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 |
|---|---|---|---|---|---|---|---|---|---|
| 2351 | 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_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_5X_1$ + $ M_1M_7$ | 0.641 | 0.7974 | 0.8038 | [X:[1.4972], M:[0.8587, 0.7853, 0.9322, 1.2147, 0.5028, 0.7119, 1.1413], q:[0.7853, 0.3559], qb:[0.4294, 0.7119], phi:[0.4294]] | [X:[[7]], M:[[-4], [1], [-9], [-1], [-7], [6], [4]], q:[[1], [3]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ \phi_1^2$, $ M_3$, $ M_7$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_2^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_2\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_6M_7$, $ M_6\phi_1q_2^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_4M_6$, $ M_2M_7$, $ M_2\phi_1q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$ | $M_7\phi_1^2$, $ \phi_1^3q_2^2$, $ M_2\phi_1q_2\tilde{q}_1$ | 1 | t^2.14 + t^2.36 + t^2.58 + t^2.8 + 3*t^3.42 + 2*t^3.64 + t^4.27 + 3*t^4.49 + 3*t^4.71 + t^4.93 + t^5.15 + t^5.37 + 4*t^5.56 + t^5.59 + 4*t^5.78 + t^6. + t^6.22 + t^6.41 + t^6.44 + 3*t^6.63 + 7*t^6.85 + 4*t^7.07 + t^7.29 + t^7.51 + 4*t^7.7 + 2*t^7.73 + 8*t^7.92 + t^7.95 + 5*t^8.14 + t^8.17 - 3*t^8.36 + t^8.39 + t^8.54 - 2*t^8.58 + 3*t^8.76 - t^8.8 + 10*t^8.98 - t^4.29/y - t^6.42/y - t^6.86/y - t^7.08/y + (2*t^7.49)/y + (2*t^7.71)/y + (2*t^7.93)/y + (2*t^8.15)/y + t^8.37/y + (2*t^8.56)/y + (5*t^8.78)/y - t^4.29*y - t^6.42*y - t^6.86*y - t^7.08*y + 2*t^7.49*y + 2*t^7.71*y + 2*t^7.93*y + 2*t^8.15*y + t^8.37*y + 2*t^8.56*y + 5*t^8.78*y | g1^6*t^2.14 + g1*t^2.36 + t^2.58/g1^4 + t^2.8/g1^9 + 3*g1^4*t^3.42 + (2*t^3.64)/g1 + g1^12*t^4.27 + 3*g1^7*t^4.49 + 3*g1^2*t^4.71 + t^4.93/g1^3 + t^5.15/g1^8 + t^5.37/g1^13 + 4*g1^10*t^5.56 + t^5.59/g1^18 + 4*g1^5*t^5.78 + t^6. + t^6.22/g1^5 + g1^18*t^6.41 + t^6.44/g1^10 + 3*g1^13*t^6.63 + 7*g1^8*t^6.85 + 4*g1^3*t^7.07 + t^7.29/g1^2 + t^7.51/g1^7 + 4*g1^16*t^7.7 + (2*t^7.73)/g1^12 + 8*g1^11*t^7.92 + t^7.95/g1^17 + 5*g1^6*t^8.14 + t^8.17/g1^22 - 3*g1*t^8.36 + t^8.39/g1^27 + g1^24*t^8.54 - (2*t^8.58)/g1^4 + 3*g1^19*t^8.76 - t^8.8/g1^9 + 10*g1^14*t^8.98 - t^4.29/(g1^2*y) - (g1^4*t^6.42)/y - t^6.86/(g1^6*y) - t^7.08/(g1^11*y) + (2*g1^7*t^7.49)/y + (2*g1^2*t^7.71)/y + (2*t^7.93)/(g1^3*y) + (2*t^8.15)/(g1^8*y) + t^8.37/(g1^13*y) + (2*g1^10*t^8.56)/y + (5*g1^5*t^8.78)/y - (t^4.29*y)/g1^2 - g1^4*t^6.42*y - (t^6.86*y)/g1^6 - (t^7.08*y)/g1^11 + 2*g1^7*t^7.49*y + 2*g1^2*t^7.71*y + (2*t^7.93*y)/g1^3 + (2*t^8.15*y)/g1^8 + (t^8.37*y)/g1^13 + 2*g1^10*t^8.56*y + 5*g1^5*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 4346 | $M_1q_1q_2$ + $ \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_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_5X_1$ + $ M_1M_7$ + $ M_8\phi_1^2$ | 0.629 | 0.7788 | 0.8077 | [X:[1.4751], M:[0.8714, 0.7822, 0.9606, 1.2178, 0.5249, 0.6929, 1.1286, 1.1286], q:[0.7822, 0.3465], qb:[0.4357, 0.6929], phi:[0.4357]] | t^2.08 + t^2.35 + t^2.88 + 4*t^3.39 + 2*t^3.65 + t^4.16 + 3*t^4.43 + 2*t^4.69 + 5*t^5.46 + 5*t^5.73 + t^5.76 - 2*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1299 | 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_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_5X_1$ | 0.6539 | 0.8186 | 0.7988 | [X:[1.5176], M:[0.8471, 0.7882, 0.9059, 1.2118, 0.4824, 0.7294], q:[0.7882, 0.3647], qb:[0.4235, 0.7294], phi:[0.4235]] | t^2.19 + t^2.36 + 2*t^2.54 + t^2.72 + 2*t^3.46 + 2*t^3.64 + t^4.38 + 3*t^4.55 + 4*t^4.73 + 2*t^4.91 + 3*t^5.08 + 2*t^5.26 + t^5.44 + 3*t^5.65 + 3*t^5.82 + 2*t^6. - t^4.27/y - t^4.27*y | detail |