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 |
|---|---|---|---|---|---|---|---|---|---|
| 57371 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.422 | 1.6203 | 0.8776 | [X:[1.3791], M:[0.7761, 0.7761], q:[0.5214, 0.5214], qb:[0.7025, 0.392], phi:[0.3104]] | [X:[[0, 0, 2]], M:[[1, 1, -6], [-1, -1, 1]], q:[[-1, -2, 7], [1, 0, 0]], qb:[[0, 1, -1], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}$ | -3 | 2*t^2.328 + 2*t^2.74 + t^2.794 + 2*t^3.672 + t^4.137 + 4*t^4.603 + 3*t^4.657 + 3*t^5.069 + 2*t^5.122 + t^5.391 + 3*t^5.481 + 4*t^5.534 + t^5.588 + 2*t^5.624 - 3*t^6. + 3*t^6.322 + 4*t^6.412 + 4*t^6.466 + 2*t^6.555 + 2*t^6.878 + 2*t^6.931 + 4*t^6.985 - t^7.021 + 2*t^7.254 + 11*t^7.343 + 8*t^7.397 + 3*t^7.451 + 4*t^7.487 - 2*t^7.719 + 4*t^7.809 + 2*t^7.863 + 2*t^7.916 - t^7.952 + 2*t^8.131 + 2*t^8.185 + 4*t^8.221 + 15*t^8.275 - 2*t^8.328 + 4*t^8.364 + t^8.382 + 2*t^8.418 - 8*t^8.74 - 4*t^8.884 + t^8.794/y^2 - t^3.931/y - t^4.863/y - (2*t^6.26)/y - (2*t^6.672)/y - t^6.725/y - (2*t^7.191)/y - (2*t^7.603)/y + (4*t^8.069)/y + (2*t^8.122)/y + t^8.481/y - (3*t^8.588)/y - t^3.931*y - t^4.863*y - 2*t^6.26*y - 2*t^6.672*y - t^6.725*y - 2*t^7.191*y - 2*t^7.603*y + 4*t^8.069*y + 2*t^8.122*y + t^8.481*y - 3*t^8.588*y + t^8.794*y^2 | (g1*g2*t^2.328)/g3^6 + (g3*t^2.328)/(g1*g2) + g1*g2*t^2.74 + (g3^7*t^2.74)/(g1*g2) + t^2.794/g3^3 + (g1*g2*t^3.672)/g3 + (g3^6*t^3.672)/(g1*g2) + g3^2*t^4.137 + (2*g1*g2*t^4.603)/g3^2 + (2*g3^5*t^4.603)/(g1*g2) + (g1^2*g2^2*t^4.657)/g3^12 + t^4.657/g3^5 + (g3^2*t^4.657)/(g1^2*g2^2) + (g1^2*g2^2*t^5.069)/g3^6 + g3*t^5.069 + (g3^8*t^5.069)/(g1^2*g2^2) + (g1*g2*t^5.122)/g3^9 + t^5.122/(g1*g2*g3^2) + (g2^3*t^5.391)/g3^2 + g1^2*g2^2*t^5.481 + g3^7*t^5.481 + (g3^14*t^5.481)/(g1^2*g2^2) + (2*g1*g2*t^5.534)/g3^3 + (2*g3^4*t^5.534)/(g1*g2) + t^5.588/g3^6 + (g1*g3^6*t^5.624)/g2^2 + (g3^13*t^5.624)/(g1*g2^4) - 3*t^6. + (3*g2^3*t^6.322)/g3^3 + (g1^2*g2^2*t^6.412)/g3 + 2*g3^6*t^6.412 + (g3^13*t^6.412)/(g1^2*g2^2) + (2*g1*g2*t^6.466)/g3^4 + (2*g3^3*t^6.466)/(g1*g2) + (g1*g3^5*t^6.555)/g2^2 + (g3^12*t^6.555)/(g1*g2^4) + g1*g2*g3^2*t^6.878 + (g3^9*t^6.878)/(g1*g2) + (g1^2*g2^2*t^6.931)/g3^8 + (g3^6*t^6.931)/(g1^2*g2^2) + (g1^3*g2^3*t^6.985)/g3^18 + (g1*g2*t^6.985)/g3^11 + t^6.985/(g1*g2*g3^4) + (g3^3*t^6.985)/(g1^3*g2^3) - (g3^8*t^7.021)/g2^3 + (2*g2^3*t^7.254)/g3^4 + (3*g1^2*g2^2*t^7.343)/g3^2 + 5*g3^5*t^7.343 + (3*g3^12*t^7.343)/(g1^2*g2^2) + (g1^3*g2^3*t^7.397)/g3^12 + (3*g1*g2*t^7.397)/g3^5 + (3*g3^2*t^7.397)/(g1*g2) + (g3^9*t^7.397)/(g1^3*g2^3) + (g1^2*g2^2*t^7.451)/g3^15 + t^7.451/g3^8 + t^7.451/(g1^2*g2^2*g3) + (g1^3*t^7.487)/g3^3 + (g1*g3^4*t^7.487)/g2^2 + (g3^11*t^7.487)/(g1*g2^4) + (g3^18*t^7.487)/(g1^3*g2^6) - (g1*g2^4*t^7.719)/g3^8 - (g2^2*t^7.719)/(g1*g3) + (g1^3*g2^3*t^7.809)/g3^6 + g1*g2*g3*t^7.809 + (g3^8*t^7.809)/(g1*g2) + (g3^15*t^7.809)/(g1^3*g2^3) + (g1^2*g2^2*t^7.863)/g3^9 + (g3^5*t^7.863)/(g1^2*g2^2) + (g1*g2*t^7.916)/g3^12 + t^7.916/(g1*g2*g3^5) - (g3^7*t^7.952)/g2^3 + (g1*g2^4*t^8.131)/g3^2 + (g2^2*g3^5*t^8.131)/g1 + (2*g2^3*t^8.185)/g3^5 + g1^3*g2^3*t^8.221 + g1*g2*g3^7*t^8.221 + (g3^14*t^8.221)/(g1*g2) + (g3^21*t^8.221)/(g1^3*g2^3) + (4*g1^2*g2^2*t^8.275)/g3^3 + 7*g3^4*t^8.275 + (4*g3^11*t^8.275)/(g1^2*g2^2) - (g1*g2*t^8.328)/g3^6 - (g3*t^8.328)/(g1*g2) + (g1^2*g3^6*t^8.364)/g2 + (2*g3^13*t^8.364)/g2^3 + (g3^20*t^8.364)/(g1^2*g2^5) + t^8.382/g3^9 + (g1*g3^3*t^8.418)/g2^2 + (g3^10*t^8.418)/(g1*g2^4) - 4*g1*g2*t^8.74 - (4*g3^7*t^8.74)/(g1*g2) + (g1^2*g2^2*t^8.794)/g3^10 - (2*t^8.794)/g3^3 + (g3^4*t^8.794)/(g1^2*g2^2) - (g1^2*t^8.884)/(g2*g3) - (2*g3^6*t^8.884)/g2^3 - (g3^13*t^8.884)/(g1^2*g2^5) + t^8.794/(g3^3*y^2) - t^3.931/(g3*y) - t^4.863/(g3^2*y) - t^6.26/(g1*g2*y) - (g1*g2*t^6.26)/(g3^7*y) - (g1*g2*t^6.672)/(g3*y) - (g3^6*t^6.672)/(g1*g2*y) - t^6.725/(g3^4*y) - (g1*g2*t^7.191)/(g3^8*y) - t^7.191/(g1*g2*g3*y) - (g1*g2*t^7.603)/(g3^2*y) - (g3^5*t^7.603)/(g1*g2*y) + (g1^2*g2^2*t^8.069)/(g3^6*y) + (2*g3*t^8.069)/y + (g3^8*t^8.069)/(g1^2*g2^2*y) + (g1*g2*t^8.122)/(g3^9*y) + t^8.122/(g1*g2*g3^2*y) + (g3^7*t^8.481)/y - (g1^2*g2^2*t^8.588)/(g3^13*y) - t^8.588/(g3^6*y) - (g3*t^8.588)/(g1^2*g2^2*y) - (t^3.931*y)/g3 - (t^4.863*y)/g3^2 - (t^6.26*y)/(g1*g2) - (g1*g2*t^6.26*y)/g3^7 - (g1*g2*t^6.672*y)/g3 - (g3^6*t^6.672*y)/(g1*g2) - (t^6.725*y)/g3^4 - (g1*g2*t^7.191*y)/g3^8 - (t^7.191*y)/(g1*g2*g3) - (g1*g2*t^7.603*y)/g3^2 - (g3^5*t^7.603*y)/(g1*g2) + (g1^2*g2^2*t^8.069*y)/g3^6 + 2*g3*t^8.069*y + (g3^8*t^8.069*y)/(g1^2*g2^2) + (g1*g2*t^8.122*y)/g3^9 + (t^8.122*y)/(g1*g2*g3^2) + g3^7*t^8.481*y - (g1^2*g2^2*t^8.588*y)/g3^13 - (t^8.588*y)/g3^6 - (g3*t^8.588*y)/(g1^2*g2^2) + (t^8.794*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58433 