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 |
|---|---|---|---|---|---|---|---|---|---|
| 5232 | 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_2M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6211 | 0.7996 | 0.7767 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7857, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 27267/43904, c: 35107/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 11/14, M7: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_1$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_2M_6$, $ M_5M_6$, $ M_2M_7$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_6$, $ M_1M_7$, $ M_2\phi_1q_1^2$, $ M_5\phi_1q_1^2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_6\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ \phi_1^3q_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | $\phi_1^3q_1\tilde{q}_1$ | -1 | 2*t^2.14 + 2*t^2.36 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + 3*t^4.29 + 4*t^4.5 + 6*t^4.71 + 2*t^4.93 + 3*t^5.14 + 6*t^5.36 + 6*t^5.57 + 2*t^5.79 - t^6. + 6*t^6.43 + 6*t^6.64 + 8*t^6.86 + 6*t^7.07 + 6*t^7.29 + 10*t^7.5 + 14*t^7.71 + 10*t^7.93 - 4*t^8.36 + 7*t^8.57 + 8*t^8.79 - t^4.29/y - t^6.43/y - (2*t^6.64)/y - t^6.86/y + t^7.29/y + (4*t^7.5)/y + (4*t^7.71)/y + (4*t^7.93)/y + (3*t^8.14)/y + (6*t^8.36)/y + (6*t^8.57)/y + (2*t^8.79)/y - t^4.29*y - t^6.43*y - 2*t^6.64*y - t^6.86*y + t^7.29*y + 4*t^7.5*y + 4*t^7.71*y + 4*t^7.93*y + 3*t^8.14*y + 6*t^8.36*y + 6*t^8.57*y + 2*t^8.79*y | 2*t^2.14 + 2*t^2.36 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + 3*t^4.29 + 4*t^4.5 + 6*t^4.71 + 2*t^4.93 + 3*t^5.14 + 6*t^5.36 + 6*t^5.57 + 2*t^5.79 - t^6. + 6*t^6.43 + 6*t^6.64 + 8*t^6.86 + 6*t^7.07 + 6*t^7.29 + 10*t^7.5 + 14*t^7.71 + 10*t^7.93 - 4*t^8.36 + 7*t^8.57 + 8*t^8.79 - t^4.29/y - t^6.43/y - (2*t^6.64)/y - t^6.86/y + t^7.29/y + (4*t^7.5)/y + (4*t^7.71)/y + (4*t^7.93)/y + (3*t^8.14)/y + (6*t^8.36)/y + (6*t^8.57)/y + (2*t^8.79)/y - t^4.29*y - t^6.43*y - 2*t^6.64*y - t^6.86*y + t^7.29*y + 4*t^7.5*y + 4*t^7.71*y + 4*t^7.93*y + 3*t^8.14*y + 6*t^8.36*y + 6*t^8.57*y + 2*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 6776 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6336 | 0.8211 | 0.7717 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7857, 0.7857, 0.8571], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | 2*t^2.14 + 2*t^2.36 + 2*t^2.57 + t^3. + 2*t^3.21 + 3*t^4.29 + 4*t^4.5 + 8*t^4.71 + 4*t^4.93 + 5*t^5.14 + 6*t^5.36 + 5*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 27819/43904, c: 36051/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 11/14, M7: 11/14, M8: 6/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3567 | 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_2M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6037 | 0.7689 | 0.7852 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7143, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | 2*t^2.14 + t^2.36 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + t^3.64 + 3*t^4.29 + 2*t^4.5 + 4*t^4.71 + t^4.93 + 3*t^5.14 + 5*t^5.36 + 4*t^5.57 + 3*t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 53013/87808, c: 67517/87808, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 5/7, M6: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |