|Z|\\\end{aligned}}} Supersymmetric black hole entropies D-branes Bogomol'nyi–Prasad–Sommerfield bound Short supermultiplet Wall-crossing Moore, Gregory, PiTP...

with urination Bogomol'nyi–Prasad–Sommerfield bound, a mathematical concept in field and string theory Bogomol'nyi–Prasad–Sommerfield state, solutions saturating...

Charles M. Sommerfield was a theoretical physicist and professor emeritus at Yale University. He is the namesake of the Bogomol'nyi–Prasad–Sommerfield bound...

(NASU) Bogolyubov Prize for young scientists Bogomol'nyi-Prasad-Sommerfield bound Bogomol'nyi–Prasad–Sommerfield bound Bohm diffusion Bohr magneton Bohr model...

Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups (G2, F4, E6, E7, E8) ADE classification...

equation Reaction–diffusion systems Quantum vortex Higgs bundle Bogomol'nyi–Prasad–Sommerfield bound Wesche, Rainer (2017). "High-Temperature Superconductors"...

get to it. Since any change in quantum state requires time to flow, all objects and their quantum information state stay imprinted on the event horizon....

naively be expected to produce physical tachyons, to an alternate stable state where no physical tachyons exist. Once the tachyonic field reaches the minimum...

least 2. The period mapping sends a K3 surface to its Hodge structure. When stated carefully, the Torelli theorem holds: a K3 surface is determined by its...

with its mass, charge, and other properties determined by the vibrational state of the string. In string theory, one of the many vibrational states of the...

proposed that even when space and time are unreliable, the notion of momentum state, which is defined far away from the experimental chamber, still works. The...

to be a consistent theory of quantum gravity, the graviton is a massless state of a fundamental string. If it exists, the graviton is expected to be massless...

Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups (G2, F4, E6, E7, E8) ADE classification...

black string would settle into a stable, static non-uniform black string state. A Kaluza–Klein black hole is a black brane (generalisation of a black hole)...

typically written using Lagrangians, formulas which depend upon the object's state at a particular point in space and/or time. In non-relativistic mechanics...

Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups (G2, F4, E6, E7, E8) ADE classification...

Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups (G2, F4, E6, E7, E8) ADE classification...

formulation of twisted K-theory, start from the Atiyah–Jänich theorem, stating that F r e d ( H ) , {\displaystyle Fred({\mathcal {H}}),} the Fredholm...

Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups (G2, F4, E6, E7, E8) ADE classification...

Wess–Zumino–Witten model Gauge theory Anomalies Instantons Chern–Simons form Bogomol'nyi–Prasad–Sommerfield bound Exceptional Lie groups (G2, F4, E6, E7, E8) ADE classification...

biophysics Charles M. Sommerfield (B.S. 1953), high-energy physicist and one of the namesakes of the Bogomol'nyi–Prasad–Sommerfield bound Larry Spruch (B...

circle's circumference 2 π R {\displaystyle 2\pi R} . It follows that the state of a string at any given time can be represented as a function φ ( θ ) {\displaystyle...

energy are believed to interact at least gravitationally, and many authors state that superluminal propagation in Lorentz invariant theories always leads...

do this, we will find only the unique lowest-energy state instead of two states. The ground-state wave function localizes at both of the classical minima...

Now imagine a stack of hyperbolic disks where each disk represents the state of the universe at a given time. The resulting geometric object is three-dimensional...

are time-reversible. Because a black hole eventually achieves a stable state with only three parameters, there is no way to avoid losing information...

must be summed over in the path integral. The sum of the gauge orbit of a state is a sum of phases which form a subgroup of U(1). As there is an anomaly...

group of the octonions is a 14-dimensional simple Lie group. In 1914 he stated that this is the compact real form of G2. In older books and papers, G2...

D-brane. Named after the Born–Infeld action. BPS A state related to the Bogomol'nyi–Prasad–Sommerfield bound. BR Branching ratio BRS BRST quantization Short...

representation of spin j {\displaystyle j} : a representation generated by a state | v ⟩ {\displaystyle |v\rangle } such that J n < 0 a | v ⟩ = J 0 − | v ⟩...