1,004 research outputs found
A prediction for bubbling geometries
We study the supersymmetric circular Wilson loops in N=4 Yang-Mills theory.
Their vacuum expectation values are computed in the parameter region that
admits smooth bubbling geometry duals. The results are a prediction for the
supergravity action evaluated on the bubbling geometries for Wilson loops.Comment: 21 pages, latex; v.2 reference added; v.3 minor correction
M2-Branes and Background Fields
We discuss the coupling of multiple M2-branes to the background 3-form and
6-form gauge fields of eleven-dimensional supergravity, including the coupling
of the Fermions. In particular we show in detail how a natural generalization
of the Myers flux-terms, along with the resulting curvature of the background
metric, leads to mass terms in the effective field theory.Comment: 19 page
A Note on Unitarity of Non-Relativistic Non-Commutative Theories
We analyze the unitarity of a non-relativistic non-commutative scalar field
theory. We show that electric backgrounds spoil unitarity while magnetic ones
do not. Furthermore, unlike its relativistic counterparts, unitarity can not be
restored (at least at the level of one-to-one scattering amplitude) by adding
new states to the theory. This is a signal that the model cannot be embedded in
a natural way in string theory.Comment: 6 pages, 2 figures. References adde
The Gauge Dual of Gauged N=8 Supergravity Theory
The most general SU(3)-singlet space of gauged N=8 supergravity in
four-dimensions is studied recently. The SU(3)-invariant six scalar fields are
realized by six real four-forms. A family of holographic N=1 supersymmetric RG
flows on M2-branes in three-dimensions is described. This family of flows is
driven by three independent mass parameters from the N=8 SO(8) theory and is
controlled by two IR fixed points, N=1 G_2-invariant one and N=2 SU(3) x
U(1)-invariant one. The generic flow with arbitrary mass parameters is N=1
supersymmetric and reaches to the N=2 SU(3) x U(1) fixed point where the three
masses become identical. A particular N=1 supersymmetric SU(3)-preserving RG
flow from the N=1 G_2-invariant fixed point to the N=2 SU(3) x U(1)-invariant
fixed point is also discussed.Comment: 19pp; added the footnote 1, improved the conclusion and to appear in
IJMP
Semi-classical open string corrections and symmetric Wilson loops
In the AdS/CFT correspondence, an AdS_2 x S^2 D3-brane with electric flux in
AdS_5 x S^5 spacetime corresponds to a circular Wilson loop in the symmetric
representation or a multiply wound one in N=4 super Yang-Mills theory. In order
to distinguish the symmetric loop and the multiply wound loop, one should see
an exponentially small correction in large 't Hooft coupling. We study
semi-classically the disk open string attached to the D3-brane. We obtain the
exponent of the term and it agrees with the result of the matrix model
calculation of the symmetric Wilson loop.Comment: 14 pages, 4 figures. v2: explanation improved. v3: argument in
section 2 is improved, result not change
Holographic Gauge Theories in Background Fields and Surface Operators
We construct a new class of supersymmetric surface operators in N=4 SYM and
find the corresponding dual supergravity solutions. We show that the insertion
of the surface operator - which is given by a WZW model supported on the
surface - appears by integrating out the localized degrees of freedom along the
surface which arise microscopically from a D3/D7 brane intersection.
Consistency requires constructing N=4 SYM in the D7 supergravity background and
not in flat space. This enlarges the class of holographic gauge theories dual
to string theory backgrounds to gauge theories in non-trivial supergravity
backgrounds. The dual Type IIB supergravity solutions we find reveal - among
other features - that the holographic dual gauge theory does indeed live in the
D7-brane background.Comment: 42 pages, harvmac, corrected typo
BIons in topological string theory
When many fundamental strings are stacked together, they puff up into
D-branes. BIons and giant gravitons are the examples of such D-brane
configurations that arise from coincident strings. We propose and demonstrate
analogous transitions in topological string theory. Such transitions can also
be understood in terms of the Fourier transform of D-brane amplitudes.Comment: 21 pages; v.2 references added; v.3 reference added; v.4 minor
corrections; v.5 substantial rewritin
Vortex loop operators, M2-branes and holography
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