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.4402 | 1.6521 | 0.8717 | [X:[1.3854], M:[0.7764, 0.7602, 0.7602], q:[0.5182, 0.5344], qb:[0.7055, 0.3981], phi:[0.3073]] | 2*t^2.28 + t^2.33 + t^2.75 + t^2.77 + t^2.8 + t^3.67 + t^4.16 + 3*t^4.56 + 2*t^4.59 + 2*t^4.61 + 2*t^4.64 + t^4.66 + 2*t^5.03 + 2*t^5.05 + 2*t^5.08 + t^5.09 + t^5.13 + t^5.43 + t^5.5 + 2*t^5.51 + t^5.53 + t^5.55 + 2*t^5.56 + t^5.6 + t^5.63 + t^5.68 + t^5.95 - 4*t^6. - t^3.92/y - t^4.84/y - t^3.92*y - t^4.84*y | detail | |
| 58432 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4168 | 1.6115 | 0.8792 | [X:[1.396], M:[0.7703, 0.7398], q:[0.5456, 0.5762], qb:[0.6841, 0.382], phi:[0.302]] | t^2.22 + t^2.31 + t^2.72 + t^2.78 + t^2.87 + t^3.69 + t^3.78 + t^4.19 + t^4.44 + t^4.53 + 2*t^4.6 + t^4.62 + 2*t^4.69 + t^4.94 + t^5. + t^5.03 + t^5.09 + t^5.19 + t^5.25 + t^5.44 + 2*t^5.5 + t^5.57 + 2*t^5.59 + t^5.66 + t^5.75 + t^5.91 - 2*t^6. - t^3.91/y - t^4.81/y - t^3.91*y - t^4.81*y | detail | |
| 58472 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4075 | 1.5988 | 0.8803 | [X:[1.4111], M:[0.7361, 0.7361], q:[0.4991, 0.4991], qb:[0.7648, 0.4704], phi:[0.2944]] | 2*t^2.21 + t^2.65 + 2*t^2.91 + 2*t^3.79 + t^4.23 + 3*t^4.42 + 4*t^4.68 + 2*t^4.86 + 3*t^5.12 + t^5.3 + 2*t^5.38 + 4*t^5.56 + 3*t^5.82 - 2*t^6. - t^3.88/y - t^4.77/y - t^3.88*y - t^4.77*y | detail | |
| 58430 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.4148 | 1.606 | 0.8809 | [X:[1.4114], M:[0.7057, 0.7659], q:[0.5769, 0.5167], qb:[0.7174, 0.4231], phi:[0.2943]] | t^2.12 + t^2.3 + t^2.65 + t^2.82 + t^3. + t^3.7 + t^3.88 + 2*t^4.23 + t^4.41 + 2*t^4.59 + t^4.6 + 3*t^4.77 + t^4.94 + t^4.95 + t^5.12 + 2*t^5.3 + 2*t^5.47 + t^5.57 + t^5.64 + 2*t^5.65 + t^5.71 + t^5.82 + t^5.89 - 2*t^6. - t^3.88/y - t^4.77/y - t^6./y - t^3.88*y - t^4.77*y - t^6.*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47893 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4759 | 1.6818 | 0.8776 | [X:[1.3444], M:[0.9513, 0.6879], q:[0.5244, 0.4922], qb:[0.5244, 0.4922], phi:[0.3278]] | t^2.064 + t^2.854 + t^2.95 + t^2.953 + 2*t^3.05 + 3*t^4.033 + t^4.127 + t^4.13 + t^4.917 + t^4.92 + t^5.014 + 3*t^5.017 + 3*t^5.113 + 2*t^5.51 + 2*t^5.606 + t^5.708 + t^5.804 + t^5.807 + t^5.901 + t^5.903 + t^5.906 - 2*t^6. - t^3.983/y - t^4.967/y - t^3.983*y - t^4.967*y | detail |