Liouville Correlation Functions from Four-Dimensional Gauge Theories
- L. Alday, D. Gaiotto, Yuji Tachikawa
- 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…
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…
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…
Notes on the K3 Surface and the Mathieu Group M 24
- T. Eguchi, H. Ooguri, Yuji Tachikawa
- MathematicsExperimental Mathematics
- 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…
Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
- Oscar Chacaltana, J. Distler, Yuji Tachikawa
- Mathematics
- 13 March 2012
We study the local properties of a class of codimension-2 defects of the 6d N=(2,0) theories of type J=A,D,E labeled by nilpotent orbits of a Lie algebra \mathfrak{g}, where \mathfrak{g} is…
Elliptic Genera of Two-Dimensional $${\mathcal{N} = 2}$$N=2 Gauge Theories with Rank-One Gauge Groups
- F. Benini, Richard Eager, K. Hori, Yuji Tachikawa
- Mathematics
- 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…
Anomaly polynomial of general 6D SCFTs
- K. Ohmori, Hiroyuki Shimizu, Yuji Tachikawa, Kazuya Yonekura
- Geology
- 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…
Central charges of 𝒩 = 2 superconformal field theories in four dimensions
- A. Shapere, Yuji Tachikawa
- PhysicsJournal of High Energy 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…
Exactly marginal deformations and global symmetries
- D. Green, Z. Komargodski, N. Seiberg, Yuji Tachikawa, B. Wecht
- Mathematics
- 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…
Elliptic Genera of Two-Dimensional N = 2 Gauge Theories with Rank-One Gauge Groups
- F. Benini, Richard Eager, K. Hori, Yuji Tachikawa
- Mathematics, Physics
- 2014
. We compute the elliptic genera of two-dimensional N = ( 2 , 2 ) and N = ( 0 , 2 ) - gauged linear sigma models via supersymmetric localization, for rank-one gauge groups. The elliptic genus is…
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