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 |
|---|---|---|---|---|---|---|---|---|---|
| 2436 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ \phi_1q_2^2$ | 0.6796 | 0.8561 | 0.7939 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.9412], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3339/4913, c: 4206/4913, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 16/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, phi1: 8/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_4q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | $M_4\phi_1q_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$ | 0 | t^2.12 + 2*t^2.47 + 3*t^2.82 + t^3.53 + 3*t^3.88 + 3*t^4.24 + 3*t^4.59 + 6*t^4.94 + 6*t^5.29 + 5*t^5.65 + 7*t^6.35 + 12*t^6.71 + 7*t^7.06 + 8*t^7.41 + 14*t^7.76 + 9*t^8.12 + 6*t^8.47 + 5*t^8.82 - t^4.41/y - t^6.53/y - t^6.88/y - t^7.24/y + (3*t^7.59)/y + (5*t^7.94)/y + (7*t^8.29)/y + (3*t^8.65)/y - t^4.41*y - t^6.53*y - t^6.88*y - t^7.24*y + 3*t^7.59*y + 5*t^7.94*y + 7*t^8.29*y + 3*t^8.65*y | t^2.12 + 2*t^2.47 + 3*t^2.82 + t^3.53 + 3*t^3.88 + 3*t^4.24 + 3*t^4.59 + 6*t^4.94 + 6*t^5.29 + 5*t^5.65 + 7*t^6.35 + 12*t^6.71 + 7*t^7.06 + 8*t^7.41 + 14*t^7.76 + 9*t^8.12 + 6*t^8.47 + 5*t^8.82 - t^4.41/y - t^6.53/y - t^6.88/y - t^7.24/y + (3*t^7.59)/y + (5*t^7.94)/y + (7*t^8.29)/y + (3*t^8.65)/y - t^4.41*y - t^6.53*y - t^6.88*y - t^7.24*y + 3*t^7.59*y + 5*t^7.94*y + 7*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 |
|---|---|---|---|---|---|---|---|---|
| 4486 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.7 | 0.8949 | 0.7823 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 0.8235, 0.9412, 0.7059], q:[0.4118, 0.7647], qb:[0.4118, 0.5294], phi:[0.4706]] | 2*t^2.12 + 2*t^2.47 + 3*t^2.82 + t^3.53 + 2*t^3.88 + 5*t^4.24 + 5*t^4.59 + 9*t^4.94 + 6*t^5.29 + 6*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 3237/4624, c: 2069/2312, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 14/17, M6: 16/17, M7: 12/17, q1: 7/17, q2: 13/17, qb1: 7/17, qb2: 9/17, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1385 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_2M_6$ | 0.7042 | 0.8689 | 0.8105 | [X:[], M:[0.9263, 1.0246, 1.0737, 0.8772, 0.9263, 0.9754], q:[0.4632, 0.6105], qb:[0.4632, 0.5123], phi:[0.4877]] | t^2.63 + 2*t^2.78 + 3*t^2.93 + t^3.22 + 3*t^4.24 + 2*t^4.39 + t^4.54 + 2*t^4.68 + t^4.83 + t^5.13 + t^5.26 + 2*t^5.41 + 4*t^5.56 + 5*t^5.71 + 5*t^5.85 - 4*t^6. - t^4.46/y - t^4.46*y | detail |