXiv2014

Reduced modular symmetries of threshold corrections and gauge coupling unification

We revisit the question of gauge coupling unification at the string scale in orbifold compactifications of the heterotic string for the supersymmetric Standard Model. In the presence of discrete Wilson lines threshold corrections with modular symmetry that is a subgroup of the full modular group arise. We find that reduced modular symmetries not previously reported are possible. We conjecture that the effects of such threshold corrections can be simulated using sums of terms built from Dedekind eta functions to obtain the appropriate modular symmetry. For the cases of the Z_8-I orbifold and the Z_3 x Z_6 orbifold it is easily possible to obtain gauge coupling unification at the "observed" scale with Kahler moduli T of approximately one.

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arXiv2013

Intersecting D6-branes on the Z_{12}-II orientifold

Much work has been done by a number of authors with the aim of constructing the supersymmetric Standard Model in type IIA intersecting-brane theories compactified on an orientifold with various Z_N or Z_M x Z_N point groups. Here we consider the Z_{12} point group which has previously received comparatively little attention. We consider intersecting D6-branes that wrap 3-cycles consisting of a 2-cycle of the 4-dimensional lattice upon which the Z_{12} is realised times a 1-cycle of the remaining 2-torus. Our discussion is restricted to the case when these 2-cycles are "factorisable" in the sense discussed in section 3. Although it is possible to find models with the correct supersymmetric Standard Model quark-doublet content, we have not found it possible to obtain the correct quark-singlet content.

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arXiv2011

Stabilising the supersymmetric Standard Model on the Z_6' orientifold

Four stacks of intersecting supersymmetric fractional D6-branes on the Z_6' orientifold have previously been used to construct consistent models having the spectrum of the supersymmetric Standard Model, including a single pair of Higgs doublets, plus three right-chiral neutrino singlets. However, various moduli, Kahler moduli and complex-structure moduli, twisted and untwisted, remain unfixed. Further, some of the Yukawa couplings needed to generated quark and lepton masses are forbidden by a residual global symmetry of the model. In this paper we study the stabilisation of moduli using background fluxes, and show that the moduli may be stabilised within the Kahler cone. In principle, missing Yukawa couplings may be restored, albeit with a coupling that is suppressed by non-perturbative effects, by the use Euclidean D2-branes that are pointlike in spacetime, i.e. E2-instantons. However, for the models under investigation, we show that this is not possible.

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arXiv2008

Constructing the supersymmetric Standard Model from intersecting D6-branes on the Z_6' orientifold

Intersecting stacks of supersymmetric fractional branes on the Z_6' orientifold may be used to construct the supersymmetric Standard Model. If $a,b$ are the stacks that generate the SU(3)_{colour} and SU(2)_L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) Standard Model (with non-zero Yukawa couplings to the Higgs mutiplets),it is necessary that the number of intersections $a \cap b$ of the stacks $a$ and $b$, and the number of intersections $a \cap b'$ of $a$ with the orientifold image $b'$ of $b$ satisfy $(a \cap b,a \cap b')=(2,1)$ or $(1,2)$. It is also necessary that there is no matter in symmetric representations of the gauge group, and not too much matter in antisymmetric representations, on either stack. Fractional branes having all of these properties may be constructed on the Z_6' orientifold. We provide a number of new examples having these properties, some of which may be extended to give the Standard Model spectrum. Specifically, we construct four-stack models with two further stacks, each with just a single brane, which have the matter spectrum of the supersymmetric Standard Model, including a single pair of Higgs doublets, {\em plus} three right-chiral neutrino singlets. Ramond-Ramond tadpole cancellation is achieved by the introduction of background H_3 flux, the 3-form field strength associated with the Kalb-Ramond 2-form field B_2. There remains a single unwanted gauged U(1)_{B-L}.

hep-th↗

arXiv2007

Almost the supersymmetric Standard Model from intersecting D6-branes on the Z_6' orientifold

Intersecting stacks of supersymmetric fractional branes on the Z_6' orientifold may be used to construct the supersymmetric Standard Model. If a,b are the stacks that generate the SU(3)_{colour} and SU(2)_L gauge particles, then, in order to obtain {\em just} the chiral spectrum of the (supersymmetric) Standard Model (with non-zero Yukawa couplings to the Higgs mutiplets), it is necessary that the number of intersections a \cap b of the stacks a and b, and the number of intersections a \cap b' of a with the orientifold image b' of b satisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is also necessary that there is no matter in symmetric representations of the gauge group, and not too much matter in antisymmetric representations, on either stack. Fractional branes having all of these properties may be constructed on the Z_6' orientifold. We construct a (four-stack) model with two further stacks, each with just a single brane, which has precisely the matter spectrum of the supersymmetric Standard Model, including a single pair of Higgs doublets. However, the gauge group is SU(3)_{\rm colour} x SU(2)_L x U(1)_Y x U(1)_H. Only the Higgs doublets are charged with respect to U(1)_H.

hep-th↗

arXiv2006

The supersymmetric standard model from the Z_6' orientifold?

We construct N=1 supersymmetric fractional branes on the Z_6' orientifold. Intersecting stacks of such branes are needed to build a supersymmetric standard model. If $a,b$ are the stacks that generate the SU(3)_c and SU(2)_L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) standard model (with non-zero Yukawa couplings to the Higgs mutiplets), it is necessary that the number of intersections a \cap b of the stacks a and b, and the number of intersections a \cap b' of a with the orientifold image b' of b satisfy (a \cap b,a \cap b')=(2,1) or (1,2). It is also necessary that there is no matter in symmetric representations of either gauge group. We have found a number of examples having these properties.

hep-th↗

arXiv2006

The supersymmetric standard model from the Z_6' orientifold?

We construct N=1 supersymmetric fractional branes on the Z_6' orientifold. Intersecting stacks of such branes are needed to build a supersymmetric standard model. If a,b are the stacks that generate the SU(3)_c and SU(2)_L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) standard model (with non-zero Yukawa couplings to the Higgs multiplets), it is necessary that the number of intersections a \circ b of the stacks a and b, and the number of intersections a \circ b' of a with the orientifold image b' of b satisfy (a \circ b, a \circ b')=\pm(2,1) or \pm(1,2). It is also necessary that there is no matter in symmetric representations of the gauge group, and not too much matter in antisymmetric representations, on either stack. We provide a number of examples having these properties. Different lattices give different solutions and different physics.

hep-th↗

arXiv2006

Towards the supersymmetric standard model from intersecting D6-branes on the Z_6' orientifold

We construct N=1 supersymmetric fractional branes on the Z_6' orientifold. Intersecting stacks of such branes are needed to build a supersymmetric standard model. If a,b are the stacks that generate the SU(3)_c and SU(2)_L gauge particles, then, in order to obtain just the chiral spectrum of the (supersymmetric) standard model (with non-zero Yukawa couplings to the Higgs multiplets), it is necessary that the number ofintersections a \circ b of the stacks a and b, and the number of intersections a \circ b' of a with the orientifold image b' of b satisfy (a \circ b,a \circ b')=\pm(2,1) or \pm(1,2). It is also necessary that there is no matter in symmetric representations of the gauge group, and not too much matter in antisymmetric representations, on either stack. We provide a number of examples having these properties. Different lattices give different solutions and different physics.

hep-th↗