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 |
|---|---|---|---|---|---|---|---|---|---|
| 46934 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.6754 | 0.8386 | 0.8054 | [M:[1.1657, 1.006, 0.8343, 0.7771, 0.8343], q:[0.3886, 0.4458], qb:[0.6055, 0.7771], phi:[0.4458]] | [M:[[3], [-18], [-3], [2], [-3]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.331 + 2*t^2.503 + t^2.675 + t^3.018 + t^3.154 + t^3.669 + t^3.84 + t^4.012 + t^4.148 + t^4.319 + t^4.491 + t^4.663 + 2*t^4.834 + t^4.97 + 4*t^5.006 + 2*t^5.178 + t^5.349 + t^5.485 + t^5.521 + 2*t^5.657 + t^5.692 - 2*t^6. + t^6.036 + 2*t^6.172 + t^6.308 + 3*t^6.343 + 2*t^6.515 + t^6.651 + t^6.687 + 3*t^6.822 + 2*t^6.994 + t^7.03 + 2*t^7.166 + 2*t^7.302 + 2*t^7.337 + 2*t^7.473 + 6*t^7.509 + t^7.645 + 5*t^7.681 - t^7.816 + 2*t^7.852 + 2*t^7.988 + 3*t^8.024 + t^8.124 + 3*t^8.16 + t^8.195 - 2*t^8.331 + 2*t^8.367 - 4*t^8.503 + t^8.539 + 2*t^8.639 + t^8.71 + 2*t^8.811 + 4*t^8.846 - t^4.337/y - t^6.669/y - t^6.84/y - t^7.012/y + t^7.319/y - t^7.355/y + t^7.663/y + (3*t^7.834)/y + (3*t^8.006)/y + (2*t^8.178)/y + t^8.349/y + t^8.485/y + (2*t^8.521)/y + (2*t^8.657)/y + t^8.692/y + t^8.828/y - t^4.337*y - t^6.669*y - t^6.84*y - t^7.012*y + t^7.319*y - t^7.355*y + t^7.663*y + 3*t^7.834*y + 3*t^8.006*y + 2*t^8.178*y + t^8.349*y + t^8.485*y + 2*t^8.521*y + 2*t^8.657*y + t^8.692*y + t^8.828*y | g1^2*t^2.331 + (2*t^2.503)/g1^3 + t^2.675/g1^8 + t^3.018/g1^18 + g1^13*t^3.154 + t^3.669/g1^2 + t^3.84/g1^7 + t^4.012/g1^12 + g1^19*t^4.148 + g1^14*t^4.319 + g1^9*t^4.491 + g1^4*t^4.663 + (2*t^4.834)/g1 + g1^30*t^4.97 + (4*t^5.006)/g1^6 + (2*t^5.178)/g1^11 + t^5.349/g1^16 + g1^15*t^5.485 + t^5.521/g1^21 + 2*g1^10*t^5.657 + t^5.692/g1^26 - 2*t^6. + t^6.036/g1^36 + (2*t^6.172)/g1^5 + g1^26*t^6.308 + (3*t^6.343)/g1^10 + (2*t^6.515)/g1^15 + g1^16*t^6.651 + t^6.687/g1^20 + 3*g1^11*t^6.822 + 2*g1^6*t^6.994 + t^7.03/g1^30 + 2*g1*t^7.166 + 2*g1^32*t^7.302 + (2*t^7.337)/g1^4 + 2*g1^27*t^7.473 + (6*t^7.509)/g1^9 + g1^22*t^7.645 + (5*t^7.681)/g1^14 - g1^17*t^7.816 + (2*t^7.852)/g1^19 + 2*g1^12*t^7.988 + (3*t^8.024)/g1^24 + g1^43*t^8.124 + 3*g1^7*t^8.16 + t^8.195/g1^29 - 2*g1^2*t^8.331 + (2*t^8.367)/g1^34 - (4*t^8.503)/g1^3 + t^8.539/g1^39 + 2*g1^28*t^8.639 + t^8.71/g1^44 + 2*g1^23*t^8.811 + (4*t^8.846)/g1^13 - t^4.337/(g1^4*y) - t^6.669/(g1^2*y) - t^6.84/(g1^7*y) - t^7.012/(g1^12*y) + (g1^14*t^7.319)/y - t^7.355/(g1^22*y) + (g1^4*t^7.663)/y + (3*t^7.834)/(g1*y) + (3*t^8.006)/(g1^6*y) + (2*t^8.178)/(g1^11*y) + t^8.349/(g1^16*y) + (g1^15*t^8.485)/y + (2*t^8.521)/(g1^21*y) + (2*g1^10*t^8.657)/y + t^8.692/(g1^26*y) + (g1^5*t^8.828)/y - (t^4.337*y)/g1^4 - (t^6.669*y)/g1^2 - (t^6.84*y)/g1^7 - (t^7.012*y)/g1^12 + g1^14*t^7.319*y - (t^7.355*y)/g1^22 + g1^4*t^7.663*y + (3*t^7.834*y)/g1 + (3*t^8.006*y)/g1^6 + (2*t^8.178*y)/g1^11 + (t^8.349*y)/g1^16 + g1^15*t^8.485*y + (2*t^8.521*y)/g1^21 + 2*g1^10*t^8.657*y + (t^8.692*y)/g1^26 + g1^5*t^8.828*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 |
|---|---|---|---|---|---|---|---|---|
