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String Threshold corrections in models with spondaneously broken supersymmetry

We analyse a class of four-dimensional heterotic ground states with N=2 space-time supersymmetry. From the ten-dimensional perspective, such models can be viewed as compactifications on a six-dimensional manifold with SU(2) holonomy, which is locally but not globally K3 x T^2. The maximal N=4 supers...

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Autores principales: Kiritsis, E., Kounnas, C., Petropoulos, P.M., Rizos, J.
Lenguaje:eng
Publicado: 1998
Materias:
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(98)00713-5
http://cds.cern.ch/record/359457
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author Kiritsis, E.
Kounnas, C.
Petropoulos, P.M.
Rizos, J.
author_facet Kiritsis, E.
Kounnas, C.
Petropoulos, P.M.
Rizos, J.
author_sort Kiritsis, E.
collection CERN
description We analyse a class of four-dimensional heterotic ground states with N=2 space-time supersymmetry. From the ten-dimensional perspective, such models can be viewed as compactifications on a six-dimensional manifold with SU(2) holonomy, which is locally but not globally K3 x T^2. The maximal N=4 supersymmetry is spontaneously broken to N=2. The masses of the two massive gravitinos depend on the (T,U) moduli of T^2. We evaluate the one-loop threshold corrections of gauge and R^2 couplings and we show that they fall in several universality classes, in contrast to what happens in usual K3 x T^2 compactifications, where the N=4 supersymmetry is explicitly broken to N=2, and where a single universality class appears. These universality properties follow from the structure of the elliptic genus. The behaviour of the threshold corrections as functions of the moduli is analysed in detail: it is singular across several rational lines of the T^2 moduli because of the appearance of extra massless states, and suffers only from logarithmic singularities at large radii. These features differ substantially from the ordinary K3 x T^2 compactifications, thereby reflecting the existence of spontaneously-broken N=4 supersymmetry. Although our results are valid in the general framework defined above, we also point out several properties, specific to orbifold constructions, which might be of phenomenological relevance.
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spelling cern-3594572023-03-14T19:57:51Zdoi:10.1016/S0550-3213(98)00713-5http://cds.cern.ch/record/359457engKiritsis, E.Kounnas, C.Petropoulos, P.M.Rizos, J.String Threshold corrections in models with spondaneously broken supersymmetryParticle Physics - TheoryWe analyse a class of four-dimensional heterotic ground states with N=2 space-time supersymmetry. From the ten-dimensional perspective, such models can be viewed as compactifications on a six-dimensional manifold with SU(2) holonomy, which is locally but not globally K3 x T^2. The maximal N=4 supersymmetry is spontaneously broken to N=2. The masses of the two massive gravitinos depend on the (T,U) moduli of T^2. We evaluate the one-loop threshold corrections of gauge and R^2 couplings and we show that they fall in several universality classes, in contrast to what happens in usual K3 x T^2 compactifications, where the N=4 supersymmetry is explicitly broken to N=2, and where a single universality class appears. These universality properties follow from the structure of the elliptic genus. The behaviour of the threshold corrections as functions of the moduli is analysed in detail: it is singular across several rational lines of the T^2 moduli because of the appearance of extra massless states, and suffers only from logarithmic singularities at large radii. These features differ substantially from the ordinary K3 x T^2 compactifications, thereby reflecting the existence of spontaneously-broken N=4 supersymmetry. Although our results are valid in the general framework defined above, we also point out several properties, specific to orbifold constructions, which might be of phenomenological relevance.We analyse a class of four-dimensional heterotic ground states with N = 2 space-time supersymmetry. From the ten-dimensional perspective, such models can be viewed as compactifications on a six-dimensional manifold with SU (2) holonomy, which is locally but not globally K 3 × T 2 . The maximal N = 4 supersymmetry is spontaneously broken to N = 2. The masses of the two massive gravitinos depend on the ( T, U ) moduli of T 2 . We evaluate the one-loop threshold corrections of gauge and R 2 couplings and we show that they fall in several universality classes, in contrast to what happens in usual K 3 × T 2 compactifications, where the N = 4 supersymmetry is explicitly broken to N = 2, and where a single universality class appears. These universality properties follow from the structure of the elliptic genus. The behaviour of the threshold corrections as functions of the moduli is analysed in detail: it is singular across several rational lines of the T 2 moduli because of the appearance of extra massless states, and suffers only from logarithmic singularities at large radii. These features differ substantially from the ordinary K 3 × T 2 compactifications, thereby reflecting the existence of spontaneously broken N = 4 supersymmetry. Although our results are valid in the general framework defined above, we also point out several properties, specific to orbifold constructions, which might be of phenomenological relevance.We analyse a class of four-dimensional heterotic ground states with N=2 space-time supersymmetry. From the ten-dimensional perspective, such models can be viewed as compactifications on a six-dimensional manifold with SU(2) holonomy, which is locally but not globally K3 x T^2. The maximal N=4 supersymmetry is spontaneously broken to N=2. The masses of the two massive gravitinos depend on the (T,U) moduli of T^2. We evaluate the one-loop threshold corrections of gauge and R^2 couplings and we show that they fall in several universality classes, in contrast to what happens in usual K3 x T^2 compactifications, where the N=4 supersymmetry is explicitly broken to N=2, and where a single universality class appears. These universality properties follow from the structure of the elliptic genus. The behaviour of the threshold corrections as functions of the moduli is analysed in detail: it is singular across several rational lines of the T^2 moduli because of the appearance of extra massless states, and suffers only from logarithmic singularities at large radii. These features differ substantially from the ordinary K3 x T^2 compactifications, thereby reflecting the existence of spontaneously-broken N=4 supersymmetry. Although our results are valid in the general framework defined above, we also point out several properties, specific to orbifold constructions, which might be of phenomenological relevance.hep-th/9807067CERN-TH-97-44NEIP-97-007IOA-97-08LPTENS-97-11CPTH-S499-0397CPTH-S499.0397CERN-TH-97-044CPTH-S-499IOA-97-8LPT-ENS-97-11NEIP-97-007oai:cds.cern.ch:3594571998-07-10
spellingShingle Particle Physics - Theory
Kiritsis, E.
Kounnas, C.
Petropoulos, P.M.
Rizos, J.
String Threshold corrections in models with spondaneously broken supersymmetry
title String Threshold corrections in models with spondaneously broken supersymmetry
title_full String Threshold corrections in models with spondaneously broken supersymmetry
title_fullStr String Threshold corrections in models with spondaneously broken supersymmetry
title_full_unstemmed String Threshold corrections in models with spondaneously broken supersymmetry
title_short String Threshold corrections in models with spondaneously broken supersymmetry
title_sort string threshold corrections in models with spondaneously broken supersymmetry
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(98)00713-5
http://cds.cern.ch/record/359457
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