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 |
|---|---|---|---|---|---|---|---|---|---|
| 57393 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.4496 | 1.6311 | 0.8887 | [X:[1.3652], M:[0.9043], q:[0.5124, 0.484], qb:[0.5833, 0.516], phi:[0.3174]] | [X:[[0, 4]], M:[[0, -12]], q:[[1, 11], [-2, 0]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.713 + t^2.856 + t^3. + t^3.085 + t^3.202 + t^3.952 + t^4.038 + t^4.096 + t^4.154 + t^4.239 + t^4.904 + t^4.99 + t^5.106 + t^5.191 + t^5.393 + t^5.426 + t^5.479 + t^5.569 + 2*t^5.713 + t^5.798 + t^5.856 + t^5.942 - 2*t^6. + t^6.058 + t^6.171 + t^6.287 + t^6.345 + t^6.404 + t^6.431 + t^6.665 + t^6.75 + 2*t^6.809 + t^6.894 + t^6.952 + t^7.01 + t^7.038 + 2*t^7.096 + t^7.123 + t^7.154 + t^7.181 + t^7.212 + 2*t^7.239 + 2*t^7.298 + t^7.325 + t^7.356 + t^7.383 + t^7.468 + t^7.501 + t^7.617 + t^7.702 + 2*t^7.904 + t^7.962 + 2*t^7.99 + t^8.048 + 2*t^8.075 + 3*t^8.106 + t^8.138 + 4*t^8.191 + t^8.25 + t^8.277 + t^8.282 + t^8.308 + t^8.335 + t^8.393 + 2*t^8.426 + 2*t^8.479 + t^8.564 + 2*t^8.569 + t^8.595 - t^8.596 + t^8.655 + t^8.681 - 2*t^8.713 + t^8.884 + 2*t^8.942 + t^8.856/y^2 - t^3.952/y - t^4.904/y - t^6.665/y - t^6.809/y - t^6.952/y - t^7.038/y - t^7.154/y - t^7.617/y - t^7.761/y - t^7.904/y - t^7.99/y - t^8.106/y + t^8.569/y + t^8.713/y + t^8.798/y + t^8.915/y - t^3.952*y - t^4.904*y - t^6.665*y - t^6.809*y - t^6.952*y - t^7.038*y - t^7.154*y - t^7.617*y - t^7.761*y - t^7.904*y - t^7.99*y - t^8.106*y + t^8.569*y + t^8.713*y + t^8.798*y + t^8.915*y + t^8.856*y^2 | t^2.713/g2^12 + t^2.856/g2^6 + t^3. + g1^3*g2^11*t^3.085 + (g2*t^3.202)/g1^3 + t^3.952/g2^2 + g1^3*g2^9*t^4.038 + g2^4*t^4.096 + t^4.154/(g1^3*g2) + g2^10*t^4.239 + t^4.904/g2^4 + g1^3*g2^7*t^4.99 + t^5.106/(g1^3*g2^3) + g2^8*t^5.191 + (g2^9*t^5.393)/g1^3 + t^5.426/g2^24 + g2^20*t^5.479 + t^5.569/g2^18 + (2*t^5.713)/g2^12 + (g1^3*t^5.798)/g2 + t^5.856/g2^6 + g1^3*g2^5*t^5.942 - 2*t^6. + t^6.058/(g1^3*g2^5) + g1^6*g2^22*t^6.171 + g2^12*t^6.287 + (g2^7*t^6.345)/g1^3 + (g2^2*t^6.404)/g1^6 + g2^18*t^6.431 + t^6.665/g2^14 + (g1^3*t^6.75)/g2^3 + (2*t^6.809)/g2^8 + g1^3*g2^3*t^6.894 + t^6.952/g2^2 + t^7.01/(g1^3*g2^7) + g1^3*g2^9*t^7.038 + 2*g2^4*t^7.096 + g1^6*g2^20*t^7.123 + t^7.154/(g1^3*g2) + g1^3*g2^15*t^7.181 + t^7.212/(g1^6*g2^6) + 2*g2^10*t^7.239 + (2*g2^5*t^7.298)/g1^3 + g1^3*g2^21*t^7.325 + t^7.356/g1^6 + g2^16*t^7.383 + g1^3*g2^27*t^7.468 + (g1^6*t^7.501)/g2^6 + t^7.617/g2^16 + (g1^3*t^7.702)/g2^5 + (2*t^7.904)/g2^4 + t^7.962/(g1^3*g2^9) + 2*g1^3*g2^7*t^7.99 + g2^2*t^8.048 + 2*g1^6*g2^18*t^8.075 + (3*t^8.106)/(g1^3*g2^3) + t^8.138/g2^36 + 4*g2^8*t^8.191 + (g2^3*t^8.25)/g1^3 + g1^3*g2^19*t^8.277 + t^8.282/g2^30 + t^8.308/(g1^6*g2^2) + g2^14*t^8.335 + (g2^9*t^8.393)/g1^3 + (2*t^8.426)/g2^24 + 2*g2^20*t^8.479 + g1^3*g2^31*t^8.564 + (2*t^8.569)/g2^18 + (g2^10*t^8.595)/g1^6 - (g1^6*t^8.596)/g2^2 + (g1^3*t^8.655)/g2^7 + (g2^21*t^8.681)/g1^3 - (2*t^8.713)/g2^12 + g1^6*g2^10*t^8.884 + 2*g1^3*g2^5*t^8.942 + t^8.856/(g2^6*y^2) - t^3.952/(g2^2*y) - t^4.904/(g2^4*y) - t^6.665/(g2^14*y) - t^6.809/(g2^8*y) - t^6.952/(g2^2*y) - (g1^3*g2^9*t^7.038)/y - t^7.154/(g1^3*g2*y) - t^7.617/(g2^16*y) - t^7.761/(g2^10*y) - t^7.904/(g2^4*y) - (g1^3*g2^7*t^7.99)/y - t^8.106/(g1^3*g2^3*y) + t^8.569/(g2^18*y) + t^8.713/(g2^12*y) + (g1^3*t^8.798)/(g2*y) + t^8.915/(g1^3*g2^11*y) - (t^3.952*y)/g2^2 - (t^4.904*y)/g2^4 - (t^6.665*y)/g2^14 - (t^6.809*y)/g2^8 - (t^6.952*y)/g2^2 - g1^3*g2^9*t^7.038*y - (t^7.154*y)/(g1^3*g2) - (t^7.617*y)/g2^16 - (t^7.761*y)/g2^10 - (t^7.904*y)/g2^4 - g1^3*g2^7*t^7.99*y - (t^8.106*y)/(g1^3*g2^3) + (t^8.569*y)/g2^18 + (t^8.713*y)/g2^12 + (g1^3*t^8.798*y)/g2 + (t^8.915*y)/(g1^3*g2^11) + (t^8.856*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58510 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4456 | 1.6261 | 0.889 | [X:[1.3585], M:[0.9246, 1.0377], q:[0.4955, 0.4805], qb:[0.5799, 0.5195], phi:[0.3208]] | t^2.77 + t^3. + t^3.05 + t^3.11 + t^3.18 + t^3.96 + t^4.01 + t^4.08 + t^4.14 + t^4.19 + t^4.92 + t^4.97 + t^5.11 + t^5.15 + t^5.33 + t^5.38 + t^5.55 + t^5.77 + t^5.82 + t^5.89 - 2*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail | |
| 58512 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4546 | 1.6394 | 0.8873 | [X:[1.3742], M:[0.8775, 0.9213], q:[0.5455, 0.4669], qb:[0.577, 0.5331], phi:[0.3129]] | t^2.63 + t^2.76 + t^2.82 + t^3. + t^3.13 + t^3.94 + t^4.07 + t^4.12 + t^4.17 + t^4.31 + t^4.88 + t^5.01 + t^5.11 + t^5.25 + t^5.26 + t^5.38 + t^5.4 + t^5.45 + t^5.53 + t^5.58 + t^5.61 + 2*t^5.63 + t^5.76 + t^5.82 + t^5.9 + t^5.95 - 2*t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | |
