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 |
|---|---|---|---|---|---|---|---|---|---|
| 4364 | 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_3M_7$ + $ \phi_1q_2^2$ + $ q_1^2\tilde{q}_2^2$ | 0.6628 | 0.8404 | 0.7886 | [X:[], M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 36369/54872, c: 11529/13718, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_6$, $ q_1\tilde{q}_2$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_1M_6$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_4$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_2M_5$, $ M_2M_7$, $ M_1\phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_4M_7$, $ M_6q_1\tilde{q}_2$, $ M_2M_6$, $ M_5\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.05 + 2*t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.79 + 3*t^4.11 + 3*t^4.42 + 5*t^4.74 + 3*t^5.05 + t^5.21 + 3*t^5.37 + 3*t^5.53 + t^5.68 + 4*t^5.84 - t^6. + 6*t^6.16 - t^6.32 + 8*t^6.47 - t^6.63 + 8*t^6.79 + 9*t^7.11 + t^7.26 + 6*t^7.42 + 5*t^7.58 + 2*t^7.74 + 8*t^7.89 - 2*t^8.05 + 13*t^8.21 - 6*t^8.37 + 14*t^8.53 - 6*t^8.68 + 16*t^8.84 - t^4.42/y - t^6.47/y - t^6.79/y + (2*t^7.42)/y + (2*t^7.74)/y + (4*t^8.05)/y + t^8.21/y + (4*t^8.37)/y + (2*t^8.53)/y + (3*t^8.68)/y + (3*t^8.84)/y - t^4.42*y - t^6.47*y - t^6.79*y + 2*t^7.42*y + 2*t^7.74*y + 4*t^8.05*y + t^8.21*y + 4*t^8.37*y + 2*t^8.53*y + 3*t^8.68*y + 3*t^8.84*y | t^2.05 + 2*t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.79 + 3*t^4.11 + 3*t^4.42 + 5*t^4.74 + 3*t^5.05 + t^5.21 + 3*t^5.37 + 3*t^5.53 + t^5.68 + 4*t^5.84 - t^6. + 6*t^6.16 - t^6.32 + 8*t^6.47 - t^6.63 + 8*t^6.79 + 9*t^7.11 + t^7.26 + 6*t^7.42 + 5*t^7.58 + 2*t^7.74 + 8*t^7.89 - 2*t^8.05 + 13*t^8.21 - 6*t^8.37 + 14*t^8.53 - 6*t^8.68 + 16*t^8.84 - t^4.42/y - t^6.47/y - t^6.79/y + (2*t^7.42)/y + (2*t^7.74)/y + (4*t^8.05)/y + t^8.21/y + (4*t^8.37)/y + (2*t^8.53)/y + (3*t^8.68)/y + (3*t^8.84)/y - t^4.42*y - t^6.47*y - t^6.79*y + 2*t^7.42*y + 2*t^7.74*y + 4*t^8.05*y + t^8.21*y + 4*t^8.37*y + 2*t^8.53*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 |
|---|---|---|---|---|---|---|---|---|
| 5820 | $M_1q_1q_2$ + $ 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_3M_7$ + $ \phi_1q_2^2$ + $ q_1^2\tilde{q}_2^2$ + $ M_4M_8$ | 0.6723 | 0.8565 | 0.7849 | [X:[], M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895, 0.8947], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.05 + 2*t^2.37 + 2*t^2.68 + t^3. + t^3.16 + t^3.47 + t^3.79 + 3*t^4.11 + 3*t^4.42 + 6*t^4.74 + 5*t^5.05 + t^5.21 + 4*t^5.37 + 3*t^5.53 + 5*t^5.84 - 2*t^6. - t^4.42/y - t^4.42*y | detail | {a: 73785/109744, c: 94001/109744, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, M8: 17/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
| 5819 | $M_1q_1q_2$ + $ 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_3M_7$ + $ \phi_1q_2^2$ + $ q_1^2\tilde{q}_2^2$ + $ M_6M_8$ | 0.6533 | 0.8243 | 0.7925 | [X:[], M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895, 1.1053], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.05 + 2*t^2.37 + t^3. + t^3.16 + 2*t^3.32 + t^3.47 + t^3.79 + 3*t^4.11 + 3*t^4.42 + 4*t^4.74 + t^5.05 + t^5.21 + 3*t^5.37 + 3*t^5.53 + 2*t^5.68 + 3*t^5.84 - 2*t^6. - t^4.42/y - t^4.42*y | detail | {a: 71691/109744, c: 90463/109744, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, M8: 21/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
| 5822 | $M_1q_1q_2$ + $ 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_3M_7$ + $ \phi_1q_2^2$ + $ q_1^2\tilde{q}_2^2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6823 | 0.8764 | 0.7786 | [X:[], M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895, 0.7368], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.05 + t^2.21 + 2*t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + 3*t^4.11 + t^4.26 + 4*t^4.42 + 2*t^4.58 + 5*t^4.74 + t^4.89 + 3*t^5.05 + 2*t^5.21 + 4*t^5.37 + 4*t^5.53 + 2*t^5.68 + 3*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 74883/109744, c: 48091/54872, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, M8: 14/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
| 5821 | $M_1q_1q_2$ + $ 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_3M_7$ + $ \phi_1q_2^2$ + $ q_1^2\tilde{q}_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6765 | 0.864 | 0.783 | [X:[], M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 0.7895, 0.8421], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.05 + 2*t^2.37 + t^2.53 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.79 + 3*t^4.11 + 3*t^4.42 + t^4.58 + 5*t^4.74 + 2*t^4.89 + 4*t^5.05 + 2*t^5.21 + 3*t^5.37 + 3*t^5.53 + 2*t^5.68 + 3*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 74241/109744, c: 47409/54872, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 15/19, M8: 16/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2369 | 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_3M_7$ + $ \phi_1q_2^2$ | 0.6675 | 0.845 | 0.79 | [X:[], M:[0.7452, 1.0311, 1.1926, 1.1304, 0.8074, 0.8696, 0.8074], q:[0.497, 0.7578], qb:[0.3726, 0.4348], phi:[0.4845]] | t^2.24 + 2*t^2.42 + t^2.61 + t^2.8 + t^3.09 + t^3.39 + t^3.69 + t^3.88 + 2*t^4.06 + t^4.25 + t^4.44 + t^4.47 + 2*t^4.66 + 4*t^4.84 + 3*t^5.03 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.52 + t^5.59 + t^5.7 + t^5.89 + t^5.92 - 2*t^6. - t^4.45/y - t^4.45*y | detail |