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 |
|---|---|---|---|---|---|---|---|---|---|
| 2156 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.7079 | 0.8954 | 0.7906 | [X:[], M:[1.0897, 1.0897, 1.0067, 0.7309, 0.9103, 0.7176, 0.7309], q:[0.7724, 0.4136], qb:[0.4967, 0.4967], phi:[0.4552]] | [X:[], M:[[4], [4], [-22], [-12], [-4], [32], [-12]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_4M_6$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_4M_5$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_6$, $ M_3M_4$, $ M_3M_7$, $ M_1M_6$, $ M_1M_4$, $ M_5^2$, $ M_1M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_6q_1q_2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_4q_1q_2$, $ M_7q_1q_2$ | $M_1M_5$ | -3 | t^2.15 + 2*t^2.19 + 2*t^2.73 + t^3.02 + t^3.27 + t^3.56 + 2*t^4.1 + t^4.31 + 5*t^4.35 + 3*t^4.39 + 2*t^4.88 + 4*t^4.92 + t^5.17 + 2*t^5.21 + t^5.42 + 5*t^5.46 + t^5.71 + 2*t^5.75 - 3*t^6. + t^6.04 + 6*t^6.29 + t^6.46 + 5*t^6.5 + 7*t^6.54 + 5*t^6.58 + 2*t^6.83 + 2*t^7.04 + 7*t^7.08 + 6*t^7.12 + t^7.33 + t^7.37 + 3*t^7.41 + t^7.57 + 3*t^7.61 + 9*t^7.65 + t^7.86 + t^7.9 + 3*t^7.94 - 5*t^8.15 - 2*t^8.19 + 2*t^8.23 + 4*t^8.44 + 9*t^8.48 + t^8.61 + 5*t^8.65 + 12*t^8.69 + 3*t^8.73 + 7*t^8.77 - 2*t^8.98 - t^4.37/y - t^6.52/y - (2*t^6.56)/y + (3*t^7.35)/y + (2*t^7.88)/y + (4*t^7.92)/y + (3*t^8.17)/y + (3*t^8.21)/y + t^8.42/y + (3*t^8.46)/y - t^8.67/y - t^8.71/y + t^8.75/y - t^4.37*y - t^6.52*y - 2*t^6.56*y + 3*t^7.35*y + 2*t^7.88*y + 4*t^7.92*y + 3*t^8.17*y + 3*t^8.21*y + t^8.42*y + 3*t^8.46*y - t^8.67*y - t^8.71*y + t^8.75*y | g1^32*t^2.15 + (2*t^2.19)/g1^12 + (2*t^2.73)/g1^4 + t^3.02/g1^22 + g1^4*t^3.27 + t^3.56/g1^14 + (2*t^4.1)/g1^6 + g1^64*t^4.31 + 5*g1^20*t^4.35 + (3*t^4.39)/g1^24 + 2*g1^28*t^4.88 + (4*t^4.92)/g1^16 + g1^10*t^5.17 + (2*t^5.21)/g1^34 + g1^36*t^5.42 + (5*t^5.46)/g1^8 + g1^18*t^5.71 + (2*t^5.75)/g1^26 - 3*t^6. + t^6.04/g1^44 + (6*t^6.29)/g1^18 + g1^96*t^6.46 + 5*g1^52*t^6.5 + 7*g1^8*t^6.54 + (5*t^6.58)/g1^36 + (2*t^6.83)/g1^10 + 2*g1^60*t^7.04 + 7*g1^16*t^7.08 + (6*t^7.12)/g1^28 + g1^42*t^7.33 + t^7.37/g1^2 + (3*t^7.41)/g1^46 + g1^68*t^7.57 + 3*g1^24*t^7.61 + (9*t^7.65)/g1^20 + g1^50*t^7.86 + g1^6*t^7.9 + (3*t^7.94)/g1^38 - 5*g1^32*t^8.15 - (2*t^8.19)/g1^12 + (2*t^8.23)/g1^56 + 4*g1^14*t^8.44 + (9*t^8.48)/g1^30 + g1^128*t^8.61 + 5*g1^84*t^8.65 + 12*g1^40*t^8.69 + (3*t^8.73)/g1^4 + (7*t^8.77)/g1^48 - 2*g1^22*t^8.98 - t^4.37/(g1^2*y) - (g1^30*t^6.52)/y - (2*t^6.56)/(g1^14*y) + (3*g1^20*t^7.35)/y + (2*g1^28*t^7.88)/y + (4*t^7.92)/(g1^16*y) + (3*g1^10*t^8.17)/y + (3*t^8.21)/(g1^34*y) + (g1^36*t^8.42)/y + (3*t^8.46)/(g1^8*y) - (g1^62*t^8.67)/y - (g1^18*t^8.71)/y + t^8.75/(g1^26*y) - (t^4.37*y)/g1^2 - g1^30*t^6.52*y - (2*t^6.56*y)/g1^14 + 3*g1^20*t^7.35*y + 2*g1^28*t^7.88*y + (4*t^7.92*y)/g1^16 + 3*g1^10*t^8.17*y + (3*t^8.21*y)/g1^34 + g1^36*t^8.42*y + (3*t^8.46*y)/g1^8 - g1^62*t^8.67*y - g1^18*t^8.71*y + (t^8.75*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4130 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1^2$ | 0.6998 | 0.8817 | 0.7936 | [X:[], M:[1.0888, 1.0888, 1.0118, 0.7337, 0.9112, 0.7101, 0.7337, 1.0888], q:[0.7722, 0.4172], qb:[0.4941, 0.4941], phi:[0.4556]] | t^2.13 + 2*t^2.2 + t^2.73 + t^3.04 + 2*t^3.27 + t^3.57 + 2*t^4.1 + t^4.26 + 5*t^4.33 + 3*t^4.4 + t^4.86 + 2*t^4.93 + t^5.17 + 2*t^5.24 + 2*t^5.4 + 5*t^5.47 + t^5.7 + t^5.77 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1132 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_1\phi_1^2$ + $ M_6\phi_1q_2^2$ | 0.6883 | 0.8591 | 0.8011 | [X:[], M:[1.0886, 1.0886, 1.0127, 0.7342, 0.9114, 0.7087], q:[0.7721, 0.4178], qb:[0.4936, 0.4936], phi:[0.4557]] | t^2.13 + t^2.2 + 2*t^2.73 + t^3.04 + t^3.27 + t^3.57 + t^3.8 + 2*t^4.1 + t^4.25 + 4*t^4.33 + t^4.41 + 2*t^4.86 + 2*t^4.94 + t^5.16 + t^5.24 + t^5.39 + 4*t^5.47 + t^5.7 + t^5.77 + t^5.92 - 2*t^6. - t^4.37/y - t^4.37*y | detail |