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 |
|---|---|---|---|---|---|---|---|---|---|
| 46381 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3^2$ | 0.5809 | 0.7127 | 0.815 | [X:[1.6], M:[1.2, 0.4, 1.0, 0.6904], q:[0.3, 0.5], qb:[0.8096, 0.7904], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [1]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_1$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^4$, $ X_1$, $ M_3M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ M_1M_4$, $ M_4\phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $\phi_1^3q_1q_2$ | 0 | t^2.07 + t^2.4 + t^3. + t^3.27 + t^3.33 + 2*t^3.6 + t^3.87 + t^4.14 + t^4.2 + t^4.47 + 2*t^4.8 + t^5.07 + t^5.34 + t^5.4 + 2*t^5.67 + t^5.94 + t^6.21 + 2*t^6.27 + 2*t^6.54 + t^6.6 + t^6.66 + 3*t^6.87 + 2*t^7.14 + 2*t^7.2 + t^7.41 + 2*t^7.47 - t^7.53 + 3*t^7.74 + t^8.01 + t^8.07 + t^8.29 + 2*t^8.34 + t^8.4 + 2*t^8.61 - 2*t^8.73 + 3*t^8.94 - t^4.2/y - t^6.27/y + t^7.47/y + t^8.07/y + t^8.13/y + (2*t^8.4)/y + (3*t^8.67)/y + t^8.73/y + t^8.94/y - t^4.2*y - t^6.27*y + t^7.47*y + t^8.07*y + t^8.13*y + 2*t^8.4*y + 3*t^8.67*y + t^8.73*y + t^8.94*y | g1*t^2.07 + t^2.4 + t^3. + g1*t^3.27 + t^3.33/g1 + 2*t^3.6 + g1*t^3.87 + g1^2*t^4.14 + t^4.2 + g1*t^4.47 + 2*t^4.8 + g1*t^5.07 + g1^2*t^5.34 + t^5.4 + 2*g1*t^5.67 + g1^2*t^5.94 + g1^3*t^6.21 + 2*g1*t^6.27 + 2*g1^2*t^6.54 + t^6.6 + t^6.66/g1^2 + 3*g1*t^6.87 + 2*g1^2*t^7.14 + 2*t^7.2 + g1^3*t^7.41 + 2*g1*t^7.47 - t^7.53/g1 + 3*g1^2*t^7.74 + g1^3*t^8.01 + g1*t^8.07 + g1^4*t^8.29 + 2*g1^2*t^8.34 + t^8.4 + 2*g1^3*t^8.61 - (2*t^8.73)/g1 + 3*g1^2*t^8.94 - t^4.2/y - (g1*t^6.27)/y + (g1*t^7.47)/y + (g1*t^8.07)/y + t^8.13/(g1*y) + (2*t^8.4)/y + (3*g1*t^8.67)/y + t^8.73/(g1*y) + (g1^2*t^8.94)/y - t^4.2*y - g1*t^6.27*y + g1*t^7.47*y + g1*t^8.07*y + (t^8.13*y)/g1 + 2*t^8.4*y + 3*g1*t^8.67*y + (t^8.73*y)/g1 + g1^2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 48305 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3^2$ + $ M_5q_2\tilde{q}_2$ | 0.6013 | 0.7513 | 0.8003 | [X:[1.6], M:[1.2, 0.4, 1.0, 0.7, 0.7], q:[0.3, 0.5], qb:[0.8, 0.8], phi:[0.4]] | 2*t^2.1 + t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 4*t^4.2 + 2*t^4.5 + 2*t^4.8 + 2*t^5.1 + 4*t^5.4 + 4*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 9621/16000, c: 12021/16000, X1: 8/5, M1: 6/5, M2: 2/5, M3: 1, M4: 7/10, M5: 7/10, q1: 3/10, q2: 1/2, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
| 47175 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3^2$ + $ \phi_1\tilde{q}_2^2$ | 0.5808 | 0.712 | 0.8157 | [X:[1.6], M:[1.2, 0.4, 1.0, 0.7], q:[0.3, 0.5], qb:[0.8, 0.8], phi:[0.4]] | t^2.1 + t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + t^3.9 + 2*t^4.2 + t^4.5 + 2*t^4.8 + t^5.1 + 2*t^5.4 + 2*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 3717/6400, c: 4557/6400, X1: 8/5, M1: 6/5, M2: 2/5, M3: 1, M4: 7/10, q1: 3/10, q2: 1/2, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46323 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.615 | 0.7557 | 0.8139 | [X:[1.6], M:[1.2, 0.4, 0.7748, 0.7748], q:[0.4126, 0.3874], qb:[0.8378, 0.7622], phi:[0.4]] | 2*t^2.32 + t^2.4 + t^3.45 + 2*t^3.52 + 2*t^3.6 + t^3.75 + 3*t^4.65 + 2*t^4.72 + 2*t^4.8 + 2*t^5.77 + 4*t^5.85 + 4*t^5.92 - t^6. - t^4.2/y - t^4.2*y | detail |