| 55064 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}M_{5}$ | 0.6615 | 0.8252 | 0.8016 | [M:[1.1429, 1.1429, 0.8571, 0.7619, 0.8571], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.286 + 2*t^2.571 + 2*t^2.857 + t^3.429 + 2*t^3.714 + 2*t^4. + 3*t^4.286 + t^4.571 + 2*t^4.857 + 5*t^5.143 + 4*t^5.429 + 2*t^5.714 - t^6. - t^4.429/y - t^4.429*y | detail | {a: 10891/16464, c: 6793/8232, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 6/7, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 55407 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6717 | 0.8352 | 0.8043 | [M:[1.1538, 1.0769, 0.8462, 0.7692, 0.8462], q:[0.3846, 0.4615], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.308 + 2*t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 2*t^4.615 + 2*t^4.846 + 4*t^5.077 + 3*t^5.308 + 3*t^5.538 + t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 23613/35152, c: 29359/35152, M1: 15/13, M2: 14/13, M3: 11/13, M4: 10/13, M5: 11/13, q1: 5/13, q2: 6/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
| 55166 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}M_{6}$ | 0.6577 | 0.807 | 0.815 | [M:[1.1663, 1.0019, 0.8337, 0.7776, 0.8337, 1.2224], q:[0.3888, 0.4449], qb:[0.6093, 0.7776], phi:[0.4449]] | 2*t^2.501 + t^2.669 + t^3.006 + t^3.162 + 2*t^3.667 + t^3.836 + t^4.004 + t^4.161 + t^4.329 + t^4.497 + t^4.99 + 3*t^5.002 + 2*t^5.17 + t^5.507 + 2*t^5.663 + t^5.675 - 3*t^6. - t^4.335/y - t^4.335*y | detail | |
| 55409 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6955 | 0.8765 | 0.7936 | [M:[1.1645, 1.013, 0.8355, 0.7763, 0.8355, 0.7172], q:[0.3882, 0.4473], qb:[0.5988, 0.7763], phi:[0.4473]] | t^2.151 + t^2.329 + 2*t^2.507 + t^2.684 + t^3.039 + t^3.138 + t^3.671 + t^4.026 + t^4.125 + 2*t^4.303 + 2*t^4.48 + 3*t^4.658 + 3*t^4.836 + t^4.935 + 4*t^5.013 + 3*t^5.191 + t^5.29 + t^5.368 + t^5.467 + t^5.546 + 2*t^5.645 + t^5.723 + t^5.822 - 2*t^6. - t^4.342/y - t^4.342*y | detail | |
| 55320 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6932 | 0.8704 | 0.7964 | [M:[1.165, 1.0099, 0.835, 0.7767, 0.835, 0.7767], q:[0.3883, 0.4467], qb:[0.6017, 0.7767], phi:[0.4467]] | 2*t^2.33 + 2*t^2.505 + t^2.68 + t^3.03 + t^3.145 + t^3.845 + t^4.02 + t^4.135 + t^4.31 + t^4.485 + 3*t^4.66 + 4*t^4.835 + t^4.95 + 5*t^5.01 + 2*t^5.185 + 2*t^5.36 + 2*t^5.475 + t^5.535 + 2*t^5.65 + t^5.71 - 3*t^6. - t^4.34/y - t^4.34*y | detail | |
| 55417 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6661 | 0.8234 | 0.809 | [M:[1.1613, 1.0323, 0.8387, 0.7742, 0.8387, 1.0968], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | t^2.323 + 2*t^2.516 + 2*t^3.097 + t^3.29 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 3*t^4.839 + 3*t^5.032 + t^5.419 + 4*t^5.613 + t^5.806 - 2*t^6. - t^4.355/y - t^4.355*y | detail | {a: 5121/7688, c: 3165/3844, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 26/31, M6: 34/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46748 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6612 | 0.8142 | 0.8121 | [M:[1.1643, 1.0142, 0.8357, 0.7762], q:[0.3881, 0.4476], qb:[0.5977, 0.7762], phi:[0.4476]] | t^2.329 + t^2.507 + t^2.686 + t^3.042 + t^3.136 + t^3.493 + t^3.671 + t^3.85 + t^4.028 + t^4.122 + t^4.3 + t^4.479 + t^4.657 + t^4.836 + t^4.929 + 2*t^5.014 + t^5.193 + t^5.371 + t^5.465 + t^5.643 + t^5.728 + t^5.822 - t^6. - t^4.343/y - t^4.343*y | detail |