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Liouville Correlation Functions from Four-Dimensional Gauge Theories

- L. Alday, D. Gaiotto, Yuji Tachikawa
- Physics, Mathematics
- 17 June 2009

We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class… Expand

Notes on the K3 Surface and the Mathieu Group M 24

- T. Eguchi, H. Ooguri, Yuji Tachikawa
- Mathematics, Computer ScienceExp. Math.
- 6 April 2010

We point out that the elliptic genus of the K3 surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group M 24. The reason remains a… Expand

Comments on string theory backgrounds with non-relativistic conformal symmetry

- J. Maldacena, D. Martelli, Yuji Tachikawa
- Physics
- 7 July 2008

We consider non-relativistic conformal quantum mechanical theories that arise by doing discrete light cone quantization of field theories. If the field theory has a gravity dual, then the conformal… Expand

Reading between the lines of four-dimensional gauge theories

- O. Aharony, N. Seiberg, Yuji Tachikawa
- Physics
- 2 May 2013

A bstractStarting with a choice of a gauge group in four dimensions, there is often freedom in the choice of magnetic and dyonic line operators. Different consistent choices of these operators… Expand

Loop and surface operators in $ \mathcal{N} = 2 $ gauge theory and Liouville modular geometry

- L. Alday, D. Gaiotto, S. Gukov, Yuji Tachikawa, H. Verlinde
- Physics
- 6 September 2009

Recently, a duality between Liouville theory and four dimensional $ \mathcal{N} = 2 $ gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory,… Expand

Elliptic Genera of Two-Dimensional $${\mathcal{N} = 2}$$N=2 Gauge Theories with Rank-One Gauge Groups

- F. Benini, R. Eager, K. Hori, Yuji Tachikawa
- Mathematics, Physics
- 2 May 2013

We compute the elliptic genera of two-dimensional $${\mathcal{N} = (2, 2)}$$N=(2,2) and $${\mathcal{N} = (0, 2)}$$N=(0,2) -gauged linear sigma models via supersymmetric localization, for rank-one… Expand

Exactly marginal deformations and global symmetries

- D. Green, Z. Komargodski, N. Seiberg, Yuji Tachikawa, B. Wecht
- Physics
- 19 May 2010

We study the problem of finding exactly marginal deformations of $ \mathcal{N} = 1 $ superconformal field theories in four dimensions. We find that the only way a marginal chiral operator can become… Expand

Central charges of N=2 superconformal field theories in four dimensions

- A. Shapere, Yuji Tachikawa
- Physics
- 14 April 2008

We present a general method for computing the central charges a and c of N=2 superconformal field theories corresponding to singular points in the moduli space of N=2 gauge theories. Our method… Expand

Anomaly polynomial of general 6D SCFTs

- K. Ohmori, Hiroyuki Shimizu, Yuji Tachikawa, Kazuya Yonekura
- Physics
- 24 August 2014

We describe a method to determine the anomaly polynomials of general 6d N=(2,0) and N=(1,0) SCFTs, in terms of the anomaly matching on their tensor branches. This method is almost purely field… Expand

Webs of five-branes and = 2 superconformal field theories

- F. Benini, S. Benvenuti, Yuji Tachikawa
- Physics
- 2 June 2009

We describe configurations of 5-branes and 7-branes which realize, when compactified on a circle, new isolated four-dimensional = 2 superconformal field theories recently constructed by Gaiotto. Our… Expand

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