Publications
113 results found
Oz Y, Waldram D, Pantev T, 2001, Brane-antibrane systems on Calabi-Yau spaces, Journal of High Energy Physics, Vol: 5, ISSN: 1029-8479
We propose a correspondence between brane-antibrane systems and stable triples (E1, E2, T), where E1, E2 are holomorphic vector bundles and the tachyon T is a map between them. We demonstrate that, under the assumption of holomorphicity, the brane-antibrane field equations reduce to a set of vortex equations, which are equivalent to the mathematical notion of stability of the triple. We discuss some examples and show that the theory of stable triples suggests a new notion of BPS bound states and stability, and curious relations between brane-antibrane configurations and wrapped branes in higher dimensions.
Donagi R, Ovrut BA, Pantev T, et al., 2001, Standard-model bundles, Advances in Theoretical and Mathematical Physics, Vol: 5, Pages: 563-615, ISSN: 1095-0761
We describe a family of genus one fibered Calabi-Yau threefolds with fundamental group Z/2. On each Calabi-Yau Z in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the Standard Model group SU(3) × SU(2) × U(1) and which have c3 = 6. We also show that for each bundle V in our family, c2(Z) - c2(V ) is the class of an effective curve on Z. These conditions ensure that Z and V can be used for a phenomenologically relevant compactification of Heterotic M-theory.
Donagi R, Ovrut BA, Pantev T, et al., 2001, Spectral involutions on rational elliptic surfaces, Advances in Theoretical and Mathematical Physics, Vol: 5, Pages: 499-561, ISSN: 1095-0761
In this paper we describe a four dimensional family of special rational elliptic surfaces admitting an involution with isolated fixed points. For each surface in this family we calculate explicitly the action of a spectral version of the involution (namely of its Fourier-Mukai conjugate) on global line bundles and on spectral data. The calculation is carried out both on the level of cohomology and in the derived category. We find that the spectral involution behaves like a fairly simple affine transformation away from the union of those fiber components which do not intersect the zero section. These results are the key ingredient in the construction of Standard-Model bundles in [DOPWa].
Donagi R, Ovrut BA, Pantev T, et al., 2001, Standard model bundles on nonsimply connected Calabi-Yau threefolds, JHEP, Vol: 0108
Gauntlett JP, Kim N, Waldram D, 2001, M Five-branes wrapped on supersymmetric cycles, Phys.Rev., Vol: D63, Pages: 126001-126001
Gauntlett JP, Kim N, Martelli D, et al., 2001, Five-branes wrapped on SLAG three cycles and related geometry, JHEP, Vol: 0111, Pages: 018-018
Donagi R, Ovrut B, Pantev T, et al., 2001, Spectral involutions on rational elliptic surfaces, Advances in Theoretical and Mathematical Physics, Vol: 5, Pages: 499-562, ISSN: 1095-0761
Khoury J, Steinhardt PJ, Waldram D, 2001, Inflationary solutions in the brane world and their geometrical interpretation, Phys.Rev., Vol: D63, Pages: 103505-103505
Gauntlett JP, Kim N, Martelli D, et al., 2001, Wrapped five-branes and N=2 superYang-Mills theory, Phys.Rev., Vol: D64, Pages: 106008-106008
Oz Y, Pantev T, Waldram D, 2001, Brane anti-brane systems on Calabi-Yau spaces, JHEP, Vol: 0102, Pages: 045-045
Donagi R, Ovrut BA, Pantev T, et al., 2000, Nonperturbative vacua in heterotic M theory, Class.Quant.Grav., Vol: 17, Pages: 1049-1056
Lukas A, Ovrut BA, Waldram D, 2000, Heterotic M theory vacua with five-branes, Fortsch. Phys., Vol: 48, Pages: 167-170
Huey G, Steinhardt PJ, Ovrut BA, et al., 2000, A Cosmological mechanism for stabilizing moduli, Phys. Lett. B, Vol: 476, Pages: 379-386
Lukas A, Ovrut BA, Stelle KS, et al., 1999, Heterotic M theory in five-dimensions, Nuclear Physics B, Vol: B552, Pages: 246-290, ISSN: 0550-3213
We derive the five-dimensional effective action of strongly coupled heterotic string theory for the complete (1,1) sector of the theory by performing a reduction, on a Calabi-Yau three-fold, of M-theory on S1/Z2. A crucial ingredient for a consistent truncation is a non-zero-mode of the antisymmetric tensor field strength which arises due to magnetic sources on the orbifold planes. The correct effective theory is a gauged version of five-dimensional N = 1 supergravity coupled to Abelian vector multiplets, the universal hypermultiplet and four-dimensional boundary theories with gauge and gauge matter fields, The gauging is such that the dual of the four-form field strength in the universal multiplet is charged under a particular linear combination of the Abelian vector fields. In addition, the theory has potential terms for the moduli in the bulk as well as on the boundary. Because of these potential terms, the supersymmetric ground state of the theory is a multi-charged BPS three-brane domain wall, which we construct in general. We show that the five-dimensional theory together with this solution provides the correct starting point for particle phenomenology as well as early universe cosmology. As an application, we compute the four-dimensional N = 1 supergravity theory for the complete (1, 1) sector to leading non-trivial order by a reduction on the domain wall background. We find a correction to the matter field Kähler potential and threshold corrections to the gauge kinetic functions.
