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 |
|---|---|---|---|---|---|---|---|---|---|
| 45938 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ | 0.6363 | 0.8038 | 0.7916 | [X:[], M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.392, 0.4275], phi:[0.5]] | [X:[], M:[[1, 0], [0, 1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_2q_1q_2$, $ M_2\phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$ | -1 | t^2.03 + t^2.46 + t^2.47 + t^3. + 2*t^3.43 + t^3.53 + t^3.54 + t^3.85 + t^3.96 + 2*t^4.06 + t^4.07 + t^4.08 + t^4.49 + t^4.5 + t^4.92 + t^4.93 + t^4.94 + t^5.03 + 3*t^5.46 + t^5.47 + t^5.56 + t^5.57 + 2*t^5.88 + t^5.89 + t^5.99 - t^6. + 2*t^6.1 + t^6.31 + t^6.32 + t^6.42 + t^6.43 + 2*t^6.52 + 2*t^6.53 + t^6.54 + t^6.55 + 3*t^6.85 + t^6.95 + 2*t^6.96 + t^6.97 + 2*t^7.06 + t^7.08 + 2*t^7.28 + t^7.37 + 2*t^7.38 + t^7.4 + 4*t^7.49 + 2*t^7.6 + t^7.61 + t^7.63 + t^7.7 + t^7.81 + 4*t^7.92 + t^7.93 + t^7.94 + 2*t^8.02 - 2*t^8.03 - t^8.04 + 3*t^8.13 + t^8.14 + t^8.15 + t^8.16 + t^8.17 + 2*t^8.34 + t^8.35 + t^8.36 + t^8.45 - t^8.46 - 2*t^8.47 + 3*t^8.56 - t^8.57 + t^8.77 + t^8.78 + t^8.79 + t^8.87 + 3*t^8.88 + 2*t^8.98 + 2*t^8.99 - t^4.5/y - t^6.53/y + t^7.07/y + t^7.49/y + t^7.5/y + t^8.03/y + (3*t^8.46)/y + (2*t^8.47)/y + t^8.57/y + (3*t^8.88)/y + (2*t^8.89)/y + (2*t^8.99)/y - t^4.5*y - t^6.53*y + t^7.07*y + t^7.49*y + t^7.5*y + t^8.03*y + 3*t^8.46*y + 2*t^8.47*y + t^8.57*y + 3*t^8.88*y + 2*t^8.89*y + 2*t^8.99*y | g2*t^2.03 + g1*g2*t^2.46 + t^2.47/g2 + t^3. + 2*g1*t^3.43 + g2*t^3.53 + t^3.54/(g1*g2) + g1^2*t^3.85 + g1*g2*t^3.96 + 2*g2^2*t^4.06 + t^4.07/g1 + t^4.08/(g1^2*g2^2) + g1*g2^2*t^4.49 + t^4.5 + g1^2*g2^2*t^4.92 + g1*t^4.93 + t^4.94/g2^2 + g2*t^5.03 + 3*g1*g2*t^5.46 + t^5.47/g2 + g2^2*t^5.56 + t^5.57/g1 + 2*g1^2*g2*t^5.88 + (g1*t^5.89)/g2 + g1*g2^2*t^5.99 - t^6. + 2*g2^3*t^6.1 + g1^3*g2*t^6.31 + (g1^2*t^6.32)/g2 + g1^2*g2^2*t^6.42 + g1*t^6.43 + 2*g1*g2^3*t^6.52 + 2*g2*t^6.53 + t^6.54/(g1*g2) + t^6.55/(g1^2*g2^3) + 3*g1^2*t^6.85 + g1^2*g2^3*t^6.95 + 2*g1*g2*t^6.96 + t^6.97/g2 + 2*g2^2*t^7.06 + t^7.08/(g1^2*g2^2) + 2*g1^3*t^7.28 + g1^3*g2^3*t^7.37 + 2*g1^2*g2*t^7.38 + t^7.4/g2^3 + 4*g1*g2^2*t^7.49 + 2*g2^3*t^7.6 + (g2*t^7.61)/g1 + t^7.63/(g1^3*g2^3) + g1^4*t^7.7 + g1^3*g2*t^7.81 + 4*g1^2*g2^2*t^7.92 + g1*t^7.93 + t^7.94/g2^2 + 2*g1*g2^3*t^8.02 - 2*g2*t^8.03 - t^8.04/(g1*g2) + 3*g2^4*t^8.13 + (g2^2*t^8.14)/g1 + t^8.15/g1^2 + t^8.16/(g1^3*g2^2) + t^8.17/(g1^4*g2^4) + 2*g1^3*g2^2*t^8.34 + g1^2*t^8.35 + (g1*t^8.36)/g2^2 + g1^2*g2^3*t^8.45 - g1*g2*t^8.46 - (2*t^8.47)/g2 + g2^2*t^8.56 + 2*g1*g2^4*t^8.56 - t^8.57/g1 + g1^4*g2^2*t^8.77 + g1^3*t^8.78 + (g1^2*t^8.79)/g2^2 + g1^3*g2^3*t^8.87 + 3*g1^2*g2*t^8.88 + 2*g1^2*g2^4*t^8.98 + 2*g1*g2^2*t^8.99 - t^4.5/y - (g2*t^6.53)/y + t^7.07/(g1*y) + (g1*g2^2*t^7.49)/y + t^7.5/y + (g2*t^8.03)/y + (3*g1*g2*t^8.46)/y + (2*t^8.47)/(g2*y) + t^8.57/(g1*y) + (3*g1^2*g2*t^8.88)/y + (2*g1*t^8.89)/(g2*y) + (2*g1*g2^2*t^8.99)/y - t^4.5*y - g2*t^6.53*y + (t^7.07*y)/g1 + g1*g2^2*t^7.49*y + t^7.5*y + g2*t^8.03*y + 3*g1*g2*t^8.46*y + (2*t^8.47*y)/g2 + (t^8.57*y)/g1 + 3*g1^2*g2*t^8.88*y + (2*g1*t^8.89*y)/g2 + 2*g1*g2^2*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 46015 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6363 | 0.8037 | 0.7917 | [X:[], M:[1.1421, 0.679], q:[0.75, 0.429], qb:[0.3921, 0.429], phi:[0.5]] | t^2.04 + 2*t^2.46 + t^3. + 2*t^3.43 + 2*t^3.54 + t^3.85 + t^3.96 + 4*t^4.07 + 2*t^4.5 + 3*t^4.93 + t^5.04 + 4*t^5.46 + 2*t^5.57 + 3*t^5.89 - t^4.5/y - t^4.5*y | detail | |
