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 |
|---|---|---|---|---|---|---|---|---|---|
| 4927 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1X_1$ + $ M_7^2$ | 0.5376 | 0.6665 | 0.8066 | [X:[1.1875], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 70461/131072, c: 87357/131072, X1: 19/16, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 1, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_7$, $ M_5$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_4M_7$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_4X_1$, $ M_3M_7$, $ M_4\phi_1\tilde{q}_1^2$ | . | 0 | t^2.06 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.69 + t^4.88 + t^5.06 + t^5.25 + t^5.44 + t^5.62 + t^5.81 + 2*t^6.19 + 2*t^6.38 + 2*t^6.56 + 3*t^6.75 + 3*t^6.94 + 3*t^7.12 + t^7.31 + 2*t^7.5 + t^7.69 + t^7.88 + t^8.25 + t^8.44 + t^8.62 - t^4.31/y + t^7.88/y + t^8.06/y + t^8.25/y + (2*t^8.44)/y + t^8.62/y + (2*t^8.81)/y - t^4.31*y + t^7.88*y + t^8.06*y + t^8.25*y + 2*t^8.44*y + t^8.62*y + 2*t^8.81*y | t^2.06 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.69 + t^4.88 + t^5.06 + t^5.25 + t^5.44 + t^5.62 + t^5.81 + 2*t^6.19 + 2*t^6.38 + 2*t^6.56 + 3*t^6.75 + 3*t^6.94 + 3*t^7.12 + t^7.31 + 2*t^7.5 + t^7.69 + t^7.88 + t^8.25 + t^8.44 + t^8.62 - t^4.31/y + t^7.88/y + t^8.06/y + t^8.25/y + (2*t^8.44)/y + t^8.62/y + (2*t^8.81)/y - t^4.31*y + t^7.88*y + t^8.06*y + t^8.25*y + 2*t^8.44*y + t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 6522 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1X_1$ + $ M_7^2$ + $ M_5M_8$ | 0.5434 | 0.6762 | 0.8036 | [X:[1.1875], M:[0.8125, 1.125, 0.9375, 0.6875, 1.0625, 1.3125, 1.0, 0.9375], q:[0.9062, 0.2812], qb:[0.4062, 0.6562], phi:[0.4375]] | t^2.06 + 2*t^2.81 + t^3. + 2*t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.69 + 2*t^4.88 + t^5.06 + t^5.44 + 3*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 17805/32768, c: 22157/32768, X1: 19/16, M1: 13/16, M2: 9/8, M3: 15/16, M4: 11/16, M5: 17/16, M6: 21/16, M7: 1, M8: 15/16, q1: 29/32, q2: 9/32, qb1: 13/32, qb2: 21/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3079 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_1X_1$ | 0.5666 | 0.7034 | 0.8055 | [X:[1.3424], M:[0.6576, 1.1532, 1.0361, 0.7297, 0.9639, 1.2703, 0.7747], q:[0.9415, 0.401], qb:[0.3288, 0.6351], phi:[0.4234]] | t^2.19 + t^2.32 + t^2.89 + t^3.11 + t^3.24 + 2*t^3.46 + t^3.81 + t^4.03 + t^4.38 + t^4.51 + t^4.65 + t^4.73 + t^5.08 + t^5.22 + t^5.3 + t^5.43 + t^5.57 + t^5.65 + 2*t^5.78 - t^6. - t^4.27/y - t^4.27*y | detail |