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 |
|---|---|---|---|---|---|---|---|---|---|
| 56976 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{7}^{2}$ | 0.5849 | 0.7338 | 0.797 | [M:[1.2857, 0.9551, 0.7143, 0.7592, 1.1429, 0.902, 1.0], q:[0.3796, 0.3347], qb:[0.6653, 0.9061], phi:[0.4286]] | [M:[[0], [2], [0], [-2], [0], [-2], [0]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -1 | t^2.143 + t^2.277 + t^2.706 + t^2.865 + t^3. + 2*t^3.429 + t^3.563 + t^3.857 + t^4.286 + t^4.42 + t^4.555 + t^4.714 + t^4.849 + t^4.984 + t^5.008 + 2*t^5.143 + t^5.277 + t^5.412 + 2*t^5.571 + 3*t^5.706 + t^5.731 + t^5.841 - t^6. + 2*t^6.135 + t^6.269 + t^6.294 + 2*t^6.429 + 2*t^6.563 + t^6.698 + t^6.832 + t^6.857 + 2*t^6.992 + 2*t^7.126 - t^7.151 + t^7.261 + t^7.286 + 3*t^7.42 + 2*t^7.555 + t^7.69 + 2*t^7.714 + 2*t^7.849 + t^7.874 + 3*t^7.984 + 2*t^8.118 - t^8.143 + 3*t^8.412 + t^8.547 + 2*t^8.571 + t^8.596 + 3*t^8.841 - 3*t^8.865 + 2*t^8.975 - t^4.286/y - t^6.563/y - t^6.992/y - t^7.151/y + (2*t^7.42)/y + t^7.58/y + t^7.849/y + t^7.984/y + (2*t^8.008)/y + (2*t^8.143)/y + t^8.277/y + (3*t^8.571)/y + (4*t^8.706)/y + t^8.865/y - t^4.286*y - t^6.563*y - t^6.992*y - t^7.151*y + 2*t^7.42*y + t^7.58*y + t^7.849*y + t^7.984*y + 2*t^8.008*y + 2*t^8.143*y + t^8.277*y + 3*t^8.571*y + 4*t^8.706*y + t^8.865*y | t^2.143 + t^2.277/g1^2 + t^2.706/g1^2 + g1^2*t^2.865 + t^3. + 2*t^3.429 + t^3.563/g1^2 + t^3.857 + t^4.286 + t^4.42/g1^2 + t^4.555/g1^4 + t^4.714 + t^4.849/g1^2 + t^4.984/g1^4 + g1^2*t^5.008 + 2*t^5.143 + t^5.277/g1^2 + t^5.412/g1^4 + 2*t^5.571 + (3*t^5.706)/g1^2 + g1^4*t^5.731 + t^5.841/g1^4 - t^6. + (2*t^6.135)/g1^2 + t^6.269/g1^4 + g1^2*t^6.294 + 2*t^6.429 + (2*t^6.563)/g1^2 + t^6.698/g1^4 + t^6.832/g1^6 + t^6.857 + (2*t^6.992)/g1^2 + (2*t^7.126)/g1^4 - g1^2*t^7.151 + t^7.261/g1^6 + t^7.286 + (3*t^7.42)/g1^2 + (2*t^7.555)/g1^4 + t^7.69/g1^6 + 2*t^7.714 + (2*t^7.849)/g1^2 + g1^4*t^7.874 + (3*t^7.984)/g1^4 + (2*t^8.118)/g1^6 - t^8.143 + (3*t^8.412)/g1^4 + t^8.547/g1^6 + 2*t^8.571 + g1^6*t^8.596 + (3*t^8.841)/g1^4 - 3*g1^2*t^8.865 + (2*t^8.975)/g1^6 - t^4.286/y - t^6.563/(g1^2*y) - t^6.992/(g1^2*y) - (g1^2*t^7.151)/y + (2*t^7.42)/(g1^2*y) + (g1^2*t^7.58)/y + t^7.849/(g1^2*y) + t^7.984/(g1^4*y) + (2*g1^2*t^8.008)/y + (2*t^8.143)/y + t^8.277/(g1^2*y) + (3*t^8.571)/y + (4*t^8.706)/(g1^2*y) + (g1^2*t^8.865)/y - t^4.286*y - (t^6.563*y)/g1^2 - (t^6.992*y)/g1^2 - g1^2*t^7.151*y + (2*t^7.42*y)/g1^2 + g1^2*t^7.58*y + (t^7.849*y)/g1^2 + (t^7.984*y)/g1^4 + 2*g1^2*t^8.008*y + 2*t^8.143*y + (t^8.277*y)/g1^2 + 3*t^8.571*y + (4*t^8.706*y)/g1^2 + g1^2*t^8.865*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 |
|---|---|---|---|---|---|---|---|---|
| 58785 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{7}^{2}$ + ${ }M_{4}M_{6}$ | 0.5562 | 0.6946 | 0.8008 | [M:[1.2857, 0.7857, 0.7143, 0.9286, 1.1429, 1.0714, 1.0], q:[0.4643, 0.25], qb:[0.75, 0.8214], phi:[0.4286]] | t^2.143 + t^2.357 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.857 + t^4.071 + t^4.286 + t^4.5 + 2*t^4.714 + t^4.929 + 2*t^5.143 + t^5.357 + 3*t^5.571 + 2*t^5.786 - t^4.286/y - t^4.286*y | detail | {a: 48837/87808, c: 60989/87808, M1: 9/7, M2: 11/14, M3: 5/7, M4: 13/14, M5: 8/7, M6: 15/14, M7: 1, q1: 13/28, q2: 1/4, qb1: 3/4, qb2: 23/28, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55365 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6596 | 0.8332 | 0.7916 | [M:[1.1456, 0.7427, 0.8544, 0.7847, 1.2363, 0.6939, 0.673], q:[0.3923, 0.4621], qb:[0.8649, 0.7532], phi:[0.3819]] | t^2.019 + t^2.082 + t^2.228 + t^2.354 + t^2.563 + t^3.437 + t^3.5 + 2*t^3.709 + t^4.038 + t^4.101 + t^4.164 + t^4.247 + t^4.31 + t^4.373 + t^4.436 + t^4.456 + 2*t^4.582 + t^4.645 + t^4.708 + t^4.792 + t^4.854 + t^4.917 + t^5.127 + t^5.456 + 2*t^5.518 + t^5.581 + t^5.665 + 2*t^5.728 + 2*t^5.791 + t^5.854 + t^5.937 - 2*t^6. - t^4.146/y - t^4.146*y | detail |