| 45976 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.6356 | 0.8019 | 0.7926 | [X:[], M:[1.1615, 0.6769], q:[0.75, 0.4115], qb:[0.4115, 0.4269], phi:[0.5]] | t^2.03 + t^2.47 + t^2.52 + t^3. + 3*t^3.48 + t^3.53 + 2*t^3.97 + 2*t^4.02 + 2*t^4.06 + t^4.5 + t^4.55 + t^4.94 + t^4.98 + 2*t^5.03 + t^5.47 + 4*t^5.52 + t^5.56 + t^5.95 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 46073 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ | 0.6276 | 0.7929 | 0.7915 | [X:[], M:[1.105, 0.75], q:[0.75, 0.395], qb:[0.355, 0.5], phi:[0.5]] | 2*t^2.25 + t^2.56 + t^3. + 2*t^3.31 + t^3.44 + t^3.63 + t^3.75 + t^3.87 + t^4.06 + t^4.19 + 4*t^4.5 + 2*t^4.81 + t^5.13 + 2*t^5.25 + 4*t^5.56 + t^5.69 + 3*t^5.88 - t^4.5/y - t^4.5*y | detail | |
| 46057 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6571 | 0.8446 | 0.778 | [X:[], M:[1.1432, 0.6784, 0.6784], q:[0.75, 0.4284], qb:[0.3932, 0.4284], phi:[0.5]] | 2*t^2.04 + 2*t^2.46 + t^3. + 2*t^3.43 + 2*t^3.54 + t^3.86 + 6*t^4.07 + 4*t^4.5 + 3*t^4.93 + 2*t^5.04 + 6*t^5.46 + 4*t^5.57 + 4*t^5.89 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 46033 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6567 | 0.843 | 0.7791 | [X:[], M:[1.1525, 0.6728, 0.6949], q:[0.75, 0.4246], qb:[0.4025, 0.4228], phi:[0.5]] | t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + t^3.98 + 3*t^4.04 + t^4.05 + t^4.1 + t^4.17 + t^4.49 + t^4.5 + t^4.56 + t^4.57 + t^4.95 + 2*t^4.96 + t^5.02 + t^5.08 + 4*t^5.48 + 4*t^5.54 + t^5.6 + t^5.61 + t^5.93 + t^5.94 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 46052 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ | 0.652 | 0.8312 | 0.7844 | [X:[], M:[1.1326, 0.6957, 0.8043], q:[0.75, 0.4217], qb:[0.3826, 0.4457], phi:[0.5]] | t^2.09 + 2*t^2.41 + t^2.48 + t^3. + 2*t^3.4 + t^3.52 + t^3.8 + t^3.98 + t^4.03 + t^4.1 + 2*t^4.17 + 2*t^4.5 + t^4.57 + 3*t^4.83 + 2*t^4.9 + t^4.97 + t^5.09 + 2*t^5.41 + 3*t^5.48 + t^5.6 + 3*t^5.81 + 2*t^5.88 + t^5.93 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 45994 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 0.6878, 1.1561], q:[0.75, 0.4061], qb:[0.4061, 0.4378], phi:[0.5]] | t^2.06 + t^2.44 + t^3. + 4*t^3.47 + t^3.56 + 2*t^3.94 + 2*t^4.03 + 2*t^4.13 + t^4.5 + t^4.87 + t^5.06 + t^5.44 + 4*t^5.53 + t^5.63 + 2*t^5.91 - 2*t^6. - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45840 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ | 0.6155 | 0.7629 | 0.8067 | [X:[], M:[1.1409], q:[0.75, 0.4296], qb:[0.3909, 0.4296], phi:[0.5]] | 2*t^2.46 + t^3. + 2*t^3.42 + 2*t^3.54 + t^3.85 + 2*t^3.96 + 3*t^4.08 + 3*t^4.92 + 2*t^5.46 + 2*t^5.88 - t^6. - t^4.5/y - t^4.5*y | detail |