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 |
|---|---|---|---|---|---|---|---|---|---|
| 8223 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_1\phi_1^4$ | 1.137 | 1.262 | 0.901 | [X:[1.6], M:[1.2], q:[0.4, 0.4], qb:[], phi:[0.2]] | [X:[[0]], M:[[0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 1137/1000, c: 631/500, X1: 8/5, M1: 6/5, q1: 2/5, q2: 2/5, phi1: 1/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ X_1$, $ \phi_1^5q_1^2$, $ \phi_1^5q_1q_2$, $ \phi_1^5q_2^2$, $ \phi_1^5q_1^2$, $ \phi_1^5q_2^2$ | $\phi_1^2q_1^4$, $ \phi_1^6q_1q_2$, $ \phi_1^2q_1^3q_2$, $ 2\phi_1^2q_1^2q_2^2$, $ \phi_1^2q_1q_2^3$, $ \phi_1^2q_2^4$ | 4 | t^2.4 + 3*t^3. + 2*t^3.6 + 3*t^4.2 + 2*t^4.8 + 3*t^5.4 + 4*t^6. + 6*t^6.6 + 10*t^7.2 + 6*t^7.8 + 11*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - t^6./y - (3*t^6.6)/y - (2*t^7.2)/y - (3*t^7.8)/y + t^8.4/y - t^3.6*y - t^4.8*y - t^6.*y - 3*t^6.6*y - 2*t^7.2*y - 3*t^7.8*y + t^8.4*y + t^8.4*y^2 | t^2.4 + t^3. + t^3./g1^2 + g1^2*t^3. + 2*t^3.6 + t^4.2 + t^4.2/g1^2 + g1^2*t^4.2 + 2*t^4.8 + t^5.4 + t^5.4/g1^2 + g1^2*t^5.4 + 2*t^6. + t^6./g1^4 + g1^4*t^6. + 2*t^6.6 + (2*t^6.6)/g1^2 + 2*g1^2*t^6.6 + 6*t^7.2 + t^7.2/g1^4 + t^7.2/g1^2 + g1^2*t^7.2 + g1^4*t^7.2 + 2*t^7.8 + (2*t^7.8)/g1^2 + 2*g1^2*t^7.8 + 5*t^8.4 + (2*t^8.4)/g1^4 + t^8.4/g1^2 + g1^2*t^8.4 + 2*g1^4*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - t^6./y - t^6.6/y - t^6.6/(g1^2*y) - (g1^2*t^6.6)/y - (2*t^7.2)/y - t^7.8/y - t^7.8/(g1^2*y) - (g1^2*t^7.8)/y - t^8.4/y + t^8.4/(g1^2*y) + (g1^2*t^8.4)/y - t^3.6*y - t^4.8*y - t^6.*y - t^6.6*y - (t^6.6*y)/g1^2 - g1^2*t^6.6*y - 2*t^7.2*y - t^7.8*y - (t^7.8*y)/g1^2 - g1^2*t^7.8*y - t^8.4*y + (t^8.4*y)/g1^2 + g1^2*t^8.4*y + t^8.4*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 |
|---|---|---|---|---|---|---|---|---|
| 8470 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ | 1.1391 | 1.267 | 0.8991 | [X:[1.6], M:[1.2, 0.9546], q:[0.4227, 0.3773], qb:[], phi:[0.2]] | t^2.4 + 2*t^2.86 + t^3. + 2*t^3.6 + t^4.06 + t^4.2 + t^4.34 + 2*t^4.8 + 2*t^5.26 + t^5.4 + 3*t^5.73 + t^5.86 + t^6. - t^3.6/y - t^4.8/y - t^6./y - t^3.6*y - t^4.8*y - t^6.*y | detail | |
| 8469 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_1\phi_1^4$ + $ M_2\phi_1^4$ | 1.1205 | 1.233 | 0.9088 | [X:[1.6], M:[1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[0.2]] | 3*t^3. + 3*t^3.6 + 3*t^4.2 + t^4.8 + 2*t^6. - t^3.6/y - t^4.8/y - t^3.6*y - t^4.8*y | detail | {a: 2241/2000, c: 1233/1000, X1: 8/5, M1: 6/5, M2: 6/5, q1: 2/5, q2: 2/5, phi1: 1/5} |
| 8468 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_1\phi_1^4$ + $ \phi_1^3q_1^2$ + $ \phi_1q_2^2X_2$ | 0.777 | 0.8645 | 0.8988 | [X:[1.6, 1.6], M:[1.2], q:[0.7, 0.1], qb:[], phi:[0.2]] | 2*t^2.4 + t^3. + 2*t^3.6 + 5*t^4.8 + t^5.4 + 2*t^6. - t^3.6/y - t^4.8/y - t^6./y - t^3.6*y - t^4.8*y - t^6.*y | detail | {a: 777/1000, c: 1729/2000, X1: 8/5, X2: 8/5, M1: 6/5, q1: 7/10, q2: 1/10, phi1: 1/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8190 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ | 1.1501 | 1.263 | 0.9106 | [X:[1.6387], M:[1.084], q:[0.458, 0.458], qb:[], phi:[0.1807]] | t^2.17 + t^3.25 + 3*t^3.29 + t^3.83 + t^4.34 + 3*t^4.37 + t^4.92 + t^5.42 + 3*t^5.46 - 3*t^6. - t^3.54/y - t^4.63/y - t^5.71/y - t^3.54*y - t^4.63*y - t^5.71*y | detail |