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 |
|---|---|---|---|---|---|---|---|---|---|
| 55075 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6562 | 0.8056 | 0.8146 | [M:[1.1677, 0.994, 0.8323, 0.7784, 1.1138, 0.9401], q:[0.3892, 0.4431], qb:[0.6167, 0.7784], phi:[0.4431]] | [M:[[3], [-18], [-3], [2], [8], [-13]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}^{2}$ | ${}$ | -1 | t^2.335 + t^2.497 + t^2.82 + t^2.982 + t^3.341 + t^3.503 + t^3.665 + t^3.826 + t^3.988 + t^4.186 + t^4.347 + t^4.509 + t^4.671 + t^4.832 + t^4.994 + t^5.03 + t^5.156 + t^5.317 + t^5.641 + t^5.677 + t^5.803 + t^5.838 + t^5.964 - t^6. + t^6.162 + 3*t^6.323 + 2*t^6.485 + t^6.647 + t^6.683 + t^6.809 + t^6.844 + t^6.97 + 2*t^7.006 + 2*t^7.168 + 2*t^7.329 + t^7.365 + 3*t^7.491 + t^7.527 + 2*t^7.653 + t^7.689 + t^7.814 + t^7.85 + 2*t^7.976 + 2*t^8.012 + t^8.138 + t^8.174 + t^8.3 - t^8.335 + t^8.371 + t^8.461 + t^8.533 + t^8.623 + t^8.659 + t^8.694 + t^8.785 - t^8.82 + t^8.946 - t^8.982 - t^4.329/y - t^6.665/y - t^7.15/y - t^7.311/y + t^7.347/y + t^7.509/y + t^7.832/y + t^7.994/y + t^8.156/y + (2*t^8.317)/y + t^8.479/y + t^8.677/y + t^8.803/y + (2*t^8.838)/y - t^4.329*y - t^6.665*y - t^7.15*y - t^7.311*y + t^7.347*y + t^7.509*y + t^7.832*y + t^7.994*y + t^8.156*y + 2*t^8.317*y + t^8.479*y + t^8.677*y + t^8.803*y + 2*t^8.838*y | g1^2*t^2.335 + t^2.497/g1^3 + t^2.82/g1^13 + t^2.982/g1^18 + g1^8*t^3.341 + g1^3*t^3.503 + t^3.665/g1^2 + t^3.826/g1^7 + t^3.988/g1^12 + g1^19*t^4.186 + g1^14*t^4.347 + g1^9*t^4.509 + g1^4*t^4.671 + t^4.832/g1 + t^4.994/g1^6 + g1^30*t^5.03 + t^5.156/g1^11 + t^5.317/g1^16 + t^5.641/g1^26 + g1^10*t^5.677 + t^5.803/g1^31 + g1^5*t^5.838 + t^5.964/g1^36 - t^6. + t^6.162/g1^5 + (3*t^6.323)/g1^10 + (2*t^6.485)/g1^15 + t^6.647/g1^20 + g1^16*t^6.683 + t^6.809/g1^25 + g1^11*t^6.844 + t^6.97/g1^30 + 2*g1^6*t^7.006 + 2*g1*t^7.168 + (2*t^7.329)/g1^4 + g1^32*t^7.365 + (3*t^7.491)/g1^9 + g1^27*t^7.527 + (2*t^7.653)/g1^14 + g1^22*t^7.689 + t^7.814/g1^19 + g1^17*t^7.85 + (2*t^7.976)/g1^24 + 2*g1^12*t^8.012 + t^8.138/g1^29 + g1^7*t^8.174 + t^8.3/g1^34 - g1^2*t^8.335 + g1^38*t^8.371 + t^8.461/g1^39 + g1^33*t^8.533 + t^8.623/g1^44 + t^8.659/g1^8 + g1^28*t^8.694 + t^8.785/g1^49 - t^8.82/g1^13 + t^8.946/g1^54 - t^8.982/g1^18 - t^4.329/(g1^4*y) - t^6.665/(g1^2*y) - t^7.15/(g1^17*y) - t^7.311/(g1^22*y) + (g1^14*t^7.347)/y + (g1^9*t^7.509)/y + t^7.832/(g1*y) + t^7.994/(g1^6*y) + t^8.156/(g1^11*y) + (2*t^8.317)/(g1^16*y) + t^8.479/(g1^21*y) + (g1^10*t^8.677)/y + t^8.803/(g1^31*y) + (2*g1^5*t^8.838)/y - (t^4.329*y)/g1^4 - (t^6.665*y)/g1^2 - (t^7.15*y)/g1^17 - (t^7.311*y)/g1^22 + g1^14*t^7.347*y + g1^9*t^7.509*y + (t^7.832*y)/g1 + (t^7.994*y)/g1^6 + (t^8.156*y)/g1^11 + (2*t^8.317*y)/g1^16 + (t^8.479*y)/g1^21 + g1^10*t^8.677*y + (t^8.803*y)/g1^31 + 2*g1^5*t^8.838*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 |
|---|---|---|---|---|---|---|---|---|
