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 |
|---|---|---|---|---|---|---|---|---|---|
| 2503 | 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_6M_7$ | 0.7 | 0.8586 | 0.8152 | [X:[], M:[1.0257, 0.923, 1.0513, 0.8973, 1.0, 0.9487, 1.0513], q:[0.4615, 0.5128], qb:[0.4872, 0.5899], phi:[0.4872]] | [X:[], M:[[2], [-6], [4], [-8], [0], [-4], [4]], 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$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_3$, $ M_7$, $ \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$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_2M_4$, $ M_2^2$, $ M_4M_5$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_2M_5$, $ M_1M_2$, $ M_3M_4$, $ M_4M_7$, $ \phi_1^4$, $ M_2M_3$, $ M_2M_7$, $ M_5\phi_1^2$ | . | -2 | t^2.69 + t^2.77 + t^2.92 + t^3. + t^3.08 + 2*t^3.15 + t^4.23 + t^4.31 + 2*t^4.38 + t^4.46 + t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^5. + t^5.38 + t^5.46 + t^5.54 + t^5.69 + t^5.77 + 3*t^5.85 + t^5.92 - 2*t^6. + t^6.08 + t^6.15 + t^6.23 + 2*t^6.31 - t^6.39 + t^6.92 + 2*t^7. + 2*t^7.08 + 3*t^7.15 + 2*t^7.23 + 3*t^7.31 + 4*t^7.38 + 2*t^7.46 + 3*t^7.54 + 2*t^7.69 + 2*t^7.77 + 2*t^7.92 + t^8.08 + 3*t^8.15 + t^8.23 + t^8.31 + 3*t^8.46 + 3*t^8.54 + 3*t^8.61 - t^8.69 - t^8.77 + 2*t^8.85 - t^4.46/y - t^7.15/y - t^7.23/y + t^7.31/y - t^7.62/y + t^7.69/y + t^7.77/y + t^8.46/y + t^8.61/y + (2*t^8.69)/y + (2*t^8.77)/y + (3*t^8.85)/y + (3*t^8.92)/y - t^4.46*y - t^7.15*y - t^7.23*y + t^7.31*y - t^7.62*y + t^7.69*y + t^7.77*y + t^8.46*y + t^8.61*y + 2*t^8.69*y + 2*t^8.77*y + 3*t^8.85*y + 3*t^8.92*y | t^2.69/g1^8 + t^2.77/g1^6 + t^2.92/g1^2 + t^3. + g1^2*t^3.08 + 2*g1^4*t^3.15 + t^4.23/g1^7 + t^4.31/g1^5 + (2*t^4.38)/g1^3 + t^4.46/g1 + g1*t^4.54 + g1^3*t^4.62 + g1^5*t^4.69 + g1^7*t^4.77 + g1^13*t^5. + t^5.38/g1^16 + t^5.46/g1^14 + t^5.54/g1^12 + t^5.69/g1^8 + t^5.77/g1^6 + (3*t^5.85)/g1^4 + t^5.92/g1^2 - 2*t^6. + g1^2*t^6.08 + g1^4*t^6.15 + g1^6*t^6.23 + 2*g1^8*t^6.31 - g1^10*t^6.39 + t^6.92/g1^15 + (2*t^7.)/g1^13 + (2*t^7.08)/g1^11 + (3*t^7.15)/g1^9 + (2*t^7.23)/g1^7 + (3*t^7.31)/g1^5 + (4*t^7.38)/g1^3 + (2*t^7.46)/g1 + 3*g1*t^7.54 + 2*g1^5*t^7.69 + 2*g1^7*t^7.77 + 2*g1^11*t^7.92 + t^8.08/g1^24 + t^8.15/g1^22 + 2*g1^17*t^8.15 + t^8.23/g1^20 + t^8.31/g1^18 + (3*t^8.46)/g1^14 + (3*t^8.54)/g1^12 + (3*t^8.61)/g1^10 - t^8.69/g1^8 - t^8.77/g1^6 + (2*t^8.85)/g1^4 - t^4.46/(g1*y) - t^7.15/(g1^9*y) - t^7.23/(g1^7*y) + t^7.31/(g1^5*y) - (g1^3*t^7.62)/y + (g1^5*t^7.69)/y + (g1^7*t^7.77)/y + t^8.46/(g1^14*y) + t^8.61/(g1^10*y) + (2*t^8.69)/(g1^8*y) + (2*t^8.77)/(g1^6*y) + (3*t^8.85)/(g1^4*y) + (3*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.15*y)/g1^9 - (t^7.23*y)/g1^7 + (t^7.31*y)/g1^5 - g1^3*t^7.62*y + g1^5*t^7.69*y + g1^7*t^7.77*y + (t^8.46*y)/g1^14 + (t^8.61*y)/g1^10 + (2*t^8.69*y)/g1^8 + (2*t^8.77*y)/g1^6 + (3*t^8.85*y)/g1^4 + (3*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 4546 | $M_1q_1q_2$ + $ 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_6M_7$ + $ M_1M_8$ | 0.7026 | 0.8634 | 0.8137 | [X:[], M:[1.0292, 0.9123, 1.0585, 0.8831, 1.0, 0.9415, 1.0585, 0.9708], q:[0.4561, 0.5146], qb:[0.4854, 0.6023], phi:[0.4854]] | t^2.65 + t^2.74 + 2*t^2.91 + t^3. + 2*t^3.18 + 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 + t^5.47 + t^5.56 + 2*t^5.65 + 4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1434 | 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$ | 0.7054 | 0.8688 | 0.8119 | [X:[], M:[1.0326, 0.9023, 1.0652, 0.8697, 1.0, 0.9348], q:[0.4511, 0.5163], qb:[0.4837, 0.614], phi:[0.4837]] | t^2.61 + t^2.71 + t^2.8 + t^2.9 + t^3. + t^3.1 + t^3.2 + t^4.16 + t^4.26 + 2*t^4.35 + t^4.45 + t^4.55 + t^4.65 + t^4.74 + t^4.84 + t^5.14 + t^5.22 + t^5.32 + 2*t^5.41 + t^5.51 + 2*t^5.61 + 2*t^5.71 + 3*t^5.8 + t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail |