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 |
|---|---|---|---|---|---|---|---|---|---|
| 5225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6893 | 0.881 | 0.7823 | [M:[0.8274, 1.0575, 1.1726, 0.7123, 1.0575, 1.0685, 0.6904, 0.7014], q:[0.4082, 0.7644], qb:[0.4192, 0.5233], phi:[0.4712]] | [M:[[-12], [4], [12], [-20], [4], [-30], [48], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}^{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.071 + t^2.104 + t^2.137 + t^2.482 + 2*t^3.173 + t^3.205 + t^3.518 + t^3.551 + t^3.863 + t^4.143 + t^4.175 + 3*t^4.208 + 2*t^4.241 + t^4.274 + 2*t^4.553 + t^4.586 + t^4.619 + t^4.964 + 2*t^5.244 + 3*t^5.277 + 3*t^5.31 + t^5.342 + t^5.589 + 2*t^5.622 + 3*t^5.655 + t^5.688 + t^5.934 - t^6. + t^6.214 + t^6.247 + 3*t^6.28 + 3*t^6.312 + 5*t^6.345 + 3*t^6.378 + 2*t^6.411 + 2*t^6.625 + 2*t^6.658 + 4*t^6.69 + 3*t^6.723 + 2*t^6.756 + 2*t^7.036 + 2*t^7.315 + 3*t^7.348 + 6*t^7.381 + 4*t^7.414 + 3*t^7.447 + t^7.479 + t^7.66 + 2*t^7.693 + 5*t^7.726 + 4*t^7.759 + 2*t^7.792 + t^7.825 + t^8.006 - 3*t^8.104 - 2*t^8.137 + t^8.285 + t^8.318 + 3*t^8.351 + 3*t^8.384 + 7*t^8.417 + 4*t^8.449 + 5*t^8.482 + 4*t^8.515 + 2*t^8.548 + 2*t^8.696 + 2*t^8.729 + 6*t^8.762 + 6*t^8.795 + 6*t^8.827 + 3*t^8.86 + 2*t^8.893 - t^4.414/y - t^6.485/y - t^6.518/y - t^6.551/y + t^7.175/y + (2*t^7.208)/y + (2*t^7.241)/y + t^7.553/y + (2*t^8.244)/y + (4*t^8.277)/y + (4*t^8.31)/y + (2*t^8.342)/y - t^8.556/y + (3*t^8.655)/y + t^8.688/y + t^8.934/y + t^8.967/y - t^4.414*y - t^6.485*y - t^6.518*y - t^6.551*y + t^7.175*y + 2*t^7.208*y + 2*t^7.241*y + t^7.553*y + 2*t^8.244*y + 4*t^8.277*y + 4*t^8.31*y + 2*t^8.342*y - t^8.556*y + 3*t^8.655*y + t^8.688*y + t^8.934*y + t^8.967*y | g1^48*t^2.071 + g1^14*t^2.104 + t^2.137/g1^20 + t^2.482/g1^12 + 2*g1^4*t^3.173 + t^3.205/g1^30 + g1^12*t^3.518 + t^3.551/g1^22 + g1^20*t^3.863 + g1^96*t^4.143 + g1^62*t^4.175 + 3*g1^28*t^4.208 + (2*t^4.241)/g1^6 + t^4.274/g1^40 + 2*g1^36*t^4.553 + g1^2*t^4.586 + t^4.619/g1^32 + t^4.964/g1^24 + 2*g1^52*t^5.244 + 3*g1^18*t^5.277 + (3*t^5.31)/g1^16 + t^5.342/g1^50 + g1^60*t^5.589 + 2*g1^26*t^5.622 + (3*t^5.655)/g1^8 + t^5.688/g1^42 + g1^68*t^5.934 - t^6. + g1^144*t^6.214 + g1^110*t^6.247 + 3*g1^76*t^6.28 + 3*g1^42*t^6.312 + 5*g1^8*t^6.345 + (3*t^6.378)/g1^26 + (2*t^6.411)/g1^60 + 2*g1^84*t^6.625 + 2*g1^50*t^6.658 + 4*g1^16*t^6.69 + (3*t^6.723)/g1^18 + (2*t^6.756)/g1^52 + 2*g1^24*t^7.036 + 2*g1^100*t^7.315 + 3*g1^66*t^7.348 + 6*g1^32*t^7.381 + (4*t^7.414)/g1^2 + (3*t^7.447)/g1^36 + t^7.479/g1^70 + g1^108*t^7.66 + 2*g1^74*t^7.693 + 5*g1^40*t^7.726 + 4*g1^6*t^7.759 + (2*t^7.792)/g1^28 + t^7.825/g1^62 + g1^116*t^8.006 - 3*g1^14*t^8.104 - (2*t^8.137)/g1^20 + g1^192*t^8.285 + g1^158*t^8.318 + 3*g1^124*t^8.351 + 3*g1^90*t^8.384 + 7*g1^56*t^8.417 + 4*g1^22*t^8.449 + (5*t^8.482)/g1^12 + (4*t^8.515)/g1^46 + (2*t^8.548)/g1^80 + 2*g1^132*t^8.696 + 2*g1^98*t^8.729 + 6*g1^64*t^8.762 + 6*g1^30*t^8.795 + (6*t^8.827)/g1^4 + (3*t^8.86)/g1^38 + (2*t^8.893)/g1^72 - t^4.414/(g1^2*y) - (g1^46*t^6.485)/y - (g1^12*t^6.518)/y - t^6.551/(g1^22*y) + (g1^62*t^7.175)/y + (2*g1^28*t^7.208)/y + (2*t^7.241)/(g1^6*y) + (g1^36*t^7.553)/y + (2*g1^52*t^8.244)/y + (4*g1^18*t^8.277)/y + (4*t^8.31)/(g1^16*y) + (2*t^8.342)/(g1^50*y) - (g1^94*t^8.556)/y + (3*t^8.655)/(g1^8*y) + t^8.688/(g1^42*y) + (g1^68*t^8.934)/y + (g1^34*t^8.967)/y - (t^4.414*y)/g1^2 - g1^46*t^6.485*y - g1^12*t^6.518*y - (t^6.551*y)/g1^22 + g1^62*t^7.175*y + 2*g1^28*t^7.208*y + (2*t^7.241*y)/g1^6 + g1^36*t^7.553*y + 2*g1^52*t^8.244*y + 4*g1^18*t^8.277*y + (4*t^8.31*y)/g1^16 + (2*t^8.342*y)/g1^50 - g1^94*t^8.556*y + (3*t^8.655*y)/g1^8 + (t^8.688*y)/g1^42 + g1^68*t^8.934*y + g1^34*t^8.967*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 6774 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}M_{8}$ + ${ }M_{4}X_{1}$ | 0.5376 | 0.6807 | 0.7897 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 1.0968, 0.7742, 1.1613, 0.8387], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | t^2.129 + t^2.323 + t^2.516 + t^2.903 + 2*t^3.29 + t^3.484 + t^3.871 + t^4.065 + t^4.258 + 2*t^4.452 + 2*t^4.645 + t^4.839 + 2*t^5.032 + t^5.226 + 2*t^5.419 + 3*t^5.613 + 2*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 256251/476656, c: 162241/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 34/31, M6: 24/31, M7: 36/31, M8: 26/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
| 6773 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}^{2}$ + ${ }M_{4}X_{1}$ | 0.6081 | 0.7617 | 0.7983 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 1.0833, 0.875, 1.0, 0.7917], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | t^2.25 + t^2.375 + t^2.625 + t^3. + t^3.125 + 2*t^3.25 + t^3.75 + t^4.125 + 2*t^4.25 + t^4.5 + t^4.625 + 2*t^4.75 + t^5. + 3*t^5.25 + t^5.375 + 2*t^5.5 + 3*t^5.625 + t^5.75 + t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 29887/49152, c: 37439/49152, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 13/12, M6: 7/8, M7: 1, M8: 19/24, q1: 23/48, q2: 37/48, qb1: 13/48, qb2: 31/48, phi1: 11/24} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3551 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6688 | 0.8418 | 0.7944 | [M:[0.8264, 1.0579, 1.1736, 0.7107, 1.0579, 1.066, 0.6944], q:[0.4091, 0.7645], qb:[0.4173, 0.5249], phi:[0.4711]] | t^2.083 + t^2.132 + t^2.479 + 2*t^3.174 + t^3.198 + t^3.521 + t^3.545 + t^3.868 + t^3.892 + t^4.166 + 2*t^4.215 + t^4.24 + t^4.264 + 2*t^4.562 + t^4.611 + t^4.958 + 2*t^5.257 + t^5.281 + 2*t^5.306 + t^5.33 + t^5.604 + t^5.628 + 2*t^5.653 + t^5.677 + t^5.951 - t^6. - t^4.413/y - t^4.413*y | detail |