| 56750 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6707 | 0.8306 | 0.8075 | [M:[1.169, 0.9859, 0.831, 0.7793, 1.1174, 0.9343, 0.831], q:[0.3897, 0.4413], qb:[0.6244, 0.7793], phi:[0.4413]] | t^2.338 + 2*t^2.493 + t^2.803 + t^2.958 + t^3.352 + t^3.662 + t^3.817 + t^3.972 + t^4.211 + t^4.366 + t^4.521 + t^4.676 + 2*t^4.831 + 3*t^4.986 + t^5.07 + t^5.141 + 2*t^5.296 + t^5.451 + t^5.606 + t^5.69 + t^5.761 + t^5.845 + t^5.915 - 2*t^6. - t^4.324/y - t^4.324*y | detail | {a: 20285/30246, c: 200975/241968, M1: 83/71, M2: 70/71, M3: 59/71, M4: 166/213, M5: 238/213, M6: 199/213, M7: 59/71, q1: 83/213, q2: 94/213, qb1: 133/213, qb2: 166/213, phi1: 94/213} |
| 56742 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6552 | 0.8044 | 0.8145 | [M:[1.1613, 1.0323, 0.8387, 0.7742, 1.0968, 0.9677], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | t^2.323 + t^2.516 + t^2.903 + t^3.097 + t^3.29 + t^3.484 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 2*t^4.839 + t^5.032 + t^5.226 + t^5.419 + t^5.613 + 2*t^5.806 - t^4.355/y - t^4.355*y | detail | {a: 5037/7688, c: 773/961, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 34/31, M6: 30/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
| 56744 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{2}^{2}$ | 0.6562 | 0.8055 | 0.8146 | [M:[1.1667, 1.0, 0.8333, 0.7778, 1.1111, 0.9444], q:[0.3889, 0.4444], qb:[0.6111, 0.7778], phi:[0.4444]] | t^2.333 + t^2.5 + t^2.833 + t^3. + t^3.333 + t^3.5 + t^3.667 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + t^4.667 + t^4.833 + 2*t^5. + t^5.167 + t^5.333 + 2*t^5.667 + 2*t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 13607/20736, c: 16703/20736, M1: 7/6, M2: 1, M3: 5/6, M4: 7/9, M5: 10/9, M6: 17/18, q1: 7/18, q2: 4/9, qb1: 11/18, qb2: 7/9, phi1: 4/9} |
| 56745 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.6385 | 0.774 | 0.8249 | [M:[1.1683, 0.99, 0.8317, 0.7789, 1.1156, 0.9372, 1.2211], q:[0.3894, 0.4422], qb:[0.6206, 0.7789], phi:[0.4422]] | t^2.495 + t^2.812 + t^2.97 + t^3.347 + t^3.505 + 2*t^3.663 + t^3.822 + t^3.98 + t^4.198 + t^4.357 + t^4.515 + t^4.99 + t^5.05 + t^5.623 + t^5.781 + t^5.94 - 2*t^6. - t^4.327/y - t^4.327*y | detail | |
| 56752 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6771 | 0.847 | 0.7994 | [M:[1.1675, 0.9949, 0.8325, 0.7783, 1.1134, 0.9408, 0.6701], q:[0.3892, 0.4433], qb:[0.6159, 0.7783], phi:[0.4433]] | t^2.01 + t^2.335 + t^2.497 + t^2.822 + t^2.985 + t^3.34 + t^3.503 + t^3.665 + t^3.827 + t^4.02 + t^4.183 + 2*t^4.345 + 2*t^4.508 + t^4.67 + 2*t^4.832 + 2*t^4.995 + t^5.025 + t^5.157 + t^5.32 + t^5.35 + t^5.513 + t^5.645 + 2*t^5.675 + t^5.807 + 2*t^5.838 + t^5.97 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 1261243/1862832, c: 788911/931416, M1: 230/197, M2: 196/197, M3: 164/197, M4: 460/591, M5: 658/591, M6: 556/591, M7: 132/197, q1: 230/591, q2: 262/591, qb1: 364/591, qb2: 460/591, phi1: 262/591} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46832 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6579 | 0.8086 | 0.8137 | [M:[1.1533, 1.0037, 0.8467, 0.7433, 1.1265, 0.9002], q:[0.3716, 0.4751], qb:[0.6247, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.701 + t^3.011 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.161 + t^4.219 + t^4.299 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.058 + t^5.08 + t^5.241 + t^5.401 + t^5.609 + t^5.712 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail |