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 |
|---|---|---|---|---|---|---|---|---|---|
| 2762 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6851 | 0.8931 | 0.7671 | [X:[], M:[1.1561, 0.672, 0.672, 0.828, 0.8439], q:[0.75, 0.422], qb:[0.422, 0.4061], phi:[0.5]] | [X:[], M:[[2], [-1], [-1], [1], [-2]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_3M_4$, $ M_2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_3M_5$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_4q_1q_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2^2\tilde{q}_2$ | -1 | 2*t^2.02 + 3*t^2.48 + t^2.53 + t^3. + t^3.47 + t^3.52 + t^3.94 + 6*t^4.03 + 6*t^4.5 + 2*t^4.55 + 6*t^4.97 + 5*t^5.02 + t^5.06 + 5*t^5.48 + 3*t^5.53 + 3*t^5.95 - t^6. + 9*t^6.05 + 3*t^6.42 + 15*t^6.52 + 6*t^6.56 + t^6.94 + 9*t^6.98 + 9*t^7.03 + 2*t^7.08 + t^7.4 + 7*t^7.45 + 10*t^7.5 + 7*t^7.55 + t^7.6 + t^7.87 + 10*t^7.97 - 3*t^8.02 + 18*t^8.06 + 6*t^8.44 - 8*t^8.48 + 17*t^8.53 + 9*t^8.58 + 6*t^8.9 - t^4.5/y - (2*t^6.52)/y - t^6.98/y + t^7.03/y + (6*t^7.5)/y + (2*t^7.55)/y + (3*t^7.97)/y + (6*t^8.02)/y + (7*t^8.48)/y + (5*t^8.95)/y - t^4.5*y - 2*t^6.52*y - t^6.98*y + t^7.03*y + 6*t^7.5*y + 2*t^7.55*y + 3*t^7.97*y + 6*t^8.02*y + 7*t^8.48*y + 5*t^8.95*y | (2*t^2.02)/g1 + 3*g1*t^2.48 + t^2.53/g1^2 + t^3. + g1^2*t^3.47 + t^3.52/g1 + g1^4*t^3.94 + (6*t^4.03)/g1^2 + 6*t^4.5 + (2*t^4.55)/g1^3 + 6*g1^2*t^4.97 + (5*t^5.02)/g1 + t^5.06/g1^4 + 5*g1*t^5.48 + (3*t^5.53)/g1^2 + 3*g1^3*t^5.95 - t^6. + (9*t^6.05)/g1^3 + 3*g1^5*t^6.42 + (15*t^6.52)/g1 + (6*t^6.56)/g1^4 + g1^4*t^6.94 + 9*g1*t^6.98 + (9*t^7.03)/g1^2 + (2*t^7.08)/g1^5 + g1^6*t^7.4 + 7*g1^3*t^7.45 + 10*t^7.5 + (7*t^7.55)/g1^3 + t^7.6/g1^6 + g1^8*t^7.87 + 10*g1^2*t^7.97 - (3*t^8.02)/g1 + (18*t^8.06)/g1^4 + 6*g1^4*t^8.44 - 8*g1*t^8.48 + (17*t^8.53)/g1^2 + (9*t^8.58)/g1^5 + 6*g1^6*t^8.9 - t^4.5/y - (2*t^6.52)/(g1*y) - (g1*t^6.98)/y + t^7.03/(g1^2*y) + (6*t^7.5)/y + (2*t^7.55)/(g1^3*y) + (3*g1^2*t^7.97)/y + (6*t^8.02)/(g1*y) + (7*g1*t^8.48)/y + (5*g1^3*t^8.95)/y - t^4.5*y - (2*t^6.52*y)/g1 - g1*t^6.98*y + (t^7.03*y)/g1^2 + 6*t^7.5*y + (2*t^7.55*y)/g1^3 + 3*g1^2*t^7.97*y + (6*t^8.02*y)/g1 + 7*g1*t^8.48*y + 5*g1^3*t^8.95*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3281 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6999 | 0.9187 | 0.7619 | [X:[], M:[1.146, 0.677, 0.677, 0.823, 0.854, 0.823], q:[0.75, 0.427], qb:[0.427, 0.396], phi:[0.5]] | 2*t^2.03 + 4*t^2.47 + t^2.56 + t^3. + t^3.44 + t^3.88 + 6*t^4.06 + 8*t^4.5 + 2*t^4.59 + 10*t^4.94 + 6*t^5.03 + t^5.12 + 6*t^5.47 + t^5.56 + 4*t^5.91 - 4*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1758 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6724 | 0.8714 | 0.7716 | [X:[], M:[1.1326, 0.6837, 0.6837, 0.8163], q:[0.75, 0.4337], qb:[0.4337, 0.3826], phi:[0.5]] | 2*t^2.05 + 3*t^2.45 + t^3. + 2*t^3.4 + t^3.55 + t^3.8 + 6*t^4.1 + 6*t^4.5 + 6*t^4.9 + 2*t^5.05 + 7*t^5.45 + 2*t^5.6 + 6*t^5.85 - 2*t^6. - t^4.5/y - t^4.5*y | detail |