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 |
|---|---|---|---|---|---|---|---|---|---|
| 52115 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_4M_6$ + $ M_7\phi_1^2$ | 0.7137 | 0.8739 | 0.8167 | [X:[], M:[0.8852, 0.83, 0.9724, 1.0276, 1.0, 0.9724, 1.0712], q:[0.5712, 0.5436], qb:[0.5988, 0.4288], phi:[0.4644]] | [X:[], M:[[1, 6], [-1, 2], [-1, -2], [1, 2], [0, 0], [-1, -2], [0, -2]], q:[[0, -2], [-1, -4]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_3$, $ M_6$, $ M_5$, $ M_7$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_1M_3$, $ M_1M_6$, $ M_2M_7$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_1M_7$, $ M_3M_5$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$ | . | -3 | t^2.49 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.43 + t^3.97 + t^4.31 + t^4.39 + t^4.48 + t^4.65 + t^4.74 + 2*t^4.82 + t^4.9 + t^4.98 + t^4.99 + t^5.15 + t^5.31 + 2*t^5.41 + t^5.57 + t^5.7 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^6.08 + 2*t^6.13 - t^6.17 + t^6.21 + t^6.34 + t^6.46 - t^6.51 + t^6.62 + t^6.64 + t^6.8 + t^6.85 + 2*t^6.88 + 2*t^6.97 + t^7.13 + t^7.14 + 2*t^7.23 + 3*t^7.31 + 2*t^7.39 + t^7.47 + t^7.48 + 2*t^7.57 + 2*t^7.64 + 2*t^7.65 + 3*t^7.74 + t^7.8 + t^7.82 + 3*t^7.9 + t^7.93 + t^7.97 + t^8.06 + t^8.08 - t^8.15 + t^8.19 + t^8.23 + t^8.25 + t^8.28 + 2*t^8.32 + 2*t^8.36 + t^8.41 + t^8.44 - 3*t^8.49 + t^8.52 - 2*t^8.57 + 3*t^8.62 - 4*t^8.66 + t^8.7 + 2*t^8.75 + 3*t^8.79 - t^8.82 + t^8.87 - 7*t^8.92 + 2*t^8.95 + t^8.97 - t^4.39/y - t^6.88/y - t^7.05/y - t^7.31/y + t^7.48/y + t^7.74/y + t^7.9/y + t^8.15/y + (2*t^8.41)/y + t^8.49/y + (2*t^8.57)/y + t^8.66/y + t^8.7/y + t^8.83/y + t^8.87/y + (3*t^8.92)/y - t^4.39*y - t^6.88*y - t^7.05*y - t^7.31*y + t^7.48*y + t^7.74*y + t^7.9*y + t^8.15*y + 2*t^8.41*y + t^8.49*y + 2*t^8.57*y + t^8.66*y + t^8.7*y + t^8.83*y + t^8.87*y + 3*t^8.92*y | (g2^2*t^2.49)/g1 + g1*g2^6*t^2.66 + (2*t^2.92)/(g1*g2^2) + t^3. + t^3.21/g2^2 + t^3.43/g2^4 + g2^5*t^3.97 + t^4.31/(g1*g2) + g2*t^4.39 + g1*g2^3*t^4.48 + t^4.65/(g1^2*g2^7) + t^4.74/(g1*g2^5) + (2*t^4.82)/g2^3 + (g1*t^4.9)/g2 + (g2^4*t^4.98)/g1^2 + g1^2*g2*t^4.99 + g2^8*t^5.15 + g1^2*g2^12*t^5.31 + (2*t^5.41)/g1^2 + g2^4*t^5.57 + t^5.7/g1 + (2*t^5.83)/(g1^2*g2^4) + g1*g2^4*t^5.87 + t^5.92/(g1*g2^2) - 3*t^6. - g1*g2^2*t^6.08 + (2*t^6.13)/(g1*g2^4) - g1^2*g2^4*t^6.17 + t^6.21/g2^2 + t^6.34/(g1*g2^6) + (g2^7*t^6.46)/g1 - (g1*t^6.51)/g2^2 + g1*g2^11*t^6.62 + t^6.64/g2^6 + (g2*t^6.8)/g1^2 + t^6.85/g2^8 + (2*g2^3*t^6.88)/g1 + 2*g2^5*t^6.97 + g1^2*g2^9*t^7.13 + t^7.14/(g1^3*g2^5) + (2*t^7.23)/(g1^2*g2^3) + (3*t^7.31)/(g1*g2) + 