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 |
|---|---|---|---|---|---|---|---|---|---|
| 2245 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6847 | 0.8767 | 0.781 | [M:[1.1784, 0.7496, 0.8216, 0.8216, 0.8216, 0.7856, 0.7136], q:[0.8036, 0.4468], qb:[0.3748, 0.8036], phi:[0.3928]] | [M:[[-6], [-14], [6], [6], [6], [-4], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.141 + t^2.249 + 2*t^2.357 + 3*t^2.465 + t^3.427 + t^3.751 + t^4.282 + t^4.39 + 3*t^4.498 + 5*t^4.606 + 6*t^4.714 + 7*t^4.822 + 6*t^4.93 + t^5.568 + t^5.676 + t^5.784 + 2*t^5.892 - 2*t^6. + 2*t^6.216 + t^6.422 + t^6.53 + 3*t^6.638 + 6*t^6.746 + 9*t^6.854 + 12*t^6.962 + 14*t^7.07 + 14*t^7.178 + 10*t^7.286 + 7*t^7.394 + t^7.709 + t^7.817 + 2*t^7.925 + 3*t^8.033 - 3*t^8.249 - 5*t^8.357 - 10*t^8.465 + t^8.563 - 3*t^8.573 + t^8.671 + 2*t^8.681 + 3*t^8.779 + 6*t^8.887 + 10*t^8.995 - t^4.178/y - t^6.319/y - t^6.427/y - (2*t^6.535)/y - (2*t^6.643)/y + t^7.39/y + (2*t^7.498)/y + (5*t^7.606)/y + (6*t^7.714)/y + (8*t^7.822)/y + (4*t^7.93)/y + t^8.038/y - t^8.46/y - (2*t^8.676)/y - (2*t^8.784)/y - t^8.892/y - t^4.178*y - t^6.319*y - t^6.427*y - 2*t^6.535*y - 2*t^6.643*y + t^7.39*y + 2*t^7.498*y + 5*t^7.606*y + 6*t^7.714*y + 8*t^7.822*y + 4*t^7.93*y + t^8.038*y - t^8.46*y - 2*t^8.676*y - 2*t^8.784*y - t^8.892*y | t^2.141/g1^24 + t^2.249/g1^14 + (2*t^2.357)/g1^4 + 3*g1^6*t^2.465 + t^3.427/g1^16 + g1^14*t^3.751 + t^4.282/g1^48 + t^4.39/g1^38 + (3*t^4.498)/g1^28 + (5*t^4.606)/g1^18 + (6*t^4.714)/g1^8 + 7*g1^2*t^4.822 + 6*g1^12*t^4.93 + t^5.568/g1^40 + t^5.676/g1^30 + t^5.784/g1^20 + (2*t^5.892)/g1^10 - 2*t^6. + 2*g1^20*t^6.216 + t^6.422/g1^72 + t^6.53/g1^62 + (3*t^6.638)/g1^52 + (6*t^6.746)/g1^42 + (9*t^6.854)/g1^32 + (12*t^6.962)/g1^22 + (14*t^7.07)/g1^12 + (14*t^7.178)/g1^2 + 10*g1^8*t^7.286 + 7*g1^18*t^7.394 + t^7.709/g1^64 + t^7.817/g1^54 + (2*t^7.925)/g1^44 + (3*t^8.033)/g1^34 - (3*t^8.249)/g1^14 - (5*t^8.357)/g1^4 - 10*g1^6*t^8.465 + t^8.563/g1^96 - 3*g1^16*t^8.573 + t^8.671/g1^86 + 2*g1^26*t^8.681 + (3*t^8.779)/g1^76 + (6*t^8.887)/g1^66 + (10*t^8.995)/g1^56 - t^4.178/(g1^2*y) - t^6.319/(g1^26*y) - t^6.427/(g1^16*y) - (2*t^6.535)/(g1^6*y) - (2*g1^4*t^6.643)/y + t^7.39/(g1^38*y) + (2*t^7.498)/(g1^28*y) + (5*t^7.606)/(g1^18*y) + (6*t^7.714)/(g1^8*y) + (8*g1^2*t^7.822)/y + (4*g1^12*t^7.93)/y + (g1^22*t^8.038)/y - t^8.46/(g1^50*y) - (2*t^8.676)/(g1^30*y) - (2*t^8.784)/(g1^20*y) - t^8.892/(g1^10*y) - (t^4.178*y)/g1^2 - (t^6.319*y)/g1^26 - (t^6.427*y)/g1^16 - (2*t^6.535*y)/g1^6 - 2*g1^4*t^6.643*y + (t^7.39*y)/g1^38 + (2*t^7.498*y)/g1^28 + (5*t^7.606*y)/g1^18 + (6*t^7.714*y)/g1^8 + 8*g1^2*t^7.822*y + 4*g1^12*t^7.93*y + g1^22*t^8.038*y - (t^8.46*y)/g1^50 - (2*t^8.676*y)/g1^30 - (2*t^8.784*y)/g1^20 - (t^8.892*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4242 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{7}$ | 0.6126 | 0.787 | 0.7785 | [M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 0.8421, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.211 + 2*t^2.526 + t^2.842 + 2*t^3.158 + t^4.105 + 6*t^4.421 + 7*t^4.737 + 6*t^5.053 + 7*t^5.368 + 3*t^5.684 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 67233/109744, c: 43183/54872, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 16/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 4244 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{8}$ | 0.6658 | 0.8419 | 0.7909 | [M:[1.1831, 0.7605, 0.8169, 0.8169, 0.8169, 0.7887, 0.7323, 1.2395], q:[0.8028, 0.4367], qb:[0.3803, 0.8028], phi:[0.3944]] | t^2.197 + 2*t^2.366 + 3*t^2.451 + t^3.465 + 2*t^3.718 + t^4.394 + 2*t^4.563 + 3*t^4.648 + 3*t^4.732 + 7*t^4.817 + 6*t^4.901 + t^5.662 + t^5.831 + 3*t^5.915 - 3*t^6. - t^4.183/y - t^4.183*y | detail | |
| 4241 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ | 0.6322 | 0.8092 | 0.7812 | [M:[1.25, 0.9167, 0.75, 0.75, 0.75, 0.8333, 1.0], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + 2*t^2.5 + t^2.75 + t^3. + t^3.25 + t^4. + 6*t^4.5 + 7*t^4.75 + 6*t^5. + 5*t^5.25 + 5*t^5.5 + t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 971/1536, c: 1243/1536, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 3/4, M6: 5/6, M7: 1, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
| 4245 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}q_{2}$ | 0.7039 | 0.9129 | 0.7711 | [M:[1.1746, 0.7408, 0.8254, 0.8254, 0.8254, 0.7831, 0.6985, 0.7408], q:[0.8042, 0.455], qb:[0.3704, 0.8042], phi:[0.3915]] | t^2.096 + 2*t^2.222 + 2*t^2.349 + 3*t^2.476 + t^3.397 + t^4.191 + 2*t^4.318 + 5*t^4.445 + 7*t^4.572 + 9*t^4.699 + 7*t^4.825 + 6*t^4.952 + t^5.493 + 2*t^5.62 + t^5.746 + t^5.873 - 3*t^6. - t^4.175/y - t^4.175*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1215 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6647 | 0.8391 | 0.7922 | [M:[1.1849, 0.7647, 0.8151, 0.8151, 0.8151, 0.7899], q:[0.8025, 0.4327], qb:[0.3824, 0.8025], phi:[0.395]] | t^2.294 + 2*t^2.37 + 3*t^2.445 + t^3.479 + t^3.706 + t^3.781 + t^4.588 + 2*t^4.664 + 6*t^4.74 + 7*t^4.815 + 6*t^4.891 + t^5.773 + t^5.849 + t^5.924 - 2*t^6. - t^4.185/y - t^4.185*y | detail |