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 |
|---|---|---|---|---|---|---|---|---|---|
| 1014 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6606 | 0.8481 | 0.7789 | [M:[1.2191, 1.1096, 0.7809, 0.8904, 0.7809, 0.7191], q:[0.75, 0.4213], qb:[0.3596, 0.4691], phi:[0.5]] | [M:[[2], [1], [-2], [-1], [-2], [2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | 1 | t^2.157 + 2*t^2.343 + t^2.486 + t^2.671 + t^3. + t^3.329 + t^3.514 + t^3.657 + t^3.986 + t^4.028 + t^4.171 + 2*t^4.315 + 2*t^4.5 + t^4.643 + 3*t^4.685 + 3*t^4.829 + t^4.972 + 2*t^5.014 + 2*t^5.157 + 3*t^5.343 + 2*t^5.486 + 3*t^5.671 + t^5.815 + t^5.857 + t^6. + t^6.143 + t^6.185 + 2*t^6.329 + 2*t^6.37 + 3*t^6.472 + 2*t^6.514 + 5*t^6.657 + t^6.699 + 2*t^6.801 + 3*t^6.843 + 4*t^6.986 + 5*t^7.028 + t^7.13 + 3*t^7.171 + 4*t^7.315 + 2*t^7.357 + t^7.458 + 3*t^7.5 + t^7.542 + 3*t^7.643 + 4*t^7.685 + 4*t^7.829 + 3*t^7.972 + 4*t^8.014 + t^8.056 + 2*t^8.199 + 2*t^8.301 + 2*t^8.343 + t^8.486 + t^8.528 + 4*t^8.63 + 3*t^8.713 + 4*t^8.815 + 3*t^8.857 + 3*t^8.958 - t^4.5/y - t^6.657/y - t^6.843/y + (2*t^7.5)/y + t^7.643/y + t^7.685/y + (3*t^7.829)/y + (2*t^8.014)/y + (3*t^8.157)/y + (3*t^8.343)/y + (2*t^8.486)/y + (4*t^8.671)/y + t^8.815/y + (2*t^8.857)/y - t^4.5*y - t^6.657*y - t^6.843*y + 2*t^7.5*y + t^7.643*y + t^7.685*y + 3*t^7.829*y + 2*t^8.014*y + 3*t^8.157*y + 3*t^8.343*y + 2*t^8.486*y + 4*t^8.671*y + t^8.815*y + 2*t^8.857*y | g1^2*t^2.157 + (2*t^2.343)/g1^2 + g1^3*t^2.486 + t^2.671/g1 + t^3. + g1*t^3.329 + t^3.514/g1^3 + g1^2*t^3.657 + g1^3*t^3.986 + t^4.028/g1^6 + t^4.171/g1 + 2*g1^4*t^4.315 + 2*t^4.5 + g1^5*t^4.643 + (3*t^4.685)/g1^4 + 3*g1*t^4.829 + g1^6*t^4.972 + (2*t^5.014)/g1^3 + 2*g1^2*t^5.157 + (3*t^5.343)/g1^2 + 2*g1^3*t^5.486 + (3*t^5.671)/g1 + g1^4*t^5.815 + t^5.857/g1^5 + t^6. + g1^5*t^6.143 + t^6.185/g1^4 + 2*g1*t^6.329 + (2*t^6.37)/g1^8 + 3*g1^6*t^6.472 + (2*t^6.514)/g1^3 + 5*g1^2*t^6.657 + t^6.699/g1^7 + 2*g1^7*t^6.801 + (3*t^6.843)/g1^2 + 4*g1^3*t^6.986 + (5*t^7.028)/g1^6 + g1^8*t^7.13 + (3*t^7.171)/g1 + 4*g1^4*t^7.315 + (2*t^7.357)/g1^5 + g1^9*t^7.458 + 3*t^7.5 + t^7.542/g1^9 + 3*g1^5*t^7.643 + (4*t^7.685)/g1^4 + 4*g1*t^7.829 + 3*g1^6*t^7.972 + (4*t^8.014)/g1^3 + t^8.056/g1^12 + (2*t^8.199)/g1^7 + 2*g1^7*t^8.301 + (2*t^8.343)/g1^2 + g1^3*t^8.486 + t^8.528/g1^6 + 4*g1^8*t^8.63 + (3*t^8.713)/g1^10 + 4*g1^4*t^8.815 + (3*t^8.857)/g1^5 + 3*g1^9*t^8.958 - t^4.5/y - (g1^2*t^6.657)/y - t^6.843/(g1^2*y) + (2*t^7.5)/y + (g1^5*t^7.643)/y + t^7.685/(g1^4*y) + (3*g1*t^7.829)/y + (2*t^8.014)/(g1^3*y) + (3*g1^2*t^8.157)/y + (3*t^8.343)/(g1^2*y) + (2*g1^3*t^8.486)/y + (4*t^8.671)/(g1*y) + (g1^4*t^8.815)/y + (2*t^8.857)/(g1^5*y) - t^4.5*y - g1^2*t^6.657*y - (t^6.843*y)/g1^2 + 2*t^7.5*y + g1^5*t^7.643*y + (t^7.685*y)/g1^4 + 3*g1*t^7.829*y + (2*t^8.014*y)/g1^3 + 3*g1^2*t^8.157*y + (3*t^8.343*y)/g1^2 + 2*g1^3*t^8.486*y + (4*t^8.671*y)/g1 + g1^4*t^8.815*y + (2*t^8.857*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1584 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6815 | 0.8895 | 0.7661 | [M:[1.2196, 1.1098, 0.7804, 0.8902, 0.7804, 0.7196, 0.6706], q:[0.75, 0.4206], qb:[0.3598, 0.4696], phi:[0.5]] | t^2.012 + t^2.159 + 2*t^2.341 + t^2.488 + t^2.671 + t^3. + t^3.329 + t^3.512 + t^3.659 + 2*t^4.024 + 2*t^4.171 + 2*t^4.317 + 2*t^4.353 + 3*t^4.5 + t^4.647 + 4*t^4.683 + 3*t^4.829 + t^4.976 + 3*t^5.012 + 2*t^5.159 + 4*t^5.341 + 2*t^5.488 + t^5.524 + 4*t^5.671 + t^5.817 + t^5.853 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 2114 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6706 | 0.8652 | 0.7752 | [M:[1.2246, 1.1123, 0.7754, 0.8877, 0.7754, 0.7246, 0.8877], q:[0.75, 0.4131], qb:[0.3623, 0.4746], phi:[0.5]] | t^2.174 + 2*t^2.326 + t^2.511 + 2*t^2.663 + t^3. + t^3.489 + t^3.674 + t^3.979 + t^4.011 + t^4.163 + 2*t^4.348 + 2*t^4.5 + 3*t^4.652 + t^4.685 + 4*t^4.837 + 4*t^4.989 + t^5.021 + 3*t^5.174 + 5*t^5.326 + t^5.511 + 2*t^5.663 + t^5.815 - t^4.5/y - t^4.5*y | detail | |
| 2115 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6784 | 0.88 | 0.7709 | [M:[1.2258, 1.1129, 0.7742, 0.8871, 0.7742, 0.7258, 0.7742], q:[0.75, 0.4113], qb:[0.3629, 0.4758], phi:[0.5]] | t^2.177 + 3*t^2.323 + t^2.516 + t^2.661 + t^3. + t^3.339 + t^3.484 + t^3.968 + t^4.016 + t^4.161 + 2*t^4.355 + 3*t^4.5 + 6*t^4.645 + t^4.694 + 4*t^4.839 + 3*t^4.984 + t^5.032 + 2*t^5.177 + 4*t^5.323 + 2*t^5.516 + 4*t^5.661 + 2*t^5.806 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 1585 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6467 | 0.8249 | 0.784 | [M:[1.2339, 1.1169, 0.7661, 0.8831, 0.7661, 0.7339, 1.1492], q:[0.75, 0.3992], qb:[0.3669, 0.4839], phi:[0.5]] | t^2.202 + 2*t^2.298 + t^2.649 + t^3. + t^3.351 + 2*t^3.448 + t^3.702 + t^3.895 + t^4.052 + t^4.149 + 2*t^4.403 + 2*t^4.5 + 3*t^4.597 + t^4.851 + 2*t^4.948 + t^5.202 + 3*t^5.298 + t^5.552 + 4*t^5.649 + 3*t^5.746 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 637 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6406 | 0.8108 | 0.7901 | [M:[1.223, 1.1115, 0.777, 0.8885, 0.777], q:[0.75, 0.4156], qb:[0.3615, 0.473], phi:[0.5]] | 2*t^2.331 + t^2.503 + t^2.666 + t^3. + t^3.334 + t^3.497 + t^3.669 + t^3.831 + t^3.993 + t^4.003 + t^4.166 + t^4.338 + 3*t^4.662 + 2*t^4.834 + 2*t^4.997 + t^5.007 + t^5.169 + 3*t^5.331 + t^5.503 + 2*t^5.666 + t^5.828 + t^6. - t^4.5/y - t^4.5*y | detail |