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 |
|---|---|---|---|---|---|---|---|---|---|
| 8382 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ | 1.1344 | 1.2498 | 0.9077 | [X:[1.6615], M:[1.0154, 0.8462], q:[0.5769, 0.4077], qb:[], phi:[0.1692]] | [X:[[4]], M:[[-12], [-10]], q:[[5], [7]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_2$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ M_2\phi_1^4$, $ \phi_1^3q_1^2$, $ \phi_1^5q_2^2$, $ X_1$, $ M_2^2$, $ M_1\phi_1^4$, $ M_1M_2$, $ \phi_1^2q_2^4$ | $M_1\phi_1q_2^2$, $ \phi_1^7q_2^2$ | 1 | t^2.03 + t^2.54 + t^2.95 + t^3.05 + 3*t^3.97 + t^4.06 + t^4.48 + t^4.57 + 3*t^4.98 + 2*t^5.08 + t^5.58 + t^5.91 + t^6. + 2*t^6.09 + t^6.51 + t^6.6 + 3*t^6.92 + 4*t^7.02 + 2*t^7.11 + t^7.43 + t^7.52 + 2*t^7.62 + 7*t^7.94 + 3*t^8.03 + 3*t^8.12 + 2*t^8.45 - 2*t^8.54 + 2*t^8.63 + t^8.86 + 4*t^8.95 + t^8.03/y^2 - t^8.54/y^2 - t^3.51/y - t^4.52/y - t^5.54/y - t^6.05/y - t^6.46/y - (2*t^6.55)/y - t^7.06/y - (2*t^7.48)/y - t^7.57/y + t^7.98/y - t^8.49/y - (2*t^8.58)/y - t^3.51*y - t^4.52*y - t^5.54*y - t^6.05*y - t^6.46*y - 2*t^6.55*y - t^7.06*y - 2*t^7.48*y - t^7.57*y + t^7.98*y - t^8.49*y - 2*t^8.58*y + t^8.03*y^2 - t^8.54*y^2 | t^2.03/g1^8 + t^2.54/g1^10 + g1^12*t^2.95 + t^3.05/g1^12 + 3*g1^8*t^3.97 + t^4.06/g1^16 + g1^6*t^4.48 + t^4.57/g1^18 + 3*g1^4*t^4.98 + (2*t^5.08)/g1^20 + t^5.58/g1^22 + g1^24*t^5.91 + t^6. + (2*t^6.09)/g1^24 + t^6.51/g1^2 + t^6.6/g1^26 + 3*g1^20*t^6.92 + (4*t^7.02)/g1^4 + (2*t^7.11)/g1^28 + g1^18*t^7.43 + t^7.52/g1^6 + (2*t^7.62)/g1^30 + 7*g1^16*t^7.94 + (3*t^8.03)/g1^8 + (3*t^8.12)/g1^32 + 2*g1^14*t^8.45 - (2*t^8.54)/g1^10 + (2*t^8.63)/g1^34 + g1^36*t^8.86 + 4*g1^12*t^8.95 + t^8.03/(g1^8*y^2) - t^8.54/(g1^10*y^2) - t^3.51/(g1^2*y) - t^4.52/(g1^6*y) - t^5.54/(g1^10*y) - t^6.05/(g1^12*y) - (g1^10*t^6.46)/y - (2*t^6.55)/(g1^14*y) - t^7.06/(g1^16*y) - (2*g1^6*t^7.48)/y - t^7.57/(g1^18*y) + (g1^4*t^7.98)/y - (g1^2*t^8.49)/y - (2*t^8.58)/(g1^22*y) - (t^3.51*y)/g1^2 - (t^4.52*y)/g1^6 - (t^5.54*y)/g1^10 - (t^6.05*y)/g1^12 - g1^10*t^6.46*y - (2*t^6.55*y)/g1^14 - (t^7.06*y)/g1^16 - 2*g1^6*t^7.48*y - (t^7.57*y)/g1^18 + g1^4*t^7.98*y - g1^2*t^8.49*y - (2*t^8.58*y)/g1^22 + (t^8.03*y^2)/g1^8 - (t^8.54*y^2)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8520 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^4$ | 1.1136 | 1.209 | 0.9211 | [X:[1.6609], M:[1.0173, 0.8477, 1.3218], q:[0.5761, 0.4066], qb:[], phi:[0.1695]] | t^2.54 + t^2.95 + t^3.05 + 4*t^3.97 + t^4.47 + 2*t^4.98 + t^5.09 + t^5.59 + t^5.9 - 2*t^6. - t^3.51/y - t^4.53/y - t^3.51*y - t^4.53*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8203 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1^5q_1^2$ + $ M_1q_1q_2$ | 1.1219 | 1.2307 | 0.9116 | [X:[1.6518], M:[1.0447], q:[0.5647, 0.3906], qb:[], phi:[0.1741]] | t^2.09 + t^2.87 + t^3.13 + t^3.39 + 3*t^3.91 + t^4.18 + t^4.43 + 3*t^4.96 + t^5.22 + t^5.73 + t^6. - t^3.52/y - t^4.57/y - t^5.61/y - t^3.52*y - t^4.57*y - t^5.61*y | detail |