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 |
|---|---|---|---|---|---|---|---|---|---|
| 4798 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ | 0.6217 | 0.7664 | 0.8112 | [X:[1.4074], M:[1.0372, 0.5926, 0.7223, 0.9074, 1.0926, 0.6851, 1.0, 1.2777], q:[0.6665, 0.2963], qb:[0.6112, 0.7963], phi:[0.4074]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [-4], [0], [-6]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}M_{8}$ | ${}$ | -1 | t^2.055 + t^2.445 + t^2.722 + t^3. + t^3.112 + t^3.278 + t^3.833 + 2*t^4.111 + t^4.222 + t^4.388 + t^4.5 + t^4.778 + t^4.889 + t^5.055 + 2*t^5.167 + t^5.221 + t^5.333 + 2*t^5.445 + t^5.556 + t^5.722 + t^5.888 - t^6. + t^6.166 + t^6.223 + 2*t^6.278 + t^6.444 + 2*t^6.555 + 2*t^6.833 + 2*t^6.945 - t^7.056 + 2*t^7.111 + t^7.222 + t^7.277 + 2*t^7.334 + t^7.388 + 2*t^7.5 + 2*t^7.612 + 2*t^7.666 + t^7.889 + 2*t^7.944 + 2*t^8.001 - 2*t^8.055 + t^8.167 + 3*t^8.221 + t^8.279 + 2*t^8.333 - t^8.445 + 2*t^8.499 + t^8.611 + t^8.668 - t^8.722 + t^8.888 - t^4.222/y - t^6.278/y - t^6.667/y + t^7.111/y - t^7.334/y + t^7.5/y + (2*t^7.778)/y + t^8.055/y + (3*t^8.167)/y + t^8.445/y + t^8.556/y + t^8.722/y + t^8.834/y + t^8.888/y - t^4.222*y - t^6.278*y - t^6.667*y + t^7.111*y - t^7.334*y + t^7.5*y + 2*t^7.778*y + t^8.055*y + 3*t^8.167*y + t^8.445*y + t^8.556*y + t^8.722*y + t^8.834*y + t^8.888*y | t^2.055/g1^4 + g1^4*t^2.445 + g1^2*t^2.722 + t^3. + g1^10*t^3.112 + t^3.278/g1^2 + t^3.833/g1^6 + (2*t^4.111)/g1^8 + g1^2*t^4.222 + t^4.388/g1^10 + t^4.5 + t^4.778/g1^2 + g1^8*t^4.889 + t^5.055/g1^4 + 2*g1^6*t^5.167 + t^5.221/g1^16 + t^5.333/g1^6 + 2*g1^4*t^5.445 + g1^14*t^5.556 + g1^2*t^5.722 + t^5.888/g1^10 - t^6. + t^6.166/g1^12 + g1^20*t^6.223 + (2*t^6.278)/g1^2 + t^6.444/g1^14 + (2*t^6.555)/g1^4 + (2*t^6.833)/g1^6 + 2*g1^4*t^6.945 - g1^14*t^7.056 + (2*t^7.111)/g1^8 + g1^2*t^7.222 + t^7.277/g1^20 + 2*g1^12*t^7.334 + t^7.388/g1^10 + 2*t^7.5 + 2*g1^10*t^7.612 + (2*t^7.666)/g1^12 + g1^8*t^7.889 + (2*t^7.944)/g1^14 + 2*g1^18*t^8.001 - (2*t^8.055)/g1^4 + g1^6*t^8.167 + (3*t^8.221)/g1^16 + g1^16*t^8.279 + (2*t^8.333)/g1^6 - g1^4*t^8.445 + (2*t^8.499)/g1^18 + t^8.611/g1^8 + g1^24*t^8.668 - g1^2*t^8.722 + t^8.888/g1^10 - (g1^2*t^4.222)/y - t^6.278/(g1^2*y) - (g1^6*t^6.667)/y + t^7.111/(g1^8*y) - (g1^12*t^7.334)/y + t^7.5/y + (2*t^7.778)/(g1^2*y) + t^8.055/(g1^4*y) + (3*g1^6*t^8.167)/y + (g1^4*t^8.445)/y + (g1^14*t^8.556)/y + (g1^2*t^8.722)/y + (g1^12*t^8.834)/y + t^8.888/(g1^10*y) - g1^2*t^4.222*y - (t^6.278*y)/g1^2 - g1^6*t^6.667*y + (t^7.111*y)/g1^8 - g1^12*t^7.334*y + t^7.5*y + (2*t^7.778*y)/g1^2 + (t^8.055*y)/g1^4 + 3*g1^6*t^8.167*y + g1^4*t^8.445*y + g1^14*t^8.556*y + g1^2*t^8.722*y + g1^12*t^8.834*y + (t^8.888*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 |
