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 |
|---|---|---|---|---|---|---|---|---|---|
| 4226 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ | 0.6802 | 0.8587 | 0.7921 | [X:[], M:[1.1435, 1.0949, 0.9294, 0.8565, 0.691, 1.0949, 0.7153, 0.8808], q:[0.7737, 0.3455], qb:[0.511, 0.5596], phi:[0.4525]] | [X:[], M:[[8], [-4], [10], [-8], [6], [-4], [12], [-2]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ M_8$, $ M_3$, $ M_2$, $ M_6$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ M_5M_8$, $ \phi_1\tilde{q}_2^2$, $ M_7M_8$, $ M_3M_5$, $ M_3M_7$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_3M_4$, $ M_2M_5$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ M_3M_8$, $ M_3^2$, $ M_1M_7$, $ M_2M_4$, $ M_4M_6$, $ M_2M_8$, $ M_6M_8$ | . | -2 | t^2.07 + t^2.15 + t^2.57 + t^2.64 + t^2.79 + 2*t^3.28 + t^3.43 + t^4. + t^4.07 + t^4.15 + t^4.22 + t^4.29 + t^4.42 + t^4.57 + t^4.64 + 3*t^4.72 + t^4.79 + t^4.86 + t^4.93 + t^5.14 + t^5.21 + t^5.28 + 2*t^5.36 + 3*t^5.43 + 2*t^5.58 + t^5.85 + 2*t^5.93 - 2*t^6. + 3*t^6.07 + t^6.15 + 3*t^6.22 + t^6.29 + t^6.36 + t^6.44 + 3*t^6.57 + 2*t^6.72 + 3*t^6.79 + 4*t^6.86 + 2*t^6.93 + t^6.99 + t^7.01 + t^7.07 + t^7.08 + t^7.21 + 2*t^7.28 + 3*t^7.36 + 3*t^7.43 + 4*t^7.5 + 3*t^7.58 + t^7.65 + 2*t^7.71 + 2*t^7.72 + t^7.85 + 3*t^8. + t^8.15 + 4*t^8.22 + 2*t^8.29 + 4*t^8.36 + t^8.42 + t^8.44 + t^8.51 + t^8.58 - 2*t^8.64 + 5*t^8.72 - 3*t^8.79 + t^8.85 + 6*t^8.86 + 3*t^8.93 + t^8.99 - t^4.36/y - t^6.43/y - t^6.5/y - t^7./y + t^7.07/y - t^7.15/y + t^7.22/y + t^7.57/y + (3*t^7.72)/y + t^7.79/y + t^7.86/y + t^7.93/y + (2*t^8.21)/y + t^8.28/y + (3*t^8.36)/y + (3*t^8.43)/y - t^8.65/y + (2*t^8.85)/y + (2*t^8.93)/y - t^4.36*y - t^6.43*y - t^6.5*y - t^7.*y + t^7.07*y - t^7.15*y + t^7.22*y + t^7.57*y + 3*t^7.72*y + t^7.79*y + t^7.86*y + t^7.93*y + 2*t^8.21*y + t^8.28*y + 3*t^8.36*y + 3*t^8.43*y - t^8.65*y + 2*t^8.85*y + 2*t^8.93*y | g1^6*t^2.07 + g1^12*t^2.15 + t^2.57/g1^8 + t^2.64/g1^2 + g1^10*t^2.79 + (2*t^3.28)/g1^4 + g1^8*t^3.43 + t^4. + g1^6*t^4.07 + g1^12*t^4.15 + g1^18*t^4.22 + g1^24*t^4.29 + t^4.42/g1^20 + t^4.57/g1^8 + t^4.64/g1^2 + 3*g1^4*t^4.72 + g1^10*t^4.79 + g1^16*t^4.86 + g1^22*t^4.93 + t^5.14/g1^16 + t^5.21/g1^10 + t^5.28/g1^4 + 2*g1^2*t^5.36 + 3*g1^8*t^5.43 + 2*g1^20*t^5.58 + t^5.85/g1^12 + (2*t^5.93)/g1^6 - 2*t^6. + 3*g1^6*t^6.07 + g1^12*t^6.15 + 3*g1^18*t^6.22 + g1^24*t^6.29 + g1^30*t^6.36 + g1^36*t^6.44 + (3*t^6.57)/g1^8 + 2*g1^4*t^6.72 + 3*g1^10*t^6.79 + 4*g1^16*t^6.86 + 2*g1^22*t^6.93 + t^6.99/g1^28 + g1^28*t^7.01 + t^7.07/g1^22 + g1^34*t^7.08 + t^7.21/g1^10 + (2*t^7.28)/g1^4 + 3*g1^2*t^7.36 + 3*g1^8*t^7.43 + 4*g1^14*t^7.5 + 3*g1^20*t^7.58 + g1^26*t^7.65 + (2*t^7.71)/g1^24 + 2*g1^32*t^7.72 + t^7.85/g1^12 + 3*t^8. + g1^12*t^8.15 + 4*g1^18*t^8.22 + 2*g1^24*t^8.29 + 4*g1^30*t^8.36 + t^8.42/g1^20 + g1^36*t^8.44 + g1^42*t^8.51 + g1^48*t^8.58 - (2*t^8.64)/g1^2 + 5*g1^4*t^8.72 - 3*g1^10*t^8.79 + t^8.85/g1^40 + 6*g1^16*t^8.86 + 3*g1^22*t^8.93 + t^8.99/g1^28 - (g1^2*t^4.36)/y - (g1^8*t^6.43)/y - (g1^14*t^6.5)/y - t^7./y + (g1^6*t^7.07)/y - (g1^12*t^7.15)/y + (g1^18*t^7.22)/y + t^7.57/(g1^8*y) + (3*g1^4*t^7.72)/y + (g1^10*t^7.79)/y + (g1^16*t^7.86)/y + (g1^22*t^7.93)/y + (2*t^8.21)/(g1^10*y) + t^8.28/(g1^4*y) + (3*g1^2*t^8.36)/y + (3*g1^8*t^8.43)/y - (g1^26*t^8.65)/y + (2*t^8.85)/(g1^12*y) + (2*t^8.93)/(g1^6*y) - g1^2*t^4.36*y - g1^8*t^6.43*y - g1^14*t^6.5*y - t^7.*y + g1^6*t^7.07*y - g1^12*t^7.15*y + g1^18*t^7.22*y + (t^7.57*y)/g1^8 + 3*g1^4*t^7.72*y + g1^10*t^7.79*y + g1^16*t^7.86*y + g1^22*t^7.93*y + (2*t^8.21*y)/g1^10 + (t^8.28*y)/g1^4 + 3*g1^2*t^8.36*y + 3*g1^8*t^8.43*y - g1^26*t^8.65*y + (2*t^8.85*y)/g1^12 + (2*t^8.93*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5712 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ + $ M_7M_9$ | 0.6601 | 0.8212 | 0.8039 | [X:[], M:[1.1528, 1.0902, 0.941, 0.8472, 0.698, 1.0902, 0.7293, 0.8785, 1.2707], q:[0.7726, 0.349], qb:[0.4982, 0.5608], phi:[0.4549]] | t^2.09 + t^2.54 + t^2.64 + t^2.82 + 2*t^3.27 + t^3.46 + t^3.81 + t^4. + t^4.09 + t^4.19 + t^4.35 + t^4.54 + t^4.64 + 2*t^4.73 + t^4.92 + t^5.08 + t^5.18 + t^5.27 + 2*t^5.36 + t^5.46 + t^5.65 + t^5.81 + 3*t^5.91 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2224 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_1\tilde{q}_1$ | 0.6695 | 0.8409 | 0.7962 | [X:[], M:[1.1395, 1.0969, 0.9244, 0.8605, 0.688, 1.0969, 0.7093], q:[0.7742, 0.344], qb:[0.5165, 0.5591], phi:[0.4515]] | t^2.06 + t^2.13 + t^2.58 + t^2.77 + 2*t^3.29 + t^3.35 + t^3.42 + t^4. + t^4.06 + t^4.13 + t^4.19 + t^4.26 + t^4.45 + t^4.58 + t^4.65 + 2*t^4.71 + t^4.84 + t^4.9 + t^5.16 + 2*t^5.35 + 3*t^5.42 + t^5.48 + 2*t^5.55 + t^5.87 + t^5.94 - 2*t^6. - t^4.35/y - t^4.35*y | detail |