| 58553 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4242 | 1.5987 | 0.8908 | [X:[1.4023], M:[0.7932], q:[0.5746, 0.5633], qb:[0.6322, 0.4367], phi:[0.2989]] | t^2.38 + t^2.69 + t^3. + t^3.03 + t^3.59 + t^3.9 + t^3.93 + t^4.21 + t^4.48 + t^4.52 + t^4.76 + t^4.79 + t^4.83 + t^5.07 + 3*t^5.38 + 2*t^5.41 + t^5.69 + t^5.72 - t^6. - t^3.9/y - t^4.79/y - t^3.9*y - t^4.79*y | detail | |
| 58554 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4376 | 1.6126 | 0.8915 | [X:[1.4], M:[0.8], q:[0.6, 0.5], qb:[0.6, 0.5], phi:[0.3]] | t^2.4 + t^2.7 + t^3. + 2*t^3.3 + t^3.9 + 3*t^4.2 + t^4.5 + 2*t^4.8 + 3*t^5.1 + 3*t^5.4 + 3*t^5.7 + t^6. - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | {a: 23001/16000, c: 25801/16000, X1: 7/5, M1: 4/5, q1: 3/5, q2: 1/2, qb1: 3/5, qb2: 1/2, phi1: 3/10} |
| 58550 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 0.94 | 1.0838 | 0.8673 | [X:[1.3968, 1.508], M:[0.8096], q:[0.3915, 0.8995], qb:[0.7989, 0.1005], phi:[0.3016]] | t^2.38 + t^2.43 + t^2.71 + t^3. + t^3.29 + t^3.62 + t^3.9 + t^4.19 + t^4.52 + t^4.76 + t^4.81 + t^4.86 + 2*t^5.1 + t^5.14 + t^5.38 + 2*t^5.43 + t^5.67 + t^5.71 + t^5.95 - t^3.9/y - t^4.81/y - t^3.9*y - t^4.81*y | detail | |
| 58551 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3183 | 1.4905 | 0.8844 | [X:[1.4147], M:[0.7558], q:[0.7319, 0.3172], qb:[0.5123, 0.6828], phi:[0.2926]] | t^2.27 + t^2.49 + t^2.63 + t^3. + t^3.37 + t^3.88 + 3*t^4.24 + t^4.53 + t^4.61 + t^4.76 + t^4.9 + 2*t^4.98 + 2*t^5.12 + 2*t^5.27 + 2*t^5.49 + t^5.63 + 2*t^5.85 - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*y | detail | |
| 58552 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3273 | 1.5082 | 0.8801 | [X:[1.3687], M:[0.8939], q:[0.4217, 0.6843], qb:[0.6843, 0.3157], phi:[0.3157]] | t^2.21 + t^2.68 + t^2.84 + t^3. + t^3.16 + t^3.95 + 3*t^4.11 + t^4.27 + t^4.42 + 2*t^4.89 + 2*t^5.05 + t^5.21 + t^5.36 + t^5.37 + t^5.52 + t^5.53 + 3*t^5.68 + 2*t^5.84 - t^3.95/y - t^4.89/y - t^3.95*y - t^4.89*y | detail | |
| 58508 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.4491 | 1.6304 | 0.8888 | [X:[1.3665], M:[0.9004], q:[0.5219, 0.4721], qb:[0.5777, 0.5279], phi:[0.3167]] | t^2.7 + t^2.85 + t^3. + 2*t^3.15 + t^3.95 + 3*t^4.1 + t^4.25 + t^4.9 + 2*t^5.05 + t^5.2 + t^5.35 + t^5.4 + t^5.5 + t^5.55 + 2*t^5.7 + 2*t^5.85 - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47897 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4497 | 1.6322 | 0.8882 | [X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]] | t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y | detail |