2*g2*t^7.39 + (g2^6*t^7.47)/g1^3 + g1*g2^3*t^7.48 + (2*t^7.57)/(g1^3*g2^9) + g1^3*g2^7*t^7.64 + (g2^10*t^7.64)/g1 + (2*t^7.65)/(g1^2*g2^7) + (3*t^7.74)/(g1*g2^5) + g1*g2^14*t^7.8 + t^7.82/g2^3 + (g1*t^7.9)/g2 + (2*g2^2*t^7.9)/g1^3 + g2^10*t^7.93 + g1^3*g2^18*t^7.97 + (g2^6*t^8.06)/g1 + t^8.08/(g1^2*g2^11) - g2^8*t^8.15 + (g2^2*t^8.19)/g1^2 + g1*g2^10*t^8.23 + t^8.25/g2^7 + (g2^4*t^8.28)/g1 + (2*t^8.32)/(g1^3*g2^2) + 2*g2^6*t^8.36 + (g1^2*t^8.41)/g2^3 + g1*g2^8*t^8.44 - (3*g2^2*t^8.49)/g1 + g1^2*g2^10*t^8.52 - 2*g2^4*t^8.57 + (3*t^8.62)/(g1^2*g2^2) - 4*g1*g2^6*t^8.66 + t^8.7/g1 + (2*t^8.75)/(g1^3*g2^6) + 3*g2^2*t^8.79 - g1^3*g2^10*t^8.82 + g1*g2^4*t^8.87 - (7*t^8.92)/(g1*g2^2) + g1^2*g2^6*t^8.95 + (g2^9*t^8.95)/g1^2 + t^8.97/(g1^3*g2^8) - (g2*t^4.39)/y - (g2^3*t^6.88)/(g1*y) - (g1*g2^7*t^7.05)/y - t^7.31/(g1*g2*y) + (g1*g2^3*t^7.48)/y + t^7.74/(g1*g2^5*y) + (g1*t^7.9)/(g2*y) + (g2^8*t^8.15)/y + (2*t^8.41)/(g1^2*y) + (g2^2*t^8.49)/(g1*y) + (2*g2^4*t^8.57)/y + (g1*g2^6*t^8.66)/y + t^8.7/(g1*y) + t^8.83/(g1^2*g2^4*y) + (g1*g2^4*t^8.87)/y + (3*t^8.92)/(g1*g2^2*y) - g2*t^4.39*y - (g2^3*t^6.88*y)/g1 - g1*g2^7*t^7.05*y - (t^7.31*y)/(g1*g2) + g1*g2^3*t^7.48*y + (t^7.74*y)/(g1*g2^5) + (g1*t^7.9*y)/g2 + g2^8*t^8.15*y + (2*t^8.41*y)/g1^2 + (g2^2*t^8.49*y)/g1 + 2*g2^4*t^8.57*y + g1*g2^6*t^8.66*y + (t^8.7*y)/g1 + (t^8.83*y)/(g1^2*g2^4) + g1*g2^4*t^8.87*y + (3*t^8.92*y)/(g1*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 56395 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_4M_6$ + $ M_7\phi_1^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7345 | 0.915 | 0.8027 | [X:[], M:[0.8878, 0.8326, 0.9724, 1.0276, 1.0, 0.9724, 1.0699, 0.6748], q:[0.5699, 0.5423], qb:[0.5975, 0.4301], phi:[0.465]] | t^2.02 + t^2.5 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.42 + t^4.05 + t^4.31 + t^4.4 + t^4.48 + t^4.52 + t^4.65 + t^4.69 + t^4.73 + 2*t^4.81 + t^4.9 + 2*t^4.94 + t^4.98 + t^5. + t^5.02 + t^5.16 + t^5.23 + t^5.33 + 2*t^5.42 + t^5.44 + t^5.58 + t^5.71 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^4.4/y - t^4.4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48147 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_3M_4$ + $ M_4M_6$ | 0.7207 | 0.8863 | 0.8132 | [X:[], M:[0.8653, 0.8101, 0.9724, 1.0276, 1.0, 0.9724], q:[0.5812, 0.5536], qb:[0.6087, 0.4188], phi:[0.4594]] | t^2.43 + t^2.6 + t^2.76 + 2*t^2.92 + t^3. + t^3.49 + t^3.89 + t^4.3 + t^4.38 + t^4.46 + t^4.7 + t^4.78 + t^4.86 + 2*t^4.87 + t^4.95 + 2*t^5.03 + 2*t^5.19 + 3*t^5.35 + 2*t^5.51 + 2*t^5.67 + t^5.76 + 2*t^5.83 + t^5.92 - 3*t^6. - t^4.38/y - t^4.38*y | detail |