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 |
|---|---|---|---|---|---|---|---|---|---|
| 1896 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6103 | 0.7849 | 0.7775 | [X:[], M:[0.9748, 1.0757, 1.0252, 0.9243, 0.7689], q:[0.7437, 0.2816], qb:[0.4369, 0.4874], phi:[0.5126]] | [X:[], M:[[4], [-12], [-4], [12], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4^2$, $ q_1q_2\tilde{q}_1^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | $M_4\phi_1q_2^2$, $ q_1q_2\tilde{q}_2^2$ | 0 | t^2.16 + 2*t^2.31 + t^2.77 + 2*t^3.08 + t^3.23 + t^3.54 + t^3.69 + t^3.84 + t^4.16 + 2*t^4.31 + 3*t^4.46 + 3*t^4.61 + t^4.93 + 2*t^5.08 + 2*t^5.23 + 4*t^5.38 + t^5.53 + t^5.55 + t^5.7 + 3*t^5.85 + 2*t^6.15 + 2*t^6.3 + 2*t^6.31 + t^6.45 + 3*t^6.47 + 4*t^6.62 + 4*t^6.77 + 4*t^6.92 + t^6.93 + 2*t^7.08 + 4*t^7.23 + 4*t^7.39 + 3*t^7.54 + 5*t^7.69 + 2*t^7.7 + t^7.84 + 4*t^7.85 + 2*t^8. + t^8.16 - t^8.31 + 2*t^8.32 + 3*t^8.46 + 3*t^8.47 + 2*t^8.61 + 6*t^8.62 + t^8.76 + 3*t^8.77 + 3*t^8.92 - t^4.54/y - t^6.84/y + (3*t^7.46)/y + t^7.93/y + (2*t^8.08)/y + (3*t^8.23)/y + (5*t^8.38)/y + (2*t^8.53)/y + t^8.7/y + (5*t^8.85)/y - t^4.54*y - t^6.84*y + 3*t^7.46*y + t^7.93*y + 2*t^8.08*y + 3*t^8.23*y + 5*t^8.38*y + 2*t^8.53*y + t^8.7*y + 5*t^8.85*y | g1^5*t^2.16 + (2*t^2.31)/g1^3 + g1^12*t^2.77 + (2*t^3.08)/g1^4 + t^3.23/g1^12 + g1^11*t^3.54 + g1^3*t^3.69 + t^3.84/g1^5 + g1^18*t^4.16 + 2*g1^10*t^4.31 + 3*g1^2*t^4.46 + (3*t^4.61)/g1^6 + g1^17*t^4.93 + 2*g1^9*t^5.08 + 2*g1*t^5.23 + (4*t^5.38)/g1^7 + t^5.53/g1^15 + g1^24*t^5.55 + g1^16*t^5.7 + 3*g1^8*t^5.85 + (2*t^6.15)/g1^8 + (2*t^6.3)/g1^16 + 2*g1^23*t^6.31 + t^6.45/g1^24 + 3*g1^15*t^6.47 + 4*g1^7*t^6.62 + (4*t^6.77)/g1 + (4*t^6.92)/g1^9 + g1^30*t^6.93 + 2*g1^22*t^7.08 + 4*g1^14*t^7.23 + 4*g1^6*t^7.39 + (3*t^7.54)/g1^2 + (5*t^7.69)/g1^10 + 2*g1^29*t^7.7 + t^7.84/g1^18 + 4*g1^21*t^7.85 + 2*g1^13*t^8. + g1^5*t^8.16 - t^8.31/g1^3 + 2*g1^36*t^8.32 + (3*t^8.46)/g1^11 + 3*g1^28*t^8.47 + (2*t^8.61)/g1^19 + 6*g1^20*t^8.62 + t^8.76/g1^27 + 3*g1^12*t^8.77 + 3*g1^4*t^8.92 - t^4.54/(g1^2*y) - t^6.84/(g1^5*y) + (3*g1^2*t^7.46)/y + (g1^17*t^7.93)/y + (2*g1^9*t^8.08)/y + (3*g1*t^8.23)/y + (5*t^8.38)/(g1^7*y) + (2*t^8.53)/(g1^15*y) + (g1^16*t^8.7)/y + (5*g1^8*t^8.85)/y - (t^4.54*y)/g1^2 - (t^6.84*y)/g1^5 + 3*g1^2*t^7.46*y + g1^17*t^7.93*y + 2*g1^9*t^8.08*y + 3*g1*t^8.23*y + (5*t^8.38*y)/g1^7 + (2*t^8.53*y)/g1^15 + g1^16*t^8.7*y + 5*g1^8*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 2920 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ | 0.5547 | 0.7202 | 0.7703 | [X:[], M:[1.0588, 0.8235, 0.9412, 1.1765, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | 2*t^2.12 + 2*t^2.47 + 2*t^2.82 + 2*t^3.53 + t^3.88 + 4*t^4.24 + 4*t^4.59 + 7*t^4.94 + 5*t^5.29 + 4*t^5.65 + t^6. - t^4.41/y - t^4.41*y | detail | {a: 2565/4624, c: 1665/2312, M1: 18/17, M2: 14/17, M3: 16/17, M4: 20/17, M5: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17} |
| 2921 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6285 | 0.8175 | 0.7689 | [X:[], M:[0.9769, 1.0694, 1.0231, 0.9306, 0.7673, 0.7673], q:[0.7442, 0.2789], qb:[0.4422, 0.4884], phi:[0.5116]] | t^2.16 + 3*t^2.3 + t^2.79 + 2*t^3.07 + t^3.21 + t^3.56 + t^3.84 + t^4.19 + 2*t^4.33 + 4*t^4.47 + 6*t^4.6 + t^4.96 + 3*t^5.09 + 2*t^5.23 + 6*t^5.37 + 2*t^5.51 + t^5.58 + t^5.72 + 3*t^5.86 - 2*t^6. - t^4.53/y - t^4.53*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 |
|---|---|---|---|---|---|---|---|---|---|
| 541 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6135 | 0.7921 | 0.7745 | [X:[], M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | 2*t^2.2 + t^2.25 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.53 + t^3.59 + t^3.75 + t^4.18 + t^4.23 + t^4.28 + 3*t^4.39 + 2*t^4.45 + t^4.5 + 2*t^4.87 + t^4.92 + 4*t^5.3 + t^5.35 + 2*t^5.36 + t^5.52 + 2*t^5.73 + 4*t^5.78 + t^5.84 + t^5.95 - 2*t^6. - t^4.55/y - t^4.55*y | detail |