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 |
|---|---|---|---|---|---|---|---|---|---|
| 3155 | 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6991 | 0.8842 | 0.7907 | [X:[1.3811], M:[1.0, 0.7903, 0.6189, 1.1714, 0.8286, 0.7621, 0.7238], q:[0.6049, 0.3951], qb:[0.7762, 0.4335], phi:[0.4476]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10], [-1]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_7$, $ M_6^2$, $ M_2M_6$, $ M_5M_7$, $ M_2^2$, $ M_5M_6$, $ M_2M_5$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1M_7$, $ M_5\phi_1^2$, $ M_1M_6$, $ M_7q_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1^4$, $ M_6q_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_4M_7$, $ M_1\phi_1^2$, $ M_4M_6$, $ \phi_1^2q_1\tilde{q}_2$ | . | -1 | t^2.17 + t^2.29 + t^2.37 + t^2.49 + t^2.69 + t^3. + t^3.12 + t^3.51 + t^3.94 + t^4.14 + 2*t^4.34 + 2*t^4.46 + t^4.54 + t^4.57 + 2*t^4.66 + t^4.74 + t^4.77 + 2*t^4.86 + 3*t^4.97 + t^5.06 + 2*t^5.17 + 2*t^5.29 + t^5.37 + t^5.4 + t^5.49 + t^5.6 + 2*t^5.69 + 2*t^5.8 - t^6. + t^6.12 + 2*t^6.23 + t^6.31 + 2*t^6.43 + 2*t^6.51 + 4*t^6.63 + t^6.71 + 2*t^6.74 + 2*t^6.83 + t^6.86 + t^6.91 + 3*t^6.94 + 3*t^7.03 + 2*t^7.06 + t^7.11 + 4*t^7.14 + t^7.23 + 3*t^7.26 + 3*t^7.34 + t^7.43 + 5*t^7.46 + 2*t^7.54 + 3*t^7.57 + 3*t^7.66 + t^7.69 + t^7.74 + t^7.77 + 2*t^7.86 + 2*t^7.89 + 3*t^7.97 + t^8.06 + 4*t^8.09 - 2*t^8.17 - t^8.37 + 3*t^8.4 + 2*t^8.52 - t^8.57 + 2*t^8.6 + 3*t^8.72 + 3*t^8.8 + 7*t^8.92 - t^4.34/y - t^6.51/y - t^6.63/y - t^6.71/y - t^7.03/y + t^7.46/y + t^7.54/y + (3*t^7.66)/y + t^7.77/y + (2*t^7.86)/y + (2*t^7.97)/y + (2*t^8.06)/y + (3*t^8.17)/y + (2*t^8.29)/y + t^8.37/y + t^8.4/y + (2*t^8.49)/y + t^8.6/y + t^8.69/y + t^8.8/y - t^8.92/y - t^4.34*y - t^6.51*y - t^6.63*y - t^6.71*y - t^7.03*y + t^7.46*y + t^7.54*y + 3*t^7.66*y + t^7.77*y + 2*t^7.86*y + 2*t^7.97*y + 2*t^8.06*y + 3*t^8.17*y + 2*t^8.29*y + t^8.37*y + t^8.4*y + 2*t^8.49*y + t^8.6*y + t^8.69*y + t^8.8*y - t^8.92*y | t^2.17/g1 + g1^10*t^2.29 + t^2.37/g1^8 + g1^3*t^2.49 + t^2.69/g1^4 + t^3. + g1^11*t^3.12 + t^3.51/g1^3 + g1^12*t^3.94 + g1^5*t^4.14 + (2*t^4.34)/g1^2 + 2*g1^9*t^4.46 + t^4.54/g1^9 + g1^20*t^4.57 + 2*g1^2*t^4.66 + t^4.74/g1^16 + g1^13*t^4.77 + (2*t^4.86)/g1^5 + 3*g1^6*t^4.97 + t^5.06/g1^12 + (2*t^5.17)/g1 + 2*g1^10*t^5.29 + t^5.37/g1^8 + g1^21*t^5.4 + g1^3*t^5.49 + g1^14*t^5.6 + (2*t^5.69)/g1^4 + 2*g1^7*t^5.8 - t^6. + g1^11*t^6.12 + 2*g1^22*t^6.23 + g1^4*t^6.31 + 2*g1^15*t^6.43 + (2*t^6.51)/g1^3 + 4*g1^8*t^6.63 + t^6.71/g1^10 + 2*g1^19*t^6.74 + 2*g1*t^6.83 + g1^30*t^6.86 + t^6.91/g1^17 + 3*g1^12*t^6.94 + (3*t^7.03)/g1^6 + 2*g1^23*t^7.06 + t^7.11/g1^24 + 4*g1^5*t^7.14 + t^7.23/g1^13 + 3*g1^16*t^7.26 + (3*t^7.34)/g1^2 + t^7.43/g1^20 + 5*g1^9*t^7.46 + (2*t^7.54)/g1^9 + 3*g1^20*t^7.57 + 3*g1^2*t^7.66 + g1^31*t^7.69 + t^7.74/g1^16 + g1^13*t^7.77 + (2*t^7.86)/g1^5 + 2*g1^24*t^7.89 + 3*g1^6*t^7.97 + t^8.06/g1^12 + 4*g1^17*t^8.09 - (2*t^8.17)/g1 - t^8.37/g1^8 + 3*g1^21*t^8.4 + 2*g1^32*t^8.52 - t^8.57/g1^15 + 2*g1^14*t^8.6 + 3*g1^25*t^8.72 + 3*g1^7*t^8.8 + 7*g1^18*t^8.92 - t^4.34/(g1^2*y) - t^6.51/(g1^3*y) - (g1^8*t^6.63)/y - t^6.71/(g1^10*y) - t^7.03/(g1^6*y) + (g1^9*t^7.46)/y + t^7.54/(g1^9*y) + (3*g1^2*t^7.66)/y + (g1^13*t^7.77)/y + (2*t^7.86)/(g1^5*y) + (2*g1^6*t^7.97)/y + (2*t^8.06)/(g1^12*y) + (3*t^8.17)/(g1*y) + (2*g1^10*t^8.29)/y + t^8.37/(g1^8*y) + (g1^21*t^8.4)/y + (2*g1^3*t^8.49)/y + (g1^14*t^8.6)/y + t^8.69/(g1^4*y) + (g1^7*t^8.8)/y - (g1^18*t^8.92)/y - (t^4.34*y)/g1^2 - (t^6.51*y)/g1^3 - g1^8*t^6.63*y - (t^6.71*y)/g1^10 - (t^7.03*y)/g1^6 + g1^9*t^7.46*y + (t^7.54*y)/g1^9 + 3*g1^2*t^7.66*y + g1^13*t^7.77*y + (2*t^7.86*y)/g1^5 + 2*g1^6*t^7.97*y + (2*t^8.06*y)/g1^12 + (3*t^8.17*y)/g1 + 2*g1^10*t^8.29*y + (t^8.37*y)/g1^8 + g1^21*t^8.4*y + 2*g1^3*t^8.49*y + g1^14*t^8.6*y + (t^8.69*y)/g1^4 + g1^7*t^8.8*y - g1^18*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 5024 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.7199 | 0.9247 | 0.7785 | [X:[1.3831], M:[1.0, 0.787, 0.6169, 1.1701, 0.8299, 0.7662, 0.7234, 0.6805], q:[0.6065, 0.3935], qb:[0.7766, 0.4364], phi:[0.4468]] | t^2.04 + t^2.17 + t^2.3 + t^2.36 + t^2.49 + t^2.68 + t^3. + t^3.13 + t^3.51 + t^4.08 + t^4.15 + t^4.21 + 3*t^4.34 + t^4.4 + 2*t^4.47 + 2*t^4.53 + t^4.6 + 2*t^4.66 + 2*t^4.72 + t^4.79 + 2*t^4.85 + 3*t^4.98 + 2*t^5.04 + 3*t^5.17 + 2*t^5.3 + t^5.36 + t^5.43 + t^5.49 + t^5.55 + t^5.62 + 2*t^5.68 + 2*t^5.81 - t^6. - t^4.34/y - t^4.34*y | detail | |
| 5022 | $M_1q_1q_2$ + $ 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ | 0.7049 | 0.8924 | 0.7899 | [X:[1.4031], M:[1.0, 0.7551, 0.5969, 1.1582, 0.8418, 0.8061, 0.7194, 0.9133], q:[0.6224, 0.3776], qb:[0.7806, 0.4643], phi:[0.4388]] | t^2.16 + t^2.27 + t^2.42 + t^2.53 + t^2.63 + t^2.74 + t^3. + t^3.47 + t^4.1 + t^4.21 + 2*t^4.32 + t^4.42 + t^4.53 + 2*t^4.58 + 2*t^4.68 + 2*t^4.79 + t^4.84 + 2*t^4.9 + t^4.94 + t^5.01 + 3*t^5.05 + 3*t^5.16 + 2*t^5.27 + t^5.37 + t^5.42 + t^5.48 + 2*t^5.63 + t^5.74 + t^5.89 - t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2092 | 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_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3X_1$ | 0.6791 | 0.8471 | 0.8017 | [X:[1.3804], M:[1.0, 0.7914, 0.6196, 1.1718, 0.8282, 0.7608], q:[0.6043, 0.3957], qb:[0.7761, 0.4326], phi:[0.4478]] | t^2.28 + t^2.37 + t^2.48 + t^2.69 + t^3. + t^3.11 + t^3.52 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.45 + t^4.56 + t^4.66 + t^4.75 + t^4.77 + t^4.86 + 3*t^4.97 + t^5.06 + t^5.17 + t^5.28 + t^5.37 + t^5.39 + t^5.48 + t^5.6 + t^5.69 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*y | detail |