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 |
|---|---|---|---|---|---|---|---|---|---|
| 1617 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_7$ | 0.6511 | 0.7974 | 0.8166 | [X:[], M:[1.1698, 1.1069, 0.956, 1.0, 0.8302, 0.7862, 1.044], q:[0.7767, 0.4371], qb:[0.3931, 0.6069], phi:[0.4465]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-8], [11]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_4$, $ M_7$, $ M_2$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_6M_7$, $ M_5M_7$, $ M_2M_6$, $ M_2M_5$ | . | -1 | t^2.36 + t^2.49 + t^3. + t^3.13 + t^3.32 + t^3.51 + t^3.7 + t^3.83 + t^3.96 + t^4.15 + t^4.34 + t^4.47 + t^4.72 + t^4.85 + 2*t^4.98 + t^5.49 + t^5.62 + t^5.68 + t^5.81 - t^6. + t^6.06 + t^6.19 + t^6.26 + 2*t^6.32 + 2*t^6.45 + t^6.64 + t^6.7 + 2*t^6.83 + 2*t^6.96 + t^7.08 + t^7.09 + t^7.21 + t^7.28 + t^7.34 + t^7.4 + 3*t^7.47 + t^7.53 + t^7.6 + 2*t^7.66 + t^7.79 + t^7.92 + t^7.98 + 2*t^8.04 + 2*t^8.11 + t^8.17 + 2*t^8.3 - 2*t^8.36 + t^8.42 + t^8.43 - 2*t^8.49 + t^8.55 + 2*t^8.68 + t^8.75 + 2*t^8.81 - t^8.87 + 3*t^8.94 - t^4.34/y - t^6.7/y + t^7.85/y + t^7.98/y + t^8.36/y + (2*t^8.49)/y + t^8.62/y + t^8.68/y + t^8.81/y + t^8.87/y - t^4.34*y - t^6.7*y + t^7.85*y + t^7.98*y + t^8.36*y + 2*t^8.49*y + t^8.62*y + t^8.68*y + t^8.81*y + t^8.87*y | t^2.36/g1^8 + g1^3*t^2.49 + t^3. + g1^11*t^3.13 + g1^4*t^3.32 + t^3.51/g1^3 + t^3.7/g1^10 + g1*t^3.83 + g1^12*t^3.96 + g1^5*t^4.15 + t^4.34/g1^2 + g1^9*t^4.47 + t^4.72/g1^16 + t^4.85/g1^5 + 2*g1^6*t^4.98 + g1^3*t^5.49 + g1^14*t^5.62 + t^5.68/g1^4 + g1^7*t^5.81 - t^6. + t^6.06/g1^18 + t^6.19/g1^7 + g1^22*t^6.26 + 2*g1^4*t^6.32 + 2*g1^15*t^6.45 + g1^8*t^6.64 + t^6.7/g1^10 + 2*g1*t^6.83 + 2*g1^12*t^6.96 + t^7.08/g1^24 + g1^23*t^7.09 + t^7.21/g1^13 + g1^16*t^7.28 + t^7.34/g1^2 + t^7.4/g1^20 + 3*g1^9*t^7.47 + t^7.53/g1^9 + g1^20*t^7.6 + 2*g1^2*t^7.66 + g1^13*t^7.79 + g1^24*t^7.92 + g1^6*t^7.98 + (2*t^8.04)/g1^12 + 2*g1^17*t^8.11 + t^8.17/g1 + 2*g1^10*t^8.3 - (2*t^8.36)/g1^8 + t^8.42/g1^26 + g1^21*t^8.43 - 2*g1^3*t^8.49 + t^8.55/g1^15 + (2*t^8.68)/g1^4 + g1^25*t^8.75 + 2*g1^7*t^8.81 - t^8.87/g1^11 + 3*g1^18*t^8.94 - t^4.34/(g1^2*y) - t^6.7/(g1^10*y) + t^7.85/(g1^5*y) + (g1^6*t^7.98)/y + t^8.36/(g1^8*y) + (2*g1^3*t^8.49)/y + (g1^14*t^8.62)/y + t^8.68/(g1^4*y) + (g1^7*t^8.81)/y + t^8.87/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.7*y)/g1^10 + (t^7.85*y)/g1^5 + g1^6*t^7.98*y + (t^8.36*y)/g1^8 + 2*g1^3*t^8.49*y + g1^14*t^8.62*y + (t^8.68*y)/g1^4 + g1^7*t^8.81*y + (t^8.87*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4009 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6711 | 0.8346 | 0.8041 | [X:[], M:[1.1693, 1.1076, 0.9542, 1.0, 0.8307, 0.7849, 1.0458, 0.7231], q:[0.7769, 0.4382], qb:[0.3924, 0.6076], phi:[0.4462]] | t^2.17 + t^2.35 + t^2.49 + t^3. + t^3.14 + t^3.32 + t^3.51 + t^3.69 + t^3.97 + t^4.15 + 2*t^4.34 + t^4.48 + t^4.52 + t^4.66 + t^4.71 + t^4.85 + 2*t^4.98 + t^5.17 + t^5.31 + 2*t^5.49 + t^5.63 + 2*t^5.68 + t^5.81 + t^5.86 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 4089 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_8\phi_1q_2^2$ | 0.6719 | 0.8383 | 0.8015 | [X:[], M:[1.1688, 1.1082, 0.9524, 1.0, 0.8312, 0.7836, 1.0476, 0.6754], q:[0.7771, 0.4394], qb:[0.3918, 0.6082], phi:[0.4459]] | t^2.03 + t^2.35 + t^2.49 + t^3. + t^3.14 + t^3.32 + t^3.51 + t^3.69 + t^3.83 + t^4.05 + t^4.16 + t^4.34 + t^4.38 + t^4.48 + t^4.52 + t^4.7 + t^4.84 + 2*t^4.99 + t^5.03 + t^5.17 + t^5.35 + t^5.49 + t^5.53 + t^5.64 + t^5.68 + t^5.71 + t^5.82 + t^5.86 - t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1037 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6q_1q_2$ | 0.6579 | 0.8085 | 0.8137 | [X:[], M:[1.1541, 1.1279, 0.8983, 1.0, 0.8459, 0.7442], q:[0.782, 0.4738], qb:[0.3721, 0.6279], phi:[0.436]] | t^2.23 + t^2.54 + t^2.69 + t^3. + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.15 + t^4.23 + t^4.31 + t^4.47 + t^4.61 + t^4.77 + t^4.93 + 2*t^5.08 + t^5.23 + t^5.39 + t^5.62 + t^5.69 + t^5.77 + t^5.92 - t^6. - t^4.31/y - t^4.31*y | detail |