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 |
|---|---|---|---|---|---|---|---|---|---|
| 4725 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6892 | 0.8731 | 0.7894 | [M:[1.0648, 0.8192, 1.058, 0.8259, 1.1741, 0.7031, 0.942, 0.8259], q:[0.5256, 0.4096], qb:[0.4163, 0.7645], phi:[0.471]] | [M:[[-30], [22], [4], [-12], [12], [14], [-4], [-12]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.109 + t^2.457 + 2*t^2.478 + 2*t^2.826 + t^3.194 + 2*t^3.87 + t^3.911 + 2*t^4.219 + t^4.239 + 2*t^4.567 + 2*t^4.587 + t^4.915 + 4*t^4.935 + 3*t^4.955 + 2*t^5.283 + 5*t^5.304 + 3*t^5.652 + t^5.672 + t^5.98 - 3*t^6. + 2*t^6.02 + 3*t^6.328 + 2*t^6.348 + 3*t^6.389 + 3*t^6.676 + 7*t^6.696 + 2*t^6.737 + 2*t^7.024 + 5*t^7.045 + 4*t^7.065 - 2*t^7.085 + t^7.105 + t^7.372 + 4*t^7.393 + 5*t^7.413 + 3*t^7.433 + 2*t^7.741 + 5*t^7.761 + 7*t^7.781 + t^7.822 + 2*t^8.089 - t^8.109 + 6*t^8.13 + 2*t^8.15 + 4*t^8.437 - 4*t^8.457 - 2*t^8.478 + 3*t^8.498 + 5*t^8.785 + 5*t^8.806 - 6*t^8.826 + 4*t^8.846 + 4*t^8.866 - t^4.413/y - t^6.522/y - t^6.87/y - t^6.891/y + t^7.219/y - t^7.239/y + t^7.567/y + (3*t^7.587)/y - t^7.607/y + (5*t^7.935)/y + (2*t^7.955)/y + (2*t^8.283)/y + (6*t^8.304)/y - t^8.632/y + (2*t^8.652)/y + (2*t^8.672)/y + t^8.98/y - t^4.413*y - t^6.522*y - t^6.87*y - t^6.891*y + t^7.219*y - t^7.239*y + t^7.567*y + 3*t^7.587*y - t^7.607*y + 5*t^7.935*y + 2*t^7.955*y + 2*t^8.283*y + 6*t^8.304*y - t^8.632*y + 2*t^8.652*y + 2*t^8.672*y + t^8.98*y | g1^14*t^2.109 + g1^22*t^2.457 + (2*t^2.478)/g1^12 + (2*t^2.826)/g1^4 + t^3.194/g1^30 + 2*g1^20*t^3.87 + t^3.911/g1^48 + 2*g1^28*t^4.219 + t^4.239/g1^6 + 2*g1^36*t^4.567 + 2*g1^2*t^4.587 + g1^44*t^4.915 + 4*g1^10*t^4.935 + (3*t^4.955)/g1^24 + 2*g1^18*t^5.283 + (5*t^5.304)/g1^16 + (3*t^5.652)/g1^8 + t^5.672/g1^42 + g1^34*t^5.98 - 3*t^6. + (2*t^6.02)/g1^34 + 3*g1^42*t^6.328 + 2*g1^8*t^6.348 + (3*t^6.389)/g1^60 + 3*g1^50*t^6.676 + 7*g1^16*t^6.696 + (2*t^6.737)/g1^52 + 2*g1^58*t^7.024 + 5*g1^24*t^7.045 + (4*t^7.065)/g1^10 - (2*t^7.085)/g1^44 + t^7.105/g1^78 + g1^66*t^7.372 + 4*g1^32*t^7.393 + (5*t^7.413)/g1^2 + (3*t^7.433)/g1^36 + 2*g1^40*t^7.741 + 5*g1^6*t^7.761 + (7*t^7.781)/g1^28 + t^7.822/g1^96 + 2*g1^48*t^8.089 - g1^14*t^8.109 + (6*t^8.13)/g1^20 + (2*t^8.15)/g1^54 + 4*g1^56*t^8.437 - 4*g1^22*t^8.457 - (2*t^8.478)/g1^12 + (3*t^8.498)/g1^46 + 5*g1^64*t^8.785 + 5*g1^30*t^8.806 - (6*t^8.826)/g1^4 + (4*t^8.846)/g1^38 + (4*t^8.866)/g1^72 - t^4.413/(g1^2*y) - (g1^12*t^6.522)/y - (g1^20*t^6.87)/y - t^6.891/(g1^14*y) + (g1^28*t^7.219)/y - t^7.239/(g1^6*y) + (g1^36*t^7.567)/y + (3*g1^2*t^7.587)/y - t^7.607/(g1^32*y) + (5*g1^10*t^7.935)/y + (2*t^7.955)/(g1^24*y) + (2*g1^18*t^8.283)/y + (6*t^8.304)/(g1^16*y) - (g1^26*t^8.632)/y + (2*t^8.652)/(g1^8*y) + (2*t^8.672)/(g1^42*y) + (g1^34*t^8.98)/y - (t^4.413*y)/g1^2 - g1^12*t^6.522*y - g1^20*t^6.87*y - (t^6.891*y)/g1^14 + g1^28*t^7.219*y - (t^7.239*y)/g1^6 + g1^36*t^7.567*y + 3*g1^2*t^7.587*y - (t^7.607*y)/g1^32 + 5*g1^10*t^7.935*y + (2*t^7.955*y)/g1^24 + 2*g1^18*t^8.283*y + (6*t^8.304*y)/g1^16 - g1^26*t^8.632*y + (2*t^8.652*y)/g1^8 + (2*t^8.672*y)/g1^42 + g1^34*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 6317 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7099 | 0.9135 | 0.7771 | [M:[1.0718, 0.814, 1.0571, 0.8287, 1.1713, 0.6998, 0.9429, 0.8287, 0.6851], q:[0.5212, 0.407], qb:[0.4217, 0.7643], phi:[0.4715]] | t^2.055 + t^2.099 + t^2.442 + 2*t^2.486 + 2*t^2.829 + t^3.215 + 2*t^3.856 + t^4.11 + t^4.155 + 2*t^4.199 + t^4.243 + t^4.497 + 4*t^4.541 + 2*t^4.586 + 3*t^4.884 + 4*t^4.928 + 3*t^4.972 + 3*t^5.271 + 5*t^5.315 + 3*t^5.657 + t^5.702 + 2*t^5.912 + t^5.956 - 3*t^6. - t^4.414/y - t^4.414*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2617 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6745 | 0.8479 | 0.7955 | [M:[1.077, 0.8102, 1.0564, 0.8308, 1.1692, 0.6974, 0.9436], q:[0.5179, 0.4051], qb:[0.4257, 0.7641], phi:[0.4718]] | t^2.092 + t^2.431 + t^2.492 + 2*t^2.831 + t^3.231 + t^3.508 + 2*t^3.846 + t^3.969 + 2*t^4.184 + t^4.246 + 2*t^4.523 + t^4.585 + t^4.861 + 3*t^4.923 + t^4.985 + 2*t^5.261 + 3*t^5.323 + t^5.6 + 3*t^5.662 + 2*t^5.938 - 2*t^6. - t^4.415/y - t^4.415*y | detail |