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 |
|---|---|---|---|---|---|---|---|---|---|
| 9032 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ + $ M_2M_4$ + $ M_3\phi_1^4$ + $ M_5\phi_1^4$ | 1.1041 | 1.2356 | 0.8935 | [X:[1.5789], M:[0.9474, 1.0526, 1.1579, 0.9474, 1.1579], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 30291/27436, c: 33901/27436, X1: 30/19, M1: 18/19, M2: 20/19, M3: 22/19, M4: 18/19, M5: 22/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ M_1$, $ M_4$, $ M_3$, $ M_5$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ q_1^2q_2^2$, $ X_1$, $ M_1q_1q_2$, $ M_4q_1q_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_3q_1q_2$, $ M_5q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^3q_1q_2^3$ | -1 | t^2.21 + 2*t^2.84 + 3*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + t^4.74 + 2*t^5.05 + 5*t^5.68 - t^6. + 5*t^6.32 + 3*t^6.63 + 6*t^6.95 + 5*t^7.26 + 3*t^7.58 + 7*t^7.89 + t^8.21 + 9*t^8.53 - 2*t^8.84 + t^8.53/y^2 - t^8.84/y^2 - t^3.63/y - t^4.89/y - t^5.84/y - (2*t^6.47)/y - (3*t^7.11)/y - (2*t^7.74)/y + t^8.05/y - (2*t^8.37)/y + (2*t^8.68)/y - t^3.63*y - t^4.89*y - t^5.84*y - 2*t^6.47*y - 3*t^7.11*y - 2*t^7.74*y + t^8.05*y - 2*t^8.37*y + 2*t^8.68*y + t^8.53*y^2 - t^8.84*y^2 | t^2.21 + 2*t^2.84 + 3*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + t^4.74 + 2*t^5.05 + 5*t^5.68 - t^6. + 5*t^6.32 + 3*t^6.63 + 6*t^6.95 + 5*t^7.26 + 3*t^7.58 + 7*t^7.89 + t^8.21 + 9*t^8.53 - 2*t^8.84 + t^8.53/y^2 - t^8.84/y^2 - t^3.63/y - t^4.89/y - t^5.84/y - (2*t^6.47)/y - (3*t^7.11)/y - (2*t^7.74)/y + t^8.05/y - (2*t^8.37)/y + (2*t^8.68)/y - t^3.63*y - t^4.89*y - t^5.84*y - 2*t^6.47*y - 3*t^7.11*y - 2*t^7.74*y + t^8.05*y - 2*t^8.37*y + 2*t^8.68*y + t^8.53*y^2 - t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 9057 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ + $ M_2M_4$ + $ M_3\phi_1^4$ + $ M_5\phi_1^4$ + $ M_6q_1q_2$ | 1.0845 | 1.1996 | 0.904 | [X:[1.5789], M:[0.9474, 1.0526, 1.1579, 0.9474, 1.1579, 1.2632], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | 2*t^2.84 + 3*t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + 2*t^5.68 - 2*t^6. - t^3.63/y - t^4.89/y - t^3.63*y - t^4.89*y | detail | {a: 119019/109744, c: 65827/54872, X1: 30/19, M1: 18/19, M2: 20/19, M3: 22/19, M4: 18/19, M5: 22/19, M6: 24/19, q1: 8/19, q2: 6/19, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8914 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_3\phi_1q_2^2$ + $ M_2M_4$ + $ M_3\phi_1^4$ | 1.1178 | 1.2592 | 0.8877 | [X:[1.5789], M:[0.9474, 1.0526, 1.1579, 0.9474], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | t^2.21 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + 2*t^4.74 + 3*t^5.05 + 2*t^5.37 + 4*t^5.68 + t^6. - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y | detail | {a: 122667/109744, c: 69095/54872, X1: 30/19, M1: 18/19, M2: 20/19, M3: 22/19, M4: 18/19, q1: 8/19, q2: 6/19, phi1: 4/19} |