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 |
|---|---|---|---|---|---|---|---|---|---|
| 8875 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1q_1q_2$ + $ M_3M_4$ | 1.0933 | 1.215 | 0.8998 | [X:[1.5789], M:[1.2632, 1.1579, 0.9474, 1.0526], q:[0.3158, 0.4211], qb:[], phi:[0.2105]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 6315/5776, c: 3509/2888, X1: 30/19, M1: 24/19, M2: 22/19, M3: 18/19, M4: 20/19, q1: 6/19, q2: 8/19, phi1: 4/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_3$, $ M_4$, $ M_2$, $ \phi_1^2q_1q_2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ \phi_1^8$, $ M_3\phi_1^4$, $ M_3^2$, $ M_4\phi_1^4$ | $\phi_1^6q_1q_2$ | 1 | t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + t^5.37 + t^5.68 + t^6. + 3*t^6.32 + 4*t^6.63 + 4*t^6.95 + 5*t^7.26 + 5*t^7.58 + 4*t^7.89 + 3*t^8.21 + 4*t^8.53 + 2*t^8.84 + t^8.53/y^2 - t^3.63/y - t^4.89/y - t^6.16/y - t^6.47/y - t^6.79/y - t^7.11/y - (2*t^7.42)/y - t^7.74/y - t^8.05/y - t^8.68/y - t^3.63*y - t^4.89*y - t^6.16*y - t^6.47*y - t^6.79*y - t^7.11*y - 2*t^7.42*y - t^7.74*y - t^8.05*y - t^8.68*y + t^8.53*y^2 | t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + t^5.37 + t^5.68 + t^6. + 3*t^6.32 + 4*t^6.63 + 4*t^6.95 + 5*t^7.26 + 5*t^7.58 + 4*t^7.89 + 3*t^8.21 + 4*t^8.53 + 2*t^8.84 + t^8.53/y^2 - t^3.63/y - t^4.89/y - t^6.16/y - t^6.47/y - t^6.79/y - t^7.11/y - (2*t^7.42)/y - t^7.74/y - t^8.05/y - t^8.68/y - t^3.63*y - t^4.89*y - t^6.16*y - t^6.47*y - t^6.79*y - t^7.11*y - 2*t^7.42*y - t^7.74*y - t^8.05*y - t^8.68*y + t^8.53*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8939 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1q_1q_2$ + $ M_3M_4$ + $ M_3M_5$ | 1.0884 | 1.2068 | 0.9019 | [X:[1.5789], M:[1.2632, 1.1579, 0.9474, 1.0526, 1.0526], q:[0.3158, 0.4211], qb:[], phi:[0.2105]] | t^2.53 + 2*t^3.16 + 2*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + t^5.68 - t^3.63/y - t^4.89/y - t^3.63*y - t^4.89*y | detail | {a: 14931/13718, c: 33111/27436, X1: 30/19, M1: 24/19, M2: 22/19, M3: 18/19, M4: 20/19, M5: 20/19, q1: 6/19, q2: 8/19, phi1: 4/19} |
| 8961 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1q_1q_2$ + $ M_3M_4$ + $ M_5\phi_1^4$ | 1.0796 | 1.1915 | 0.9061 | [X:[1.5789], M:[1.2632, 1.1579, 0.9474, 1.0526, 1.1579], q:[0.3158, 0.4211], qb:[], phi:[0.2105]] | t^2.84 + t^3.16 + 3*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 - t^6. - t^3.63/y - t^4.89/y - t^3.63*y - t^4.89*y | detail | {a: 59241/54872, c: 32689/27436, X1: 30/19, M1: 24/19, M2: 22/19, M3: 18/19, M4: 20/19, M5: 22/19, q1: 6/19, q2: 8/19, phi1: 4/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8766 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_4\phi_1q_1q_2$ | 1.0985 | 1.2223 | 0.8988 | [X:[1.592], M:[1.224, 1.184, 0.856, 1.02], q:[0.306, 0.47], qb:[], phi:[0.204]] | t^2.45 + t^2.57 + t^3.06 + 2*t^3.55 + 2*t^3.67 + t^4.16 + t^4.66 + t^4.78 + t^4.9 + t^5.02 + t^5.14 + t^5.63 - t^3.61/y - t^4.84/y - t^3.61*y - t^4.84*y | detail |