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 |
|---|---|---|---|---|---|---|---|---|---|
| 4499 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ + $ M_6^2$ + $ M_3X_1$ | 0.6319 | 0.7837 | 0.8063 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 1.0, 1.0, 0.8571], q:[0.7143, 0.2857], qb:[0.7143, 0.5714], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 867/1372, c: 4301/5488, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 1, M6: 1, M7: 6/7, q1: 5/7, q2: 2/7, qb1: 5/7, qb2: 4/7, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_2M_7$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$ | $M_1M_5$, $ M_1M_6$, $ M_5M_6$ | 0 | t^2.14 + 2*t^2.57 + 3*t^3. + 2*t^3.86 + 4*t^4.29 + t^4.71 + 7*t^5.14 + 7*t^5.57 + 4*t^6.43 + 7*t^6.86 + 5*t^7.29 + 9*t^7.71 + 13*t^8.14 + 4*t^8.57 - t^4.29/y - t^6.43/y - t^6.86/y + (3*t^7.71)/y + (5*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.43*y - t^6.86*y + 3*t^7.71*y + 5*t^8.14*y + 5*t^8.57*y | t^2.14 + 2*t^2.57 + 3*t^3. + 2*t^3.86 + 4*t^4.29 + t^4.71 + 7*t^5.14 + 7*t^5.57 + 4*t^6.43 + 7*t^6.86 + 5*t^7.29 + 9*t^7.71 + 13*t^8.14 + 4*t^8.57 - t^4.29/y - t^6.43/y - t^6.86/y + (3*t^7.71)/y + (5*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.43*y - t^6.86*y + 3*t^7.71*y + 5*t^8.14*y + 5*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 6005 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ + $ M_6^2$ + $ M_3X_1$ + $ M_8q_1\tilde{q}_2$ | 0.6522 | 0.8218 | 0.7936 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 1.0, 1.0, 0.8571, 0.7143], q:[0.7143, 0.2857], qb:[0.7143, 0.5714], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + 3*t^3. + t^3.86 + 6*t^4.29 + 3*t^4.71 + 10*t^5.14 + 7*t^5.57 - t^4.29/y - t^4.29*y | detail | {a: 3579/5488, c: 2255/2744, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 1, M6: 1, M7: 6/7, M8: 5/7, q1: 5/7, q2: 2/7, qb1: 5/7, qb2: 4/7, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2460 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ | 0.7338 | 0.918 | 0.7994 | [X:[], M:[1.0, 0.8941, 0.8412, 1.0529, 1.0, 0.6853, 0.9471], q:[0.5794, 0.4206], qb:[0.5794, 0.5265], phi:[0.4735]] | t^2.06 + t^2.52 + t^2.68 + 2*t^2.84 + 2*t^3. + t^3.32 + t^4.11 + t^4.26 + 2*t^4.42 + 2*t^4.58 + 3*t^4.74 + 5*t^4.9 + t^5.05 + 2*t^5.06 + t^5.21 + 3*t^5.36 + t^5.37 + 2*t^5.52 + 4*t^5.68 + 3*t^5.84 - 2*t^6. - t^4.42/y - t^4.42*y | detail |