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 |
|---|---|---|---|---|---|---|---|---|---|
| 2948 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6515 | 0.8136 | 0.8007 | [X:[1.5673], M:[0.4327, 1.1891, 0.7836, 0.8655, 0.8382, 0.7563], q:[0.7973, 0.77], qb:[0.4464, 0.3645], phi:[0.4055]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-14], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_4$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_4M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_2M_6$, $ \phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.27 + t^2.35 + t^2.43 + t^2.51 + t^2.6 + t^3.4 + t^3.57 + t^3.65 + t^3.89 + t^4.54 + 2*t^4.62 + 3*t^4.7 + t^4.78 + 4*t^4.87 + 2*t^4.95 + t^5.03 + t^5.11 + t^5.19 + t^5.67 + 3*t^5.84 + 2*t^5.92 - t^6. + t^6.08 + 2*t^6.16 + t^6.33 + t^6.41 + t^6.49 + 2*t^6.81 + 2*t^6.89 + 2*t^6.97 + 3*t^7.05 + 4*t^7.13 + 3*t^7.22 + 4*t^7.3 + 3*t^7.38 + 3*t^7.46 + 3*t^7.54 + t^7.63 + t^7.71 + 2*t^7.79 + t^7.94 + t^8.02 + 3*t^8.11 + t^8.19 + t^8.27 - t^8.35 - t^8.6 + 3*t^8.76 + t^8.84 + t^8.92 - t^4.22/y - t^6.49/y - t^6.57/y - t^6.73/y - t^6.81/y + (2*t^7.62)/y + (2*t^7.7)/y + (2*t^7.78)/y + (3*t^7.87)/y + (3*t^7.95)/y + t^8.03/y + t^8.11/y + t^8.67/y + t^8.84/y + (2*t^8.92)/y - t^4.22*y - t^6.49*y - t^6.57*y - t^6.73*y - t^6.81*y + 2*t^7.62*y + 2*t^7.7*y + 2*t^7.78*y + 3*t^7.87*y + 3*t^7.95*y + t^8.03*y + t^8.11*y + t^8.67*y + t^8.84*y + 2*t^8.92*y | g1^16*t^2.27 + g1^6*t^2.35 + t^2.43/g1^4 + t^2.51/g1^14 + t^2.6/g1^24 + g1^24*t^3.4 + g1^4*t^3.57 + t^3.65/g1^6 + t^3.89/g1^36 + g1^32*t^4.54 + 2*g1^22*t^4.62 + 3*g1^12*t^4.7 + g1^2*t^4.78 + (4*t^4.87)/g1^8 + (2*t^4.95)/g1^18 + t^5.03/g1^28 + t^5.11/g1^38 + t^5.19/g1^48 + g1^40*t^5.67 + 3*g1^20*t^5.84 + 2*g1^10*t^5.92 - t^6. + t^6.08/g1^10 + (2*t^6.16)/g1^20 + t^6.33/g1^40 + t^6.41/g1^50 + t^6.49/g1^60 + 2*g1^48*t^6.81 + 2*g1^38*t^6.89 + 2*g1^28*t^6.97 + 3*g1^18*t^7.05 + 4*g1^8*t^7.13 + (3*t^7.22)/g1^2 + (4*t^7.3)/g1^12 + (3*t^7.38)/g1^22 + (3*t^7.46)/g1^32 + (3*t^7.54)/g1^42 + t^7.63/g1^52 + t^7.71/g1^62 + (2*t^7.79)/g1^72 + g1^56*t^7.94 + g1^46*t^8.02 + 3*g1^36*t^8.11 + g1^26*t^8.19 + g1^16*t^8.27 - g1^6*t^8.35 - t^8.6/g1^24 + (3*t^8.76)/g1^44 + t^8.84/g1^54 + t^8.92/g1^64 - t^4.22/(g1^2*y) - (g1^14*t^6.49)/y - (g1^4*t^6.57)/y - t^6.73/(g1^16*y) - t^6.81/(g1^26*y) + (2*g1^22*t^7.62)/y + (2*g1^12*t^7.7)/y + (2*g1^2*t^7.78)/y + (3*t^7.87)/(g1^8*y) + (3*t^7.95)/(g1^18*y) + t^8.03/(g1^28*y) + t^8.11/(g1^38*y) + (g1^40*t^8.67)/y + (g1^20*t^8.84)/y + (2*g1^10*t^8.92)/y - (t^4.22*y)/g1^2 - g1^14*t^6.49*y - g1^4*t^6.57*y - (t^6.73*y)/g1^16 - (t^6.81*y)/g1^26 + 2*g1^22*t^7.62*y + 2*g1^12*t^7.7*y + 2*g1^2*t^7.78*y + (3*t^7.87*y)/g1^8 + (3*t^7.95*y)/g1^18 + (t^8.03*y)/g1^28 + (t^8.11*y)/g1^38 + g1^40*t^8.67*y + g1^20*t^8.84*y + 2*g1^10*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 3533 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_4M_7$ | 0.641 | 0.797 | 0.8043 | [X:[1.548], M:[0.452, 1.1827, 0.774, 0.904, 0.8607, 0.7307, 1.096], q:[0.7957, 0.7523], qb:[0.4737, 0.3437], phi:[0.4087]] | t^2.19 + t^2.32 + t^2.45 + t^2.58 + 2*t^3.29 + t^3.55 + t^3.68 + t^4.07 + t^4.38 + 2*t^4.51 + 3*t^4.64 + t^4.77 + 3*t^4.9 + t^5.03 + 2*t^5.48 + t^5.61 + 4*t^5.74 + 3*t^5.87 - 2*t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1915 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5q_1\tilde{q}_2$ | 0.6329 | 0.7805 | 0.8109 | [X:[1.5742], M:[0.4258, 1.1914, 0.7871, 0.8516, 0.8301], q:[0.7978, 0.7763], qb:[0.4366, 0.372], phi:[0.4043]] | t^2.36 + t^2.43 + t^2.49 + t^2.55 + t^3.45 + t^3.57 + t^3.64 + t^3.7 + t^3.83 + t^4.66 + 2*t^4.72 + 3*t^4.85 + 2*t^4.92 + t^4.98 + t^5.05 + t^5.11 + 2*t^5.87 + t^5.94 - t^6. - t^4.21/y - t^4.21*y | detail |