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 |
|---|---|---|---|---|---|---|---|---|---|
| 5205 | 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$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_4X_1$ | 0.6178 | 0.7792 | 0.7928 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 0.75, 0.875, 1.0], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7591/12288, c: 9575/12288, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 3/4, M6: 7/8, M7: 1, q1: 23/48, q2: 37/48, qb1: 13/48, qb2: 31/48, phi1: 11/24} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_7$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6^2$, $ M_1M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_6\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1^2$, $ M_6q_2\tilde{q}_1$, $ M_2M_6$, $ M_5\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | . | -1 | 2*t^2.25 + t^2.62 + t^2.75 + t^3. + t^3.12 + t^3.25 + t^3.62 + t^4.12 + 2*t^4.25 + 3*t^4.5 + t^4.75 + t^4.88 + 2*t^5. + 4*t^5.25 + 2*t^5.38 + 2*t^5.5 + t^5.62 + 2*t^5.75 + 3*t^5.88 - t^6. + t^6.12 + t^6.25 + 2*t^6.38 + 2*t^6.5 + 4*t^6.75 + t^6.88 + 2*t^7. + t^7.12 + 5*t^7.25 + 6*t^7.5 + 2*t^7.62 + 3*t^7.75 + 3*t^7.88 + 3*t^8. + 4*t^8.12 + 4*t^8.38 + 3*t^8.5 + 2*t^8.62 + t^8.75 + t^8.88 - t^4.38/y - t^6.62/y - t^7./y + t^7.5/y + t^7.75/y + (2*t^7.88)/y + (2*t^8.)/y + t^8.12/y + (2*t^8.25)/y + (3*t^8.38)/y + (2*t^8.5)/y + t^8.62/y + (2*t^8.75)/y + (3*t^8.88)/y - t^4.38*y - t^6.62*y - t^7.*y + t^7.5*y + t^7.75*y + 2*t^7.88*y + 2*t^8.*y + t^8.12*y + 2*t^8.25*y + 3*t^8.38*y + 2*t^8.5*y + t^8.62*y + 2*t^8.75*y + 3*t^8.88*y | 2*t^2.25 + t^2.62 + t^2.75 + t^3. + t^3.12 + t^3.25 + t^3.62 + t^4.12 + 2*t^4.25 + 3*t^4.5 + t^4.75 + t^4.88 + 2*t^5. + 4*t^5.25 + 2*t^5.38 + 2*t^5.5 + t^5.62 + 2*t^5.75 + 3*t^5.88 - t^6. + t^6.12 + t^6.25 + 2*t^6.38 + 2*t^6.5 + 4*t^6.75 + t^6.88 + 2*t^7. + t^7.12 + 5*t^7.25 + 6*t^7.5 + 2*t^7.62 + 3*t^7.75 + 3*t^7.88 + 3*t^8. + 4*t^8.12 + 4*t^8.38 + 3*t^8.5 + 2*t^8.62 + t^8.75 + t^8.88 - t^4.38/y - t^6.62/y - t^7./y + t^7.5/y + t^7.75/y + (2*t^7.88)/y + (2*t^8.)/y + t^8.12/y + (2*t^8.25)/y + (3*t^8.38)/y + (2*t^8.5)/y + t^8.62/y + (2*t^8.75)/y + (3*t^8.88)/y - t^4.38*y - t^6.62*y - t^7.*y + t^7.5*y + t^7.75*y + 2*t^7.88*y + 2*t^8.*y + t^8.12*y + 2*t^8.25*y + 3*t^8.38*y + 2*t^8.5*y + t^8.62*y + 2*t^8.75*y + 3*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 6754 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_4X_1$ + $ M_2M_8$ | 0.6254 | 0.7921 | 0.7896 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 0.75, 0.875, 1.0, 0.9167], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | 2*t^2.25 + t^2.62 + 2*t^2.75 + t^3. + t^3.12 + t^3.62 + t^4.12 + 2*t^4.25 + 3*t^4.5 + t^4.75 + t^4.88 + 4*t^5. + 4*t^5.25 + 3*t^5.38 + 2*t^5.5 + t^5.62 + 3*t^5.75 + 3*t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 7685/12288, c: 9733/12288, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 3/4, M6: 7/8, M7: 1, M8: 11/12, q1: 23/48, q2: 37/48, qb1: 13/48, qb2: 31/48, phi1: 11/24} |
| 6755 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_4X_1$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6347 | 0.8092 | 0.7844 | [X:[1.4167], M:[0.75, 1.0833, 1.25, 0.5833, 0.75, 0.875, 1.0, 0.7917], q:[0.4792, 0.7708], qb:[0.2708, 0.6458], phi:[0.4583]] | 2*t^2.25 + t^2.38 + t^2.62 + t^2.75 + t^3. + t^3.12 + t^3.25 + t^4.12 + 2*t^4.25 + 3*t^4.5 + 2*t^4.62 + 2*t^4.75 + t^4.88 + 3*t^5. + t^5.12 + 4*t^5.25 + 3*t^5.38 + 3*t^5.5 + 2*t^5.62 + 2*t^5.75 + t^5.88 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 31199/49152, c: 39775/49152, X1: 17/12, M1: 3/4, M2: 13/12, M3: 5/4, M4: 7/12, M5: 3/4, M6: 7/8, M7: 1, M8: 19/24, q1: 23/48, q2: 37/48, qb1: 13/48, qb2: 31/48, phi1: 11/24} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3535 | 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$ + $ \phi_1q_2^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6892 | 0.8767 | 0.7861 | [X:[], M:[0.8219, 1.0594, 1.1781, 0.7032, 0.8219, 1.0548, 0.7123], q:[0.4132, 0.7648], qb:[0.4087, 0.5319], phi:[0.4703]] | t^2.11 + t^2.14 + 2*t^2.47 + t^2.82 + t^3.16 + t^3.18 + t^3.52 + t^3.88 + t^3.89 + t^4.22 + t^4.23 + 2*t^4.25 + t^4.27 + 2*t^4.58 + 3*t^4.6 + 4*t^4.93 + t^4.96 + t^5.27 + 3*t^5.29 + t^5.3 + t^5.31 + 2*t^5.63 + 2*t^5.64 + t^5.66 + 3*t^5.99 - t^6. - t^4.41/y - t^4.41*y | detail |