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 |
|---|---|---|---|---|---|---|---|---|---|
| 1505 | 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\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5M_6$ | 0.6997 | 0.8583 | 0.8153 | [X:[], M:[1.0, 0.9508, 0.9015, 1.0492, 1.0246, 0.9754], q:[0.5615, 0.4385], qb:[0.5369, 0.5123], phi:[0.4877]] | [X:[], M:[[0], [-4], [-8], [4], [2], [-2]], q:[[5], [-5]], qb:[[3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_3^2$, $ M_2M_3$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_2^2$, $ M_1M_3$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_3q_1\tilde{q}_2$ | . | -2 | t^2.7 + t^2.85 + 2*t^2.93 + t^3. + t^3.15 + t^3.22 + t^4.09 + t^4.32 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + 2*t^4.68 + t^4.76 + t^4.83 + t^5.41 + t^5.56 + t^5.63 + t^5.7 + t^5.78 + 4*t^5.85 + t^5.93 - 2*t^6. + t^6.07 + t^6.15 + t^6.44 + t^6.8 + t^6.95 + 3*t^7.02 + t^7.09 + 3*t^7.24 + 4*t^7.32 + 2*t^7.39 + t^7.46 + 3*t^7.54 + 3*t^7.61 + 3*t^7.68 + t^7.76 + t^7.83 + t^7.91 + t^7.98 + t^8.05 + t^8.11 + t^8.19 + t^8.26 + t^8.34 + 2*t^8.41 + t^8.48 + 3*t^8.56 + t^8.63 + 6*t^8.78 - t^8.85 - 4*t^8.93 - t^4.46/y - t^7.17/y - t^7.39/y + t^7.54/y + t^7.76/y + t^8.56/y + (2*t^8.63)/y + t^8.7/y + (2*t^8.78)/y + (3*t^8.85)/y + (3*t^8.93)/y - t^4.46*y - t^7.17*y - t^7.39*y + t^7.54*y + t^7.76*y + t^8.56*y + 2*t^8.63*y + t^8.7*y + 2*t^8.78*y + 3*t^8.85*y + 3*t^8.93*y | t^2.7/g1^8 + t^2.85/g1^4 + (2*t^2.93)/g1^2 + t^3. + g1^4*t^3.15 + g1^6*t^3.22 + t^4.09/g1^11 + t^4.32/g1^5 + t^4.39/g1^3 + t^4.46/g1 + g1*t^4.54 + g1^3*t^4.61 + 2*g1^5*t^4.68 + g1^7*t^4.76 + g1^9*t^4.83 + t^5.41/g1^16 + t^5.56/g1^12 + t^5.63/g1^10 + t^5.7/g1^8 + t^5.78/g1^6 + (4*t^5.85)/g1^4 + t^5.93/g1^2 - 2*t^6. + g1^2*t^6.07 + g1^4*t^6.15 + g1^12*t^6.44 + t^6.8/g1^19 + t^6.95/g1^15 + (3*t^7.02)/g1^13 + t^7.09/g1^11 + (3*t^7.24)/g1^7 + (4*t^7.32)/g1^5 + (2*t^7.39)/g1^3 + t^7.46/g1 + 3*g1*t^7.54 + 3*g1^3*t^7.61 + 3*g1^5*t^7.68 + g1^7*t^7.76 + g1^9*t^7.83 + g1^11*t^7.91 + g1^13*t^7.98 + g1^15*t^8.05 + t^8.11/g1^24 + t^8.19/g1^22 + t^8.26/g1^20 + t^8.34/g1^18 + (2*t^8.41)/g1^16 + t^8.48/g1^14 + (3*t^8.56)/g1^12 + t^8.63/g1^10 + (6*t^8.78)/g1^6 - t^8.85/g1^4 - (4*t^8.93)/g1^2 - t^4.46/(g1*y) - t^7.17/(g1^9*y) - t^7.39/(g1^3*y) + (g1*t^7.54)/y + (g1^7*t^7.76)/y + t^8.56/(g1^12*y) + (2*t^8.63)/(g1^10*y) + t^8.7/(g1^8*y) + (2*t^8.78)/(g1^6*y) + (3*t^8.85)/(g1^4*y) + (3*t^8.93)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.17*y)/g1^9 - (t^7.39*y)/g1^3 + g1*t^7.54*y + g1^7*t^7.76*y + (t^8.56*y)/g1^12 + (2*t^8.63*y)/g1^10 + (t^8.7*y)/g1^8 + (2*t^8.78*y)/g1^6 + (3*t^8.85*y)/g1^4 + (3*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 2595 | $M_1q_1q_2$ + $ 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\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5M_6$ + $ M_4M_7$ | 0.7049 | 0.8679 | 0.8122 | [X:[], M:[1.0, 0.9381, 0.8763, 1.0619, 1.0309, 0.9691, 0.9381], q:[0.5773, 0.4227], qb:[0.5464, 0.5155], phi:[0.4845]] | t^2.63 + 2*t^2.81 + 2*t^2.91 + t^3. + t^3.28 + t^3.99 + t^4.27 + t^4.36 + t^4.45 + t^4.55 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.92 + t^5.26 + 2*t^5.44 + t^5.54 + 3*t^5.63 + 3*t^5.72 + 4*t^5.81 + t^5.91 - 3*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 968 | 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\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ | 0.6976 | 0.8545 | 0.8164 | [X:[], M:[1.0, 0.9574, 0.9148, 1.0426, 1.0213], q:[0.5533, 0.4467], qb:[0.532, 0.5107], phi:[0.4893]] | t^2.74 + t^2.87 + t^2.94 + t^3. + t^3.06 + t^3.13 + t^3.19 + t^4.15 + t^4.34 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + 2*t^4.66 + t^4.72 + t^4.79 + t^5.49 + t^5.62 + t^5.74 + t^5.81 + 2*t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |