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 |
|---|---|---|---|---|---|---|---|---|---|
| 8577 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_2^2$ | 1.1516 | 1.2567 | 0.9164 | [X:[1.6591], M:[1.3183, 1.0226, 0.8521, 0.8521], q:[0.4887, 0.4887], qb:[], phi:[0.1704]] | [X:[[0, 2]], M:[[0, 4], [0, -6], [2, -11], [-2, 1]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_2$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_2M_3$, $ M_2M_4$ | $M_3\phi_1q_1q_2$, $ M_4\phi_1q_1q_2$ | -2 | 2*t^2.56 + t^3.07 + t^3.44 + 2*t^3.95 + 3*t^4.47 + t^4.98 + 3*t^5.11 + 2*t^5.62 - 2*t^6. + t^6.14 + 2*t^6.51 + t^6.89 + 5*t^7.02 + 2*t^7.4 + 2*t^7.53 + 4*t^7.67 + 5*t^7.91 + 2*t^8.05 + 3*t^8.18 + 4*t^8.42 - 4*t^8.56 + 2*t^8.69 + 6*t^8.93 + t^8.05/y^2 - t^3.51/y - t^4.53/y - (2*t^6.07)/y - t^6.58/y - t^6.95/y - (2*t^7.09)/y - t^7.47/y - t^7.6/y - t^7.98/y + t^8.11/y - t^8.49/y - t^8.62/y - t^3.51*y - t^4.53*y - 2*t^6.07*y - t^6.58*y - t^6.95*y - 2*t^7.09*y - t^7.47*y - t^7.6*y - t^7.98*y + t^8.11*y - t^8.49*y - t^8.62*y + t^8.05*y^2 | (g1^2*t^2.56)/g2^11 + (g2*t^2.56)/g1^2 + t^3.07/g2^6 + g2^5*t^3.44 + 2*g2^4*t^3.95 + (g1^2*t^4.47)/g2^3 + g2^3*t^4.47 + (g2^9*t^4.47)/g1^2 + g2^2*t^4.98 + (g1^4*t^5.11)/g2^22 + t^5.11/g2^10 + (g2^2*t^5.11)/g1^4 + (g1^2*t^5.62)/g2^17 + t^5.62/(g1^2*g2^5) - 2*t^6. + t^6.14/g2^12 + (g1^2*t^6.51)/g2^7 + (g2^5*t^6.51)/g1^2 + g2^10*t^6.89 + (g1^4*t^7.02)/g2^14 + (3*t^7.02)/g2^2 + (g2^10*t^7.02)/g1^4 + 2*g2^9*t^7.4 + (g1^2*t^7.53)/g2^9 + (g2^3*t^7.53)/g1^2 + (g1^6*t^7.67)/g2^33 + (g1^2*t^7.67)/g2^21 + t^7.67/(g1^2*g2^9) + (g2^3*t^7.67)/g1^6 + g1^2*g2^2*t^7.91 + 3*g2^8*t^7.91 + (g2^14*t^7.91)/g1^2 + (2*t^8.05)/g2^4 + (g1^4*t^8.18)/g2^28 + t^8.18/g2^16 + t^8.18/(g1^4*g2^4) + g1^2*g2*t^8.42 + 2*g2^7*t^8.42 + (g2^13*t^8.42)/g1^2 - (2*g1^2*t^8.56)/g2^11 - (2*g2*t^8.56)/g1^2 + (g1^2*t^8.69)/g2^23 + t^8.69/(g1^2*g2^11) + g1^2*t^8.93 + (g1^4*t^8.93)/g2^6 + 2*g2^6*t^8.93 + (g2^12*t^8.93)/g1^2 + (g2^18*t^8.93)/g1^4 + t^8.05/(g2^4*y^2) - t^3.51/(g2*y) - t^4.53/(g2^3*y) - t^6.07/(g1^2*y) - (g1^2*t^6.07)/(g2^12*y) - t^6.58/(g2^7*y) - (g2^4*t^6.95)/y - (g1^2*t^7.09)/(g2^14*y) - t^7.09/(g1^2*g2^2*y) - (g2^3*t^7.47)/y - t^7.6/(g2^9*y) - (g2^2*t^7.98)/y + t^8.11/(g2^10*y) - (g2*t^8.49)/y - (g1^4*t^8.62)/(g2^23*y) + (g1^2*t^8.62)/(g2^17*y) - t^8.62/(g2^11*y) + t^8.62/(g1^2*g2^5*y) - (g2*t^8.62)/(g1^4*y) - (t^3.51*y)/g2 - (t^4.53*y)/g2^3 - (t^6.07*y)/g1^2 - (g1^2*t^6.07*y)/g2^12 - (t^6.58*y)/g2^7 - g2^4*t^6.95*y - (g1^2*t^7.09*y)/g2^14 - (t^7.09*y)/(g1^2*g2^2) - g2^3*t^7.47*y - (t^7.6*y)/g2^9 - g2^2*t^7.98*y + (t^8.11*y)/g2^10 - g2*t^8.49*y - (g1^4*t^8.62*y)/g2^23 + (g1^2*t^8.62*y)/g2^17 - (t^8.62*y)/g2^11 + (t^8.62*y)/(g1^2*g2^5) - (g2*t^8.62*y)/g1^4 + (t^8.05*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8745 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_2^2$ + $ M_3^2$ | 1.1381 | 1.2464 | 0.9131 | [X:[1.6336], M:[1.2672, 1.0992, 1.0, 0.832], q:[0.4084, 0.4924], qb:[], phi:[0.1832]] | t^2.5 + t^3. + t^3.25 + t^3.3 + 2*t^3.8 + t^4.1 + t^4.35 + t^4.6 + t^4.9 + t^4.99 + t^5.5 + t^5.79 - t^6. - t^3.55/y - t^4.65/y - t^3.55*y - t^4.65*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8419 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1^2$ | 1.1413 | 1.2432 | 0.9181 | [X:[1.6469], M:[1.2937, 1.0594, 0.8422], q:[0.4906, 0.4499], qb:[], phi:[0.1766]] | t^2.53 + t^3.18 + t^3.23 + t^3.35 + 2*t^3.88 + t^4.29 + t^4.41 + t^4.53 + t^4.94 + t^5.05 + t^5.7 + t^5.76 - 2*t^6. - t^3.53/y - t^4.59/y - t^3.53*y - t^4.59*y | detail |