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 |
|---|---|---|---|---|---|---|---|---|---|
| 4548 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_3M_7$ + $ M_8\phi_1^2$ | 0.7085 | 0.8748 | 0.8099 | [X:[], M:[1.0358, 0.8925, 1.0716, 0.8567, 1.0, 0.9284, 0.9284, 1.0358], q:[0.4463, 0.5179], qb:[0.4821, 0.6254], phi:[0.4821]] | [X:[], M:[[2], [-6], [4], [-8], [0], [-4], [-4], [2]], q:[[-3], [1]], qb:[[-1], [7]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_6$, $ M_7$, $ M_5$, $ M_1$, $ M_8$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2^2$, $ M_4M_6$, $ M_4M_7$, $ M_2M_6$, $ M_2M_7$, $ M_4M_5$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_1M_4$, $ M_2M_5$, $ M_4M_8$, $ M_1M_2$, $ M_5M_6$, $ M_5M_7$, $ M_2M_8$, $ M_1M_6$, $ M_1M_7$, $ M_6M_8$, $ M_7M_8$ | . | -3 | t^2.57 + t^2.68 + 2*t^2.79 + t^3. + 2*t^3.11 + t^4.12 + t^4.23 + 2*t^4.34 + t^4.45 + t^4.55 + t^4.66 + t^4.77 + t^4.88 + t^5.14 + t^5.2 + t^5.25 + 3*t^5.36 + t^5.46 + 3*t^5.57 + 2*t^5.68 + 3*t^5.79 + 2*t^5.89 - 3*t^6. + t^6.21 - t^6.32 - t^6.43 - t^6.54 + t^6.69 + 2*t^6.8 + 4*t^6.91 + 4*t^7.02 + 5*t^7.12 + 4*t^7.23 + 4*t^7.34 + 3*t^7.45 + t^7.55 + t^7.71 + t^7.82 + t^7.88 + 3*t^7.93 + t^7.98 + 2*t^8.03 - t^8.09 + 4*t^8.14 + 4*t^8.25 + t^8.31 + 6*t^8.36 + 5*t^8.46 - 3*t^8.79 + t^8.89 - t^4.45/y - t^7.02/y - t^7.12/y - t^7.23/y + t^7.34/y - t^7.55/y + t^7.66/y + t^7.77/y + t^7.88/y + t^8.25/y + (2*t^8.36)/y + (2*t^8.46)/y + (2*t^8.57)/y + (3*t^8.68)/y + (4*t^8.79)/y + (4*t^8.89)/y - t^4.45*y - t^7.02*y - t^7.12*y - t^7.23*y + t^7.34*y - t^7.55*y + t^7.66*y + t^7.77*y + t^7.88*y + t^8.25*y + 2*t^8.36*y + 2*t^8.46*y + 2*t^8.57*y + 3*t^8.68*y + 4*t^8.79*y + 4*t^8.89*y | t^2.57/g1^8 + t^2.68/g1^6 + (2*t^2.79)/g1^4 + t^3. + 2*g1^2*t^3.11 + t^4.12/g1^7 + t^4.23/g1^5 + (2*t^4.34)/g1^3 + t^4.45/g1 + g1*t^4.55 + g1^3*t^4.66 + g1^5*t^4.77 + g1^7*t^4.88 + t^5.14/g1^16 + g1^13*t^5.2 + t^5.25/g1^14 + (3*t^5.36)/g1^12 + t^5.46/g1^10 + (3*t^5.57)/g1^8 + (2*t^5.68)/g1^6 + (3*t^5.79)/g1^4 + (2*t^5.89)/g1^2 - 3*t^6. + g1^4*t^6.21 - g1^6*t^6.32 - g1^8*t^6.43 - g1^10*t^6.54 + t^6.69/g1^15 + (2*t^6.8)/g1^13 + (4*t^6.91)/g1^11 + (4*t^7.02)/g1^9 + (5*t^7.12)/g1^7 + (4*t^7.23)/g1^5 + (4*t^7.34)/g1^3 + (3*t^7.45)/g1 + g1*t^7.55 + t^7.71/g1^24 + t^7.82/g1^22 + g1^7*t^7.88 + (3*t^7.93)/g1^20 + g1^9*t^7.98 + (2*t^8.03)/g1^18 - g1^11*t^8.09 + (4*t^8.14)/g1^16 + (4*t^8.25)/g1^14 + g1^15*t^8.31 + (6*t^8.36)/g1^12 + (5*t^8.46)/g1^10 - (3*t^8.79)/g1^4 + t^8.89/g1^2 - t^4.45/(g1*y) - t^7.02/(g1^9*y) - t^7.12/(g1^7*y) - t^7.23/(g1^5*y) + t^7.34/(g1^3*y) - (g1*t^7.55)/y + (g1^3*t^7.66)/y + (g1^5*t^7.77)/y + (g1^7*t^7.88)/y + t^8.25/(g1^14*y) + (2*t^8.36)/(g1^12*y) + (2*t^8.46)/(g1^10*y) + (2*t^8.57)/(g1^8*y) + (3*t^8.68)/(g1^6*y) + (4*t^8.79)/(g1^4*y) + (4*t^8.89)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.02*y)/g1^9 - (t^7.12*y)/g1^7 - (t^7.23*y)/g1^5 + (t^7.34*y)/g1^3 - g1*t^7.55*y + g1^3*t^7.66*y + g1^5*t^7.77*y + g1^7*t^7.88*y + (t^8.25*y)/g1^14 + (2*t^8.36*y)/g1^12 + (2*t^8.46*y)/g1^10 + (2*t^8.57*y)/g1^8 + (3*t^8.68*y)/g1^6 + (4*t^8.79*y)/g1^4 + (4*t^8.89*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6049 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_3M_7$ + $ M_8\phi_1^2$ + $ M_6M_9$ | 0.7025 | 0.8633 | 0.8137 | [X:[], M:[1.0291, 0.9128, 1.0581, 0.8837, 1.0, 0.9419, 0.9419, 1.0291, 1.0581], q:[0.4564, 0.5145], qb:[0.4855, 0.6018], phi:[0.4855]] | t^2.65 + t^2.74 + t^2.83 + t^3. + 2*t^3.09 + t^3.17 + t^4.19 + t^4.28 + 2*t^4.37 + t^4.46 + t^4.54 + t^4.63 + t^4.72 + t^4.81 + t^5.07 + t^5.3 + t^5.39 + 2*t^5.48 + t^5.65 + 2*t^5.74 + 3*t^5.83 + t^5.91 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2507 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ + $ M_3M_7$ | 0.712 | 0.8818 | 0.8075 | [X:[], M:[1.0392, 0.8823, 1.0785, 0.8431, 1.0, 0.9215, 0.9215], q:[0.4412, 0.5196], qb:[0.4804, 0.6373], phi:[0.4804]] | t^2.53 + t^2.65 + 2*t^2.76 + t^2.88 + t^3. + t^3.12 + t^4.09 + t^4.21 + 2*t^4.32 + t^4.44 + t^4.56 + t^4.68 + t^4.79 + t^4.91 + t^5.06 + t^5.18 + t^5.26 + 3*t^5.29 + 2*t^5.41 + 4*t^5.53 + 3*t^5.65 + 3*t^5.76 + t^5.88 - 2*t^6. - t^4.44/y - t^4.44*y | detail |