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 |
|---|---|---|---|---|---|---|---|---|---|
| 4417 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6441 | 0.8046 | 0.8005 | [X:[], M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.0811], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 522003/810448, c: 326029/405224, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 40/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_6$, $ M_2$, $ M_7$, $ M_4$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_7$, $ M_1M_4$, $ M_2M_6$, $ M_5M_7$, $ M_1M_3$, $ M_4M_5$, $ M_6M_7$ | . | 0 | t^2.27 + t^2.43 + t^2.59 + t^3.08 + t^3.24 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + t^5.03 + t^5.19 + t^5.35 + 2*t^5.51 + 2*t^5.68 + t^5.84 + t^6.16 + 3*t^6.32 + 4*t^6.49 + 4*t^6.65 + 3*t^6.81 + 3*t^6.97 + 3*t^7.14 + 3*t^7.3 + 3*t^7.46 + 3*t^7.62 + 4*t^7.78 + 4*t^7.95 + 4*t^8.11 + t^8.27 + t^8.43 + 2*t^8.59 + 4*t^8.76 + 4*t^8.92 - t^4.46/y - t^6.73/y + t^7.22/y + t^7.86/y + t^8.03/y + t^8.19/y + t^8.35/y + (2*t^8.51)/y + (3*t^8.68)/y + (3*t^8.84)/y - t^4.46*y - t^6.73*y + t^7.22*y + t^7.86*y + t^8.03*y + t^8.19*y + t^8.35*y + 2*t^8.51*y + 3*t^8.68*y + 3*t^8.84*y | t^2.27 + t^2.43 + t^2.59 + t^3.08 + t^3.24 + t^3.41 + t^3.57 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + t^4.7 + 2*t^4.86 + t^5.03 + t^5.19 + t^5.35 + 2*t^5.51 + 2*t^5.68 + t^5.84 + t^6.16 + 3*t^6.32 + 4*t^6.49 + 4*t^6.65 + 3*t^6.81 + 3*t^6.97 + 3*t^7.14 + 3*t^7.3 + 3*t^7.46 + 3*t^7.62 + 4*t^7.78 + 4*t^7.95 + 4*t^8.11 + t^8.27 + t^8.43 + 2*t^8.59 + 4*t^8.76 + 4*t^8.92 - t^4.46/y - t^6.73/y + t^7.22/y + t^7.86/y + t^8.03/y + t^8.19/y + t^8.35/y + (2*t^8.51)/y + (3*t^8.68)/y + (3*t^8.84)/y - t^4.46*y - t^6.73*y + t^7.22*y + t^7.86*y + t^8.03*y + t^8.19*y + t^8.35*y + 2*t^8.51*y + 3*t^8.68*y + 3*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 5920 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1M_8$ | 0.6253 | 0.7706 | 0.8115 | [X:[], M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.0811, 1.2432], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.43 + t^2.59 + t^3.08 + t^3.24 + t^3.41 + t^3.57 + 2*t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.86 + t^5.03 + t^5.19 + t^5.51 + t^5.68 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 253401/405224, c: 78067/101306, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 40/37, M8: 46/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 5923 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6646 | 0.8436 | 0.7878 | [X:[], M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.0811, 0.7027], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.11 + t^2.27 + t^2.43 + t^2.59 + t^3.08 + t^3.24 + t^3.41 + t^3.57 + t^3.73 + 2*t^4.05 + 2*t^4.22 + 2*t^4.38 + 2*t^4.54 + 2*t^4.7 + 2*t^4.86 + t^5.03 + 2*t^5.19 + 2*t^5.35 + 3*t^5.51 + 3*t^5.68 + 2*t^5.84 - t^4.46/y - t^4.46*y | detail | {a: 269301/405224, c: 170929/202612, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 40/37, M8: 26/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 5922 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6628 | 0.8385 | 0.7905 | [X:[], M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.0811, 0.7568], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | 2*t^2.27 + t^2.43 + t^2.59 + t^3.08 + t^3.24 + t^3.41 + t^3.57 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + 3*t^4.54 + 2*t^4.7 + 3*t^4.86 + t^5.03 + t^5.19 + 2*t^5.35 + 3*t^5.51 + 3*t^5.68 + 2*t^5.84 - t^6. - t^4.46/y - t^4.46*y | detail | {a: 134301/202612, c: 169895/202612, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 40/37, M8: 28/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2392 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_7q_1\tilde{q}_2$ + $ \phi_1q_2^2$ | 0.6466 | 0.8096 | 0.7987 | [X:[], M:[0.7113, 1.0431, 1.2025, 1.1164, 0.7975, 0.8836, 1.0303], q:[0.5279, 0.7608], qb:[0.3557, 0.4418], phi:[0.4785]] | t^2.13 + t^2.39 + t^2.65 + t^3.09 + t^3.13 + t^3.35 + t^3.57 + t^3.61 + t^3.83 + 2*t^4.09 + t^4.27 + t^4.34 + t^4.53 + t^4.6 + 2*t^4.78 + t^5.04 + t^5.22 + t^5.26 + t^5.3 + t^5.48 + t^5.52 + t^5.7 + t^5.74 + t^5.78 + 2*t^5.96 - t^6. - t^4.44/y - t^4.44*y | detail |