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 |
|---|---|---|---|---|---|---|---|---|---|
| 4708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ | 0.58 | 0.7521 | 0.7711 | [X:[1.2619], M:[1.2302, 0.7381, 1.2302, 0.7381, 1.2619, 0.7065, 0.7698, 0.7698], q:[0.4007, 0.3691], qb:[0.3691, 0.8928], phi:[0.4921]] | [X:[[6]], M:[[-10], [-6], [-10], [-6], [6], [-22], [10], [10]], q:[[13], [-3]], qb:[[-3], [9]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}X_{1}$ | ${}M_{3}M_{8}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}X_{1}$ | 2 | t^2.12 + t^2.214 + 2*t^2.309 + t^2.953 + 3*t^3.691 + 4*t^3.786 + t^3.88 + t^4.239 + t^4.334 + t^4.429 + t^4.524 + 3*t^4.619 + t^5.072 + t^5.167 + 4*t^5.262 + t^5.357 + 3*t^5.81 + 4*t^5.905 + 2*t^6. + 5*t^6.095 + 2*t^6.19 + t^6.359 + t^6.454 + t^6.548 + 4*t^6.643 + 2*t^6.738 + t^6.833 + 3*t^6.928 + t^7.192 + t^7.287 + 6*t^7.381 + 6*t^7.476 + 9*t^7.571 + 4*t^7.666 + t^7.761 + 3*t^7.93 + 4*t^8.025 - t^8.12 - t^8.214 - 5*t^8.309 + 4*t^8.404 + t^8.478 + 3*t^8.499 + t^8.573 + t^8.668 + 4*t^8.763 + 2*t^8.858 + 4*t^8.953 - t^4.476/y - t^6.596/y + t^7.334/y + t^7.429/y + (3*t^7.524)/y + t^7.619/y + t^8.072/y + t^8.167/y + (2*t^8.262)/y + t^8.357/y - t^8.715/y + (3*t^8.81)/y + (7*t^8.905)/y - t^4.476*y - t^6.596*y + t^7.334*y + t^7.429*y + 3*t^7.524*y + t^7.619*y + t^8.072*y + t^8.167*y + 2*t^8.262*y + t^8.357*y - t^8.715*y + 3*t^8.81*y + 7*t^8.905*y | t^2.12/g1^22 + t^2.214/g1^6 + 2*g1^10*t^2.309 + t^2.953/g1^8 + (3*t^3.691)/g1^10 + 4*g1^6*t^3.786 + g1^22*t^3.88 + t^4.239/g1^44 + t^4.334/g1^28 + t^4.429/g1^12 + g1^4*t^4.524 + 3*g1^20*t^4.619 + t^5.072/g1^30 + t^5.167/g1^14 + 4*g1^2*t^5.262 + g1^18*t^5.357 + (3*t^5.81)/g1^32 + (4*t^5.905)/g1^16 + 2*t^6. + 5*g1^16*t^6.095 + 2*g1^32*t^6.19 + t^6.359/g1^66 + t^6.454/g1^50 + t^6.548/g1^34 + (4*t^6.643)/g1^18 + (2*t^6.738)/g1^2 + g1^14*t^6.833 + 3*g1^30*t^6.928 + t^7.192/g1^52 + t^7.287/g1^36 + (6*t^7.381)/g1^20 + (6*t^7.476)/g1^4 + 9*g1^12*t^7.571 + 4*g1^28*t^7.666 + g1^44*t^7.761 + (3*t^7.93)/g1^54 + (4*t^8.025)/g1^38 - t^8.12/g1^22 - t^8.214/g1^6 - 5*g1^10*t^8.309 + 4*g1^26*t^8.404 + t^8.478/g1^88 + 3*g1^42*t^8.499 + t^8.573/g1^72 + t^8.668/g1^56 + (4*t^8.763)/g1^40 + (2*t^8.858)/g1^24 + (4*t^8.953)/g1^8 - t^4.476/(g1^4*y) - t^6.596/(g1^26*y) + t^7.334/(g1^28*y) + t^7.429/(g1^12*y) + (3*g1^4*t^7.524)/y + (g1^20*t^7.619)/y + t^8.072/(g1^30*y) + t^8.167/(g1^14*y) + (2*g1^2*t^8.262)/y + (g1^18*t^8.357)/y - t^8.715/(g1^48*y) + (3*t^8.81)/(g1^32*y) + (7*t^8.905)/(g1^16*y) - (t^4.476*y)/g1^4 - (t^6.596*y)/g1^26 + (t^7.334*y)/g1^28 + (t^7.429*y)/g1^12 + 3*g1^4*t^7.524*y + g1^20*t^7.619*y + (t^8.072*y)/g1^30 + (t^8.167*y)/g1^14 + 2*g1^2*t^8.262*y + g1^18*t^8.357*y - (t^8.715*y)/g1^48 + (3*t^8.81*y)/g1^32 + (7*t^8.905*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6273 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{3}M_{9}$ | 0.5983 | 0.7851 | 0.762 | [X:[1.2578], M:[1.237, 0.7422, 1.237, 0.7422, 1.2578, 0.7214, 0.763, 0.763, 0.763], q:[0.3919, 0.3711], qb:[0.3711, 0.8867], phi:[0.4948]] | t^2.164 + t^2.227 + 3*t^2.289 + t^2.969 + 2*t^3.711 + 4*t^3.773 + t^3.836 + t^4.328 + t^4.391 + 2*t^4.453 + 2*t^4.516 + 6*t^4.578 + t^5.133 + t^5.195 + 5*t^5.258 + t^5.32 + 2*t^5.875 + 3*t^5.938 + 2*t^6. - t^4.484/y - t^4.484*y | detail | {a: 470497/786432, c: 617441/786432, X1: 161/128, M1: 475/384, M2: 95/128, M3: 475/384, M4: 95/128, M5: 161/128, M6: 277/384, M7: 293/384, M8: 293/384, M9: 293/384, q1: 301/768, q2: 95/256, qb1: 95/256, qb2: 227/256, phi1: 95/192} |
| 6274 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{9}$ | 0.5995 | 0.7881 | 0.7606 | [X:[1.2637], M:[1.2272, 0.7363, 1.2272, 0.7363, 1.2637, 0.6998, 0.7728, 0.7728, 0.7363], q:[0.4047, 0.3682], qb:[0.3682, 0.8955], phi:[0.4909]] | t^2.099 + 2*t^2.209 + 2*t^2.318 + t^2.945 + 3*t^3.682 + 3*t^3.791 + t^3.901 + t^4.199 + 2*t^4.308 + 3*t^4.418 + 3*t^4.527 + 3*t^4.637 + t^5.045 + 2*t^5.154 + 4*t^5.264 + t^5.373 + 3*t^5.781 + 6*t^5.891 + 4*t^6. - t^4.473/y - t^4.473*y | detail | |
| 6275 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{9}\phi_{1}q_{1}^{2}$ | 0.6005 | 0.7917 | 0.7585 | [X:[1.2648], M:[1.2253, 0.7352, 1.2253, 0.7352, 1.2648, 0.6956, 0.7747, 0.7747, 0.6956], q:[0.4071, 0.3676], qb:[0.3676, 0.8972], phi:[0.4901]] | 2*t^2.087 + t^2.206 + 2*t^2.324 + t^2.941 + 3*t^3.676 + 4*t^3.794 + 3*t^4.174 + 2*t^4.292 + 3*t^4.411 + t^4.53 + 3*t^4.648 + 2*t^5.028 + t^5.146 + 4*t^5.265 + t^5.383 + 6*t^5.763 + 8*t^5.881 + t^6. - t^4.47/y - t^4.47*y | detail | |
| 6272 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.5789 | 0.7504 | 0.7714 | [X:[1.2553], M:[1.2412, 0.7447, 1.2412, 0.7447, 1.2553, 0.7306, 0.7588, 0.7588, 1.0071], q:[0.3865, 0.3724], qb:[0.3724, 0.8829], phi:[0.4965]] | t^2.192 + t^2.234 + 2*t^2.276 + t^3.021 + 3*t^3.724 + 4*t^3.766 + t^3.808 + t^4.383 + t^4.426 + t^4.468 + t^4.511 + 3*t^4.553 + t^5.213 + 3*t^5.255 + 3*t^5.298 + 3*t^5.915 + 3*t^5.958 + 2*t^6. - t^4.489/y - t^4.489*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6961 | 0.8694 | 0.8006 | [X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]] | 2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y | detail |