Intersecting D3-branes and holography

By N. Constable, Johanna Erdmenger, Z. Guralnik, I. Kirsch. 2002

147 citations recorded by the source corpus.

We study a defect conformal field theory describing D3-branes intersecting over two space-time dimensions. This theory admits an exact Lagrangian description which includes both two- and four-dimensional degrees of freedom, has (4,4) supersymmetry and is invariant under global conformal transformations. Both two- and four-dimensional contributions to the action are conveniently obtained in a two-dimensional (2,2) superspace. In a suitable limit, the theory has a dual description in terms of a probe D3-brane wrapping an AdS_3 x S^1 slice of AdS_5 x S^5. We consider the AdS/CFT dictionary for this set-up. In particular we find classical probe fluctuations corresponding to the holomorphic curve wy=c\alpha^{\prime}. These fluctuations are dual to defect fields containing massless two-dimensional scalars which parameterize the classical Higgs branch, but do not correspond to states in the Hilbert space of the CFT. We also identify probe fluctuations which are dual to BPS superconformal primary operators and to their descendants. A non-renormalization theorem is conjectured for the correlators of these operators, and verified to order g^2.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/16204e68b47289ed68e5abdccb2d93d8b89969aa

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. E. Witten
2. A. Karch
3. Johanna Erdmenger
4. Sergei Gukov
5. O. Aharony
6. C. Vafa
7. S. Giombi
8. D. Freedman

In Nuclear and High Energy Physics

1. E. Witten
2. Sergei Gukov
3. D. Gaiotto
4. N. Drukker
5. Marcos Mariño
6. C. Vafa
7. Johanna Erdmenger
8. S. Giombi

Citations in the corpus

• Mesons in gauge/gravity duals (2007, unknown): “explored in [129, 130, 131, 132, 133].”
• GUTs and exceptional branes in F-theory — II. Experimental predictions (2008, background): “Though the corresponding defect theories that live on the intersections of D-branes in Minkowski and Anti-de Sitter space have been studied for example in [33, 34, 35], little attention has been paid to their twisted relatives.”
• Gauge Theory, Ramification, And The Geometric Langlands Program (2006, background): “where special cases of the operators we consider can be constructed via intersecting branes [ 18 ], as we will describe in section 6.4.”
• A& B model approaches to surface operators and Toda thoeries (2010, methodology): “The brane realisation of a surface operator [63, 17] may be a useful tool.”
• Defects in conformal field theory (2016, background): “imensional operators, analogous to Wilson and ’t Hooft lines respectively, can be constructed in four dimensions. Again, lower dimensional defects also arise at brane intersections - see for instance [31]. Low energy examples of defects include vortices [32], magnetic-like impurities in spin systems”
• Chiral symmetry breaking and pions in nonsupersymmetric gauge / gravity duals (2004, background): “Examples of this [24, 25, 26, 27] were found by embedding a probe brane on an AdSd subspace of the full AdSD geometry, where d < D and the boundary of AdSd is part of the boundary of the AdSD.”
• Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals (2003, background): “Examples of this [24, 25, 26, 27] were found by embedding a probe brane on an AdSd subspace of the full AdSD geometry, where d < D and the boundary of AdSd is part of the boundary of the AdSD.”
• Supersymmetric Wilson loops on S**3. (2007, background): “These non-local operators, as well as surface operators (for example [77–79]) and domain walls [80] are much less studied than local operators but they have very interesting properties.”
• Defect conformal field theory and locally localized gravity (2003, background): “4 There are also examples of dCFTs with codimension bigger than 1, see for instance [ 21 ].”
• Probe branes, time-dependent couplings and thermalization in AdS/CFT (2010, unknown): “In the dual defect CFT this corresponds to a certain time-dependent coupling of the hypermultiplet fields with N = 4 vector multiplet fields [75–78].”
• 2d index and surface operators (2013, background): “Although the 4d supersymmetry doesn’t allow it, the (4, 4) supersymmetry algebra in (x0, x1) directions which is the only preserved supersymmetry algebra, does allow this term [46].”