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 |
|---|---|---|---|---|---|---|---|---|---|
| 4344 | 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_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_5M_7$ | 0.7039 | 0.8673 | 0.8115 | [X:[], M:[1.0512, 1.0256, 0.8975, 0.8975, 1.0512, 1.0, 0.9488, 0.9488], q:[0.5256, 0.4231], qb:[0.5769, 0.5256], phi:[0.4872]] | [X:[], M:[[4], [2], [-8], [-8], [4], [0], [-4], [-4]], q:[[2], [-6]], qb:[[6], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_7$, $ M_8$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_7$, $ M_4M_7$, $ M_3M_8$, $ M_4M_8$, $ M_3M_6$, $ M_4M_6$, $ M_7^2$, $ M_7M_8$, $ M_8^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ M_6M_7$, $ M_6M_8$, $ M_2M_7$, $ M_2M_8$ | $M_5M_8$ | -3 | 2*t^2.69 + 2*t^2.85 + t^3. + t^3.08 + t^3.15 + t^4. + 2*t^4.31 + t^4.46 + 3*t^4.62 + 2*t^4.77 + t^4.92 + 3*t^5.39 + 3*t^5.54 + 3*t^5.69 + 2*t^5.77 + 2*t^5.85 + 2*t^5.92 - 3*t^6. + t^6.08 - t^6.15 + t^6.23 - t^6.31 - t^6.46 + 2*t^6.69 + 2*t^6.85 + 4*t^7. + 4*t^7.15 + 6*t^7.31 + 6*t^7.46 + 3*t^7.62 + 3*t^7.77 + t^8. + 4*t^8.08 + 4*t^8.23 + 2*t^8.31 + 3*t^8.39 + 4*t^8.46 + 3*t^8.54 + 6*t^8.62 - 7*t^8.69 + 5*t^8.77 - 8*t^8.85 + 7*t^8.92 - t^4.46/y - (2*t^7.15)/y + (2*t^7.77)/y + t^8.39/y + (4*t^8.54)/y + (3*t^8.69)/y + (2*t^8.77)/y + (4*t^8.85)/y + (2*t^8.92)/y - t^4.46*y - 2*t^7.15*y + 2*t^7.77*y + t^8.39*y + 4*t^8.54*y + 3*t^8.69*y + 2*t^8.77*y + 4*t^8.85*y + 2*t^8.92*y | (2*t^2.69)/g1^8 + (2*t^2.85)/g1^4 + t^3. + g1^2*t^3.08 + g1^4*t^3.15 + t^4./g1^13 + (2*t^4.31)/g1^5 + t^4.46/g1 + 3*g1^3*t^4.62 + 2*g1^7*t^4.77 + g1^11*t^4.92 + (3*t^5.39)/g1^16 + (3*t^5.54)/g1^12 + (3*t^5.69)/g1^8 + (2*t^5.77)/g1^6 + (2*t^5.85)/g1^4 + (2*t^5.92)/g1^2 - 3*t^6. + g1^2*t^6.08 - g1^4*t^6.15 + g1^6*t^6.23 - g1^8*t^6.31 - g1^12*t^6.46 + (2*t^6.69)/g1^21 + (2*t^6.85)/g1^17 + (4*t^7.)/g1^13 + (4*t^7.15)/g1^9 + (6*t^7.31)/g1^5 + (6*t^7.46)/g1 + 3*g1^3*t^7.62 + 3*g1^7*t^7.77 + t^8./g1^26 + (4*t^8.08)/g1^24 + (4*t^8.23)/g1^20 + (2*t^8.31)/g1^18 + (3*t^8.39)/g1^16 + (4*t^8.46)/g1^14 + (3*t^8.54)/g1^12 + (6*t^8.62)/g1^10 - (7*t^8.69)/g1^8 + (5*t^8.77)/g1^6 - (8*t^8.85)/g1^4 + (7*t^8.92)/g1^2 - t^4.46/(g1*y) - (2*t^7.15)/(g1^9*y) + (2*g1^7*t^7.77)/y + t^8.39/(g1^16*y) + (4*t^8.54)/(g1^12*y) + (3*t^8.69)/(g1^8*y) + (2*t^8.77)/(g1^6*y) + (4*t^8.85)/(g1^4*y) + (2*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (2*t^7.15*y)/g1^9 + 2*g1^7*t^7.77*y + (t^8.39*y)/g1^16 + (4*t^8.54*y)/g1^12 + (3*t^8.69*y)/g1^8 + (2*t^8.77*y)/g1^6 + (4*t^8.85*y)/g1^4 + (2*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 |
