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 |
|---|---|---|---|---|---|---|---|---|---|
| 515 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7296 | 0.8971 | 0.8133 | [M:[0.8907, 1.0158, 0.7657, 0.9842, 0.8907], q:[0.5389, 0.5704], qb:[0.4454, 0.6639], phi:[0.4454]] | [M:[[0, -2], [1, -1], [-1, -3], [-1, 1], [0, -2]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.297 + 3*t^2.672 + t^2.953 + t^3.047 + t^3.608 + t^4.008 + t^4.289 + t^4.383 + t^4.569 + t^4.594 + 2*t^4.664 + t^4.759 + t^4.944 + 3*t^4.969 + t^5.039 + t^5.25 + t^5.32 + 6*t^5.344 + t^5.625 + t^5.72 + t^5.905 - 3*t^6. + t^6.28 + t^6.305 - 2*t^6.375 + t^6.561 + t^6.586 - t^6.656 + 3*t^6.68 + t^6.866 + t^6.891 + 4*t^6.961 + 3*t^7.056 + t^7.217 + 4*t^7.241 + 3*t^7.266 + 4*t^7.336 + 3*t^7.431 + t^7.522 + t^7.547 + 3*t^7.617 + 6*t^7.641 + t^7.711 + t^7.806 + t^7.922 + 10*t^8.017 - t^8.086 + t^8.178 + t^8.202 - 2*t^8.297 - t^8.367 + t^8.392 + t^8.553 + t^8.578 + t^8.602 - t^8.647 - 10*t^8.672 + 2*t^8.858 + t^8.883 + t^8.928 - 2*t^8.953 + 3*t^8.978 - t^4.336/y - t^6.633/y - (3*t^7.008)/y + (3*t^7.664)/y + (3*t^7.969)/y + t^8.039/y + t^8.25/y + (4*t^8.344)/y + (3*t^8.625)/y + (3*t^8.72)/y + t^8.905/y - t^8.93/y - t^4.336*y - t^6.633*y - 3*t^7.008*y + 3*t^7.664*y + 3*t^7.969*y + t^8.039*y + t^8.25*y + 4*t^8.344*y + 3*t^8.625*y + 3*t^8.72*y + t^8.905*y - t^8.93*y | t^2.297/(g1*g2^3) + (3*t^2.672)/g2^2 + (g2*t^2.953)/g1 + (g1*t^3.047)/g2 + (g2^5*t^3.608)/g1 + t^4.008/g2^3 + t^4.289/g1 + (g1*t^4.383)/g2^2 + (g2^3*t^4.569)/g1^2 + t^4.594/(g1^2*g2^6) + 2*g2*t^4.664 + (g1^2*t^4.759)/g2 + (g2^4*t^4.944)/g1 + (3*t^4.969)/(g1*g2^5) + g1*g2^2*t^5.039 + t^5.25/(g1^2*g2^2) + g2^5*t^5.32 + (6*t^5.344)/g2^4 + t^5.625/(g1*g2) + (g1*t^5.72)/g2^3 + (g2^2*t^5.905)/g1^2 - 3*t^6. + (g2^3*t^6.28)/g1 + t^6.305/(g1*g2^6) - 2*g1*g2*t^6.375 + (g2^6*t^6.561)/g1^2 + t^6.586/(g1^2*g2^3) - g2^4*t^6.656 + (3*t^6.68)/g2^5 + t^6.866/g1^3 + t^6.891/(g1^3*g2^9) + (4*t^6.961)/(g1*g2^2) + (3*g1*t^7.056)/g2^4 + (g2^10*t^7.217)/g1^2 + (4*g2*t^7.241)/g1^2 + (3*t^7.266)/(g1^2*g2^8) + (4*t^7.336)/g2 + (3*g1^2*t^7.431)/g2^3 + (g2^4*t^7.522)/g1^3 + t^7.547/(g1^3*g2^5) + (3*g2^2*t^7.617)/g1 + (6*t^7.641)/(g1*g2^7) + g1*t^7.711 + (g1^3*t^7.806)/g2^2 + t^7.922/(g1^2*g2^4) + (10*t^8.017)/g2^6 - g1^2*g2*t^8.086 + (g2^8*t^8.178)/g1^3 + t^8.202/(g1^3*g2) - (2*t^8.297)/(g1*g2^3) - g1*g2^4*t^8.367 + (g1*t^8.392)/g2^5 + (g2^9*t^8.553)/g1^2 + t^8.578/g1^2 + t^8.602/(g1^2*g2^9) - g2^7*t^8.647 - (10*t^8.672)/g2^2 + (2*g2^3*t^8.858)/g1^3 + t^8.883/(g1^3*g2^6) + (g2^10*t^8.928)/g1 - (2*g2*t^8.953)/g1 + (3*t^8.978)/(g1*g2^8) - t^4.336/(g2*y) - t^6.633/(g1*g2^4*y) - (3*t^7.008)/(g2^3*y) + (3*g2*t^7.664)/y + (3*t^7.969)/(g1*g2^5*y) + (g1*g2^2*t^8.039)/y + t^8.25/(g1^2*g2^2*y) + (4*t^8.344)/(g2^4*y) + (3*t^8.625)/(g1*g2*y) + (3*g1*t^8.72)/(g2^3*y) + (g2^2*t^8.905)/(g1^2*y) - t^8.93/(g1^2*g2^7*y) - (t^4.336*y)/g2 - (t^6.633*y)/(g1*g2^4) - (3*t^7.008*y)/g2^3 + 3*g2*t^7.664*y + (3*t^7.969*y)/(g1*g2^5) + g1*g2^2*t^8.039*y + (t^8.25*y)/(g1^2*g2^2) + (4*t^8.344*y)/g2^4 + (3*t^8.625*y)/(g1*g2) + (3*g1*t^8.72*y)/g2^3 + (g2^2*t^8.905*y)/g1^2 - (t^8.93*y)/(g1^2*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 805 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7476 | 0.931 | 0.803 | [M:[0.8758, 1.0, 0.7516, 1.0, 0.8758, 0.7516], q:[0.5621, 0.5621], qb:[0.4379, 0.6863], phi:[0.4379]] | 2*t^2.255 + 3*t^2.627 + 2*t^3. + t^3.941 + 2*t^4.314 + 3*t^4.51 + 4*t^4.686 + 6*t^4.882 + 2*t^5.059 + 9*t^5.255 + t^5.432 + 2*t^5.627 - 3*t^6. - t^4.314/y - t^4.314*y | detail | |
| 1867 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6567 | 0.8256 | 0.7954 | [M:[0.7658, 0.8514, 0.6801, 1.1486, 0.7658], q:[0.7658, 0.4685], qb:[0.3829, 0.8514], phi:[0.3829]] | t^2.04 + 3*t^2.297 + t^2.554 + 2*t^3.446 + t^3.703 + t^3.96 + t^4.081 + 3*t^4.338 + 7*t^4.595 + 4*t^4.851 + t^5.108 + 2*t^5.486 + 5*t^5.743 + t^6. - t^4.149/y - t^4.149*y | detail | |
| 1866 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6487 | 0.8083 | 0.8026 | [M:[0.8266, 0.7934, 0.8598, 1.2066, 0.8266], q:[0.7934, 0.3801], qb:[0.4133, 0.7601], phi:[0.4133]] | t^2.38 + 3*t^2.48 + t^2.579 + t^3.52 + 2*t^3.62 + t^3.72 + 2*t^4.66 + 2*t^4.76 + 2*t^4.86 + 6*t^4.96 + 3*t^5.059 + t^5.159 + t^5.801 + t^6. - t^4.24/y - t^4.24*y | detail | |
| 1868 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.6359 | 0.7849 | 0.8102 | [X:[1.616], M:[0.7681, 1.1521, 0.384, 0.8479, 0.7681], q:[0.4639, 0.7681], qb:[0.384, 0.8479], phi:[0.384]] | 3*t^2.304 + t^2.544 + 2*t^3.456 + t^3.696 + 2*t^3.935 + 6*t^4.608 + 4*t^4.848 + t^5.087 + 4*t^5.761 - t^4.152/y - t^4.152*y | detail | |
| 1865 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}X_{1}$ | 0.6393 | 0.7913 | 0.808 | [X:[1.4928], M:[0.8612, 1.2153, 0.5072, 0.7847, 0.8612], q:[0.3541, 0.7847], qb:[0.4306, 0.7081], phi:[0.4306]] | t^2.354 + 3*t^2.584 + t^3.187 + t^3.416 + 2*t^3.646 + t^3.876 + 2*t^4.479 + 2*t^4.708 + 2*t^4.938 + 5*t^5.167 + 2*t^5.541 + 3*t^5.77 + t^6. - t^4.292/y - t^4.292*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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. - t^4.357/y - t^4.357*y | detail |