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 |
|---|---|---|---|---|---|---|---|---|---|
| 47944 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4415 | 1.6256 | 0.8868 | [X:[1.3426], q:[0.5765, 0.5182], qb:[0.4526, 0.4803], phi:[0.3287]] | [X:[[0, 2]], q:[[2, -11], [-4, 23]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.913 + t^2.959 + t^2.996 + t^3.087 + t^3.17 + t^3.899 + t^3.982 + t^4.028 + t^4.074 + t^4.157 + t^4.885 + t^4.968 + t^5.06 + 2*t^5.143 + t^5.226 + t^5.825 + t^5.871 + t^5.908 + t^5.954 + t^5.991 - 2*t^6. + t^6.046 + t^6.083 + 2*t^6.129 + t^6.166 + t^6.212 + t^6.258 + t^6.341 + t^6.811 + t^6.857 + 2*t^6.894 - t^6.903 + 2*t^6.94 + t^6.977 + t^6.986 + t^7.023 + 2*t^7.032 + 2*t^7.069 + 3*t^7.115 + 2*t^7.152 + 2*t^7.198 + t^7.244 + t^7.281 + t^7.327 + t^7.623 + 2*t^7.797 + 3*t^7.88 - t^7.889 + 2*t^7.963 + t^7.972 + t^8.018 + 4*t^8.055 + 2*t^8.101 + 4*t^8.138 + t^8.147 + t^8.184 + t^8.221 + 2*t^8.23 + 3*t^8.313 + t^8.396 - t^8.655 + 2*t^8.784 + t^8.821 - t^8.83 + 3*t^8.867 + t^8.904 - 3*t^8.913 + 2*t^8.95 + t^8.987 - 2*t^8.996 + t^8.959/y^2 - t^3.986/y - t^4.972/y - t^6.899/y - t^6.945/y - t^6.982/y - t^7.074/y - t^7.157/y - t^7.885/y - t^7.931/y - t^7.968/y - t^8.06/y - t^8.143/y + t^8.908/y - t^3.986*y - t^4.972*y - t^6.899*y - t^6.945*y - t^6.982*y - t^7.074*y - t^7.157*y - t^7.885*y - t^7.931*y - t^7.968*y - t^8.06*y - t^8.143*y + t^8.908*y + t^8.959*y^2 | (g2^17*t^2.913)/g1^3 + t^2.959/g2^3 + (g2^23*t^2.996)/g1^3 + (g1^3*t^3.087)/g2^17 + (g1^3*t^3.17)/g2^11 + (g2^16*t^3.899)/g1^3 + (g2^22*t^3.982)/g1^3 + g2^2*t^4.028 + (g1^3*t^4.074)/g2^18 + (g1^3*t^4.157)/g2^12 + (g2^15*t^4.885)/g1^3 + (g2^21*t^4.968)/g1^3 + (g1^3*t^5.06)/g2^19 + (2*g1^3*t^5.143)/g2^13 + (g1^3*t^5.226)/g2^7 + (g2^34*t^5.825)/g1^6 + (g2^14*t^5.871)/g1^3 + (g2^40*t^5.908)/g1^6 + (g2^20*t^5.954)/g1^3 + (g2^46*t^5.991)/g1^6 - 2*t^6. + (g1^3*t^6.046)/g2^20 + g2^6*t^6.083 + (2*g1^3*t^6.129)/g2^14 + g2^12*t^6.166 + (g1^3*t^6.212)/g2^8 + (g1^6*t^6.258)/g2^28 + (g1^6*t^6.341)/g2^22 + (g2^33*t^6.811)/g1^6 + (g2^13*t^6.857)/g1^3 + (2*g2^39*t^6.894)/g1^6 - t^6.903/g2^7 + (2*g2^19*t^6.94)/g1^3 + (g2^45*t^6.977)/g1^6 + t^6.986/g2 + (g2^25*t^7.023)/g1^3 + (2*g1^3*t^7.032)/g2^21 + 2*g2^5*t^7.069 + (3*g1^3*t^7.115)/g2^15 + 2*g2^11*t^7.152 + (2*g1^3*t^7.198)/g2^9 + (g1^6*t^7.244)/g2^29 + (g1^3*t^7.281)/g2^3 + (g1^6*t^7.327)/g2^23 + (g2^66*t^7.623)/g1^12 + (2*g2^32*t^7.797)/g1^6 + (3*g2^38*t^7.88)/g1^6 - t^7.889/g2^8 + (2*g2^44*t^7.963)/g1^6 + t^7.972/g2^2 + (g1^3*t^8.018)/g2^22 + 4*g2^4*t^8.055 + (2*g1^3*t^8.101)/g2^16 + 4*g2^10*t^8.138 + (g1^6*t^8.147)/g2^36 + (g1^3*t^8.184)/g2^10 + g2^16*t^8.221 + (2*g1^6*t^8.23)/g2^30 + (3*g1^6*t^8.313)/g2^24 + (g1^6*t^8.396)/g2^18 - (g2^45*t^8.655)/g1^9 + (2*g2^31*t^8.784)/g1^6 + (g2^57*t^8.821)/g1^9 - (g2^11*t^8.83)/g1^3 + (3*g2^37*t^8.867)/g1^6 + (g2^63*t^8.904)/g1^9 - (3*g2^17*t^8.913)/g1^3 + (2*g2^43*t^8.95)/g1^6 + (g2^69*t^8.987)/g1^9 - (2*g2^23*t^8.996)/g1^3 + t^8.959/(g2^3*y^2) - t^3.986/(g2*y) - t^4.972/(g2^2*y) - (g2^16*t^6.899)/(g1^3*y) - t^6.945/(g2^4*y) - (g2^22*t^6.982)/(g1^3*y) - (g1^3*t^7.074)/(g2^18*y) - (g1^3*t^7.157)/(g2^12*y) - (g2^15*t^7.885)/(g1^3*y) - t^7.931/(g2^5*y) - (g2^21*t^7.968)/(g1^3*y) - (g1^3*t^8.06)/(g2^19*y) - (g1^3*t^8.143)/(g2^13*y) + (g2^40*t^8.908)/(g1^6*y) - (t^3.986*y)/g2 - (t^4.972*y)/g2^2 - (g2^16*t^6.899*y)/g1^3 - (t^6.945*y)/g2^4 - (g2^22*t^6.982*y)/g1^3 - (g1^3*t^7.074*y)/g2^18 - (g1^3*t^7.157*y)/g2^12 - (g2^15*t^7.885*y)/g1^3 - (t^7.931*y)/g2^5 - (g2^21*t^7.968*y)/g1^3 - (g1^3*t^8.06*y)/g2^19 - (g1^3*t^8.143*y)/g2^13 + (g2^40*t^8.908*y)/g1^6 + (t^8.959*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57693 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4621 | 1.6651 | 0.8781 | [X:[1.3424], M:[0.6976], q:[0.5746, 0.5219], qb:[0.4517, 0.479], phi:[0.3288]] | t^2.09 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.16 + t^3.99 + t^4.03 + t^4.07 + t^4.15 + t^4.19 + t^4.89 + t^4.98 + t^5.01 + 2*t^5.05 + t^5.1 + 2*t^5.13 + t^5.17 + t^5.22 + t^5.25 + t^5.84 + t^5.88 + t^5.92 + t^5.96 - 2*t^6. - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y | detail | |
| 57694 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4624 | 1.6668 | 0.8773 | [X:[1.3429], M:[0.6714], q:[0.5762, 0.519], qb:[0.4524, 0.481], phi:[0.3286]] | t^2.01 + t^2.91 + t^2.96 + t^3. + t^3.09 + t^3.17 + t^3.9 + 2*t^4.03 + t^4.07 + t^4.16 + t^4.89 + t^4.93 + 2*t^4.97 + t^5.01 + t^5.06 + t^5.1 + 2*t^5.14 + t^5.19 + t^5.23 + t^5.83 + t^5.87 + 2*t^5.91 + t^5.96 - t^6. - t^3.99/y - t^4.97/y - t^6./y - t^3.99*y - t^4.97*y - t^6.*y | detail | |
| 57713 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4391 | 1.6222 | 0.8872 | [X:[1.3452], M:[], q:[0.5575, 0.5575], qb:[0.4425, 0.4779], phi:[0.3274]] | t^2.95 + 2*t^3. + 2*t^3.11 + 2*t^3.98 + t^4.04 + 2*t^4.09 + 2*t^4.96 + 3*t^5.07 + t^5.18 + 2*t^5.95 - t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 57710 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0831 | 1.1939 | 0.9072 | [X:[1.5379], M:[], q:[0.6931, 0.3828], qb:[0.4621, 1.0759], phi:[0.231]] | t^2.08 + t^2.53 + t^3.23 + t^3.47 + t^3.92 + t^4.16 + t^4.38 + 2*t^4.61 + 2*t^5.07 + 2*t^5.31 + t^5.52 + t^5.76 - t^6. - t^3.69/y - t^4.39/y - t^5.77/y - t^3.69*y - t^4.39*y - t^5.77*y | detail | |
| 57711 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.2026 | 1.3877 | 0.8666 | [X:[1.2594, 1.4812], M:[], q:[0.7161, 0.1974], qb:[0.5432, 0.3214], phi:[0.3703]] | t^2.22 + t^2.67 + t^3.11 + 2*t^3.33 + 3*t^3.78 + t^4.22 + 3*t^4.44 + t^4.67 + 2*t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.55 + 2*t^5.78 + 3*t^6. - t^4.11/y - t^5.22/y - t^4.11*y - t^5.22*y | detail | |
| 57695 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9112 | 0.9616 | 0.9476 | [X:[1.6258, 1.4387], M:[], q:[0.686, 0.4409], qb:[0.4365, 1.314], phi:[0.1871]] | t^2.63 + t^3.19 + t^3.75 + t^4.32 + t^4.88 + t^5.26 + t^5.61 + t^5.65 + t^5.83 - 2*t^6. - t^3.56/y - t^4.12/y - t^3.56*y - t^4.12*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47867 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6835 | 0.8756 | [q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail |