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 |
|---|---|---|---|---|---|---|---|---|---|
| 3061 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.6931 | 0.8774 | 0.79 | [X:[], M:[0.8369, 1.0816, 1.0, 1.1631, 0.6738, 0.8369, 0.7553], q:[0.3927, 0.7704], qb:[0.4442, 0.5558], phi:[0.4592]] | [X:[], M:[[-8], [4], [0], [8], [-16], [-8], [-12]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_1$, $ M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_5M_6$, $ M_7^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_7$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_1^2$, $ M_3M_5$, $ M_1M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_7q_1\tilde{q}_2$, $ M_2M_5$, $ M_3M_7$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_6$, $ M_2M_7$, $ q_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_2M_6$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_7q_2\tilde{q}_1$ | . | -2 | t^2.02 + t^2.27 + 2*t^2.51 + t^2.85 + t^3. + t^3.24 + t^3.64 + t^3.89 + 2*t^4.04 + t^4.22 + t^4.29 + t^4.38 + 3*t^4.53 + t^4.71 + 2*t^4.78 + t^4.87 + 4*t^5.02 + t^5.11 + 2*t^5.27 + 2*t^5.36 + 2*t^5.51 + t^5.69 + 2*t^5.76 + 2*t^5.91 - 2*t^6. + 2*t^6.06 + t^6.09 + 2*t^6.15 + t^6.24 + 2*t^6.31 - t^6.34 + 2*t^6.4 + t^6.49 + 5*t^6.55 + t^6.64 + 2*t^6.73 + 3*t^6.8 + 4*t^6.89 - t^6.98 + 6*t^7.04 + t^7.07 + 2*t^7.22 + 6*t^7.29 + t^7.38 + 6*t^7.53 + t^7.56 + 2*t^7.62 + t^7.69 + 4*t^7.78 + t^7.87 + 2*t^7.93 + t^7.96 + t^8.02 + 3*t^8.09 + t^8.18 + t^8.2 + 2*t^8.27 + 2*t^8.33 - t^8.36 + 5*t^8.42 - 5*t^8.51 + t^8.54 + 6*t^8.57 + t^8.6 + 3*t^8.66 + 3*t^8.76 + 5*t^8.82 - 5*t^8.85 + 5*t^8.91 + 2*t^8.94 - t^4.38/y - t^6.4/y - t^6.64/y - t^6.89/y + t^7.29/y + (2*t^7.53)/y + (2*t^7.78)/y + (2*t^7.87)/y + (2*t^8.02)/y + (2*t^8.11)/y + (2*t^8.27)/y + (3*t^8.36)/y - t^8.42/y + (3*t^8.51)/y + (2*t^8.76)/y + t^8.85/y - t^4.38*y - t^6.4*y - t^6.64*y - t^6.89*y + t^7.29*y + 2*t^7.53*y + 2*t^7.78*y + 2*t^7.87*y + 2*t^8.02*y + 2*t^8.11*y + 2*t^8.27*y + 3*t^8.36*y - t^8.42*y + 3*t^8.51*y + 2*t^8.76*y + t^8.85*y | t^2.02/g1^16 + t^2.27/g1^12 + (2*t^2.51)/g1^8 + g1^22*t^2.85 + t^3. + g1^4*t^3.24 + t^3.64/g1^14 + t^3.89/g1^10 + (2*t^4.04)/g1^32 + g1^20*t^4.22 + t^4.29/g1^28 + t^4.38/g1^2 + (3*t^4.53)/g1^24 + g1^28*t^4.71 + (2*t^4.78)/g1^20 + g1^6*t^4.87 + (4*t^5.02)/g1^16 + g1^10*t^5.11 + (2*t^5.27)/g1^12 + 2*g1^14*t^5.36 + (2*t^5.51)/g1^8 + g1^44*t^5.69 + (2*t^5.76)/g1^4 + (2*t^5.91)/g1^26 - 2*t^6. + (2*t^6.06)/g1^48 + g1^26*t^6.09 + (2*t^6.15)/g1^22 + g1^4*t^6.24 + (2*t^6.31)/g1^44 - g1^30*t^6.34 + (2*t^6.4)/g1^18 + g1^8*t^6.49 + (5*t^6.55)/g1^40 + t^6.64/g1^14 + 2*g1^12*t^6.73 + (3*t^6.8)/g1^36 + (4*t^6.89)/g1^10 - g1^16*t^6.98 + (6*t^7.04)/g1^32 + g1^42*t^7.07 + 2*g1^20*t^7.22 + (6*t^7.29)/g1^28 + t^7.38/g1^2 + (6*t^7.53)/g1^24 + g1^50*t^7.56 + 2*g1^2*t^7.62 + t^7.69/g1^46 + (4*t^7.78)/g1^20 + g1^6*t^7.87 + (2*t^7.93)/g1^42 + g1^32*t^7.96 + t^8.02/g1^16 + (3*t^8.09)/g1^64 + t^8.18/g1^38 + g1^36*t^8.2 + (2*t^8.27)/g1^12 + (2*t^8.33)/g1^60 - g1^14*t^8.36 + (5*t^8.42)/g1^34 - (5*t^8.51)/g1^8 + g1^66*t^8.54 + (6*t^8.57)/g1^56 + g1^18*t^8.6 + (3*t^8.66)/g1^30 + (3*t^8.76)/g1^4 + (5*t^8.82)/g1^52 - 5*g1^22*t^8.85 + (5*t^8.91)/g1^26 + 2*g1^48*t^8.94 - t^4.38/(g1^2*y) - t^6.4/(g1^18*y) - t^6.64/(g1^14*y) - t^6.89/(g1^10*y) + t^7.29/(g1^28*y) + (2*t^7.53)/(g1^24*y) + (2*t^7.78)/(g1^20*y) + (2*g1^6*t^7.87)/y + (2*t^8.02)/(g1^16*y) + (2*g1^10*t^8.11)/y + (2*t^8.27)/(g1^12*y) + (3*g1^14*t^8.36)/y - t^8.42/(g1^34*y) + (3*t^8.51)/(g1^8*y) + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.85)/y - (t^4.38*y)/g1^2 - (t^6.4*y)/g1^18 - (t^6.64*y)/g1^14 - (t^6.89*y)/g1^10 + (t^7.29*y)/g1^28 + (2*t^7.53*y)/g1^24 + (2*t^7.78*y)/g1^20 + 2*g1^6*t^7.87*y + (2*t^8.02*y)/g1^16 + 2*g1^10*t^8.11*y + (2*t^8.27*y)/g1^12 + 3*g1^14*t^8.36*y - (t^8.42*y)/g1^34 + (3*t^8.51*y)/g1^8 + (2*t^8.76*y)/g1^4 + g1^22*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 |
|---|---|---|---|---|---|---|---|---|
| 4951 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.7136 | 0.9163 | 0.7788 | [X:[], M:[0.8383, 1.0809, 1.0, 1.1617, 0.6765, 0.8383, 0.7574, 0.7022], q:[0.3915, 0.7702], qb:[0.4468, 0.5532], phi:[0.4596]] | t^2.03 + t^2.11 + t^2.27 + 2*t^2.51 + t^2.83 + t^3. + t^3.24 + t^3.65 + 2*t^4.06 + t^4.14 + 2*t^4.21 + t^4.3 + 2*t^4.38 + 3*t^4.54 + 2*t^4.62 + t^4.7 + 2*t^4.79 + t^4.86 + t^4.94 + 4*t^5.03 + 2*t^5.11 + 2*t^5.27 + 3*t^5.35 + 2*t^5.51 + t^5.67 + 3*t^5.76 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2014 | 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ \phi_1q_2^2$ | 0.6744 | 0.8431 | 0.7999 | [X:[], M:[0.8409, 1.0795, 1.0, 1.1591, 0.6819, 0.8409], q:[0.3892, 0.7699], qb:[0.4517, 0.5483], phi:[0.4602]] | t^2.05 + 2*t^2.52 + t^2.81 + t^3. + t^3.24 + t^3.66 + t^3.72 + t^3.9 + 2*t^4.09 + t^4.19 + t^4.38 + 2*t^4.57 + t^4.67 + t^4.86 + 4*t^5.05 + t^5.28 + 2*t^5.34 + t^5.52 + t^5.62 + 3*t^5.76 + t^5.95 - 2*t^6. - t^4.38/y - t^4.38*y | detail |