D-brane probes, RR tadpole cancellation and K theory charge

By A. Uranga. 2000

186 citations recorded by the source corpus.

Abstract We study RR charge cancellation consistency conditions in string compactifications with open string sectors, by introducing D-brane probes in the configuration. We show that uncancelled charges manifest as chiral gauge anomalies in the world-volume of suitable probes. RR tadpole cancellation can therefore be described as the consistency of the effective compactified theory not just in the vacuum, but also in all topological sectors (presence of D-brane probes). The result explains why tadpole cancellation is usually much stronger than anomaly cancellation of the compactified theory (in the vacuum sector). We use the probe criterion to construct consistent six-dimensional orientifolds of curved K3 spaces, where usual CFT techniques to compute tadpoles are not valid. As a last application, we consider compactifications where standard RR charge cancels but full K-theory charge does not. We show the inconsistency of such models manifests as a global gauge anomaly on the world-volume of suitable probes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8de6968ff769b769e724de39ef49ba0aea838793

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Ralph Blumenhagen
2. Gary Shiu
3. F. Marchesano
4. Eran Palti
5. D. Lust
6. T. Weigand
7. Thomas W. Grimm
8. F. Quevedo

In Nuclear and High Energy Physics

1. Ralph Blumenhagen
2. Eran Palti
3. T. Weigand
4. D. Lust
5. F. Marchesano
6. Thomas W. Grimm
7. Gary Shiu
8. M. Cvetič

Citations in the corpus

• Getting just the standard model at intersecting branes (2001, background): “expressed in a very simple way: the sum of the cycles where the branes are living must vanish [ 24 , 3]:”
• D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, methodology): “We check this, by using the probe argument presented in [44]: such charges are cancelled if, in the given set-up, every invariant SU(2) probe brane has an even number of fields in the fundamental representation [45].”
• Orientifolds, hypercharge embeddings and the Standard Model (2006, background): “All solutions that we present also satisfy the probe brane constraints for the absence of global anomalies [30], as discussed in [31] for this class of models.”
• Building an explicit de Sitter (2012, background): “u 4P 12+u 5u 2 4 P 6+u 3 4 . The factorization of the polynomial P 18;4 is enforced by its weights. The Hodge numbers of X 3 are h 1; = 2 and h2;1 = 272. 5According to the probe argument presented in [68], such charges are cancelled in a given set-up if any probe invariant D7-brane with gauge group ”
• Chiral D-brane Models with Frozen Open String Moduli (2005, methodology): “In the Appendix, however, we deduce them for a wide class of Z2 × Z2 models, by using the Dbrane probe arguments of [81].”
• Chiral 4d string vacua with D branes and NSNS and RR fluxes (2003, background): “s wrapped on some T2 in the presence of O3-planes is classified by a real K-theory group which is Z2. This statement is T-dual to the fact that D7-brane charge is Z2 valued in type I theory. Following [31] RR tadpole cancellation requires cancellation of the K-theory D-brane charge. Hence the total i”
• Building MSSM flux vacua (2004, methodology): “However, as pointed out in [21], this is not sufficient to ensure that the models are consistent because D-brane charges are classified by K-theory groups, rather than homology groups [22].”
• TOWARD REALISTIC INTERSECTING D-BRANE MODELS (2005, background): “The inconsistencies due to uncanceled K-theory charges would show up as discrete global anomalies [45] either in the low energy spectrum or on the world-volume of a probe D-brane [44].”
• Simple de Sitter solutions (2007, background): “However, for D-branes in this kind of situation, one does find that K-theory charges must be cancelled in compact manifolds [48], and a similar constraint may arise in the present case.”
• One in a Billion: MSSM-like D-Brane Statistics (2005, methodology): “Although the tadpole cancellation condition ensures the absence of cubic non-abelian gauge anomalies and mixed and cubic abelian gauge anomalies are cancelled by a generalized Green-Schwarz mechanism, there exists one further model building constraint [41] due to a Z2-valued conserved quantity, the ”
• Yukawa couplings in intersecting D-brane models (2003, background): “Hence, RR tadpoles amount to imposing that the sum of homology classes add up to zero [27]”
• GUTs in Type IIB Orientifold Compactifications (2008, background): “However, according to the probe brane argument of [59] cancellation of torsion charges is equivalent to absence of a global SU(2) Witten anomaly on the worldvolume of every probe brane supporting symplectic Chan-Paton factors.”
• SUSY Quivers, Intersecting Branes and the Modest Hierarchy Problem (2002, background): “Namely, the sum of the homology cycles where the branes wrap must add up to zero [10, 17]”
• D-brane Deconstructions in IIB Orientifolds (2008, background): “A sampling of papers on this topic is [90, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 117, 118, 119].”