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 |
|---|---|---|---|---|---|---|---|---|---|
| 2465 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7082 | 0.8763 | 0.8082 | [M:[1.0292, 0.9124, 1.0876, 0.854, 1.0, 0.9416, 0.9124], q:[0.4416, 0.5292], qb:[0.4708, 0.6168], phi:[0.4854]] | [M:[[2], [-6], [6], [-10], [0], [-4], [-6]], q:[[-4], [2]], qb:[[-2], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.562 + 2*t^2.737 + t^2.825 + t^2.912 + t^3. + t^3.088 + t^4.106 + t^4.193 + t^4.281 + t^4.369 + t^4.456 + 2*t^4.631 + t^4.719 + t^4.894 + t^5.124 + t^5.157 + 2*t^5.299 + t^5.387 + 3*t^5.474 + 2*t^5.562 + 4*t^5.65 + t^5.737 + 3*t^5.825 + t^5.912 - 2*t^6. - t^6.175 - 2*t^6.263 - t^6.438 - t^6.526 + t^6.668 + t^6.755 + 3*t^6.843 + 3*t^6.931 + 4*t^7.018 + 4*t^7.106 + 4*t^7.193 + 3*t^7.281 + 3*t^7.369 + 2*t^7.456 + t^7.544 + t^7.631 + t^7.686 + 2*t^7.861 + t^7.949 + 3*t^8.036 + 2*t^8.124 + 7*t^8.212 + 3*t^8.299 + 7*t^8.387 + 4*t^8.474 + 3*t^8.562 + t^8.65 - t^8.737 - 3*t^8.825 - 3*t^8.912 - t^4.456/y - t^7.018/y - t^7.193/y - t^7.281/y + t^7.631/y + t^7.719/y + t^7.894/y + (2*t^8.299)/y + t^8.387/y + (2*t^8.474)/y + (3*t^8.562)/y + (3*t^8.65)/y + (3*t^8.737)/y + (3*t^8.825)/y + (2*t^8.912)/y - t^4.456*y - t^7.018*y - t^7.193*y - t^7.281*y + t^7.631*y + t^7.719*y + t^7.894*y + 2*t^8.299*y + t^8.387*y + 2*t^8.474*y + 3*t^8.562*y + 3*t^8.65*y + 3*t^8.737*y + 3*t^8.825*y + 2*t^8.912*y | t^2.562/g1^10 + (2*t^2.737)/g1^6 + t^2.825/g1^4 + t^2.912/g1^2 + t^3. + g1^2*t^3.088 + t^4.106/g1^9 + t^4.193/g1^7 + t^4.281/g1^5 + t^4.369/g1^3 + t^4.456/g1 + 2*g1^3*t^4.631 + g1^5*t^4.719 + g1^9*t^4.894 + t^5.124/g1^20 + g1^15*t^5.157 + (2*t^5.299)/g1^16 + t^5.387/g1^14 + (3*t^5.474)/g1^12 + (2*t^5.562)/g1^10 + (4*t^5.65)/g1^8 + t^5.737/g1^6 + (3*t^5.825)/g1^4 + t^5.912/g1^2 - 2*t^6. - g1^4*t^6.175 - 2*g1^6*t^6.263 - g1^10*t^6.438 - g1^12*t^6.526 + t^6.668/g1^19 + t^6.755/g1^17 + (3*t^6.843)/g1^15 + (3*t^6.931)/g1^13 + (4*t^7.018)/g1^11 + (4*t^7.106)/g1^9 + (4*t^7.193)/g1^7 + (3*t^7.281)/g1^5 + (3*t^7.369)/g1^3 + (2*t^7.456)/g1 + g1*t^7.544 + g1^3*t^7.631 + t^7.686/g1^30 + (2*t^7.861)/g1^26 + t^7.949/g1^24 + (3*t^8.036)/g1^22 + (2*t^8.124)/g1^20 + (7*t^8.212)/g1^18 + (3*t^8.299)/g1^16 + (7*t^8.387)/g1^14 + (4*t^8.474)/g1^12 + (3*t^8.562)/g1^10 + t^8.65/g1^8 - t^8.737/g1^6 - (3*t^8.825)/g1^4 - (3*t^8.912)/g1^2 - t^4.456/(g1*y) - t^7.018/(g1^11*y) - t^7.193/(g1^7*y) - t^7.281/(g1^5*y) + (g1^3*t^7.631)/y + (g1^5*t^7.719)/y + (g1^9*t^7.894)/y + (2*t^8.299)/(g1^16*y) + t^8.387/(g1^14*y) + (2*t^8.474)/(g1^12*y) + (3*t^8.562)/(g1^10*y) + (3*t^8.65)/(g1^8*y) + (3*t^8.737)/(g1^6*y) + (3*t^8.825)/(g1^4*y) + (2*t^8.912)/(g1^2*y) - (t^4.456*y)/g1 - (t^7.018*y)/g1^11 - (t^7.193*y)/g1^7 - (t^7.281*y)/g1^5 + g1^3*t^7.631*y + g1^5*t^7.719*y + g1^9*t^7.894*y + (2*t^8.299*y)/g1^16 + (t^8.387*y)/g1^14 + (2*t^8.474*y)/g1^12 + (3*t^8.562*y)/g1^10 + (3*t^8.65*y)/g1^8 + (3*t^8.737*y)/g1^6 + (3*t^8.825*y)/g1^4 + (2*t^8.912*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 |
|---|---|---|---|---|---|---|---|---|
| 4515 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}M_{8}$ | 0.711 | 0.882 | 0.8061 | [M:[1.0315, 0.9055, 1.0945, 0.8424, 1.0, 0.937, 0.9055, 0.9685], q:[0.437, 0.5315], qb:[0.4685, 0.6261], phi:[0.4842]] | t^2.527 + 2*t^2.716 + t^2.811 + 2*t^2.905 + t^3. + t^4.075 + t^4.169 + t^4.264 + t^4.358 + t^4.453 + 2*t^4.642 + t^4.736 + t^4.925 + t^5.055 + t^5.209 + 2*t^5.244 + t^5.338 + 4*t^5.433 + 2*t^5.527 + 5*t^5.622 + 2*t^5.716 + 3*t^5.811 + t^5.905 - 3*t^6. - t^4.453/y - t^4.453*y | detail | |
| 4514 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7055 | 0.871 | 0.81 | [M:[1.0269, 0.9194, 1.0806, 0.8656, 1.0, 0.9463, 0.9194, 1.0269], q:[0.4463, 0.5269], qb:[0.4731, 0.6075], phi:[0.4866]] | t^2.597 + 2*t^2.758 + t^2.839 + t^3. + 2*t^3.081 + t^4.137 + t^4.218 + t^4.298 + t^4.379 + t^4.46 + 2*t^4.621 + t^4.702 + t^4.863 + t^5.105 + t^5.194 + 2*t^5.355 + t^5.436 + 2*t^5.516 + 2*t^5.597 + 3*t^5.678 + 4*t^5.839 + t^5.919 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1420 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.701 | 0.8622 | 0.8131 | [M:[1.0224, 0.9327, 1.0673, 0.8879, 1.0, 0.9551], q:[0.4551, 0.5224], qb:[0.4776, 0.5897], phi:[0.4888]] | t^2.664 + t^2.798 + t^2.865 + t^2.933 + t^3. + t^3.067 + t^3.202 + t^4.197 + t^4.265 + t^4.332 + t^4.399 + t^4.466 + 2*t^4.601 + t^4.668 + t^4.803 + t^5.005 + t^5.327 + t^5.462 + t^5.529 + t^5.596 + t^5.664 + 3*t^5.731 + 3*t^5.865 + t^5.933 - t^6. - t^4.466/y - t^4.466*y | detail |