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 |
|---|---|---|---|---|---|---|---|---|---|
| 1909 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6992 | 0.8783 | 0.796 | [X:[], M:[0.6856, 1.1048, 1.1048, 0.6856, 0.7904], q:[0.7762, 0.5382], qb:[0.4618, 0.4334], phi:[0.4476]] | [X:[], M:[[-12], [4], [4], [-12], [-8]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ M_2M_4$, $ M_3M_4$, $ M_5q_2\tilde{q}_1$, $ M_2M_5$, $ M_3M_5$, $ M_4q_1\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$ | . | -2 | 2*t^2.06 + t^2.37 + t^2.91 + t^3. + 2*t^3.31 + t^3.71 + t^4.03 + 4*t^4.11 + t^4.26 + t^4.34 + 2*t^4.43 + t^4.57 + t^4.74 + 2*t^4.97 + 2*t^5.06 + t^5.29 + 5*t^5.37 + t^5.69 + t^5.77 + t^5.83 - 2*t^6. + 2*t^6.09 + 6*t^6.17 + t^6.23 + 2*t^6.31 + 2*t^6.4 + 4*t^6.48 + 5*t^6.63 + t^6.71 + 2*t^6.8 + 4*t^7.03 + 4*t^7.11 + t^7.17 - t^7.26 + 2*t^7.34 + 9*t^7.43 + t^7.49 + t^7.57 + 3*t^7.74 + 2*t^7.83 + 2*t^7.89 - t^7.97 - 3*t^8.06 + 3*t^8.14 + 9*t^8.23 + t^8.29 + t^8.37 + 4*t^8.46 + 6*t^8.54 + 8*t^8.69 + t^8.74 + 2*t^8.77 + t^8.83 + 4*t^8.86 - 2*t^8.91 - t^4.34/y - (2*t^6.4)/y - t^6.71/y + t^7.03/y + t^7.11/y + (2*t^7.43)/y - t^7.66/y + (3*t^7.97)/y + (2*t^8.06)/y + (3*t^8.29)/y + (5*t^8.37)/y - (3*t^8.46)/y + (2*t^8.69)/y + t^8.91/y - t^4.34*y - 2*t^6.4*y - t^6.71*y + t^7.03*y + t^7.11*y + 2*t^7.43*y - t^7.66*y + 3*t^7.97*y + 2*t^8.06*y + 3*t^8.29*y + 5*t^8.37*y - 3*t^8.46*y + 2*t^8.69*y + t^8.91*y | (2*t^2.06)/g1^12 + t^2.37/g1^8 + g1^18*t^2.91 + t^3. + 2*g1^4*t^3.31 + t^3.71/g1^10 + t^4.03/g1^6 + (4*t^4.11)/g1^24 + g1^16*t^4.26 + t^4.34/g1^2 + (2*t^4.43)/g1^20 + g1^20*t^4.57 + t^4.74/g1^16 + 2*g1^6*t^4.97 + (2*t^5.06)/g1^12 + g1^10*t^5.29 + (5*t^5.37)/g1^8 + t^5.69/g1^4 + t^5.77/g1^22 + g1^36*t^5.83 - 2*t^6. + (2*t^6.09)/g1^18 + (6*t^6.17)/g1^36 + g1^22*t^6.23 + 2*g1^4*t^6.31 + (2*t^6.4)/g1^14 + (4*t^6.48)/g1^32 + 5*g1^8*t^6.63 + t^6.71/g1^10 + (2*t^6.8)/g1^28 + (4*t^7.03)/g1^6 + (4*t^7.11)/g1^24 + g1^34*t^7.17 - g1^16*t^7.26 + (2*t^7.34)/g1^2 + (9*t^7.43)/g1^20 + g1^38*t^7.49 + g1^20*t^7.57 + (3*t^7.74)/g1^16 + (2*t^7.83)/g1^34 + 2*g1^24*t^7.89 - g1^6*t^7.97 - (3*t^8.06)/g1^12 + (3*t^8.14)/g1^30 + (9*t^8.23)/g1^48 + g1^10*t^8.29 + t^8.37/g1^8 + (4*t^8.46)/g1^26 + (6*t^8.54)/g1^44 + (8*t^8.69)/g1^4 + g1^54*t^8.74 + (2*t^8.77)/g1^22 + g1^36*t^8.83 + (4*t^8.86)/g1^40 - 2*g1^18*t^8.91 - t^4.34/(g1^2*y) - (2*t^6.4)/(g1^14*y) - t^6.71/(g1^10*y) + t^7.03/(g1^6*y) + t^7.11/(g1^24*y) + (2*t^7.43)/(g1^20*y) - (g1^2*t^7.66)/y + (3*g1^6*t^7.97)/y + (2*t^8.06)/(g1^12*y) + (3*g1^10*t^8.29)/y + (5*t^8.37)/(g1^8*y) - (3*t^8.46)/(g1^26*y) + (2*t^8.69)/(g1^4*y) + (g1^18*t^8.91)/y - (t^4.34*y)/g1^2 - (2*t^6.4*y)/g1^14 - (t^6.71*y)/g1^10 + (t^7.03*y)/g1^6 + (t^7.11*y)/g1^24 + (2*t^7.43*y)/g1^20 - g1^2*t^7.66*y + 3*g1^6*t^7.97*y + (2*t^8.06*y)/g1^12 + 3*g1^10*t^8.29*y + (5*t^8.37*y)/g1^8 - (3*t^8.46*y)/g1^26 + (2*t^8.69*y)/g1^4 + g1^18*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 2941 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6951 | 0.8712 | 0.7978 | [X:[], M:[0.7273, 1.0909, 1.0909, 0.7273, 0.8182], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 2*t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.82 + 2*t^4.09 + 6*t^4.36 + 2*t^4.64 + 3*t^4.91 + 3*t^5.18 + 6*t^5.45 + t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 7401/10648, c: 18553/21296, M1: 8/11, M2: 12/11, M3: 12/11, M4: 8/11, M5: 9/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 554 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6822 | 0.8481 | 0.8045 | [X:[], M:[0.6938, 1.1021, 1.1021, 0.6938], q:[0.7755, 0.5307], qb:[0.4693, 0.4286], phi:[0.449]] | 2*t^2.08 + t^2.88 + t^3. + 2*t^3.31 + t^3.61 + t^3.73 + t^4.04 + 4*t^4.16 + t^4.22 + t^4.35 + t^4.53 + 2*t^4.96 + 2*t^5.08 + 4*t^5.39 + t^5.69 + t^5.76 + t^5.82 - 2*t^6. - t^4.35/y - t^4.35*y | detail |