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 |
|---|---|---|---|---|---|---|---|---|---|
| 2774 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6591 | 0.8331 | 0.7912 | [X:[], M:[0.7667, 0.85, 0.6833, 1.15, 0.6833], q:[0.7667, 0.4667], qb:[0.3833, 0.85], phi:[0.3833]] | [X:[], M:[[-2], [3], [-7], [-3], [-7]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_1M_3$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_2M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ M_2\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ M_4M_5$, $ M_3\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_2\phi_1\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 1 | 2*t^2.05 + 2*t^2.3 + t^2.55 + 2*t^3.45 + 2*t^3.7 + 3*t^4.1 + 4*t^4.35 + 5*t^4.6 + 3*t^4.85 + t^5.1 + 4*t^5.5 + 6*t^5.75 + t^6. + 4*t^6.15 + 6*t^6.4 + 9*t^6.65 + 11*t^6.9 + 5*t^7.15 - t^7.4 + 6*t^7.55 - t^7.65 + 10*t^7.8 + 4*t^8.05 + 5*t^8.2 - t^8.3 + 8*t^8.45 - 5*t^8.55 + 13*t^8.7 - 2*t^8.8 + 19*t^8.95 - t^4.15/y - (2*t^6.2)/y - (2*t^6.45)/y + t^7.1/y + (4*t^7.35)/y + (3*t^7.6)/y + (4*t^7.85)/y + (2*t^8.1)/y - (3*t^8.25)/y + (5*t^8.75)/y - t^4.15*y - 2*t^6.2*y - 2*t^6.45*y + t^7.1*y + 4*t^7.35*y + 3*t^7.6*y + 4*t^7.85*y + 2*t^8.1*y - 3*t^8.25*y + 5*t^8.75*y | (2*t^2.05)/g1^7 + (2*t^2.3)/g1^2 + g1^3*t^2.55 + (2*t^3.45)/g1^3 + 2*g1^2*t^3.7 + (3*t^4.1)/g1^14 + (4*t^4.35)/g1^9 + (5*t^4.6)/g1^4 + 3*g1*t^4.85 + g1^6*t^5.1 + (4*t^5.5)/g1^10 + (6*t^5.75)/g1^5 + t^6. + (4*t^6.15)/g1^21 + (6*t^6.4)/g1^16 + (9*t^6.65)/g1^11 + (11*t^6.9)/g1^6 + (5*t^7.15)/g1 - g1^4*t^7.4 + (6*t^7.55)/g1^17 - g1^9*t^7.65 + (10*t^7.8)/g1^12 + (4*t^8.05)/g1^7 + (5*t^8.2)/g1^28 - t^8.3/g1^2 + (8*t^8.45)/g1^23 - 5*g1^3*t^8.55 + (13*t^8.7)/g1^18 - 2*g1^8*t^8.8 + (19*t^8.95)/g1^13 - t^4.15/(g1*y) - (2*t^6.2)/(g1^8*y) - (2*t^6.45)/(g1^3*y) + t^7.1/(g1^14*y) + (4*t^7.35)/(g1^9*y) + (3*t^7.6)/(g1^4*y) + (4*g1*t^7.85)/y + (2*g1^6*t^8.1)/y - (3*t^8.25)/(g1^15*y) + (5*t^8.75)/(g1^5*y) - (t^4.15*y)/g1 - (2*t^6.2*y)/g1^8 - (2*t^6.45*y)/g1^3 + (t^7.1*y)/g1^14 + (4*t^7.35*y)/g1^9 + (3*t^7.6*y)/g1^4 + 4*g1*t^7.85*y + 2*g1^6*t^8.1*y - (3*t^8.25*y)/g1^15 + (5*t^8.75*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 3288 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_4M_6$ | 0.6725 | 0.8547 | 0.7868 | [X:[], M:[0.7713, 0.8431, 0.6995, 1.1569, 0.6995, 0.8431], q:[0.7713, 0.4574], qb:[0.3856, 0.8431], phi:[0.3856]] | 2*t^2.1 + 2*t^2.31 + 2*t^2.53 + t^3.47 + 2*t^3.69 + 3*t^4.2 + 4*t^4.41 + 7*t^4.63 + 5*t^4.84 + 3*t^5.06 + 2*t^5.57 + 4*t^5.78 + t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1773 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_1\tilde{q}_2$ | 0.6384 | 0.7923 | 0.8057 | [X:[], M:[0.7685, 0.8473, 0.6897, 1.1527], q:[0.7685, 0.463], qb:[0.3842, 0.8473], phi:[0.3842]] | t^2.07 + 2*t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.69 + t^3.93 + t^4.14 + 2*t^4.37 + 4*t^4.61 + 3*t^4.85 + t^5.08 + 2*t^5.53 + 4*t^5.76 + 2*t^6. - t^4.15/y - t^4.15*y | detail |