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 |
|---|---|---|---|---|---|---|---|---|---|
| 2333 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_3M_7$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.5882 | 0.727 | 0.8091 | [X:[1.5933], M:[0.4067, 1.1865, 1.2202, 0.7798, 0.8471, 1.0, 0.7798], q:[0.9067, 0.6865], qb:[0.3135, 0.4664], phi:[0.4067]] | [X:[[1]], M:[[-1], [2], [-3], [3], [-7], [0], [3]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_5$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_4M_6$, $ M_6M_7$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_2M_7$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | . | -2 | 2*t^2.34 + t^2.54 + t^3. + t^3.1 + 2*t^3.56 + t^4.02 + t^4.12 + 3*t^4.68 + t^4.78 + 2*t^4.88 + t^5.08 + 2*t^5.34 + t^5.44 + t^5.64 + 3*t^5.9 - 2*t^6. + 2*t^6.1 + t^6.2 + 2*t^6.36 + t^6.46 + t^6.56 + t^6.66 - t^6.76 + 4*t^7.02 + 3*t^7.12 + t^7.22 + 2*t^7.42 + t^7.58 + t^7.62 + 3*t^7.68 + t^7.98 + t^8.04 + t^8.14 + t^8.18 + 4*t^8.24 - 4*t^8.34 + 2*t^8.44 - 2*t^8.54 + t^8.64 + 3*t^8.7 + t^8.74 + t^8.8 + t^8.9 - t^4.22/y - t^6.56/y - t^6.76/y + (2*t^7.68)/y + (3*t^7.88)/y + (2*t^8.34)/y + (2*t^8.44)/y + t^8.54/y + t^8.64/y + (3*t^8.9)/y - t^4.22*y - t^6.56*y - t^6.76*y + 2*t^7.68*y + 3*t^7.88*y + 2*t^8.34*y + 2*t^8.44*y + t^8.54*y + t^8.64*y + 3*t^8.9*y | 2*g1^3*t^2.34 + t^2.54/g1^7 + t^3. + t^3.1/g1^5 + 2*g1^2*t^3.56 + g1^9*t^4.02 + g1^4*t^4.12 + 3*g1^6*t^4.68 + g1*t^4.78 + (2*t^4.88)/g1^4 + t^5.08/g1^14 + 2*g1^3*t^5.34 + t^5.44/g1^2 + t^5.64/g1^12 + 3*g1^5*t^5.9 - 2*t^6. + (2*t^6.1)/g1^5 + t^6.2/g1^10 + 2*g1^12*t^6.36 + g1^7*t^6.46 + g1^2*t^6.56 + t^6.66/g1^3 - t^6.76/g1^8 + 4*g1^9*t^7.02 + 3*g1^4*t^7.12 + t^7.22/g1 + (2*t^7.42)/g1^11 + g1^11*t^7.58 + t^7.62/g1^21 + 3*g1^6*t^7.68 + t^7.98/g1^9 + g1^18*t^8.04 + g1^13*t^8.14 + t^8.18/g1^19 + 4*g1^8*t^8.24 - 4*g1^3*t^8.34 + (2*t^8.44)/g1^2 - (2*t^8.54)/g1^7 + t^8.64/g1^12 + 3*g1^15*t^8.7 + t^8.74/g1^17 + g1^10*t^8.8 + g1^5*t^8.9 - t^4.22/(g1*y) - (g1^2*t^6.56)/y - t^6.76/(g1^8*y) + (2*g1^6*t^7.68)/y + (3*t^7.88)/(g1^4*y) + (2*g1^3*t^8.34)/y + (2*t^8.44)/(g1^2*y) + t^8.54/(g1^7*y) + t^8.64/(g1^12*y) + (3*g1^5*t^8.9)/y - (t^4.22*y)/g1 - g1^2*t^6.56*y - (t^6.76*y)/g1^8 + 2*g1^6*t^7.68*y + (3*t^7.88*y)/g1^4 + 2*g1^3*t^8.34*y + (2*t^8.44*y)/g1^2 + (t^8.54*y)/g1^7 + (t^8.64*y)/g1^12 + 3*g1^5*t^8.9*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 4325 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_3M_7$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.5928 | 0.7366 | 0.8047 | [X:[1.5873], M:[0.4127, 1.1747, 1.238, 0.762, 0.8886, 1.0, 0.762, 0.9367], q:[0.9127, 0.6747], qb:[0.3253, 0.4367], phi:[0.4127]] | 2*t^2.29 + t^2.67 + t^2.81 + t^3. + 2*t^3.52 + t^3.86 + t^4.05 + 3*t^4.57 + t^4.76 + 2*t^4.95 + 2*t^5.1 + 2*t^5.29 + t^5.33 + t^5.62 + 4*t^5.81 - 2*t^6. - t^4.24/y - t^4.24*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1310 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_3M_4$ + $ M_3M_7$ | 0.7137 | 0.8739 | 0.8167 | [X:[], M:[0.83, 1.0712, 1.0276, 0.9724, 0.8852, 1.0, 0.9724], q:[0.5988, 0.5712], qb:[0.4288, 0.5436], phi:[0.4644]] | t^2.49 + t^2.66 + 2*t^2.92 + t^3. + t^3.21 + t^3.43 + t^3.97 + t^4.31 + t^4.39 + t^4.48 + t^4.65 + t^4.74 + 2*t^4.82 + t^4.9 + t^4.98 + t^4.99 + t^5.15 + t^5.31 + 2*t^5.41 + t^5.57 + t^5.7 + 2*t^5.83 + t^5.87 + t^5.92 - 3*t^6. - t^4.39/y - t^4.39*y | detail |