Fivebranes from gauge theory

By Hai Lin, J. Maldacena. 2005

214 citations recorded by the source corpus.

We study theories with 16 supercharges and a discrete energy spectrum. One class of theories has symmetry group SU(2|4). They arise as truncations of N=4 super Yang-Mills theory. They include the plane-wave matrix model, 2+1 super Yang-Mills theory on RxS{sup 2} and N=4 super Yang-Mills theory on RxS{sup 3}/Z{sub k}. We explain how to obtain their gravity duals in a unified way. We explore the regions of the geometry that are relevant for the study of some 1/2 BPS and near BPS states. This leads to a class of two dimensional (4,4) supersymmetric sigma models with nonzero H flux, including a massive deformed WZW model. We show how to match some features of the string spectrum with the Yang-Mills theory. The other class of theories are also connected to N=4 super Yang-Mills theory and arise by making some of the transverse scalars compact. Their vacua are characterized by a 2D Yang-Mills theory or 3D Chern-Simons theory. These theories realize peculiar super-Poincare symmetry algebras in 2+1 or 1+1 dimensions with ''noncentral'' charges. We finally discuss gravity duals of N=4 super Yang-Mills theory on AdS{sub 3}xS{sup 1}.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fa52aabff1021c40c676f50705364673ebcc7cbd

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In Astronomy and Astrophysics

1. T. Takayanagi
2. J. Maldacena
3. S. Raju
4. T. Nishioka
5. D. Harlow
6. O. Aharony
7. S. Giombi
8. F. Benini

In Nuclear and High Energy Physics

1. D. Gaiotto
2. J. Maldacena
3. F. Benini
4. E. Witten
5. T. Takayanagi
6. S. Giombi
7. T. Nishioka
8. S. Raju

Citations in the corpus

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals (2008, methodology): “uperpotential (which is just (2.3) for this special case) W= 2π k Tr(AiBiAjBj− BiAiBjAj) = 4π k Tr(A 1B 1A 2B 2 − A 1B 2A 2B 1). (2.5) 3 Theories with N = 4 but a modified superalgebra were written in [17]. 5 As described above, we can obtain this theory by starting from the 2 + 1 dimensional N = 4 g”
• On gravitational description of Wilson lines (2006, background): “(11)It is interesting to observe that the boundary conditions on surfaces similar to ones depicted in figure 3b were encountered in a description of BPS geometries in M theory [24].”
• Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “12 This same renormalization is responsible for the complicated boundary conditions that one finds in Mtheory bubbling geometries [92].”
• An Index for 4 Dimensional Super Conformal Theories (2005, methodology): “The representation theory of this group was studied in [22,23] and the index was used in [24] to analyze various field theories with this symmetry.”
• Rigid Surface Operators (2008, background): “Following [26, 27], we call these bubbling geometries.”
• On type IIA Penrose limit and = 6 Chern-Simons theories (2008, result): “We will also notice that in the ABJM theory, we can define a BMN-like operator and we will compute its anomalous dimension to leading order of the effective (3)The same plane-wave also appears in the study of the gravity dual of a 2+1 super Yang-Mills with SU(2|4) symmetry [50], where the string spe”
• Deformations of superconformal theories (2016, background): “To see this, we follow [52] and consider a massless particle with lightcone momentum P+ = E and P− = P3 = 0, on which (4.”
• The su(2|2) dynamic S-matrix (2005, background): “In theexcitation picturethism ightappearnotto be a problem as the num ber ofexcitations is preserved,but even there one nds avour uctuationswhich m ay appearproblem atic[13].”
• 4d Index to 3d Index and 2d TQFT (2011, background): “Here L(p, q), where p, q are coprime (1)The index of N = 4 super-Yang-Mills on S(1) × S(3)/Zp was studied in [16, 17].”
• Spin Chains in N = 6 Superconformal Chern-Simons-Matter Theory (2008, background): “A similar phenomenon was observed in [29].”
• SUPERCONFORMAL FIELD THEORIES (2005, unknown): “Similarly one can use the (1)In the course of this work related work has been published [6].”
• A Massive Study of M2-brane Proposals (2008, background): “[48] for the explicit form of the algebra.”