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 |
|---|---|---|---|---|---|---|---|---|---|
| 1809 | 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_1^2$ + $ M_4\phi_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ | 0.5603 | 0.6728 | 0.8328 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | [X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 2241/4000, c: 2691/4000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ X_2$, $ \phi_1^4$, $ X_1$ | $\phi_1^3q_2\tilde{q}_2$ | 0 | t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + t^4.2 + 2*t^4.8 + 2*t^6.3 + 3*t^6.6 + 2*t^6.9 + 5*t^7.2 + 2*t^7.5 + 3*t^7.8 + 2*t^8.1 + t^8.4 - 2*t^8.7 - t^4.2/y + t^8.4/y + (2*t^8.7)/y - t^4.2*y + t^8.4*y + 2*t^8.7*y | t^2.4 + t^3. + t^3.3/g1^2 + g1^2*t^3.3 + 2*t^3.6 + t^3.9/g1^2 + g1^2*t^3.9 + t^4.2 + 2*t^4.8 + t^6.3/g1^2 + g1^2*t^6.3 + t^6.6 + t^6.6/g1^4 + g1^4*t^6.6 + t^6.9/g1^2 + g1^2*t^6.9 + 3*t^7.2 + t^7.2/g1^4 + g1^4*t^7.2 + t^7.5/g1^2 + g1^2*t^7.5 + t^7.8 + t^7.8/g1^4 + g1^4*t^7.8 + t^8.1/g1^2 + g1^2*t^8.1 + t^8.4 - t^8.7/g1^2 - g1^2*t^8.7 - t^4.2/y + t^8.4/y + t^8.7/(g1^2*y) + (g1^2*t^8.7)/y - t^4.2*y + t^8.4*y + (t^8.7*y)/g1^2 + g1^2*t^8.7*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 |
|---|---|---|---|---|---|---|---|---|
| 2825 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_5q_2\tilde{q}_1$ | 0.5809 | 0.7127 | 0.815 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.6904], q:[0.6452, 0.3548], qb:[0.9548, 0.4452], phi:[0.4]] | 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^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 |
|---|---|---|---|---|---|---|---|---|---|
| 364 | 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_1^2$ + $ M_4\phi_1^2$ | 0.7111 | 0.8727 | 0.8148 | [X:[], M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]] | t^2.48 + t^2.65 + t^2.83 + t^3. + t^3.15 + t^3.17 + t^3.19 + t^4.09 + t^4.24 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.74 + t^4.76 + t^4.93 + t^4.96 + t^5.13 + t^5.14 + 2*t^5.31 + t^5.48 + 3*t^5.65 + t^5.83 + t^5.98 - 2*t^6. - t^4.41/y - t^4.41*y | detail |