Lukas A, Ovrut BA, Waldram D, 1999, Nonstandard embedding and five-branes in heterotic M theory, Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol: 59, Pages: 1-17, ISSN: 0556-2821
We construct vacua of M theory on S1/Z2 associated with Calabi-Yau threefolds. These vacua are appropriate for compactification to script N=1 supersymmetry theories in both four and five dimensions. We allow for general E8×E8 gauge bundles and for the presence of five-branes. The five-branes span the four-dimensional uncompactified space and are wrapped on holomorphic curves in the Calabi-Yau manifold. Properties of these vacua, as well as of the resulting low-energy theories, are discussed. We find that the low-energy gauge group is enlarged by gauge fields that originate on the five-brane world-volumes. In addition, the five-branes increase the types of new E8×E8 breaking patterns allowed by the non-standard embedding. Characteristic features of the low-energy theory, such as the threshold corrections to the gauge kinetic functions, are significantly modified due to the presence of the five-branes, as compared to the case of standard or non-standard embeddings without five-branes. ©1999 The American Physical Society.
Lukas A, Ovrut BA, Stelle KS, et al., 1999, The Universe as a domain wall, Physical Review D: Particles, Fields, Gravitation and Cosmology, Vol: D59, Pages: 086001-1-086001-9, ISSN: 1550-2368
It is shown that the effective five-dimensional theory of the strongly coupled heterotic string is a gauged version of N=1 five-dimensional supergravity with four-dimensional boundaries. For the universal supermultiplets, this theory is explicitly constructed by a generalized dimensional reduction procedure on a Calabi-Yau manifold. A crucial ingredient in the reduction is the retention of a “non-zero mode” of the four-form field strength, leading to the gauging of the universal hypermultiplet by the graviphoton. We show that this theory has an exact three-brane domain wall solution which reduces to Witten’s “deformed” Calabi-Yau background upon linearization. This solution consists of two parallel three-branes with sources provided by the four-dimensional boundary theories and constitutes the appropriate background for a reduction to four dimensions. Four-dimensional space-time is then identified with the three-brane world volume.
Donagi R, Lukas A, Ovrut BA, et al., 1999, Holomorphic vector bundles and non-perturbative vacua in M-theory, Journal of High Energy Physics, Vol: 3, ISSN: 1029-8479
We review the spectral cover formalism for constructing both U(n) and SU(n) holomorphic vector bundles on elliptically fibered Calabi-Yau three-folds which admit a section. We discuss the allowed bases of these three-folds and show that physical constraints eliminate Enriques surfaces from consideration. Relevant properties of the remaining del Pezzo and Hirzebruch surfaces are presented. Restricting the structure group to SU(n), we derive, in detail, a set of rules for the construction of three-family particle physics theories with phenomenologically relevant gauge groups. We show that anomaly cancellation generically requires the existence of non-perturbative vacua containing five-branes. We illustrate these ideas by constructing four explicit three-family non-perturbative vacua.
