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 |
|---|---|---|---|---|---|---|---|---|---|
| 55531 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_6$ | 0.6243 | 0.8105 | 0.7702 | [X:[], M:[1.0, 0.9796, 0.7372, 1.0102, 0.7474, 1.0204], q:[0.7526, 0.2474], qb:[0.5102, 0.5102], phi:[0.4949]] | [X:[], M:[[0], [-8], [-5], [4], [-1], [8]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_3M_4$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4M_5$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_2$ | $M_4\phi_1^2$, $ M_3q_1\tilde{q}_2$ | -2 | t^2.21 + t^2.24 + 2*t^2.27 + t^2.97 + t^3. + t^3.03 + t^3.06 + t^3.76 + t^3.79 + t^4.42 + t^4.45 + 3*t^4.48 + 2*t^4.52 + 6*t^4.55 + t^5.18 + 4*t^5.24 + 4*t^5.27 + 3*t^5.3 + 2*t^5.33 + t^5.94 + t^5.97 - 2*t^6. + 4*t^6.03 + 3*t^6.06 + t^6.09 + t^6.12 + t^6.64 + t^6.67 + t^6.7 + 2*t^6.73 + 6*t^6.76 + 4*t^6.79 + 10*t^6.82 + t^6.85 + t^7.39 + 3*t^7.45 - t^7.48 + 8*t^7.52 + 8*t^7.55 + 6*t^7.58 + 6*t^7.61 + t^8.15 - 2*t^8.21 - t^8.24 - 5*t^8.27 + 8*t^8.3 + 8*t^8.33 + 3*t^8.36 + 2*t^8.4 + t^8.85 + t^8.88 + 2*t^8.91 + 3*t^8.94 - t^8.97 - t^4.48/y - t^6.7/y - t^6.73/y + t^7.45/y + (2*t^7.48)/y + (2*t^7.52)/y + t^7.55/y + t^8.18/y + (2*t^8.21)/y + (5*t^8.24)/y + (5*t^8.27)/y + (3*t^8.3)/y + (2*t^8.33)/y - t^8.91/y - t^8.94/y + t^8.97/y - t^4.48*y - t^6.7*y - t^6.73*y + t^7.45*y + 2*t^7.48*y + 2*t^7.52*y + t^7.55*y + t^8.18*y + 2*t^8.21*y + 5*t^8.24*y + 5*t^8.27*y + 3*t^8.3*y + 2*t^8.33*y - t^8.91*y - t^8.94*y + t^8.97*y | t^2.21/g1^5 + t^2.24/g1 + 2*g1^3*t^2.27 + t^2.97/g1^4 + t^3. + g1^4*t^3.03 + g1^8*t^3.06 + g1*t^3.76 + g1^5*t^3.79 + t^4.42/g1^10 + t^4.45/g1^6 + (3*t^4.48)/g1^2 + 2*g1^2*t^4.52 + 6*g1^6*t^4.55 + t^5.18/g1^9 + (4*t^5.24)/g1 + 4*g1^3*t^5.27 + 3*g1^7*t^5.3 + 2*g1^11*t^5.33 + t^5.94/g1^8 + t^5.97/g1^4 - 2*t^6. + 4*g1^4*t^6.03 + 3*g1^8*t^6.06 + g1^12*t^6.09 + g1^16*t^6.12 + t^6.64/g1^15 + t^6.67/g1^11 + t^6.7/g1^7 + (2*t^6.73)/g1^3 + 6*g1*t^6.76 + 4*g1^5*t^6.79 + 10*g1^9*t^6.82 + g1^13*t^6.85 + t^7.39/g1^14 + (3*t^7.45)/g1^6 - t^7.48/g1^2 + 8*g1^2*t^7.52 + 8*g1^6*t^7.55 + 6*g1^10*t^7.58 + 6*g1^14*t^7.61 + t^8.15/g1^13 - (2*t^8.21)/g1^5 - t^8.24/g1 - 5*g1^3*t^8.27 + 8*g1^7*t^8.3 + 8*g1^11*t^8.33 + 3*g1^15*t^8.36 + 2*g1^19*t^8.4 + t^8.85/g1^20 + t^8.88/g1^16 + (2*t^8.91)/g1^12 + (3*t^8.94)/g1^8 - t^8.97/g1^4 - t^4.48/(g1^2*y) - t^6.7/(g1^7*y) - t^6.73/(g1^3*y) + t^7.45/(g1^6*y) + (2*t^7.48)/(g1^2*y) + (2*g1^2*t^7.52)/y + (g1^6*t^7.55)/y + t^8.18/(g1^9*y) + (2*t^8.21)/(g1^5*y) + (5*t^8.24)/(g1*y) + (5*g1^3*t^8.27)/y + (3*g1^7*t^8.3)/y + (2*g1^11*t^8.33)/y - t^8.91/(g1^12*y) - t^8.94/(g1^8*y) + t^8.97/(g1^4*y) - (t^4.48*y)/g1^2 - (t^6.7*y)/g1^7 - (t^6.73*y)/g1^3 + (t^7.45*y)/g1^6 + (2*t^7.48*y)/g1^2 + 2*g1^2*t^7.52*y + g1^6*t^7.55*y + (t^8.18*y)/g1^9 + (2*t^8.21*y)/g1^5 + (5*t^8.24*y)/g1 + 5*g1^3*t^8.27*y + 3*g1^7*t^8.3*y + 2*g1^11*t^8.33*y - (t^8.91*y)/g1^12 - (t^8.94*y)/g1^8 + (t^8.97*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57112 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_6$ + $ M_4M_7$ | 0.6261 | 0.8118 | 0.7713 | [X:[], M:[1.0, 0.941, 0.7131, 1.0295, 0.7426, 1.059, 0.9705], q:[0.7574, 0.2426], qb:[0.5295, 0.5295], phi:[0.4852]] | t^2.14 + t^2.23 + 2*t^2.32 + 2*t^2.91 + t^3. + t^3.18 + t^3.77 + t^3.86 + t^4.28 + t^4.37 + 3*t^4.46 + 2*t^4.54 + 6*t^4.63 + 2*t^5.05 + t^5.14 + 5*t^5.23 + 3*t^5.32 + t^5.4 + 2*t^5.49 + 3*t^5.82 + 2*t^5.91 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47144 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6296 | 0.8171 | 0.7705 | [X:[], M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.08 + t^2.22 + 2*t^2.35 + t^2.72 + t^2.86 + t^3. + t^3.14 + t^3.78 + t^3.92 + t^4.15 + t^4.29 + 3*t^4.43 + 2*t^4.57 + 6*t^4.71 + t^4.8 + 2*t^4.94 + 2*t^5.08 + 4*t^5.22 + 3*t^5.35 + t^5.44 + 2*t^5.49 + t^5.58 + 2*t^5.72 + 2*t^5.86 - 2*t^6. - t^4.43/y - t^4.43*y | detail |