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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[2], [-6], [4], [-8], [0], [-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$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_3$, $ \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_6$, $ M_2M_6$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_6^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_2M_3$, $ M_1M_6$, $ M_5\phi_1^2$ | . | -1 | 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^6.49 + t^6.77 + 2*t^6.86 + 3*t^6.96 + 4*t^7.06 + 4*t^7.16 + 4*t^7.26 + 4*t^7.35 + 2*t^7.45 + 2*t^7.55 + t^7.74 + t^7.83 + t^7.84 + t^7.92 + 2*t^8.02 + t^8.04 + 2*t^8.12 + 2*t^8.22 + 4*t^8.32 + t^8.33 + 4*t^8.41 + 4*t^8.51 + t^8.61 - t^8.9 - t^4.45/y - t^7.06/y - t^7.16/y + t^7.74/y + t^7.84/y + t^8.32/y + t^8.41/y + (2*t^8.51)/y + (2*t^8.61)/y + (3*t^8.71)/y + (3*t^8.8)/y + (3*t^8.9)/y - t^4.45*y - t^7.06*y - t^7.16*y + t^7.74*y + t^7.84*y + t^8.32*y + t^8.41*y + 2*t^8.51*y + 2*t^8.61*y + 3*t^8.71*y + 3*t^8.8*y + 3*t^8.9*y | t^2.61/g1^8 + t^2.71/g1^6 + t^2.8/g1^4 + t^2.9/g1^2 + t^3. + g1^2*t^3.1 + g1^4*t^3.2 + t^4.16/g1^7 + t^4.26/g1^5 + (2*t^4.35)/g1^3 + t^4.45/g1 + g1*t^4.55 + g1^3*t^4.65 + g1^5*t^4.74 + g1^7*t^4.84 + g1^13*t^5.14 + t^5.22/g1^16 + t^5.32/g1^14 + (2*t^5.41)/g1^12 + t^5.51/g1^10 + (2*t^5.61)/g1^8 + (2*t^5.71)/g1^6 + (3*t^5.8)/g1^4 + t^5.9/g1^2 - t^6. - g1^10*t^6.49 + t^6.77/g1^15 + (2*t^6.86)/g1^13 + (3*t^6.96)/g1^11 + (4*t^7.06)/g1^9 + (4*t^7.16)/g1^7 + (4*t^7.26)/g1^5 + (4*t^7.35)/g1^3 + (2*t^7.45)/g1 + 2*g1*t^7.55 + g1^5*t^7.74 + t^7.83/g1^24 + g1^7*t^7.84 + t^7.92/g1^22 + (2*t^8.02)/g1^20 + g1^11*t^8.04 + (2*t^8.12)/g1^18 + (2*t^8.22)/g1^16 + (4*t^8.32)/g1^14 + g1^17*t^8.33 + (4*t^8.41)/g1^12 + (4*t^8.51)/g1^10 + t^8.61/g1^8 - t^8.9/g1^2 - t^4.45/(g1*y) - t^7.06/(g1^9*y) - t^7.16/(g1^7*y) + (g1^5*t^7.74)/y + (g1^7*t^7.84)/y + t^8.32/(g1^14*y) + t^8.41/(g1^12*y) + (2*t^8.51)/(g1^10*y) + (2*t^8.61)/(g1^8*y) + (3*t^8.71)/(g1^6*y) + (3*t^8.8)/(g1^4*y) + (3*t^8.9)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.06*y)/g1^9 - (t^7.16*y)/g1^7 + g1^5*t^7.74*y + g1^7*t^7.84*y + (t^8.32*y)/g1^14 + (t^8.41*y)/g1^12 + (2*t^8.51*y)/g1^10 + (2*t^8.61*y)/g1^8 + (3*t^8.71*y)/g1^6 + (3*t^8.8*y)/g1^4 + (3*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 2506 | $M_1q_1q_2$ + $ 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_1M_7$ | 0.7086 | 0.875 | 0.8098 | [X:[], M:[1.0361, 0.8918, 1.0721, 0.8558, 1.0, 0.9279, 0.9639], q:[0.4459, 0.518], qb:[0.482, 0.6262], phi:[0.482]] | t^2.57 + t^2.68 + t^2.78 + 2*t^2.89 + t^3. + t^3.22 + 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^5.13 + t^5.2 + t^5.24 + 2*t^5.35 + 2*t^5.46 + 3*t^5.57 + 2*t^5.68 + 4*t^5.78 + t^5.89 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 2507 | $M_1q_1q_2$ + $ 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 | |
| 2503 | $M_1q_1q_2$ + $ 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]] | 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^4.46/y - t^4.46*y | detail | |
| 2502 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ | 0.679 | 0.8521 | 0.7969 | [X:[], M:[1.0769, 0.7692, 1.1538, 0.6923, 1.0, 0.8462], q:[0.3846, 0.5385], qb:[0.4615, 0.7692], phi:[0.4615]] | t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.92 + 3*t^4.15 + 2*t^4.38 + 3*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 3*t^5.54 + 2*t^5.77 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 459/676, c: 144/169, M1: 14/13, M2: 10/13, M3: 15/13, M4: 9/13, M5: 1, M6: 11/13, q1: 5/13, q2: 7/13, qb1: 6/13, qb2: 10/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 935 | 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$ | 0.7231 | 0.895 | 0.8079 | [X:[], M:[1.0717, 0.7848, 0.9379, 0.9187, 1.0, 0.8566], q:[0.4952, 0.4331], qb:[0.5669, 0.6482], phi:[0.4641]] | t^2.35 + t^2.57 + t^2.76 + t^2.78 + t^2.81 + t^3. + t^3.22 + t^3.99 + t^4.18 + t^4.36 + t^4.39 + t^4.58 + t^4.64 + t^4.71 + t^4.79 + t^4.82 + t^4.92 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.28 + t^5.33 + t^5.35 + t^5.38 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.78 + t^5.97 - 2*t^6. - t^4.39/y - t^4.39*y | detail |