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 |
|---|---|---|---|---|---|---|---|---|---|
| 55521 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ + $ M_3\phi_1^2$ | 0.6592 | 0.8209 | 0.803 | [X:[1.1765], M:[0.8235, 1.0588, 1.0588, 0.7059, 0.9412], q:[0.7647, 0.4118], qb:[0.5294, 0.4118], phi:[0.4706]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 381/578, c: 949/1156, X1: 20/17, M1: 14/17, M2: 18/17, M3: 18/17, M4: 12/17, M5: 16/17, q1: 13/17, q2: 7/17, qb1: 9/17, qb2: 7/17, phi1: 8/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_2$, $ X_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_4q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4X_1$ | $M_3M_5$, $ M_4\phi_1q_2^2$, $ M_4\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_2\tilde{q}_2X_1$ | 2 | t^2.12 + t^2.47 + 2*t^2.82 + t^3.18 + 2*t^3.53 + 3*t^3.88 + 3*t^4.24 + 2*t^4.59 + 3*t^4.94 + 3*t^5.29 + 4*t^5.65 + 2*t^6. + 6*t^6.35 + 8*t^6.71 + 6*t^7.06 + 6*t^7.41 + 9*t^7.76 + 6*t^8.12 + 7*t^8.47 + 5*t^8.82 - t^4.41/y - t^6.53/y + t^7.59/y + (2*t^7.94)/y + (4*t^8.29)/y + (3*t^8.65)/y - t^4.41*y - t^6.53*y + t^7.59*y + 2*t^7.94*y + 4*t^8.29*y + 3*t^8.65*y | t^2.12 + t^2.47 + 2*t^2.82 + t^3.18 + 2*t^3.53 + 3*t^3.88 + 3*t^4.24 + 2*t^4.59 + 3*t^4.94 + 3*t^5.29 + 4*t^5.65 + 2*t^6. + 6*t^6.35 + 8*t^6.71 + 6*t^7.06 + 6*t^7.41 + 9*t^7.76 + 6*t^8.12 + 7*t^8.47 + 5*t^8.82 - t^4.41/y - t^6.53/y + t^7.59/y + (2*t^7.94)/y + (4*t^8.29)/y + (3*t^8.65)/y - t^4.41*y - t^6.53*y + t^7.59*y + 2*t^7.94*y + 4*t^8.29*y + 3*t^8.65*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 |
|---|---|---|---|---|---|---|---|---|
| 57107 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ + $ M_3\phi_1^2$ + $ M_3M_6$ | 0.6646 | 0.8301 | 0.8007 | [X:[1.1765], M:[0.8235, 1.0588, 1.0588, 0.7059, 0.9412, 0.9412], q:[0.7647, 0.4118], qb:[0.5294, 0.4118], phi:[0.4706]] | t^2.12 + t^2.47 + 3*t^2.82 + 2*t^3.53 + 3*t^3.88 + 3*t^4.24 + 2*t^4.59 + 4*t^4.94 + 3*t^5.29 + 6*t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 52245/78608, c: 32625/39304, X1: 20/17, M1: 14/17, M2: 18/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 16/17, q1: 13/17, q2: 7/17, qb1: 9/17, qb2: 7/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47089 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ | 0.6792 | 0.8367 | 0.8118 | [X:[1.3317], M:[0.6683, 1.1106, 0.964, 0.7404, 0.8894], q:[0.7776, 0.554], qb:[0.482, 0.4075], phi:[0.4447]] | t^2.22 + 2*t^2.67 + t^2.88 + t^2.89 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.23 + 2*t^4.44 + t^4.66 + 2*t^4.89 + 2*t^5.11 + 3*t^5.34 + 2*t^5.55 + t^5.56 + t^5.77 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail |