What is the gravity dual of a chiral primary

By O. Lunin, Samir D. Mathur, A. Saxena. 2002

140 citations recorded by the source corpus.

Abstract In the AdS/CFT correspondence a chiral primary is described by a string theory solution with mass equaling angular momentum. For AdS 3 × S 3 we are led to consider three special families of metrics with this property: metrics with conical defects, Aichelburg–Sexl type metrics generated by rotating particles, and metrics generated by giant gravitons. We find that the first two of these are special cases of the complete family of chiral primary metrics which can be written down using the general solution in hep-th/0109154 , but they correspond to two extreme limits—the conical defect metrics map to CFT states generated by twist operators that are all identical, while the Aichelburg–Sexl metrics yield a wide dispersion in the orders of these twists. The giant graviton solutions in contrast do not represent configurations of the D1–D5 bound state; they correspond to fragmenting this system into two or more pieces. We look at the large distance behavior of the supergravity fields and observe that the excitation of these fields is linked to the existence of dispersion in the orders and spins of the twist operators creating the chiral primary in the CFT.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/52032937adb1dd8e7921352973e625be82d592b0

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In Astronomy and Astrophysics

1. N. Warner
2. I. Bena
3. Marika Taylor
4. S. Raju
5. Kostas Skenderis
6. V. Hubeny
7. J. Boer
8. M. Rangamani

In Nuclear and High Energy Physics

1. N. Warner
2. I. Bena
3. Marika Taylor
4. Kostas Skenderis
5. S. Raju
6. V. Hubeny
7. S. El-Showk
8. J. Boer

In Statistical and Nonlinear Physics

1. N. Warner
2. I. Bena
3. S. Raju
4. Marika Taylor
5. Kostas Skenderis
6. S. El-Showk
7. I. Messamah
8. J. Boer

Citations in the corpus

• An infalling observer in AdS/CFT (2012, background): “It is useful to consider the example of 2-charge solutions [5, 4] which can be identified with the Ramond ground states of the D1−D5 CFT.”
• Supersymmetric black rings and three-charge supertubes (2004, background): “at the non-singular, horizon-free supergravity solutions describing these objects are in one-to-one correspondence with the Ramond-sector ground states of the supersymmetric D1-D5 string intersection [9, 10, 11]. It has been conjectured that supergravity solutions for three-charge supertubes might s”
• Fuzzballs with internal excitations (2007, background): “1 Introduction Over the last few years an interesting new proposal for the gravitational nature of black hole microstates has emerged [1, 2, 3]; see also [4, 5, 6], and [7].”
• Lessons from the information paradox (2020, background): “These solutions are called “microstate geometries”, and large and interesting classes of these solutions have been found, starting with [227, 228], and including the recent multi-charge solutions [229–231].”
• Habemus superstratum! A constructive proof of the existence of superstrata (2015, background): “All two-charge D1-D5 microstates have been constructed in [18,20,56,57] and are associated with a closed curve in R(8), gA(v) (A = 1, .”
• The fuzzball proposal for black holes (2008, methodology): “This is the fuzzball proposal for black holes, formulated in works of Mathur and collaborators in [11, 12, 13, 14].”
• Holographic anatomy of fuzzballs (2006, methodology): “over the last few years [1, 2 , 3]; see also [4, 5, 6], and [7] for a review.”
• Gravity solutions for the D1-D5 system with angular momentum (2002, background): “11)reduce to the ones for the solution corresponding to a ring of rotating particles [18,2].”
• Quantizing N = 2 multicenter solutions (2008, background): “This latter statement is the essence of the fuzzball proposal [10, 11, 12, 13].”
• Black hole bound states in AdS(3) x S**2 (2008, background): “Originally, these were thought not to give rise to BPS states [69] because, unlike in other dimensions, their radial position is a free parameter.”
• One Ring to Rule Them All ... and in the Darkness Bind Them (2004, methodology): “As in the D1-D5 system [1], it should be possible to find the microstate geometries that account for this entropy.”