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 |
|---|---|---|---|---|---|---|---|---|---|
| 4352 | 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_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ + $ M_8\phi_1q_1q_2$ | 0.6932 | 0.8807 | 0.7871 | [X:[], M:[1.1628, 1.0814, 0.6744, 1.0523, 0.7849, 1.0, 0.8372, 0.7035], q:[0.3925, 0.4447], qb:[0.5553, 0.7704], phi:[0.4593]] | [X:[], M:[[8], [4], [-16], [-22], [14], [0], [-8], [10]], q:[[7], [-15]], qb:[[15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_8$, $ M_5$, $ M_7$, $ M_6$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3M_8$, $ M_8^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_5M_8$, $ M_3M_7$, $ M_7M_8$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_6M_8$, $ M_3M_4$, $ M_2M_3$, $ M_4M_8$, $ M_5M_6$, $ M_2M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_6M_7$, $ M_2M_5$, $ M_1M_8$, $ M_2M_7$, $ M_3\phi_1q_1^2$, $ M_1M_5$, $ M_8\phi_1q_1^2$ | . | -1 | t^2.02 + t^2.11 + t^2.35 + t^2.51 + t^3. + t^3.16 + t^3.24 + t^3.49 + t^3.73 + 2*t^4.05 + t^4.13 + 2*t^4.22 + 2*t^4.38 + t^4.47 + t^4.53 + t^4.62 + 2*t^4.71 + t^4.87 + 2*t^5.02 + t^5.11 + t^5.18 + 2*t^5.27 + 2*t^5.35 + 2*t^5.51 + 2*t^5.6 + 2*t^5.76 + t^5.84 - t^6. + 2*t^6.07 + t^6.09 + 2*t^6.16 + 3*t^6.24 + t^6.31 + t^6.33 + 3*t^6.4 + 2*t^6.49 + 2*t^6.56 + 2*t^6.58 + t^6.65 + 5*t^6.73 + 2*t^6.82 + t^6.89 + t^6.98 + 2*t^7.05 + 2*t^7.06 + 2*t^7.2 + 3*t^7.22 + 2*t^7.29 + 3*t^7.38 + 3*t^7.47 + 3*t^7.53 + 3*t^7.62 + 3*t^7.71 + 2*t^7.78 + 2*t^7.87 + 3*t^7.95 - 2*t^8.02 + 3*t^8.09 + 2*t^8.18 + t^8.2 + 4*t^8.27 + t^8.34 - t^8.35 + 5*t^8.42 + 3*t^8.44 + t^8.51 + 2*t^8.58 + 3*t^8.6 + 2*t^8.67 + t^8.69 + 7*t^8.76 + 3*t^8.84 + t^8.91 + 4*t^8.93 - t^4.38/y - t^6.4/y - t^6.49/y - t^6.73/y + t^7.13/y + t^7.22/y + t^7.38/y + t^7.47/y + t^7.62/y + t^7.87/y + (2*t^8.02)/y + t^8.11/y + t^8.18/y + (3*t^8.27)/y + (3*t^8.35)/y - t^8.42/y + (2*t^8.51)/y + t^8.6/y + t^8.67/y + t^8.76/y + t^8.84/y - t^4.38*y - t^6.4*y - t^6.49*y - t^6.73*y + t^7.13*y + t^7.22*y + t^7.38*y + t^7.47*y + t^7.62*y + t^7.87*y + 2*t^8.02*y + t^8.11*y + t^8.18*y + 3*t^8.27*y + 3*t^8.35*y - t^8.42*y + 2*t^8.51*y + t^8.6*y + t^8.67*y + t^8.76*y + t^8.84*y | t^2.02/g1^16 + g1^10*t^2.11 + g1^14*t^2.35 + t^2.51/g1^8 + t^3. + t^3.16/g1^22 + g1^4*t^3.24 + g1^8*t^3.49 + g1^12*t^3.73 + (2*t^4.05)/g1^32 + t^4.13/g1^6 + 2*g1^20*t^4.22 + (2*t^4.38)/g1^2 + g1^24*t^4.47 + t^4.53/g1^24 + g1^2*t^4.62 + 2*g1^28*t^4.71 + g1^6*t^4.87 + (2*t^5.02)/g1^16 + g1^10*t^5.11 + t^5.18/g1^38 + (2*t^5.27)/g1^12 + 2*g1^14*t^5.35 + (2*t^5.51)/g1^8 + 2*g1^18*t^5.6 + (2*t^5.76)/g1^4 + g1^22*t^5.84 - t^6. + (2*t^6.07)/g1^48 + g1^26*t^6.09 + (2*t^6.16)/g1^22 + 3*g1^4*t^6.24 + t^6.31/g1^44 + g1^30*t^6.33 + (3*t^6.4)/g1^18 + 2*g1^8*t^6.49 + (2*t^6.56)/g1^40 + 2*g1^34*t^6.58 + t^6.65/g1^14 + 5*g1^12*t^6.73 + 2*g1^38*t^6.82 + t^6.89/g1^10 + g1^16*t^6.98 + (2*t^7.05)/g1^32 + 2*g1^42*t^7.06 + (2*t^7.2)/g1^54 + 3*g1^20*t^7.22 + (2*t^7.29)/g1^28 + (3*t^7.38)/g1^2 + 3*g1^24*t^7.47 + (3*t^7.53)/g1^24 + 3*g1^2*t^7.62 + 3*g1^28*t^7.71 + (2*t^7.78)/g1^20 + 2*g1^6*t^7.87 + 3*g1^32*t^7.95 - (2*t^8.02)/g1^16 + (3*t^8.09)/g1^64 + (2*t^8.18)/g1^38 + g1^36*t^8.2 + (4*t^8.27)/g1^12 + t^8.34/g1^60 - g1^14*t^8.35 + (5*t^8.42)/g1^34 + 3*g1^40*t^8.44 + t^8.51/g1^8 + (2*t^8.58)/g1^56 + 3*g1^18*t^8.6 + (2*t^8.67)/g1^30 + g1^44*t^8.69 + (7*t^8.76)/g1^4 + 3*g1^22*t^8.84 + t^8.91/g1^26 + 4*g1^48*t^8.93 - t^4.38/(g1^2*y) - t^6.4/(g1^18*y) - (g1^8*t^6.49)/y - (g1^12*t^6.73)/y + t^7.13/(g1^6*y) + (g1^20*t^7.22)/y + t^7.38/(g1^2*y) + (g1^24*t^7.47)/y + (g1^2*t^7.62)/y + (g1^6*t^7.87)/y + (2*t^8.02)/(g1^16*y) + (g1^10*t^8.11)/y + t^8.18/(g1^38*y) + (3*t^8.27)/(g1^12*y) + (3*g1^14*t^8.35)/y - t^8.42/(g1^34*y) + (2*t^8.51)/(g1^8*y) + (g1^18*t^8.6)/y + t^8.67/(g1^30*y) + t^8.76/(g1^4*y) + (g1^22*t^8.84)/y - (t^4.38*y)/g1^2 - (t^6.4*y)/g1^18 - g1^8*t^6.49*y - g1^12*t^6.73*y + (t^7.13*y)/g1^6 + g1^20*t^7.22*y + (t^7.38*y)/g1^2 + g1^24*t^7.47*y + g1^2*t^7.62*y + g1^6*t^7.87*y + (2*t^8.02*y)/g1^16 + g1^10*t^8.11*y + (t^8.18*y)/g1^38 + (3*t^8.27*y)/g1^12 + 3*g1^14*t^8.35*y - (t^8.42*y)/g1^34 + (2*t^8.51*y)/g1^8 + g1^18*t^8.6*y + (t^8.67*y)/g1^30 + (t^8.76*y)/g1^4 + g1^22*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 5804 | $M_1q_1q_2$ + $ 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_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ + $ M_8\phi_1q_1q_2$ + $ M_2M_9$ | 0.7008 | 0.8934 | 0.7844 | [X:[], M:[1.1654, 1.0827, 0.6692, 1.0452, 0.7894, 1.0, 0.8346, 0.7067, 0.9173], q:[0.3947, 0.4399], qb:[0.5601, 0.7707], phi:[0.4587]] | t^2.01 + t^2.12 + t^2.37 + t^2.5 + t^2.75 + t^3. + t^3.14 + t^3.5 + t^3.74 + 2*t^4.02 + t^4.13 + 2*t^4.24 + 2*t^4.38 + t^4.49 + t^4.51 + t^4.62 + 2*t^4.74 + t^4.76 + 2*t^4.87 + 2*t^5.01 + 2*t^5.12 + t^5.14 + 2*t^5.26 + t^5.37 + 3*t^5.5 + t^5.62 + 2*t^5.75 + t^5.86 + t^5.89 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2348 | 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_6q_2\tilde{q}_1$ + $ M_6^2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_7$ + $ \phi_1\tilde{q}_2^2$ | 0.6728 | 0.8419 | 0.7992 | [X:[], M:[1.1643, 1.0822, 0.6714, 1.0481, 0.7875, 1.0, 0.8357], q:[0.3938, 0.4419], qb:[0.5581, 0.7705], phi:[0.4589]] | t^2.01 + t^2.36 + t^2.51 + t^3. + t^3.14 + t^3.25 + t^3.49 + t^3.74 + t^3.88 + 2*t^4.03 + t^4.23 + 2*t^4.38 + t^4.52 + 2*t^4.73 + t^4.87 + 2*t^5.01 + t^5.16 + t^5.26 + t^5.36 + 2*t^5.51 + t^5.61 + 2*t^5.75 + t^5.9 - t^6. - t^4.38/y - t^4.38*y | detail |