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 |
|---|---|---|---|---|---|---|---|---|---|
| 1613 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_6$ | 0.6249 | 0.7697 | 0.812 | [X:[], M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 68583/109744, c: 84467/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_4$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_4M_5$, $ M_6^2$, $ M_2M_5$, $ M_2M_6$, $ M_5\phi_1q_2^2$ | . | 0 | t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.63 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 2*t^4.74 + t^5.05 + t^5.37 + t^5.53 + 2*t^5.84 + 2*t^6.16 + t^6.32 + 3*t^6.47 + t^6.63 + 3*t^6.79 + 2*t^6.95 + 4*t^7.11 + 2*t^7.26 + 3*t^7.42 + 3*t^7.58 + 2*t^7.74 + 3*t^7.89 + t^8.05 + 4*t^8.21 - t^8.37 + 3*t^8.53 - t^8.68 + 3*t^8.84 - t^4.42/y + t^8.05/y + t^8.37/y + t^8.53/y + (2*t^8.68)/y + (2*t^8.84)/y - t^4.42*y + t^8.05*y + t^8.37*y + t^8.53*y + 2*t^8.68*y + 2*t^8.84*y | t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.63 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 2*t^4.74 + t^5.05 + t^5.37 + t^5.53 + 2*t^5.84 + 2*t^6.16 + t^6.32 + 3*t^6.47 + t^6.63 + 3*t^6.79 + 2*t^6.95 + 4*t^7.11 + 2*t^7.26 + 3*t^7.42 + 3*t^7.58 + 2*t^7.74 + 3*t^7.89 + t^8.05 + 4*t^8.21 - t^8.37 + 3*t^8.53 - t^8.68 + 3*t^8.84 - t^4.42/y + t^8.05/y + t^8.37/y + t^8.53/y + (2*t^8.68)/y + (2*t^8.84)/y - t^4.42*y + t^8.05*y + t^8.37*y + t^8.53*y + 2*t^8.68*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 3999 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_1M_7$ | 0.642 | 0.7999 | 0.8026 | [X:[], M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 0.7895], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | 2*t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 4*t^4.74 + 2*t^5.05 + 2*t^5.37 + 2*t^5.53 + t^5.68 + 3*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 70461/109744, c: 87789/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 15/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 3995 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_3M_7$ | 0.6345 | 0.7858 | 0.8074 | [X:[], M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 0.8947], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.37 + 2*t^2.68 + t^3. + t^3.16 + t^3.47 + t^3.63 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 2*t^4.74 + 2*t^5.05 + 3*t^5.37 + t^5.53 + 3*t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 34815/54872, c: 21559/27436, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 17/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 3996 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_6M_7$ | 0.6154 | 0.7536 | 0.8167 | [X:[], M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 1.1053], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.37 + t^3. + t^3.16 + 2*t^3.32 + t^3.47 + t^3.63 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 2*t^4.74 + t^5.53 + t^5.84 - t^6. - t^4.42/y - t^4.42*y | detail | {a: 4221/6859, c: 41349/54872, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 21/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 4000 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6445 | 0.8057 | 0.7999 | [X:[], M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 0.7368], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.21 + t^2.37 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.47 + t^3.63 + t^3.95 + 2*t^4.11 + 2*t^4.42 + t^4.58 + 2*t^4.74 + t^4.89 + t^5.05 + t^5.21 + 2*t^5.37 + 2*t^5.53 + t^5.68 + 3*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 8841/13718, c: 88417/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 14/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
| 3998 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_7\phi_1q_2^2$ | 0.6386 | 0.7932 | 0.8051 | [X:[], M:[1.2105, 1.0526, 1.1053, 1.0, 0.7895, 0.8947, 0.8421], q:[0.7632, 0.3421], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.37 + t^2.53 + t^2.68 + t^3. + t^3.16 + t^3.32 + t^3.63 + t^3.79 + t^3.95 + 2*t^4.11 + t^4.42 + 2*t^4.74 + t^4.89 + 2*t^5.05 + t^5.21 + t^5.37 + 2*t^5.53 + t^5.68 + 2*t^5.84 - t^4.42/y - t^4.42*y | detail | {a: 35043/54872, c: 87053/109744, M1: 23/19, M2: 20/19, M3: 21/19, M4: 1, M5: 15/19, M6: 17/19, M7: 16/19, q1: 29/38, q2: 13/38, qb1: 17/38, qb2: 21/38, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6579 | 0.8085 | 0.8137 | [X:[], M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.47 + t^4.61 + t^4.77 + t^4.93 + 2*t^5.08 + t^5.23 + t^5.39 + t^5.62 + t^5.69 + t^5.77 + t^5.92 - t^6. - t^4.31/y - t^4.31*y | detail |