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 |
|---|---|---|---|---|---|---|---|---|---|
| 2218 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.6635 | 0.8279 | 0.8015 | [M:[1.1701, 1.0816, 0.9627, 0.8299, 0.7109, 0.8741, 1.0373], q:[0.7704, 0.3555], qb:[0.4744, 0.5629], phi:[0.4592]] | [M:[[8], [-4], [10], [-8], [6], [-2], [-10]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.133 + t^2.49 + t^2.622 + t^2.755 + t^3.112 + t^3.245 + t^3.51 + t^3.734 + t^4. + t^4.133 + t^4.224 + t^4.266 + t^4.49 + t^4.622 + 2*t^4.755 + t^4.888 + t^4.979 + t^5.112 + 3*t^5.245 + t^5.378 + t^5.51 + t^5.602 + t^5.734 + 3*t^5.867 - t^6. + t^6.133 + 2*t^6.224 + t^6.266 + 2*t^6.357 + t^6.398 + t^6.49 + t^6.622 + t^6.713 + t^6.755 + 2*t^6.846 + 2*t^6.888 + 2*t^6.979 + t^7.021 + t^7.112 + 3*t^7.245 + t^7.336 + 2*t^7.378 + 2*t^7.469 + 2*t^7.51 + t^7.602 + t^7.643 + 3*t^7.734 + 2*t^7.867 + t^7.958 + 3*t^8. + t^8.091 - 2*t^8.133 + 2*t^8.224 + 2*t^8.266 + 3*t^8.357 + t^8.448 + 2*t^8.49 + t^8.531 - t^8.622 + 3*t^8.713 - t^8.755 + 2*t^8.846 + 5*t^8.979 - t^4.378/y - t^6.51/y - t^7./y + t^7.622/y + (2*t^7.755)/y + t^7.888/y + t^8.112/y + (3*t^8.245)/y + (2*t^8.378)/y + t^8.602/y + (2*t^8.734)/y + (3*t^8.867)/y - t^4.378*y - t^6.51*y - t^7.*y + t^7.622*y + 2*t^7.755*y + t^7.888*y + t^8.112*y + 3*t^8.245*y + 2*t^8.378*y + t^8.602*y + 2*t^8.734*y + 3*t^8.867*y | g1^6*t^2.133 + t^2.49/g1^8 + t^2.622/g1^2 + g1^4*t^2.755 + t^3.112/g1^10 + t^3.245/g1^4 + g1^8*t^3.51 + t^3.734/g1^12 + t^4. + g1^6*t^4.133 + t^4.224/g1^20 + g1^12*t^4.266 + t^4.49/g1^8 + t^4.622/g1^2 + 2*g1^4*t^4.755 + g1^10*t^4.888 + t^4.979/g1^16 + t^5.112/g1^10 + (3*t^5.245)/g1^4 + g1^2*t^5.378 + g1^8*t^5.51 + t^5.602/g1^18 + t^5.734/g1^12 + (3*t^5.867)/g1^6 - t^6. + g1^6*t^6.133 + (2*t^6.224)/g1^20 + g1^12*t^6.266 + (2*t^6.357)/g1^14 + g1^18*t^6.398 + t^6.49/g1^8 + t^6.622/g1^2 + t^6.713/g1^28 + g1^4*t^6.755 + (2*t^6.846)/g1^22 + 2*g1^10*t^6.888 + (2*t^6.979)/g1^16 + g1^16*t^7.021 + t^7.112/g1^10 + (3*t^7.245)/g1^4 + t^7.336/g1^30 + 2*g1^2*t^7.378 + (2*t^7.469)/g1^24 + 2*g1^8*t^7.51 + t^7.602/g1^18 + g1^14*t^7.643 + (3*t^7.734)/g1^12 + (2*t^7.867)/g1^6 + t^7.958/g1^32 + 3*t^8. + t^8.091/g1^26 - 2*g1^6*t^8.133 + (2*t^8.224)/g1^20 + 2*g1^12*t^8.266 + (3*t^8.357)/g1^14 + t^8.448/g1^40 + (2*t^8.49)/g1^8 + g1^24*t^8.531 - t^8.622/g1^2 + (3*t^8.713)/g1^28 - g1^4*t^8.755 + (2*t^8.846)/g1^22 + (5*t^8.979)/g1^16 - (g1^2*t^4.378)/y - (g1^8*t^6.51)/y - t^7./y + t^7.622/(g1^2*y) + (2*g1^4*t^7.755)/y + (g1^10*t^7.888)/y + t^8.112/(g1^10*y) + (3*t^8.245)/(g1^4*y) + (2*g1^2*t^8.378)/y + t^8.602/(g1^18*y) + (2*t^8.734)/(g1^12*y) + (3*t^8.867)/(g1^6*y) - g1^2*t^4.378*y - g1^8*t^6.51*y - t^7.*y + (t^7.622*y)/g1^2 + 2*g1^4*t^7.755*y + g1^10*t^7.888*y + (t^8.112*y)/g1^10 + (3*t^8.245*y)/g1^4 + 2*g1^2*t^8.378*y + (t^8.602*y)/g1^18 + (2*t^8.734*y)/g1^12 + (3*t^8.867*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4222 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6713 | 0.8402 | 0.7989 | [M:[1.1594, 1.087, 0.9493, 0.8406, 0.7029, 0.8768, 1.0507, 0.913], q:[0.7717, 0.3515], qb:[0.4891, 0.5616], phi:[0.4565]] | t^2.109 + t^2.522 + t^2.63 + 2*t^2.739 + t^3.152 + t^3.478 + t^3.783 + t^4. + t^4.109 + t^4.217 + t^4.304 + t^4.522 + t^4.63 + 2*t^4.739 + 2*t^4.848 + t^5.043 + t^5.152 + 4*t^5.261 + t^5.37 + 3*t^5.478 + t^5.674 + 3*t^5.891 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 4221 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6563 | 0.8167 | 0.8036 | [M:[1.1808, 1.0763, 0.976, 0.8192, 0.7189, 0.8715, 1.024, 1.0763], q:[0.7691, 0.3595], qb:[0.4597, 0.5643], phi:[0.4619]] | t^2.157 + t^2.458 + t^2.614 + t^3.072 + 2*t^3.229 + t^3.542 + t^3.686 + t^4. + t^4.144 + t^4.157 + t^4.314 + t^4.458 + t^4.614 + 2*t^4.771 + t^4.915 + t^5.072 + 2*t^5.229 + t^5.386 + t^5.529 + 2*t^5.686 + 3*t^5.843 - 2*t^6. - t^4.386/y - t^4.386*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1166 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6686 | 0.8353 | 0.8005 | [M:[1.1423, 1.0955, 0.9278, 0.8577, 0.69, 0.8811], q:[0.7739, 0.345], qb:[0.5127, 0.5595], phi:[0.4522]] | t^2.07 + t^2.573 + t^2.643 + t^2.713 + t^2.784 + t^3.287 + t^3.427 + t^3.86 + t^4. + t^4.07 + t^4.14 + t^4.433 + t^4.573 + t^4.643 + 2*t^4.713 + t^4.784 + t^4.854 + t^5.146 + t^5.216 + 2*t^5.287 + 2*t^5.357 + 2*t^5.427 + t^5.497 + t^5.567 + 2*t^5.93 - t^6. - t^4.357/y - t^4.357*y | detail |