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 |
|---|---|---|---|---|---|---|---|---|---|
| 3442 | 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$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_4M_7$ | 0.6881 | 0.8804 | 0.7816 | [X:[], M:[0.7692, 0.8461, 0.6924, 1.1539, 0.7692, 0.7692, 0.8461], q:[0.7692, 0.4615], qb:[0.3846, 0.8461], phi:[0.3846]] | [X:[], M:[[-2], [3], [-7], [-3], [-2], [-2], [3]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_7$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ M_3^2$, $ M_1M_3$, $ M_3M_5$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1^2$, $ \phi_1q_1^2$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | $M_3\phi_1q_2^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$ | -2 | t^2.08 + 4*t^2.31 + 2*t^2.54 + t^3.46 + t^3.92 + t^4.15 + 4*t^4.38 + 12*t^4.62 + 9*t^4.85 + 3*t^5.08 + t^5.54 + 2*t^5.77 - 2*t^6. + 3*t^6.23 + 6*t^6.46 + 12*t^6.69 + 28*t^6.92 + 21*t^7.15 + 8*t^7.38 + 3*t^7.62 + 3*t^7.85 - 13*t^8.31 - 3*t^8.54 + 15*t^8.77 - t^4.15/y - t^6.23/y - (4*t^6.46)/y - t^6.69/y + (4*t^7.38)/y + (9*t^7.62)/y + (12*t^7.85)/y + (2*t^8.08)/y - t^8.31/y - (3*t^8.54)/y - (7*t^8.77)/y - t^4.15*y - t^6.23*y - 4*t^6.46*y - t^6.69*y + 4*t^7.38*y + 9*t^7.62*y + 12*t^7.85*y + 2*t^8.08*y - t^8.31*y - 3*t^8.54*y - 7*t^8.77*y | t^2.08/g1^7 + (4*t^2.31)/g1^2 + 2*g1^3*t^2.54 + t^3.46/g1^3 + g1^7*t^3.92 + t^4.15/g1^14 + (4*t^4.38)/g1^9 + (12*t^4.62)/g1^4 + 9*g1*t^4.85 + 3*g1^6*t^5.08 + t^5.54/g1^10 + (2*t^5.77)/g1^5 - 2*t^6. + t^6.23/g1^21 + 2*g1^5*t^6.23 + (4*t^6.46)/g1^16 + 2*g1^10*t^6.46 + (12*t^6.69)/g1^11 + (28*t^6.92)/g1^6 + (21*t^7.15)/g1 + 8*g1^4*t^7.38 + t^7.62/g1^17 + 2*g1^9*t^7.62 + (2*t^7.85)/g1^12 + g1^14*t^7.85 + t^8.31/g1^28 - (14*t^8.31)/g1^2 + (4*t^8.54)/g1^23 - 7*g1^3*t^8.54 + (12*t^8.77)/g1^18 + 3*g1^8*t^8.77 - t^4.15/(g1*y) - t^6.23/(g1^8*y) - (4*t^6.46)/(g1^3*y) - (g1^2*t^6.69)/y + (4*t^7.38)/(g1^9*y) + (9*t^7.62)/(g1^4*y) + (12*g1*t^7.85)/y + (2*g1^6*t^8.08)/y - t^8.31/(g1^15*y) - (3*t^8.54)/(g1^10*y) - (7*t^8.77)/(g1^5*y) - (t^4.15*y)/g1 - (t^6.23*y)/g1^8 - (4*t^6.46*y)/g1^3 - g1^2*t^6.69*y + (4*t^7.38*y)/g1^9 + (9*t^7.62*y)/g1^4 + 12*g1*t^7.85*y + 2*g1^6*t^8.08*y - (t^8.31*y)/g1^15 - (3*t^8.54*y)/g1^10 - (7*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 5131 | $M_1q_1q_2$ + $ \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$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ | 0.7088 | 0.9211 | 0.7696 | [X:[], M:[0.7673, 0.849, 0.6856, 1.151, 0.7673, 0.7673, 0.849, 0.6856], q:[0.7673, 0.4654], qb:[0.3837, 0.849], phi:[0.3837]] | 2*t^2.06 + 4*t^2.3 + 2*t^2.55 + t^3.45 + 3*t^4.11 + 8*t^4.36 + 14*t^4.6 + 9*t^4.85 + 3*t^5.09 + 2*t^5.51 + 2*t^5.75 - 3*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2878 | 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$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6751 | 0.8593 | 0.7856 | [X:[], M:[0.7632, 0.8553, 0.671, 1.1447, 0.7632, 0.7632], q:[0.7632, 0.4737], qb:[0.3816, 0.8553], phi:[0.3816]] | t^2.01 + 4*t^2.29 + t^2.57 + 2*t^3.43 + t^3.99 + t^4.03 + 4*t^4.3 + 11*t^4.58 + 5*t^4.86 + t^5.13 + 2*t^5.45 + 6*t^5.72 - 2*t^6. - t^4.14/y - t^4.14*y | detail |