Orbifolds as Melvin geometry

Takayanagi, Tadashi; Uesugi, Tadaoki

doi:10.1088/1126-6708/2001/12/004

Cited by 47 publications

(126 citation statements)

References 38 publications

(107 reference statements)

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“…Especially, when ζ is irrational, it is known that the string theory behaves rather unusually [17][57]. Thus below we will mainly assume that ζ takes rational…”

Section: Twisted Circle Backgroundmentioning

confidence: 99%

“…On the other hand, when k + M is odd, it is the type II string with an antiperiodic boundary condition for fermions in the circle direction 15 . If we take the small radius limit L → 0, the background becomes equivalent to the type II string (or type 0 string) on R × (C/Z M ) when k + M is even (or is odd) [17]. 15 In other words, it is the Z 2 orbifold of type II string by the action σ 1/2 · (−1)…”

Section: Twisted Circle Backgroundmentioning

confidence: 99%

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AdS bubbles, entropy and closed string tachyons

Nishioka

Takayanagi

2007

J. High Energy Phys.

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204

309

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We study the conjectured connection between AdS bubbles (AdS solitons) and closed string tachyon condensations. We confirm that the entanglement entropy, which measures the degree of freedom, decreases under the tachyon condensation. The entropies in supergravity and free Yang-Mills agree with each other remarkably. Next we consider the tachyon condensation on the AdS twisted circle and argue that its endpoint is given by the twisted AdS bubble, defined by the double Wick rotation of rotating black 3-brane solutions. We calculated the Casimir energy and entropy and checked the agreements between the gauge and gravity results. Finally we show an infinite boost of a null linear dilaton theory with a tachyon wall (or bubble), leads to a solvable time-dependent background with a bulk tachyon condensation. This is the simplest example of spacetimes with null boundaries in string theory.

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“…Especially, when ζ is irrational, it is known that the string theory behaves rather unusually [17][57]. Thus below we will mainly assume that ζ takes rational…”

Section: Twisted Circle Backgroundmentioning

confidence: 99%

Section: Twisted Circle Backgroundmentioning

confidence: 99%

AdS bubbles, entropy and closed string tachyons

Nishioka

Takayanagi

2007

J. High Energy Phys.

Self Cite

204

309

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“…The starting point for our solution is a vacuum Einstein metric, identified by a simultaneous shift in one direction and a rotation of some other directions (Melvin background). In the case where the rotated coordinates are flat Minkowski space, these solutions are sometimes referred to as "fluxbranes" and have long been studied, starting with [30] and continuing into the modern era [20][21][22][23][24].…”

Section: Jhep07(2012)061mentioning

confidence: 99%

“…, x 10 ). An equivalent description is obtained by applying the SW map [42] to the D6-brane theory in order to turn the B-field into a non-commutativity parameter: ĝ +B 24) whereĝ andB are the pullbacks of metric and B-field on the brane andg is the new effective metric for a non-commutative space satisfying…”

Section: Jhep07(2012)061mentioning

confidence: 99%

The omega deformation from string and M-theory

Hellerman

Orlando

Reffert

2012

J. High Energ. Phys.

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We present a string theory construction of Omega-deformed four-dimensional gauge theories with generic values of 1 and 2 . Our solution gives an explicit description of the geometry in the core of Nekrasov and Witten's realization of the instanton partition function, far from the asymptotic region of their background. This construction lifts naturally to M-theory and corresponds to an M5-brane wrapped on a Riemann surface with a selfdual flux. Via a 9-11 flip, we finally reinterpret the Omega deformation in terms of noncommutative geometry. Our solution generates all modified couplings of the Ω-deformed gauge theory, and also yields a geometric origin for the quantum spectral curve of the associated quantum integrable system.

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“…Their relevance in quantum theory was emphasized in [4,5] where quantum creation of branes in the fluxbrane background was considered. More recently fluxbrane solutions were found to be important in the superstring theory [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27].…”

Section: Introductionmentioning

confidence: 99%

F0 fluxbranes, F-walls and new braneworlds

Clément

Gal’tsov

2002

Class. Quantum Grav.

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We complete the list of fluxbrane solutions in classical supergravities by introducing Melvin type space-times supported by antisymmetric forms of rank D − 1 and their pseudoscalar duals. In IIB theory these solutions belong to the same family as the seven-brane and D-instanton. In current notation, a fluxbrane supported by the D − 1 form is an F0 brane, its euclidean continuation is a cylindrical background which "interacts" with a pointlike instanton. The general F0 brane can have a transverse spaceFor k = 1 we find the complete solution containing four parameters, three of them associated with pointlike singularities on the Melvintype background. The S-dual to the F0 brane in ten dimensions is the F8 fluxbrane of codimension one, or F-wall, similar fluxbranes exist in any dimensions if an appropriate form field is present. F-walls contain naked singularities unless one introduces source branes. In such a way one obtains new brane-world type solutions with two bulk scalar fields. Their relation to the supersymmetric brane-worlds is discussed.

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Orbifolds as Melvin geometry

Cited by 47 publications

References 38 publications

AdS bubbles, entropy and closed string tachyons

AdS bubbles, entropy and closed string tachyons

The omega deformation from string and M-theory

F0 fluxbranes, F-walls and new braneworlds

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