Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
56499 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7339 | 0.918 | 0.7994 | [M:[1.0031, 1.053, 0.9969, 0.841, 0.947, 0.8971, 0.9969, 0.6855], q:[0.4205, 0.5764], qb:[0.5265, 0.5826], phi:[0.4735]] | [M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-2, 0], [-7, 1], [3, -1], [7, 0]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -4 | t^2.056 + t^2.523 + t^2.691 + 2*t^2.841 + 2*t^2.991 + t^3.327 + t^4.113 + t^4.262 + t^4.411 + t^4.43 + 2*t^4.579 + t^4.729 + 2*t^4.748 + t^4.879 + 3*t^4.897 + t^4.916 + t^5.046 + 2*t^5.047 + t^5.214 + 2*t^5.364 + t^5.383 + t^5.384 + t^5.514 + t^5.532 + 4*t^5.682 + 3*t^5.832 + 2*t^5.981 - 4*t^6. - t^6.15 + t^6.168 + t^6.169 + t^6.318 + 2*t^6.636 + t^6.655 + t^6.785 + t^6.786 + 2*t^6.804 + t^6.935 + t^6.953 + 3*t^6.954 + t^6.973 + 3*t^7.103 + 2*t^7.104 + t^7.121 + 3*t^7.252 + 3*t^7.271 + 2*t^7.402 + 3*t^7.421 + 2*t^7.439 + t^7.44 + t^7.569 + 3*t^7.57 + 2*t^7.589 + t^7.608 + 3*t^7.72 + t^7.737 + 4*t^7.738 + 2*t^7.757 + 2*t^7.869 + 2*t^7.887 + 2*t^7.888 + t^7.906 + t^8.037 + t^8.038 + t^8.055 - 5*t^8.056 + t^8.074 + 3*t^8.205 - t^8.206 + t^8.224 + t^8.225 + t^8.226 + t^8.244 + t^8.355 + 2*t^8.373 + t^8.374 + t^8.504 + 4*t^8.673 - 4*t^8.691 + 2*t^8.692 + t^8.711 + 3*t^8.822 - 8*t^8.841 + t^8.842 - t^8.86 + 2*t^8.861 + 2*t^8.972 - 8*t^8.991 + t^8.992 - t^4.421/y - t^6.477/y - t^6.944/y - t^7.112/y - t^7.262/y - t^7.411/y + t^7.43/y + (2*t^7.579)/y + t^7.729/y + t^7.748/y + (3*t^7.897)/y + (2*t^8.047)/y + t^8.214/y + (3*t^8.364)/y + t^8.384/y + (2*t^8.514)/y + (2*t^8.532)/y - t^8.533/y + (3*t^8.682)/y + (4*t^8.832)/y + t^8.85/y + t^8.981/y - t^4.421*y - t^6.477*y - t^6.944*y - t^7.112*y - t^7.262*y - t^7.411*y + t^7.43*y + 2*t^7.579*y + t^7.729*y + t^7.748*y + 3*t^7.897*y + 2*t^8.047*y + t^8.214*y + 3*t^8.364*y + t^8.384*y + 2*t^8.514*y + 2*t^8.532*y - t^8.533*y + 3*t^8.682*y + 4*t^8.832*y + t^8.85*y + t^8.981*y | g1^7*t^2.056 + t^2.523/g1^6 + (g2*t^2.691)/g1^7 + (2*t^2.841)/g1^2 + (2*g1^3*t^2.991)/g2 + g1*g2*t^3.327 + g1^14*t^4.113 + t^4.262/g1^3 + (g1^2*t^4.411)/g2 + (g2*t^4.43)/g1^4 + 2*g1*t^4.579 + (g1^6*t^4.729)/g2 + 2*g2*t^4.748 + (g1^11*t^4.879)/g2^2 + 3*g1^5*t^4.897 + (g2^2*t^4.916)/g1 + t^5.046/g1^12 + (2*g1^10*t^5.047)/g2 + (g2*t^5.214)/g1^13 + (2*t^5.364)/g1^8 + (g2^2*t^5.383)/g1^14 + g1^8*g2*t^5.384 + t^5.514/(g1^3*g2) + (g2*t^5.532)/g1^9 + (4*t^5.682)/g1^4 + (3*g1*t^5.832)/g2 + (2*g1^6*t^5.981)/g2^2 - 4*t^6. - (g1^5*t^6.15)/g2 + (g2*t^6.168)/g1 + g1^21*t^6.169 + g1^4*t^6.318 + 2*g1^8*t^6.636 + g1^2*g2^2*t^6.655 + t^6.785/g1^9 + (g1^13*t^6.786)/g2 + 2*g1^7*g2*t^6.804 + (g1^18*t^6.935)/g2^2 + (g2*t^6.953)/g1^10 + 3*g1^12*t^6.954 + g1^6*g2^2*t^6.973 + (3*t^7.103)/g1^5 + (2*g1^17*t^7.104)/g2 + (g2^2*t^7.121)/g1^11 + (3*t^7.252)/g2 + (3*g2*t^7.271)/g1^6 + (2*g1^5*t^7.402)/g2^2 + (3*t^7.421)/g1 + (2*g2^2*t^7.439)/g1^7 + g1^15*g2*t^7.44 + t^7.569/g1^18 + (3*g1^4*t^7.57)/g2 + (2*g2*t^7.589)/g1^2 + (g2^3*t^7.608)/g1^8 + (3*g1^9*t^7.72)/g2^2 + (g2*t^7.737)/g1^19 + 4*g1^3*t^7.738 + (2*g2^2*t^7.757)/g1^3 + (2*g1^14*t^7.869)/g2^3 + (2*t^7.887)/g1^14 + (2*g1^8*t^7.888)/g2 + (g2^2*t^7.906)/g1^20 + t^8.037/(g1^9*g2) + (g1^13*t^8.038)/g2^2 + (g2*t^8.055)/g1^15 - 5*g1^7*t^8.056 + (g2^3*t^8.074)/g1^21 + (3*t^8.205)/g1^10 - (g1^12*t^8.206)/g2 + (g2^2*t^8.224)/g1^16 + g1^6*g2*t^8.225 + g1^28*t^8.226 + g2^3*t^8.244 + t^8.355/(g1^5*g2) + (2*g2*t^8.373)/g1^11 + g1^11*t^8.374 + t^8.504/g2^2 + (4*t^8.673)/(g1*g2) - (4*g2*t^8.691)/g1^7 + 2*g1^15*t^8.692 + g1^9*g2^2*t^8.711 + (3*g1^4*t^8.822)/g2^2 - (8*t^8.841)/g1^2 + (g1^20*t^8.842)/g2 - (g2^2*t^8.86)/g1^8 + 2*g1^14*g2*t^8.861 + (2*g1^9*t^8.972)/g2^3 - (8*g1^3*t^8.991)/g2 + (g1^25*t^8.992)/g2^2 - t^4.421/(g1*y) - (g1^6*t^6.477)/y - t^6.944/(g1^7*y) - (g2*t^7.112)/(g1^8*y) - t^7.262/(g1^3*y) - (g1^2*t^7.411)/(g2*y) + (g2*t^7.43)/(g1^4*y) + (2*g1*t^7.579)/y + (g1^6*t^7.729)/(g2*y) + (g2*t^7.748)/y + (3*g1^5*t^7.897)/y + (2*g1^10*t^8.047)/(g2*y) + (g2*t^8.214)/(g1^13*y) + (3*t^8.364)/(g1^8*y) + (g1^8*g2*t^8.384)/y + (2*t^8.514)/(g1^3*g2*y) + (2*g2*t^8.532)/(g1^9*y) - (g1^13*t^8.533)/y + (3*t^8.682)/(g1^4*y) + (4*g1*t^8.832)/(g2*y) + (g2*t^8.85)/(g1^5*y) + (g1^6*t^8.981)/(g2^2*y) - (t^4.421*y)/g1 - g1^6*t^6.477*y - (t^6.944*y)/g1^7 - (g2*t^7.112*y)/g1^8 - (t^7.262*y)/g1^3 - (g1^2*t^7.411*y)/g2 + (g2*t^7.43*y)/g1^4 + 2*g1*t^7.579*y + (g1^6*t^7.729*y)/g2 + g2*t^7.748*y + 3*g1^5*t^7.897*y + (2*g1^10*t^8.047*y)/g2 + (g2*t^8.214*y)/g1^13 + (3*t^8.364*y)/g1^8 + g1^8*g2*t^8.384*y + (2*t^8.514*y)/(g1^3*g2) + (2*g2*t^8.532*y)/g1^9 - g1^13*t^8.533*y + (3*t^8.682*y)/g1^4 + (4*g1*t^8.832*y)/g2 + (g2*t^8.85*y)/g1^5 + (g1^6*t^8.981*y)/g2^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
53881 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.7132 | 0.8781 | 0.8122 | [M:[1.0035, 1.0554, 0.9965, 0.8338, 0.9446, 0.8926, 0.9965], q:[0.4169, 0.5797], qb:[0.5277, 0.5866], phi:[0.4723]] | t^2.501 + t^2.678 + 2*t^2.834 + 2*t^2.99 + t^3.343 + t^3.918 + t^4.251 + t^4.407 + t^4.427 + t^4.583 + t^4.739 + t^4.76 + t^4.895 + t^4.916 + t^4.936 + t^5.003 + t^5.179 + 2*t^5.335 + t^5.356 + t^5.491 + t^5.512 + 4*t^5.668 + 3*t^5.823 + 2*t^5.979 - 4*t^6. - t^4.417/y - t^4.417*y | detail |