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 |
|---|---|---|---|---|---|---|---|---|---|
| 2255 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6786 | 0.8465 | 0.8017 | [X:[1.3592], M:[1.0164, 1.1714, 0.9836, 0.6408, 0.8286, 0.7511, 0.8286], q:[0.7735, 0.3979], qb:[0.5857, 0.4307], phi:[0.4531]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [-32], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.253 + 2*t^2.486 + t^2.718 + t^2.951 + t^3.049 + t^3.612 + t^3.845 + t^3.943 + t^4.078 + t^4.31 + t^4.408 + t^4.507 + 2*t^4.739 + t^4.873 + 4*t^4.972 + 3*t^5.204 + t^5.302 + 2*t^5.437 + t^5.535 + t^5.669 + t^5.767 + t^5.866 - 2*t^6. + 3*t^6.098 + t^6.197 - t^6.233 + 3*t^6.331 + 2*t^6.429 - t^6.465 + 2*t^6.563 + 3*t^6.662 + t^6.76 + t^6.796 + 2*t^6.894 + 3*t^6.992 + t^7.127 + 4*t^7.225 + 7*t^7.457 + 2*t^7.556 + 5*t^7.69 + 2*t^7.788 - t^7.824 + t^7.887 + 4*t^7.922 + 3*t^8.021 + t^8.119 + t^8.155 - t^8.253 + 4*t^8.352 + t^8.45 - 4*t^8.486 + 5*t^8.584 + 2*t^8.682 - 5*t^8.718 + 6*t^8.817 + 6*t^8.915 - 4*t^8.951 - t^4.359/y - t^6.612/y - t^6.845/y - t^7.078/y + t^7.641/y + (2*t^7.739)/y + t^7.873/y + (2*t^7.972)/y + t^8.106/y + (3*t^8.204)/y + t^8.302/y + (2*t^8.437)/y + (2*t^8.535)/y + t^8.669/y + t^8.767/y - t^4.359*y - t^6.612*y - t^6.845*y - t^7.078*y + t^7.641*y + 2*t^7.739*y + t^7.873*y + 2*t^7.972*y + t^8.106*y + 3*t^8.204*y + t^8.302*y + 2*t^8.437*y + 2*t^8.535*y + t^8.669*y + t^8.767*y | t^2.253/g1^32 + (2*t^2.486)/g1^14 + g1^4*t^2.718 + g1^22*t^2.951 + t^3.049/g1^22 + t^3.612/g1^30 + t^3.845/g1^12 + t^3.943/g1^56 + g1^6*t^4.078 + g1^24*t^4.31 + t^4.408/g1^20 + t^4.507/g1^64 + (2*t^4.739)/g1^46 + g1^16*t^4.873 + (4*t^4.972)/g1^28 + (3*t^5.204)/g1^10 + t^5.302/g1^54 + 2*g1^8*t^5.437 + t^5.535/g1^36 + g1^26*t^5.669 + t^5.767/g1^18 + t^5.866/g1^62 - 2*t^6. + (3*t^6.098)/g1^44 + t^6.197/g1^88 - g1^18*t^6.233 + (3*t^6.331)/g1^26 + (2*t^6.429)/g1^70 - g1^36*t^6.465 + (2*t^6.563)/g1^8 + (3*t^6.662)/g1^52 + t^6.76/g1^96 + g1^10*t^6.796 + (2*t^6.894)/g1^34 + (3*t^6.992)/g1^78 + t^7.127/g1^16 + (4*t^7.225)/g1^60 + (7*t^7.457)/g1^42 + (2*t^7.556)/g1^86 + (5*t^7.69)/g1^24 + (2*t^7.788)/g1^68 - g1^38*t^7.824 + t^7.887/g1^112 + (4*t^7.922)/g1^6 + (3*t^8.021)/g1^50 + t^8.119/g1^94 + g1^12*t^8.155 - t^8.253/g1^32 + (4*t^8.352)/g1^76 + t^8.45/g1^120 - (4*t^8.486)/g1^14 + (5*t^8.584)/g1^58 + (2*t^8.682)/g1^102 - 5*g1^4*t^8.718 + (6*t^8.817)/g1^40 + (6*t^8.915)/g1^84 - 4*g1^22*t^8.951 - (g1^2*t^4.359)/y - t^6.612/(g1^30*y) - t^6.845/(g1^12*y) - (g1^6*t^7.078)/y + t^7.641/(g1^2*y) + (2*t^7.739)/(g1^46*y) + (g1^16*t^7.873)/y + (2*t^7.972)/(g1^28*y) + (g1^34*t^8.106)/y + (3*t^8.204)/(g1^10*y) + t^8.302/(g1^54*y) + (2*g1^8*t^8.437)/y + (2*t^8.535)/(g1^36*y) + (g1^26*t^8.669)/y + t^8.767/(g1^18*y) - g1^2*t^4.359*y - (t^6.612*y)/g1^30 - (t^6.845*y)/g1^12 - g1^6*t^7.078*y + (t^7.641*y)/g1^2 + (2*t^7.739*y)/g1^46 + g1^16*t^7.873*y + (2*t^7.972*y)/g1^28 + g1^34*t^8.106*y + (3*t^8.204*y)/g1^10 + (t^8.302*y)/g1^54 + 2*g1^8*t^8.437*y + (2*t^8.535*y)/g1^36 + g1^26*t^8.669*y + (t^8.767*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4257 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6779 | 0.8484 | 0.799 | [X:[1.3638], M:[0.9995, 1.1821, 1.0005, 0.6362, 0.8179, 0.7266, 0.8179, 0.9995], q:[0.7727, 0.4094], qb:[0.5911, 0.4085], phi:[0.4546]] | t^2.18 + 2*t^2.454 + t^2.728 + 2*t^2.999 + t^3.543 + t^3.814 + t^3.817 + t^4.091 + t^4.359 + t^4.362 + t^4.365 + 2*t^4.633 + 4*t^4.907 + t^4.91 + 2*t^5.178 + 2*t^5.181 + 3*t^5.452 + t^5.723 + 2*t^5.726 + t^5.994 + 5*t^5.997 - 3*t^6. - t^4.364/y - t^4.364*y | detail | |
| 4255 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{6}$ | 0.5849 | 0.7208 | 0.8115 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.348 + t^2.609 + 2*t^2.87 + t^3.13 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.435 + 2*t^4.957 + 2*t^5.217 + 3*t^5.478 + 3*t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 56931/97336, c: 17539/24334, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 4254 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{6}^{2}$ | 0.6089 | 0.7495 | 0.8124 | [X:[1.3125], M:[1.1875, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.9375], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | t^2.438 + t^2.625 + 2*t^2.813 + t^3. + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.875 + t^5.063 + 3*t^5.25 + 3*t^5.438 + 3*t^5.625 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail | {a: 19953/32768, c: 24561/32768, X1: 21/16, M1: 19/16, M2: 17/16, M3: 13/16, M4: 11/16, M5: 15/16, M6: 1, M7: 15/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 4258 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6994 | 0.8869 | 0.7886 | [X:[1.3584], M:[1.0193, 1.1695, 0.9807, 0.6416, 0.8305, 0.7554, 0.8305, 0.6781], q:[0.7736, 0.3959], qb:[0.5848, 0.4346], phi:[0.4528]] | t^2.034 + t^2.266 + 2*t^2.491 + t^2.717 + t^2.942 + t^3.058 + t^3.625 + t^3.85 + t^4.068 + t^4.075 + 2*t^4.3 + t^4.416 + 2*t^4.526 + t^4.532 + t^4.751 + 2*t^4.758 + t^4.867 + t^4.976 + 4*t^4.983 + t^5.092 + 3*t^5.208 + t^5.324 + 2*t^5.433 + t^5.549 + 2*t^5.659 + t^5.775 + t^5.884 + t^5.891 - 2*t^6. - t^4.358/y - t^4.358*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1198 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6641 | 0.8203 | 0.8096 | [X:[1.3569], M:[1.0247, 1.1661, 0.9753, 0.6431, 0.8339, 0.7632], q:[0.7738, 0.3923], qb:[0.5831, 0.4416], phi:[0.4523]] | t^2.29 + t^2.502 + t^2.714 + t^2.926 + t^3.074 + t^3.498 + t^3.646 + t^3.859 + t^4.007 + t^4.071 + t^4.283 + t^4.431 + t^4.579 + t^4.791 + t^4.855 + 2*t^5.003 + 2*t^5.215 + t^5.364 + t^5.428 + t^5.64 + 2*t^5.788 + t^5.936 - t^6. - t^4.357/y - t^4.357*y | detail |