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 |
|---|---|---|---|---|---|---|---|---|---|
| 1498 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{3}$ | 0.695 | 0.8523 | 0.8155 | [M:[0.9784, 1.0, 1.0216, 0.9568, 1.0432, 0.9568], q:[0.5216, 0.5], qb:[0.4568, 0.5432], phi:[0.4946]] | [M:[[-4], [0], [4], [-8], [8], [-8]], q:[[4], [0]], qb:[[-8], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.87 + t^2.935 + t^2.968 + t^3. + t^3.065 + t^3.194 + t^4.224 + t^4.354 + t^4.419 + 2*t^4.484 + t^4.549 + 2*t^4.613 + t^4.678 + t^4.743 + 2*t^5.741 + t^5.806 + 2*t^5.838 + t^5.87 + t^5.903 + 2*t^5.935 + t^5.968 - 2*t^6. + t^6.032 + t^6.162 + t^6.389 + 2*t^7.095 + t^7.16 + t^7.192 + 2*t^7.224 - t^7.257 + 2*t^7.289 + t^7.322 + 3*t^7.354 + 3*t^7.419 + t^7.451 + 3*t^7.484 - t^7.516 + 3*t^7.549 + t^7.581 + 3*t^7.613 - t^7.646 + 3*t^7.678 + t^7.743 - t^7.776 + 2*t^7.808 + t^7.873 + t^7.938 + t^8.449 + t^8.579 + 2*t^8.611 + t^8.643 + 4*t^8.708 + 2*t^8.773 + 2*t^8.806 + 4*t^8.838 - 4*t^8.87 + 4*t^8.903 - 4*t^8.935 + 2*t^8.968 - t^4.484/y - t^7.354/y - t^7.451/y + t^7.516/y + t^7.613/y + t^8.741/y + (2*t^8.806)/y + (2*t^8.838)/y + (2*t^8.87)/y + t^8.903/y + (3*t^8.935)/y + t^8.968/y - t^4.484*y - t^7.354*y - t^7.451*y + t^7.516*y + t^7.613*y + t^8.741*y + 2*t^8.806*y + 2*t^8.838*y + 2*t^8.87*y + t^8.903*y + 3*t^8.935*y + t^8.968*y | (2*t^2.87)/g1^8 + t^2.935/g1^4 + t^2.968/g1^2 + t^3. + g1^4*t^3.065 + g1^12*t^3.194 + t^4.224/g1^17 + t^4.354/g1^9 + t^4.419/g1^5 + (2*t^4.484)/g1 + g1^3*t^4.549 + 2*g1^7*t^4.613 + g1^11*t^4.678 + g1^15*t^4.743 + (2*t^5.741)/g1^16 + t^5.806/g1^12 + (2*t^5.838)/g1^10 + t^5.87/g1^8 + t^5.903/g1^6 + (2*t^5.935)/g1^4 + t^5.968/g1^2 - 2*t^6. + g1^2*t^6.032 + g1^10*t^6.162 + g1^24*t^6.389 + (2*t^7.095)/g1^25 + t^7.16/g1^21 + t^7.192/g1^19 + (2*t^7.224)/g1^17 - t^7.257/g1^15 + (2*t^7.289)/g1^13 + t^7.322/g1^11 + (3*t^7.354)/g1^9 + (3*t^7.419)/g1^5 + t^7.451/g1^3 + (3*t^7.484)/g1 - g1*t^7.516 + 3*g1^3*t^7.549 + g1^5*t^7.581 + 3*g1^7*t^7.613 - g1^9*t^7.646 + 3*g1^11*t^7.678 + g1^15*t^7.743 - g1^17*t^7.776 + 2*g1^19*t^7.808 + g1^23*t^7.873 + g1^27*t^7.938 + t^8.449/g1^34 + t^8.579/g1^26 + (2*t^8.611)/g1^24 + t^8.643/g1^22 + (4*t^8.708)/g1^18 + (2*t^8.773)/g1^14 + (2*t^8.806)/g1^12 + (4*t^8.838)/g1^10 - (4*t^8.87)/g1^8 + (4*t^8.903)/g1^6 - (4*t^8.935)/g1^4 + (2*t^8.968)/g1^2 - t^4.484/(g1*y) - t^7.354/(g1^9*y) - t^7.451/(g1^3*y) + (g1*t^7.516)/y + (g1^7*t^7.613)/y + t^8.741/(g1^16*y) + (2*t^8.806)/(g1^12*y) + (2*t^8.838)/(g1^10*y) + (2*t^8.87)/(g1^8*y) + t^8.903/(g1^6*y) + (3*t^8.935)/(g1^4*y) + t^8.968/(g1^2*y) - (t^4.484*y)/g1 - (t^7.354*y)/g1^9 - (t^7.451*y)/g1^3 + g1*t^7.516*y + g1^7*t^7.613*y + (t^8.741*y)/g1^16 + (2*t^8.806*y)/g1^12 + (2*t^8.838*y)/g1^10 + (2*t^8.87*y)/g1^8 + (t^8.903*y)/g1^6 + (3*t^8.935*y)/g1^4 + (t^8.968*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2607 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5955 | 0.758 | 0.7856 | [M:[0.8667, 1.0, 1.1333, 0.7333, 1.2667, 0.7333], q:[0.6333, 0.5], qb:[0.2333, 0.7667], phi:[0.4667]] | 2*t^2.2 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^4. + t^4.2 + 4*t^4.4 + 2*t^4.8 + 4*t^5. + 3*t^5.2 + 2*t^5.4 + 5*t^5.6 + 3*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 1191/2000, c: 379/500, M1: 13/15, M2: 1, M3: 17/15, M4: 11/15, M5: 19/15, M6: 11/15, q1: 19/30, q2: 1/2, qb1: 7/30, qb2: 23/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 964 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{6}$ | 0.7216 | 0.8864 | 0.8141 | [M:[0.8185, 1.0, 0.8261, 0.9925, 1.0075, 0.9925], q:[0.6815, 0.5], qb:[0.4925, 0.5075], phi:[0.4546]] | t^2.456 + t^2.478 + t^2.728 + 2*t^2.977 + t^3. + t^3.567 + t^4.319 + t^4.341 + 2*t^4.364 + t^4.387 + t^4.409 + t^4.886 + t^4.908 + t^4.911 + t^4.931 + t^4.934 + t^4.956 + t^5.183 + t^5.206 + t^5.433 + t^5.453 + 3*t^5.456 + 2*t^5.705 + t^5.728 + 2*t^5.955 - 3*t^6. - t^4.364/y - t^4.364*y | detail |