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 |
|---|---|---|---|---|---|---|---|---|---|
| 1932 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ | 0.6381 | 0.7898 | 0.8079 | [X:[1.5044], M:[0.7863, 0.9229, 1.2137, 0.4956, 0.7863], q:[0.4273, 0.7863], qb:[0.359, 0.7181], phi:[0.4273]] | [X:[[7]], M:[[1], [-9], [-1], [-7], [1]], q:[[-2], [1]], qb:[[3], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$ | $M_5\phi_1q_1\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$ | 1 | 2*t^2.36 + t^2.56 + t^2.77 + 3*t^3.44 + t^3.64 + t^3.85 + 2*t^4.51 + 4*t^4.72 + t^4.92 + 2*t^5.13 + t^5.33 + t^5.54 + t^5.59 + 5*t^5.8 + t^6. + 2*t^6.2 + t^6.41 + t^6.61 + 6*t^6.87 + 4*t^7.08 + 2*t^7.28 + 3*t^7.49 + 3*t^7.69 + 2*t^7.9 + 5*t^7.95 + t^8.1 + 7*t^8.15 + t^8.31 - 3*t^8.36 + t^8.56 - t^8.77 + t^8.97 - t^4.28/y - t^6.64/y - t^6.85/y - t^7.05/y + t^7.51/y + (2*t^7.72)/y + (3*t^7.92)/y + (2*t^8.13)/y + t^8.33/y + (6*t^8.8)/y - t^4.28*y - t^6.64*y - t^6.85*y - t^7.05*y + t^7.51*y + 2*t^7.72*y + 3*t^7.92*y + 2*t^8.13*y + t^8.33*y + 6*t^8.8*y | 2*g1*t^2.36 + t^2.56/g1^4 + t^2.77/g1^9 + 3*g1^4*t^3.44 + t^3.64/g1 + t^3.85/g1^6 + 2*g1^7*t^4.51 + 4*g1^2*t^4.72 + t^4.92/g1^3 + (2*t^5.13)/g1^8 + t^5.33/g1^13 + t^5.54/g1^18 + g1^10*t^5.59 + 5*g1^5*t^5.8 + t^6. + (2*t^6.2)/g1^5 + t^6.41/g1^10 + t^6.61/g1^15 + 6*g1^8*t^6.87 + 4*g1^3*t^7.08 + (2*t^7.28)/g1^2 + (3*t^7.49)/g1^7 + (3*t^7.69)/g1^12 + (2*t^7.9)/g1^17 + 5*g1^11*t^7.95 + t^8.1/g1^22 + 7*g1^6*t^8.15 + t^8.31/g1^27 - 3*g1*t^8.36 + t^8.56/g1^4 - t^8.77/g1^9 + t^8.97/g1^14 - t^4.28/(g1^2*y) - t^6.64/(g1*y) - t^6.85/(g1^6*y) - t^7.05/(g1^11*y) + (g1^7*t^7.51)/y + (2*g1^2*t^7.72)/y + (3*t^7.92)/(g1^3*y) + (2*t^8.13)/(g1^8*y) + t^8.33/(g1^13*y) + (6*g1^5*t^8.8)/y - (t^4.28*y)/g1^2 - (t^6.64*y)/g1 - (t^6.85*y)/g1^6 - (t^7.05*y)/g1^11 + g1^7*t^7.51*y + 2*g1^2*t^7.72*y + (3*t^7.92*y)/g1^3 + (2*t^8.13*y)/g1^8 + (t^8.33*y)/g1^13 + 6*g1^5*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 2965 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_2M_6$ | 0.6351 | 0.7891 | 0.8049 | [X:[1.4328], M:[0.7761, 1.015, 1.2239, 0.5672, 0.7761, 0.985], q:[0.4478, 0.7761], qb:[0.3283, 0.6567], phi:[0.4478]] | 2*t^2.33 + t^2.69 + t^2.96 + 3*t^3.31 + t^3.67 + t^4.03 + 2*t^4.3 + 4*t^4.66 + t^5.01 + 3*t^5.28 + 6*t^5.64 + t^5.91 + t^6. - t^4.34/y - t^4.34*y | detail | |
| 2964 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6554 | 0.8206 | 0.7987 | [X:[1.4999], M:[0.7857, 0.9287, 1.2143, 0.5001, 0.7857, 0.7857], q:[0.4286, 0.7857], qb:[0.3571, 0.7142], phi:[0.4286]] | 3*t^2.36 + t^2.57 + t^2.79 + 3*t^3.43 + t^3.86 + 2*t^4.5 + 7*t^4.71 + 2*t^4.93 + 3*t^5.14 + t^5.36 + 2*t^5.57 + 8*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 2966 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1^2$ | 0.6583 | 0.8285 | 0.7947 | [X:[1.4934], M:[0.7848, 0.937, 1.2152, 0.5066, 0.7848, 0.7086], q:[0.4305, 0.7848], qb:[0.3543, 0.7086], phi:[0.4305]] | t^2.13 + 2*t^2.35 + t^2.58 + t^2.81 + 3*t^3.42 + t^3.65 + t^4.25 + 4*t^4.48 + 5*t^4.71 + 2*t^4.94 + 2*t^5.17 + t^5.39 + 4*t^5.54 + t^5.62 + 6*t^5.77 + t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 579 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7283 | 0.8957 | 0.8131 | [X:[], M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.92 + 2*t^3.31 + t^4.04 + t^4.27 + t^4.42 + t^4.5 + t^4.62 + 2*t^4.65 + t^4.77 + t^4.8 + t^4.89 + t^4.92 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.27 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 - 2*t^6. - t^4.35/y - t^4.35*y | detail |