|---|---|---|---|---|---|---|---|---|
| 5793 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_5M_7$ + $ M_2M_9$ | 0.7064 | 0.8722 | 0.8098 | [X:[], M:[1.0559, 1.0279, 0.8882, 0.8882, 1.0559, 1.0, 0.9441, 0.9441, 0.9721], q:[0.5279, 0.4162], qb:[0.5838, 0.5279], phi:[0.486]] | 2*t^2.66 + 2*t^2.83 + t^2.92 + t^3. + t^3.17 + t^3.95 + 2*t^4.29 + t^4.46 + 3*t^4.63 + 2*t^4.79 + t^4.96 + 3*t^5.33 + 3*t^5.5 + 2*t^5.58 + 3*t^5.66 + 2*t^5.75 + 3*t^5.83 + t^5.92 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 5791 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_5M_7$ + $ M_3M_9$ | 0.6961 | 0.8529 | 0.8162 | [X:[], M:[1.0326, 1.0163, 0.9347, 0.9347, 1.0326, 1.0, 0.9674, 0.9674, 1.0653], q:[0.5163, 0.4511], qb:[0.5489, 0.5163], phi:[0.4918]] | t^2.8 + 2*t^2.9 + t^3. + t^3.05 + t^3.1 + t^3.2 + t^4.18 + 2*t^4.38 + t^4.48 + 3*t^4.57 + 2*t^4.67 + t^4.77 + t^5.61 + t^5.71 + 2*t^5.8 + t^5.85 + t^5.9 + 2*t^5.95 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 5794 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_5M_7$ + $ M_5M_9$ | 0.709 | 0.8775 | 0.808 | [X:[], M:[1.0603, 1.0301, 0.8795, 0.8795, 1.0603, 1.0, 0.9397, 0.9397, 0.9397], q:[0.5301, 0.4096], qb:[0.5904, 0.5301], phi:[0.4849]] | 2*t^2.64 + 3*t^2.82 + t^3. + t^3.09 + t^3.91 + 2*t^4.27 + t^4.45 + 3*t^4.64 + 2*t^4.82 + t^5. + 3*t^5.28 + 5*t^5.46 + 6*t^5.64 + 2*t^5.73 + t^5.82 + 3*t^5.91 - 5*t^6. - t^4.45/y - t^4.45*y | detail | |
| 5792 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ + $ M_5M_7$ + $ M_7M_9$ | 0.6995 | 0.859 | 0.8143 | [X:[], M:[1.0418, 1.0209, 0.9163, 0.9163, 1.0418, 1.0, 0.9582, 0.9582, 1.0418], q:[0.5209, 0.4373], qb:[0.5627, 0.5209], phi:[0.4895]] | 2*t^2.75 + t^2.87 + t^3. + t^3.06 + 2*t^3.13 + t^4.09 + 2*t^4.34 + t^4.47 + 3*t^4.59 + 2*t^4.72 + t^4.85 + 3*t^5.5 + t^5.62 + t^5.75 + 2*t^5.81 + 3*t^5.87 + t^5.94 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2349 | 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_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ M_1M_8$ | 0.7136 | 0.8827 | 0.8084 | [X:[], M:[1.0914, 1.0457, 0.8172, 0.9603, 0.9483, 1.0, 0.9086, 0.9086], q:[0.4742, 0.4344], qb:[0.5656, 0.6173], phi:[0.4771]] | t^2.45 + 2*t^2.73 + t^2.84 + t^2.88 + t^3. + t^3.14 + t^4.04 + t^4.16 + t^4.28 + t^4.43 + t^4.55 + t^4.59 + t^4.71 + t^4.82 + t^4.9 + t^4.98 + t^5.13 + 2*t^5.18 + t^5.3 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.59 + t^5.61 + t^5.69 + 2*t^5.73 + t^5.76 + 2*t^5.86 + t^5.98 - 3*t^6. - t^4.43/y - t^4.43*y | detail |