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 |
|---|---|---|---|---|---|---|---|---|---|
| 247 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6218 | 0.7781 | 0.7992 | [X:[], M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | [X:[], M:[[1], [1], [-2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_3$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_3q_1q_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | 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. + 2*t^6.19 + 2*t^6.37 + 2*t^6.47 + t^6.56 + 9*t^6.94 + 2*t^7.03 + 2*t^7.13 + t^7.31 + 4*t^7.41 + 3*t^7.5 + 6*t^7.59 + 2*t^7.69 + 3*t^7.87 + 2*t^7.97 - t^8.06 + 2*t^8.16 + 3*t^8.25 + 2*t^8.34 - 2*t^8.44 + t^8.63 + 2*t^8.81 - t^4.5/y - t^6.56/y + (2*t^7.03)/y + t^7.5/y - (2*t^7.97)/y + t^8.06/y + (2*t^8.44)/y + (4*t^8.53)/y + (4*t^8.91)/y - t^4.5*y - t^6.56*y + 2*t^7.03*y + t^7.5*y - 2*t^7.97*y + t^8.06*y + 2*t^8.44*y + 4*t^8.53*y + 4*t^8.91*y | t^2.06/g1^2 + g1^2*t^2.44 + t^3. + 4*g1*t^3.47 + t^3.56/g1^2 + 2*g1^2*t^3.94 + (2*t^4.03)/g1 + (2*t^4.13)/g1^4 + t^4.5 + g1^4*t^4.87 + t^5.06/g1^2 + g1^2*t^5.44 + (4*t^5.53)/g1 + t^5.63/g1^4 + 2*g1^3*t^5.91 - 2*t^6. + (2*t^6.19)/g1^6 + 2*g1^4*t^6.37 + 2*g1*t^6.47 + t^6.56/g1^2 + 9*g1^2*t^6.94 + (2*t^7.03)/g1 + (2*t^7.13)/g1^4 + g1^6*t^7.31 + 4*g1^3*t^7.41 + 3*t^7.5 + (6*t^7.59)/g1^3 + (2*t^7.69)/g1^6 + 3*g1^4*t^7.87 + 2*g1*t^7.97 - t^8.06/g1^2 + (2*t^8.16)/g1^5 + (3*t^8.25)/g1^8 + 2*g1^5*t^8.34 - 2*g1^2*t^8.44 + t^8.63/g1^4 + 2*g1^6*t^8.81 - t^4.5/y - t^6.56/(g1^2*y) + (2*t^7.03)/(g1*y) + t^7.5/y - (2*g1*t^7.97)/y + t^8.06/(g1^2*y) + (2*g1^2*t^8.44)/y + (4*t^8.53)/(g1*y) + (4*g1^3*t^8.91)/y - t^4.5*y - (t^6.56*y)/g1^2 + (2*t^7.03*y)/g1 + t^7.5*y - 2*g1*t^7.97*y + (t^8.06*y)/g1^2 + 2*g1^2*t^8.44*y + (4*t^8.53*y)/g1 + 4*g1^3*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 391 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_3M_4$ | 0.6011 | 0.7381 | 0.8144 | [X:[], M:[1.154, 1.154, 0.6919, 1.3081], q:[0.75, 0.4419], qb:[0.404, 0.404], phi:[0.5]] | t^2.42 + t^3. + 4*t^3.46 + t^3.58 + 3*t^3.92 + 2*t^4.04 + t^4.15 + t^4.85 + t^5.42 + 2*t^5.89 - 4*t^6. - t^4.5/y - t^4.5*y | detail | |
| 392 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6426 | 0.8185 | 0.785 | [X:[], M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | 2*t^2.05 + t^2.45 + t^3. + 4*t^3.47 + t^3.55 + t^3.95 + 2*t^4.03 + 4*t^4.11 + 2*t^4.5 + t^4.89 + 2*t^5.05 + t^5.45 + 8*t^5.53 + 2*t^5.61 + 2*t^5.92 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 393 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ | 0.5859 | 0.7109 | 0.8242 | [X:[1.3333], M:[1.1667, 1.1667, 0.6667, 1.1667], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | t^3. + 6*t^3.5 + 6*t^4. - 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 75/128, c: 91/128, X1: 4/3, M1: 7/6, M2: 7/6, M3: 2/3, M4: 7/6, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 158 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6219 | 0.7787 | 0.7986 | [X:[], M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | t^2.04 + t^2.43 + t^3. + 2*t^3.45 + 2*t^3.48 + t^3.57 + t^3.91 + t^3.93 + t^4.02 + t^4.05 + t^4.08 + t^4.13 + t^4.47 + t^4.87 + t^5.04 + t^5.43 + 2*t^5.49 + 2*t^5.52 + t^5.61 + t^5.89 + t^5.91 + t^5.95 - 2*t^6. - t^4.5/y - t^4.5*y | detail |