|---|---|---|---|---|---|---|---|---|
| 6396 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{9}$ | 0.6303 | 0.7806 | 0.8075 | [X:[1.4046], M:[1.0229, 0.5954, 0.7137, 0.9046, 1.0954, 0.6909, 1.0, 1.2863, 0.9046], q:[0.6794, 0.2977], qb:[0.6069, 0.7977], phi:[0.4046]] | t^2.073 + t^2.427 + 2*t^2.714 + t^3. + t^3.069 + t^3.859 + 2*t^4.145 + t^4.214 + t^4.431 + t^4.5 + 2*t^4.786 + t^4.855 + t^5.073 + 3*t^5.141 + t^5.29 + 4*t^5.427 + t^5.496 + t^5.714 + t^5.782 + t^5.931 - 2*t^6. - t^4.214/y - t^4.214*y | detail | |
| 6397 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{8}M_{9}$ | 0.6419 | 0.804 | 0.7983 | [X:[1.4049], M:[1.0246, 0.5951, 0.7148, 0.9049, 1.0951, 0.6901, 1.0, 1.2852, 0.7148], q:[0.6778, 0.2975], qb:[0.6074, 0.7975], phi:[0.4049]] | t^2.07 + t^2.144 + t^2.43 + t^2.715 + t^3. + t^3.074 + t^3.285 + 2*t^4.141 + 2*t^4.215 + t^4.289 + t^4.426 + t^4.5 + t^4.574 + t^4.785 + 2*t^4.859 + t^5.07 + 3*t^5.144 + t^5.218 + t^5.282 + t^5.356 + 3*t^5.43 + t^5.504 + t^5.715 - t^6. - t^4.215/y - t^4.215*y | detail | |
| 6395 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{7}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6065 | 0.7407 | 0.8188 | [X:[1.4119], M:[1.0595, 0.5881, 0.7357, 0.9119, 1.0881, 0.6762, 1.0, 1.2643, 1.1762], q:[0.6464, 0.294], qb:[0.6179, 0.794], phi:[0.4119]] | t^2.029 + t^2.736 + t^3. + t^3.179 + t^3.264 + t^3.529 + t^3.793 + 2*t^4.057 + t^4.236 + t^4.321 + t^4.764 + t^5.029 + t^5.114 + t^5.207 + t^5.293 + t^5.471 + t^5.557 + t^5.821 - t^6. - t^4.236/y - t^4.236*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2647 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6995 | 0.8854 | 0.79 | [M:[1.022, 0.7855, 0.9743, 0.8332, 1.1668, 0.7149, 0.7627, 1.0257], q:[0.5853, 0.3927], qb:[0.4405, 0.7741], phi:[0.4519]] | t^2.145 + t^2.288 + t^2.356 + t^2.5 + t^2.711 + t^3.066 + t^3.077 + t^3.5 + t^3.998 + t^4.078 + 2*t^4.29 + 2*t^4.433 + t^4.501 + t^4.576 + 2*t^4.644 + t^4.713 + t^4.788 + 2*t^4.856 + t^4.867 + 2*t^4.999 + t^5.068 + 2*t^5.211 + t^5.222 + t^5.354 + t^5.365 + t^5.422 + t^5.434 + t^5.577 + t^5.645 + t^5.777 + 2*t^5.788 - 2*t^6. - t^4.356/y - t^4.356*y | detail |