Heterotic Strings with Torsion

By K. Becker, Keshav Dasgupta. 2002

142 citations recorded by the source corpus.

In this paper we describe the heterotic dual of the type-IIB theory compactified to four dimensions on a toroidal orientifold in the presence of fluxes. The type-IIB background is most easily described in terms of an -theory compactification on a four-fold. The heterotic dual is obtained by performing a series of U-dualities. We argue that these dualities preserve supersymmetry and that the supergravity description is valid after performing them. The heterotic string is compactified on a manifold that is no longer Kahler and has torsion. These manifolds have to satisfy a number of constraints, for example, existence of an holomorphic three-form, size limits, torsional equations etc. We give an explicit form of the background and study the constraints associated to them.

Subfields: Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/44f5fad357145cc7425f383606b9db090e707b1f

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In Mathematical Physics

1. D. Lust
2. Ralph Blumenhagen
3. D. Waldram
4. T. Weigand
5. Anna Fino
6. S. Trivedi
7. B. Kors
8. G. Grantcharov

In Nuclear and High Energy Physics

1. D. Lust
2. M. Graña
3. Ralph Blumenhagen
4. D. Waldram
5. B. Wecht
6. J. Louis
7. Thomas W. Grimm
8. T. Weigand

Citations in the corpus

• Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory (2006, background): “As discussed in [12], the gauge fields can be traced back to the G-flux in M-theory.”
• Calabi-Yau connections with torsion on toric bundles (2003, methodology): “t was considered first by A. Strominger [40] and C. Hull [31]. More recently CYT structures on non-Ka¨hler manifolds attracted attention as models for string compactifications. Many examples were found [2] [3] [13] [14] [24] ∗Address: Department of Mathematics, San Jos´e State University, San Jos´e, C”
• BPS Action and Superpotential for Heterotic String Compactifications with Fluxes (2003, background): “The only examples discussed in the literature so far were obtained by applying duality transformations to type II or M–theory solutions [6, 33, 38, 44, 45].”
• Chiral 4d string vacua with D branes and NSNS and RR fluxes (2003, unknown): “[26] for applications to heterotic compactification.”
• Properties of manifolds with skew-symmetric torsion and special holonomy (2004, background): “More recently SUð3Þ-structures on nonKähler manifolds have attracted attention as more general models for string compactifications and many examples have been found: [3,4,7,15,16].”
• Loop-corrected compactifications of the heterotic string with line bundles (2005, background): “Moreover, one could try to freeze some of the complex structure and bundle moduli by turning on some background H-flux [20,56,57].”
• Constructing nongeometric vacua in string theory (2004, background): “Let us recall some of the relevant facts: The supersymmetry transformations of the gravitino Ψμα and dilatino λα in type II supergravity are [11,12],”
• Compactifications of heterotic strings on non-Kähler complex manifolds II (2003, methodology): “The fact, that the background given in [14],[15],[17] and [18] satisfies the torsional equation has been shown explicitly in [15] without the gauge fields and in [17] with the gauge fields.”
• Mirror symmetry in generalized Calabi–Yau compactifications ☆ (2002, background): “Since in both cases one wants N = 2 supersymmetry in four dimensions, the class of manifolds discussed in [19,20,21,30,37,40,41] are also manifolds with SU(3) structure.”
• Superstrings with intrinsic torsion (2003, background): “It would also be interesting to relate our compactifications to those of [49, 50, 51].”
• New supersymmetric string compactifications (2002, background): “appeared in [ 34 ] (and earlier work in this direction appeared in [27,5]).”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “More and also subsequent work on that subject can be found in [142, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541].”
• Duality twists, orbifolds, and fluxes (2002, background): “As a result, the expectation values of the moduli fields are fixed at the minima of the potential and many moduli acquire mass [1]–[29].”
• Compactification with Flux on K3 and Tori (2003, background): “Before closing let us note that heterotic compactifications with H3 flux have been considered in [40,36,22,33,24].”
• Geometric Model for Complex Non-Kähler Manifolds with SU (3) Structure (2002, background): “[2, 3] for detailed discussion and further references), and in the heterotic string theory compactifications with non-zero background torsion H (see e.g. [10, 1 , 4]).”