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Phase Structure of Non-Commutative Field Theories and Spinning Brane Bound States
High Energy Physics - Theory · Submitted 22 Nov 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the thermodynamics is equivalent to the commutative case at large N and we discuss the possibility and consequences of finite N.
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The abstract, sentence by sentence
General spinning brane bound states are constructed, along with their near-horizon limits which are relevant as dual descriptions of non-commutative field theories. For the spinning D-brane world volume theories with a B-field a general analysis of the gauge coupling phase structure is given, exhibiting various novel features, already at the level of zero angular momenta. We show that the thermodynamics is equivalent to the commutative case at large N and we discuss the possibility and consequences of finite N. As an application of the general analysis, the range of validity of the thermodynamics for the NCSYM is discussed. In view of the recently conjectured existence of a 7-dimensional NCSYM, the thermodynamics of the spinning D6-brane theory, for which a stable region can be found, is presented in detail. Corresponding results for the spinning M5-M2 brane bound state, including the near-horizon limit and thermodynamics, are given as well.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | General spinning brane bound states are constructed, along with their near-horizon limits which are relevant as dual descriptions of non-commutative field theories. | contribution 1.00 | 0.91 | 0.13 | asserted 1.00 |
| s1 | For the spinning D-brane world volume theories with a B-field a general analysis of the gauge coupling phase structure is given, exhibiting various novel features, already at the level of zero angular momenta. | contribution 0.95 | 0.92 | 0.17 | asserted 1.00 |
| s2 | We show that the thermodynamics is equivalent to the commutative case at large N and we discuss the possibility and consequences of finite N. | result 0.97 | 0.92 | 0.23 | asserted 1.00 |
| s3 | As an application of the general analysis, the range of validity of the thermodynamics for the NCSYM is discussed. | contribution 0.87 | 0.85 | 0.08 | asserted 0.51 |
| s4 | In view of the recently conjectured existence of a 7-dimensional NCSYM, the thermodynamics of the spinning D6-brane theory, for which a stable region can be found, is presented in detail. | contribution 0.86 | 0.84 | 0.11 | asserted 0.66 |
| s5 | Corresponding results for the spinning M5-M2 brane bound state, including the near-horizon limit and thermodynamics, are given as well. | contribution 0.87 | 0.89 | 0.08 | asserted 0.99 |
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The paper
Original abstract
General spinning brane bound states are constructed, along with their near-horizon limits which are relevant as dual descriptions of non-commutative field theories. For the spinning D-brane world volume theories with a B-field a general analysis of the gauge coupling phase structure is given, exhibiting various novel features, already at the level of zero angular momenta. We show that the thermodynamics is equivalent to the commutative case at large N and we discuss the possibility and consequences of finite N. As an application of the general analysis, the range of validity of the thermodynamics for the NCSYM is discussed. In view of the recently conjectured existence of a 7-dimensional NCSYM, the thermodynamics of the spinning D6-brane theory, for which a stable region can be found, is presented in detail. Corresponding results for the spinning M5-M2 brane bound state, including the near-horizon limit and thermodynamics, are given as well.
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References
How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it
Cites it as background 3 papers
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The non-extremal (D1, D3) bound state configuration of type IIB string theory is given as [ref] , ds^2 = H^-1/2[-f(dx^0)^2 + (dx^1)^2 + (H/F) ((dx^2)^2 + (dx^3)^2)]+ H^1/2[f^-1dr^2 + r^2 dΩ_5^2]e^2ϕ = g_s^2 H/FB_[2] = tanθF^-1 dx^2 ∧dx^3, A_[2] = -1/g_s sinθφF^-1 dx^0 ∧dx^1F_[5] = -1/g_s cosθφ(H/F) ∂_r H^-1 dx^0∧dx^1∧dx^2 ∧dx^3 ∧dr where the various functions appearing in the solution d1d3 are defined as, f = 1 - r_0^4/r^4, H = 1 + r_0^4sinh^2φ/r^4, F = 1 + r_0^4 cos^2θsinh^2φ/r^4 Note that the metric in the above is given in the string frame.
Drag force in a hot non-relativistic, non-commutative Yang-Mills plasma · Null Melvin Twist on non-extremal (D1, D3) bound state solution · 0.83
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For the convenience of the readers, let us present here the known supergravity description of the D3-NS5 bound state as well as its thermodynamic data (see [ref] for detailed discussion).
Comments on the stability of the KPV state · D3-NS5 supergravity solution · 0.95
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There was subsequently a great deal of work constructing gravity solutions for various Dp-branes with spacetime non-commutativity; see, for example, [ref] .
Holography with Null Boundaries · Motivation · 0.92
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