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 |
|---|---|---|---|---|---|---|---|---|---|
| 8773 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_2M_4$ | 1.1433 | 1.2661 | 0.903 | [X:[1.6139], M:[1.1583, 1.0347, 0.9653, 0.9653], q:[0.3861, 0.4556], qb:[], phi:[0.1931]] | [X:[[2]], M:[[-6], [5], [-5], [-5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_3$, $ M_4$, $ \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_1^8$, $ X_1$, $ M_3\phi_1^4$, $ M_4\phi_1^4$, $ \phi_1^5q_2^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_1\phi_1^4$ | $\phi_1^6q_1q_2$ | -1 | t^2.32 + 2*t^2.9 + t^3.31 + t^3.47 + t^3.68 + t^4.05 + t^4.26 + t^4.47 + t^4.63 + t^4.84 + 2*t^5.21 + t^5.63 + 3*t^5.79 - t^6. + t^6.21 + 2*t^6.37 + 2*t^6.58 + t^6.63 + t^6.79 + 3*t^6.95 + t^7. + 3*t^7.16 + 2*t^7.37 + 2*t^7.53 + t^7.58 + 2*t^7.74 + t^7.78 + t^7.95 + 4*t^8.11 + t^8.15 + 2*t^8.32 + 2*t^8.53 + 4*t^8.69 + t^8.73 - 3*t^8.9 + 2*t^8.94 + t^8.32/y^2 - t^8.9/y^2 - t^3.58/y - t^4.74/y - t^5.9/y - (2*t^6.47)/y - t^6.89/y - (2*t^7.05)/y - (2*t^7.63)/y - t^8.05/y + t^8.63/y - t^3.58*y - t^4.74*y - t^5.9*y - 2*t^6.47*y - t^6.89*y - 2*t^7.05*y - 2*t^7.63*y - t^8.05*y + t^8.63*y + t^8.32*y^2 - t^8.9*y^2 | t^2.32/g1^4 + (2*t^2.9)/g1^5 + g1^15*t^3.31 + t^3.47/g1^6 + g1^4*t^3.68 + t^4.05/g1^7 + g1^3*t^4.26 + g1^13*t^4.47 + t^4.63/g1^8 + g1^2*t^4.84 + (2*t^5.21)/g1^9 + g1^11*t^5.63 + (3*t^5.79)/g1^10 - t^6. + g1^10*t^6.21 + (2*t^6.37)/g1^11 + (2*t^6.58)/g1 + g1^30*t^6.63 + g1^9*t^6.79 + (3*t^6.95)/g1^12 + g1^19*t^7. + (3*t^7.16)/g1^2 + 2*g1^8*t^7.37 + (2*t^7.53)/g1^13 + g1^18*t^7.58 + (2*t^7.74)/g1^3 + g1^28*t^7.78 + g1^7*t^7.95 + (4*t^8.11)/g1^14 + g1^17*t^8.15 + (2*t^8.32)/g1^4 + 2*g1^6*t^8.53 + (4*t^8.69)/g1^15 + g1^16*t^8.73 - (3*t^8.9)/g1^5 + 2*g1^26*t^8.94 + t^8.32/(g1^4*y^2) - t^8.9/(g1^5*y^2) - t^3.58/(g1*y) - t^4.74/(g1^3*y) - t^5.9/(g1^5*y) - (2*t^6.47)/(g1^6*y) - (g1^14*t^6.89)/y - (2*t^7.05)/(g1^7*y) - (2*t^7.63)/(g1^8*y) - (g1^12*t^8.05)/y + (g1^11*t^8.63)/y - (t^3.58*y)/g1 - (t^4.74*y)/g1^3 - (t^5.9*y)/g1^5 - (2*t^6.47*y)/g1^6 - g1^14*t^6.89*y - (2*t^7.05*y)/g1^7 - (2*t^7.63*y)/g1^8 - g1^12*t^8.05*y + g1^11*t^8.63*y + (t^8.32*y^2)/g1^4 - (t^8.9*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8887 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_2M_4$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.957 | 1.0436 | 0.9171 | [X:[1.6923, 1.3846], M:[0.9231, 1.2308, 0.7692, 0.7692], q:[0.3077, 0.7692], qb:[], phi:[0.1538]] | 2*t^2.31 + t^2.77 + t^3.23 + 2*t^4.15 + 3*t^4.62 + 3*t^5.08 + 2*t^5.54 - t^6. - t^3.46/y - t^4.38/y - (2*t^5.77)/y - t^3.46*y - t^4.38*y - 2*t^5.77*y | detail | {a: 16821/17576, c: 9171/8788, X1: 22/13, X2: 18/13, M1: 12/13, M2: 16/13, M3: 10/13, M4: 10/13, q1: 4/13, q2: 10/13, phi1: 2/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8613 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ | 1.1404 | 1.2622 | 0.9035 | [X:[1.6102], M:[1.1693, 1.0256, 0.9744], q:[0.3898, 0.441], qb:[], phi:[0.1949]] | t^2.34 + t^2.92 + t^3.08 + t^3.23 + t^3.51 + t^3.66 + t^4.09 + t^4.25 + t^4.4 + t^4.68 + t^4.83 + t^5.26 + t^5.42 + t^5.57 + t^5.85 - t^3.58/y - t^4.75/y - t^5.92/y - t^3.58*y - t^4.75*y - t^5.92*y | detail |