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Antide Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories
 Adv. Theor. Math. Phys
, 1998
"... The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of N = 4 super YangMills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Antide Sitter space. In this description, quantum phenome ..."
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Cited by 1083 (3 self)
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phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale “holographically ” with the volume of its horizon
ODD PRIMARY DECOMPOSITIONS OF GAUGE GROUPS
"... Abstract. We construct plocal decompositions of certain gauge groups when p is an odd prime. Specifically, we decompose SU(n), Sp(n) and Spin(n)gauge groups over simplyconnected 4 manifolds and U(n)gauge groups over compact, orientable Riemann surfaces, given certain restrictions on n that depen ..."
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Abstract. We construct plocal decompositions of certain gauge groups when p is an odd prime. Specifically, we decompose SU(n), Sp(n) and Spin(n)gauge groups over simplyconnected 4 manifolds and U(n)gauge groups over compact, orientable Riemann surfaces, given certain restrictions on n
Orthogonal Schurs for Classical Gauge Groups
 JHEP
"... Finite N physics of halfBPS operators for gauge groups SO(N) and Sp(N) has recently been studied[1, 2]. Among other things they showed that, alike U(N), Schur operators (but in the square of their eigenvalues) diagonalize the free field twopoint function of halfBPS operators for SO(N) and Sp(N) g ..."
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Finite N physics of halfBPS operators for gauge groups SO(N) and Sp(N) has recently been studied[1, 2]. Among other things they showed that, alike U(N), Schur operators (but in the square of their eigenvalues) diagonalize the free field twopoint function of halfBPS operators for SO(N) and Sp
The Connected Components of two Gauge Groups.
, 1996
"... We calculate the connected components of the Gauge group of a Z/2 equivariant oriented 3plane bundle and a related 4plane bundle over the antipodal 3sphere. This suggests that an obstruction which has earlier been claimed to vanish, does not necessarily do so. Key words and phrases: Obstructi ..."
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We calculate the connected components of the Gauge group of a Z/2 equivariant oriented 3plane bundle and a related 4plane bundle over the antipodal 3sphere. This suggests that an obstruction which has earlier been claimed to vanish, does not necessarily do so. Key words and phrases
with Arbitrary Simple Gauge Group
, 1998
"... We show that the BPS configurations of uniform field strength can be interpreted as those for sheets of infinite number of BPS magnetic monopoles, and found that the number of normalizable zero modes per each magnetic monopole charge is four. We identify monopole sheets as the intersecting planes of ..."
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We show that the BPS configurations of uniform field strength can be interpreted as those for sheets of infinite number of BPS magnetic monopoles, and found that the number of normalizable zero modes per each magnetic monopole charge is four. We identify monopole sheets as the intersecting planes of D3 branes. Similar analysis on selfdual instanton configurations is worked out and the number of zero modes per each instanton number is found to match that of single isolated instanton. 1 Electronic Mail: kimyeong@phya.snu.ac.eduThere has been some interest in BPS field configuration with uniform magnetic field [1]. This background field exerts no force on isolated BPS monopoles as the repulsive magnetic force cancels the attractive Higgs force. Thus there is a possibility of BPS configuration of an isolated monopole in such background, which has been explored recently [2]. Besides this, there has been a long standing interest in similar uniform configuration of four dimensional selfdual equation of YangMills theories [3]. This configuration is known to be stable and the zero modes of this configuration has been explored to understand the quantum correction to the effective action.
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