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 |
|---|---|---|---|---|---|---|---|---|---|
| 1751 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6135 | 0.751 | 0.8169 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4], q:[0.4, 0.8], qb:[0.4, 0.8], phi:[0.4]] | [X:[[0, 0]], M:[[1, 1], [-1, -1], [0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 1227/2000, c: 751/1000, X1: 8/5, M1: 4/5, M2: 4/5, M3: 6/5, M4: 2/5, q1: 2/5, q2: 4/5, qb1: 2/5, qb2: 4/5, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ \phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$ | $M_1M_3$, $ M_2M_3$, $ M_2\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ \phi_1q_2^2$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | 9 | 3*t^2.4 + 6*t^3.6 + 7*t^4.8 + 9*t^6. + 17*t^7.2 + 8*t^8.4 - t^4.2/y - (2*t^6.6)/y + (5*t^7.8)/y - t^4.2*y - 2*t^6.6*y + 5*t^7.8*y | t^2.4 + t^2.4/(g1*g2) + g1*g2*t^2.4 + 2*t^3.6 + t^3.6/g1^2 + g1^2*t^3.6 + (g1*t^3.6)/g2 + (g2*t^3.6)/g1 + 3*t^4.8 + t^4.8/(g1^2*g2^2) + t^4.8/(g1*g2) + g1*g2*t^4.8 + g1^2*g2^2*t^4.8 - t^6. + t^6./g1^2 + g1^2*t^6. + t^6./g2^2 + t^6./(g1^3*g2) + t^6./(g1*g2) + (g1*t^6.)/g2 + (g2*t^6.)/g1 + g1*g2*t^6. + g1^3*g2*t^6. + g2^2*t^6. + 3*t^7.2 + t^7.2/g1^4 + g1^4*t^7.2 + t^7.2/(g1^3*g2^3) + t^7.2/(g1^2*g2^2) + (g1^2*t^7.2)/g2^2 + (2*t^7.2)/(g1*g2) + (g1^3*t^7.2)/g2 + (g2*t^7.2)/g1^3 + 2*g1*g2*t^7.2 + (g2^2*t^7.2)/g1^2 + g1^2*g2^2*t^7.2 + g1^3*g2^3*t^7.2 + t^8.4/g1^2 + g1^2*t^8.4 + t^8.4/(g1*g2^3) + t^8.4/g2^2 + t^8.4/(g1^4*g2^2) + t^8.4/(g1^2*g2^2) + t^8.4/(g1^3*g2) - (3*t^8.4)/(g1*g2) + (g1*t^8.4)/g2 + (g2*t^8.4)/g1 - 3*g1*g2*t^8.4 + g1^3*g2*t^8.4 + g2^2*t^8.4 + g1^2*g2^2*t^8.4 + g1^4*g2^2*t^8.4 + g1*g2^3*t^8.4 - t^4.2/y - t^6.6/(g1*g2*y) - (g1*g2*t^6.6)/y + t^7.8/y + (2*t^7.8)/(g1*g2*y) + (2*g1*g2*t^7.8)/y - t^4.2*y - (t^6.6*y)/(g1*g2) - g1*g2*t^6.6*y + t^7.8*y + (2*t^7.8*y)/(g1*g2) + 2*g1*g2*t^7.8*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 |
|---|---|---|---|---|---|---|---|---|
| 2756 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5q_2\tilde{q}_1$ | 0.6312 | 0.7837 | 0.8054 | [X:[1.6], M:[0.7866, 0.8134, 1.2, 0.4, 0.7599], q:[0.3866, 0.8267], qb:[0.4134, 0.7733], phi:[0.4]] | t^2.28 + t^2.36 + t^2.4 + t^2.44 + t^3.48 + t^3.52 + 2*t^3.6 + t^3.68 + t^4.56 + t^4.64 + t^4.68 + 2*t^4.72 + t^4.76 + 3*t^4.8 + t^4.84 + t^4.88 + t^5.76 + t^5.8 + t^5.84 + 3*t^5.88 + t^5.92 + 3*t^5.96 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 229 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_3\phi_1^2$ | 0.7145 | 0.8771 | 0.8147 | [X:[], M:[0.9328, 0.9328, 1.0672, 0.7984], q:[0.4664, 0.6008], qb:[0.4664, 0.6008], phi:[0.4664]] | t^2.4 + 3*t^2.8 + 3*t^3.2 + 3*t^4.2 + 4*t^4.6 + t^4.79 + 3*t^5. + 3*t^5.19 + 5*t^5.6 + t^6. - t^4.4/y - t^4.4*y | detail |