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 |
|---|---|---|---|---|---|---|---|---|---|
| 2215 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3M_7$ | 0.6691 | 0.8361 | 0.8003 | [X:[], M:[1.1045, 0.7165, 0.8955, 0.8955, 0.8358, 0.7165, 1.1045], q:[0.806, 0.5372], qb:[0.3582, 0.7463], phi:[0.3881]] | [X:[], M:[[16], [14], [-16], [-16], [-6], [14], [16]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_1$, $ M_7$, $ q_1q_2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ \phi_1q_2^2$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_5M_6$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_1M_2$, $ M_1M_6$, $ M_2M_7$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_5M_7$ | $M_4M_7$ | -2 | 2*t^2.15 + t^2.33 + t^2.51 + t^2.69 + 2*t^3.31 + t^4.03 + 3*t^4.3 + t^4.39 + 3*t^4.48 + 4*t^4.66 + 2*t^4.84 + 3*t^5.01 + t^5.19 + 3*t^5.46 + 3*t^5.64 + t^5.82 - 2*t^6. + t^6.18 + 4*t^6.45 + t^6.54 + 6*t^6.63 + 2*t^6.72 + 7*t^6.81 + t^6.89 + 4*t^6.99 + t^7.07 + 4*t^7.16 + 4*t^7.34 + 2*t^7.52 + 4*t^7.61 + t^7.7 + 6*t^7.79 - t^7.88 + 5*t^7.97 - 5*t^8.15 - t^8.33 + t^8.42 - 4*t^8.51 + 5*t^8.6 - 2*t^8.69 + 9*t^8.78 + 13*t^8.96 - t^4.16/y - (2*t^6.31)/y - t^6.49/y - t^6.67/y + t^7.3/y + (2*t^7.48)/y + (3*t^7.66)/y + (4*t^7.84)/y + (3*t^8.01)/y + t^8.19/y + t^8.46/y - t^8.82/y - t^4.16*y - 2*t^6.31*y - t^6.49*y - t^6.67*y + t^7.3*y + 2*t^7.48*y + 3*t^7.66*y + 4*t^7.84*y + 3*t^8.01*y + t^8.19*y + t^8.46*y - t^8.82*y | 2*g1^14*t^2.15 + g1^4*t^2.33 + t^2.51/g1^6 + t^2.69/g1^16 + 2*g1^16*t^3.31 + t^4.03/g1^24 + 3*g1^28*t^4.3 + t^4.39/g1^44 + 3*g1^18*t^4.48 + 4*g1^8*t^4.66 + (2*t^4.84)/g1^2 + (3*t^5.01)/g1^12 + t^5.19/g1^22 + 3*g1^30*t^5.46 + 3*g1^20*t^5.64 + g1^10*t^5.82 - 2*t^6. + t^6.18/g1^10 + 4*g1^42*t^6.45 + t^6.54/g1^30 + 6*g1^32*t^6.63 + (2*t^6.72)/g1^40 + 7*g1^22*t^6.81 + t^6.89/g1^50 + 4*g1^12*t^6.99 + t^7.07/g1^60 + 4*g1^2*t^7.16 + (4*t^7.34)/g1^8 + (2*t^7.52)/g1^18 + 4*g1^44*t^7.61 + t^7.7/g1^28 + 6*g1^34*t^7.79 - t^7.88/g1^38 + 5*g1^24*t^7.97 - 5*g1^14*t^8.15 - g1^4*t^8.33 + t^8.42/g1^68 - (4*t^8.51)/g1^6 + 5*g1^56*t^8.6 - (2*t^8.69)/g1^16 + t^8.78/g1^88 + 8*g1^46*t^8.78 + 13*g1^36*t^8.96 - (g1^2*t^4.16)/y - (2*g1^16*t^6.31)/y - (g1^6*t^6.49)/y - t^6.67/(g1^4*y) + (g1^28*t^7.3)/y + (2*g1^18*t^7.48)/y + (3*g1^8*t^7.66)/y + (4*t^7.84)/(g1^2*y) + (3*t^8.01)/(g1^12*y) + t^8.19/(g1^22*y) + (g1^30*t^8.46)/y - (g1^10*t^8.82)/y - g1^2*t^4.16*y - 2*g1^16*t^6.31*y - g1^6*t^6.49*y - (t^6.67*y)/g1^4 + g1^28*t^7.3*y + 2*g1^18*t^7.48*y + 3*g1^8*t^7.66*y + (4*t^7.84*y)/g1^2 + (3*t^8.01*y)/g1^12 + (t^8.19*y)/g1^22 + g1^30*t^8.46*y - g1^10*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4217 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3M_7$ + $ M_8\phi_1^2$ | 0.6513 | 0.8042 | 0.8099 | [X:[], M:[1.1073, 0.7189, 0.8927, 0.8927, 0.8348, 0.7189, 1.1073, 1.2232], q:[0.8058, 0.5333], qb:[0.3594, 0.7478], phi:[0.3884]] | 2*t^2.16 + t^2.5 + t^2.68 + 2*t^3.32 + t^3.67 + t^4.02 + 3*t^4.31 + t^4.37 + t^4.49 + 3*t^4.66 + t^4.83 + 2*t^5.01 + t^5.18 + 3*t^5.48 + t^5.65 + 3*t^5.83 - 2*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1190 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6793 | 0.8531 | 0.7963 | [X:[], M:[1.1215, 0.7313, 0.8785, 0.8785, 0.8294, 0.7313], q:[0.8049, 0.5128], qb:[0.3657, 0.7558], phi:[0.3902]] | 2*t^2.19 + t^2.34 + t^2.49 + 2*t^2.64 + t^3.36 + t^3.95 + t^4.25 + 3*t^4.39 + 3*t^4.54 + 4*t^4.68 + 4*t^4.83 + 4*t^4.98 + 2*t^5.12 + 2*t^5.27 + t^5.56 + 2*t^5.71 - 2*t^6. - t^4.17/y - t^4.17*y | detail |