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 |
|---|---|---|---|---|---|---|---|---|---|
| 2429 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_5$ + $ M_4X_2$ + $ M_5M_6$ | 0.5023 | 0.6154 | 0.8162 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429, 0.8571], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 4135/8232, c: 2533/4116, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, M6: 6/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_3$, $ M_6$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ X_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.29 + 2*t^2.57 + t^3.14 + t^3.43 + t^3.71 + 2*t^4.29 + 2*t^4.57 + t^4.86 + 2*t^5.14 + t^5.43 + 2*t^5.71 - t^6. + 4*t^6.57 + 4*t^6.86 + t^7.43 + 4*t^7.71 + t^8. - t^8.29 - 2*t^8.57 + 3*t^8.86 - t^4.14/y - t^6.71/y + t^7.57/y + (2*t^7.86)/y + t^8.14/y + t^8.43/y + (3*t^8.71)/y - t^4.14*y - t^6.71*y + t^7.57*y + 2*t^7.86*y + t^8.14*y + t^8.43*y + 3*t^8.71*y | t^2.29 + 2*t^2.57 + t^3.14 + t^3.43 + t^3.71 + 2*t^4.29 + 2*t^4.57 + t^4.86 + 2*t^5.14 + t^5.43 + 2*t^5.71 - t^6. + 4*t^6.57 + 4*t^6.86 + t^7.43 + 4*t^7.71 + t^8. - t^8.29 - 2*t^8.57 + 3*t^8.86 - t^4.14/y - t^6.71/y + t^7.57/y + (2*t^7.86)/y + t^8.14/y + t^8.43/y + (3*t^8.71)/y - t^4.14*y - t^6.71*y + t^7.57*y + 2*t^7.86*y + t^8.14*y + t^8.43*y + 3*t^8.71*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 |
|---|---|---|---|---|---|---|---|---|
| 4475 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_5$ + $ M_4X_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5149 | 0.6369 | 0.8084 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429, 0.8571, 0.8571], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | t^2.29 + 3*t^2.57 + t^3.14 + t^3.71 + 2*t^4.29 + 2*t^4.57 + 2*t^4.86 + 5*t^5.14 + t^5.43 + 2*t^5.71 - 3*t^6. - t^4.14/y - t^4.14*y | detail | {a: 173/336, c: 107/168, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, M6: 6/7, M7: 6/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| 4474 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_5$ + $ M_4X_2$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_1$ | 0.5067 | 0.6228 | 0.8136 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429, 0.8571, 0.9524], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | t^2.29 + 2*t^2.57 + t^2.86 + t^3.43 + t^3.71 + 2*t^4.29 + 2*t^4.57 + t^4.86 + 3*t^5.14 + 2*t^5.43 + t^5.71 - t^6. - t^4.14/y - t^4.14*y | detail | {a: 2781/5488, c: 1709/2744, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, M6: 6/7, M7: 20/21, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1358 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_5$ + $ M_4X_2$ | 0.4897 | 0.5939 | 0.8246 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | t^2.29 + t^2.57 + t^3.14 + 2*t^3.43 + t^3.71 + 2*t^4.29 + 2*t^4.57 + t^5.43 + 2*t^5.71 - t^6. - t^4.14/y - t^4.14*y | detail | {a: 8063/16464, c: 4889/8232, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |