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 |
|---|---|---|---|---|---|---|---|---|---|
| 4414 | 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_6M_7$ + $ \phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.6691 | 0.8284 | 0.8077 | [X:[], M:[0.7742, 1.0968, 1.0323, 0.8387, 0.9677, 1.1613, 0.8387], q:[0.7742, 0.4516], qb:[0.3871, 0.5806], phi:[0.4516]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 318939/476656, c: 197429/238328, M1: 24/31, M2: 34/31, M3: 32/31, M4: 26/31, M5: 30/31, M6: 36/31, M7: 26/31, q1: 24/31, q2: 14/31, qb1: 12/31, qb2: 18/31, phi1: 14/31} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_7$, $ M_5$, $ M_3$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_1M_5$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_7$, $ M_2M_4$, $ M_5^2$, $ M_2M_7$ | . | -1 | t^2.32 + 2*t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 3*t^4.84 + 3*t^5.03 + t^5.23 + 2*t^5.42 + 2*t^5.61 + 2*t^5.81 - t^6. + 3*t^6.19 + 3*t^6.39 + 4*t^6.58 + 2*t^6.77 + 3*t^6.97 + 4*t^7.16 + 5*t^7.35 + 5*t^7.55 + 3*t^7.74 + 4*t^7.94 + 5*t^8.13 + t^8.32 + 4*t^8.71 + 4*t^8.9 - t^4.35/y - t^6.68/y - t^6.87/y + (3*t^7.84)/y + (2*t^8.03)/y + t^8.23/y + (3*t^8.42)/y + (3*t^8.61)/y + (2*t^8.81)/y - t^4.35*y - t^6.68*y - t^6.87*y + 3*t^7.84*y + 2*t^8.03*y + t^8.23*y + 3*t^8.42*y + 3*t^8.61*y + 2*t^8.81*y | t^2.32 + 2*t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 3*t^4.84 + 3*t^5.03 + t^5.23 + 2*t^5.42 + 2*t^5.61 + 2*t^5.81 - t^6. + 3*t^6.19 + 3*t^6.39 + 4*t^6.58 + 2*t^6.77 + 3*t^6.97 + 4*t^7.16 + 5*t^7.35 + 5*t^7.55 + 3*t^7.74 + 4*t^7.94 + 5*t^8.13 + t^8.32 + 4*t^8.71 + 4*t^8.9 - t^4.35/y - t^6.68/y - t^6.87/y + (3*t^7.84)/y + (2*t^8.03)/y + t^8.23/y + (3*t^8.42)/y + (3*t^8.61)/y + (2*t^8.81)/y - t^4.35*y - t^6.68*y - t^6.87*y + 3*t^7.84*y + 2*t^8.03*y + t^8.23*y + 3*t^8.42*y + 3*t^8.61*y + 2*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 5912 | $M_1q_1q_2$ + $ 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_6M_7$ + $ \phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1M_8$ | 0.6512 | 0.7963 | 0.8177 | [X:[], M:[0.7742, 1.0968, 1.0323, 0.8387, 0.9677, 1.1613, 0.8387, 1.2258], q:[0.7742, 0.4516], qb:[0.3871, 0.5806], phi:[0.4516]] | 2*t^2.52 + t^2.9 + t^3.1 + t^3.29 + 2*t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.84 + 3*t^5.03 + t^5.42 + t^5.61 + 2*t^5.81 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 38799/59582, c: 23724/29791, M1: 24/31, M2: 34/31, M3: 32/31, M4: 26/31, M5: 30/31, M6: 36/31, M7: 26/31, M8: 38/31, q1: 24/31, q2: 14/31, qb1: 12/31, qb2: 18/31, phi1: 14/31} |
| 5916 | $M_1q_1q_2$ + $ 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_6M_7$ + $ \phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_3M_8$ | 0.6721 | 0.8334 | 0.8065 | [X:[], M:[0.7742, 1.0968, 1.0323, 0.8387, 0.9677, 1.1613, 0.8387, 0.9677], q:[0.7742, 0.4516], qb:[0.3871, 0.5806], phi:[0.4516]] | t^2.32 + 2*t^2.52 + 2*t^2.9 + t^3.29 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 3*t^4.84 + 3*t^5.03 + 2*t^5.23 + 3*t^5.42 + 4*t^5.81 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 40047/59582, c: 49657/59582, M1: 24/31, M2: 34/31, M3: 32/31, M4: 26/31, M5: 30/31, M6: 36/31, M7: 26/31, M8: 30/31, q1: 24/31, q2: 14/31, qb1: 12/31, qb2: 18/31, phi1: 14/31} |
| 5915 | $M_1q_1q_2$ + $ 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_6M_7$ + $ \phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_5M_8$ | 0.6661 | 0.8234 | 0.809 | [X:[], M:[0.7742, 1.0968, 1.0323, 0.8387, 0.9677, 1.1613, 0.8387, 1.0323], q:[0.7742, 0.4516], qb:[0.3871, 0.5806], phi:[0.4516]] | t^2.32 + 2*t^2.52 + 2*t^3.1 + t^3.29 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 3*t^4.84 + 3*t^5.03 + t^5.42 + 4*t^5.61 + t^5.81 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 5121/7688, c: 3165/3844, M1: 24/31, M2: 34/31, M3: 32/31, M4: 26/31, M5: 30/31, M6: 36/31, M7: 26/31, M8: 32/31, q1: 24/31, q2: 14/31, qb1: 12/31, qb2: 18/31, phi1: 14/31} |
| 5917 | $M_1q_1q_2$ + $ 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_6M_7$ + $ \phi_1q_1^2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.687 | 0.8604 | 0.7985 | [X:[], M:[0.7742, 1.0968, 1.0323, 0.8387, 0.9677, 1.1613, 0.8387, 0.7742], q:[0.7742, 0.4516], qb:[0.3871, 0.5806], phi:[0.4516]] | 2*t^2.32 + 2*t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + 3*t^4.65 + 5*t^4.84 + 3*t^5.03 + 2*t^5.23 + 3*t^5.42 + 3*t^5.61 + 2*t^5.81 - 2*t^6. - t^4.35/y - t^4.35*y | detail | {a: 163743/238328, c: 102533/119164, M1: 24/31, M2: 34/31, M3: 32/31, M4: 26/31, M5: 30/31, M6: 36/31, M7: 26/31, M8: 24/31, q1: 24/31, q2: 14/31, qb1: 12/31, qb2: 18/31, phi1: 14/31} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2386 | 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_6M_7$ + $ \phi_1q_1^2$ | 0.6693 | 0.8286 | 0.8077 | [X:[], M:[0.763, 1.0983, 1.0405, 0.8439, 0.9595, 1.1561, 0.8439], q:[0.7746, 0.4624], qb:[0.3815, 0.578], phi:[0.4509]] | t^2.29 + 2*t^2.53 + t^2.88 + t^3.12 + t^3.29 + t^3.64 + t^3.88 + t^4.06 + t^4.13 + t^4.23 + t^4.47 + t^4.58 + 3*t^4.82 + 3*t^5.06 + t^5.17 + 2*t^5.41 + t^5.58 + t^5.65 + 2*t^5.83 + t^5.93 - 2*t^6. - t^4.35/y - t^4.35*y | detail |