Donagi R, Lukas A, Ovrut BA, et al., 1999, Non-perturbative vacua and particle physics in M-theory, Journal of High Energy Physics, Vol: 3, ISSN: 1029-8479
In this letter, we introduce a general theory for the construction of particle physics theories, with three families and realistic gauge groups, within the context of heterotic M-theory. This is achieved using semi-stable holomorphic gauge bundles over elliptically fibered Calabi-Yau three-folds. Construction of realistic theories is facilitated by the appearance of non-perturbative five-branes in the vacuum. The complete moduli space of these five-branes is computed and their worldvolume gauge theory discussed. In the context of holomorphic gauge bundles, it is shown how grand unified gauge groups can be spontaneously broken to the gauge group of the standard model. These ideas are illustrated in an explicit SU(5) three-family example.
Donagi R, Ovrut BA, Waldram D, 1999, Moduli spaces of fivebranes on elliptic Calabi-Yau threefolds, Journal of High Energy Physics, Vol: 3, ISSN: 1029-8479
We present a general method for calculating the classical moduli spaces of fivebranes wrapped on holomorphic curves in elliptically fibered Calabi-Yau threefolds, in particular, in the context of heterotic M-theory. The cases of fivebranes wrapped purely on a fiber curve, purely on a curve in the base and, generically, on a curve with components both in the fiber and the base are each discussed in detail. The number of irreducible components of the fivebrane and their properties, such as their intersections and phase transitions in moduli space, follow from the analysis. Even though generic curves have a large number of moduli, we show that there are isolated curves that have no moduli associated with the Calabi-Yau threefold. We present several explicit examples, including cases which correspond to potentially realistic three family models with grand unified gauge group SU(5).
Lukas A, Ovrut BA, Waldram D, 1999, Five-branes and supersymmetry breaking in M-theory, Journal of High Energy Physics, Vol: 3, ISSN: 1029-8479
Supersymmetry breaking via gaugino condensation is studied in vacua of heterotic M-theory with five-branes. We show that supersymmetry is still broken by a global mechanism and that the non-perturbative superpotential takes the standard form. When expressed in terms of low energy fields, a modification arises due to a threshold correction in the gauge kinetic function that depends on five-brane moduli. We also determine the form of the low energy matter field Kahler potential. These results are used to discuss the soft supersymmetry breaking parameters, in particular the question of universality.
Donagi R, Lukas A, Ovrut BA, et al., 1999, Holomorphic vector bundles and nonperturbative vacua in M theory, JHEP, Vol: 9906, Pages: 034-034
Lukas A, Ovrut BA, Waldram D, 1999, The Ten-dimensional effective action of strongly coupled heterotic string theory, Nucl.Phys., Vol: B540, Pages: 230-246-230-246
Donagi R, Lukas A, Ovrut BA, et al., 1999, Nonperturbative vacua and particle physics in M theory, JHEP, Vol: 9905, Pages: 018-018
Donagi R, Ovrut BA, Waldram D, 1999, Moduli spaces of five-branes on elliptic Calabi-Yau threefolds., JHEP, Vol: 9911
Lukas A, Ovrut BA, Waldram D, 1999, Nonstandard embedding and five-branes in heterotic M theory, Phys.Rev., Vol: D59, Pages: 106005-106005
Lukas A, Ovrut BA, Waldram D, 1999, Five-branes and supersymmetry breaking in M theory, JHEP, Vol: 9904, Pages: 009-009
Lukas A, Ovrut BA, Waldram D, 1999, Cosmological solutions of Horava-Witten theory, Phys.Rev., Vol: D60, Pages: 086001-086001
Ramgoolam S, Waldram D, 1998, Zero-branes on a compact orbifold, Journal of High Energy Physics, Vol: 1998, ISSN: 1029-8479
The non-commutative algebra which defines the theory of zero-branes on T4/Z2 allows a unified description of moduli spaces associated with zero-branes, 2-branes and four-branes on the orbifold space. Bundles on a dual space TĚ‚4/Z2 play an important role in this description. We discuss these moduli spaces in the context of dualities of K3 compactifications, and in terms of properties of instantons on T4. Zero-branes on the degenerate limits of the compact orbifold lead to fixed points with 6-dimensional scale but not conformal invariance. We identify some of these in terms of the ADS dual of the (0, 2) theory at large N, giving evidence for an interesting picture of "where the branes live" in ADS.
Lukas A, Ovrut BA, Waldram D, 1998, Cosmology and heterotic M theory in five-dimensions
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