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 |
|---|---|---|---|---|---|---|---|---|---|
| 47043 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6\phi_1q_2^2$ | 0.7021 | 0.8823 | 0.7958 | [X:[], M:[0.9637, 0.9715, 1.1255, 0.6883, 0.8745, 0.6805], q:[0.5951, 0.4411], qb:[0.4334, 0.7814], phi:[0.4372]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, 6], [0, -4], [2, 10]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_4M_6$, $ M_4^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_6$, $ M_1M_4$, $ M_2M_6$, $ M_2M_4$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_6\phi_1\tilde{q}_1^2$ | . | -3 | t^2.04 + t^2.06 + 2*t^2.62 + t^2.89 + t^2.91 + t^3.64 + t^3.67 + t^3.91 + t^4.08 + t^4.11 + 2*t^4.13 + t^4.4 + t^4.42 + 2*t^4.66 + 2*t^4.69 + t^4.88 + t^4.93 + 2*t^4.96 + t^4.98 + 3*t^5.25 + t^5.51 + t^5.54 + t^5.69 + 2*t^5.71 + t^5.73 + t^5.78 + t^5.81 + t^5.83 + t^5.95 - 3*t^6. - t^6.02 + t^6.12 + t^6.15 + 2*t^6.17 + 2*t^6.19 + t^6.27 + t^6.29 + t^6.44 + t^6.46 + 3*t^6.54 + t^6.56 + t^6.58 + 2*t^6.71 + 2*t^6.73 + 2*t^6.75 + t^6.8 - t^6.85 + t^6.92 + t^6.95 + t^6.97 + 2*t^7. + 3*t^7.02 + 2*t^7.04 + 3*t^7.29 + 3*t^7.31 + t^7.51 + 2*t^7.56 + 2*t^7.58 + t^7.73 + 2*t^7.75 + 2*t^7.77 + t^7.8 + 2*t^7.82 + 2*t^7.85 + 5*t^7.87 + t^7.89 + t^7.99 - 2*t^8.04 - 4*t^8.06 - t^8.09 + t^8.14 + t^8.16 + t^8.17 + t^8.19 + 2*t^8.21 + 2*t^8.24 + 2*t^8.26 + 2*t^8.31 + t^8.33 - t^8.36 + t^8.41 + t^8.43 + t^8.45 + t^8.48 + t^8.5 + t^8.53 + t^8.55 + 3*t^8.58 + 2*t^8.6 - 4*t^8.62 - t^8.65 + t^8.67 + t^8.7 + t^8.72 + t^8.74 + 2*t^8.75 + 2*t^8.77 + 3*t^8.79 + t^8.82 + t^8.84 - 3*t^8.89 - 3*t^8.91 - t^8.94 + t^8.97 + t^8.99 - t^4.31/y - t^6.35/y - t^6.38/y - t^6.94/y + t^7.11/y - t^7.2/y - t^7.23/y + t^7.4/y + t^7.42/y + (2*t^7.66)/y + (3*t^7.69)/y + t^7.93/y + (2*t^7.96)/y + t^7.98/y + (2*t^8.25)/y + t^8.27/y - t^8.39/y - t^8.42/y - t^8.44/y + (2*t^8.51)/y + (2*t^8.54)/y + t^8.69/y + (2*t^8.71)/y + t^8.73/y + t^8.81/y + t^8.95/y - t^4.31*y - t^6.35*y - t^6.38*y - t^6.94*y + t^7.11*y - t^7.2*y - t^7.23*y + t^7.4*y + t^7.42*y + 2*t^7.66*y + 3*t^7.69*y + t^7.93*y + 2*t^7.96*y + t^7.98*y + 2*t^8.25*y + t^8.27*y - t^8.39*y - t^8.42*y - t^8.44*y + 2*t^8.51*y + 2*t^8.54*y + t^8.69*y + 2*t^8.71*y + t^8.73*y + t^8.81*y + t^8.95*y | g1^2*g2^10*t^2.04 + g2^6*t^2.06 + (2*t^2.62)/g2^4 + (g1*t^2.89)/g2^7 + t^2.91/(g1*g2^11) + g1*g2*t^3.64 + t^3.67/(g1*g2^3) + (g1^2*t^3.91)/g2^2 + g1^4*g2^20*t^4.08 + g1^2*g2^16*t^4.11 + 2*g2^12*t^4.13 + g1*g2^9*t^4.4 + (g2^5*t^4.42)/g1 + 2*g1^2*g2^6*t^4.66 + 2*g2^2*t^4.69 + g2^20*t^4.88 + g1^3*g2^3*t^4.93 + (2*g1*t^4.96)/g2 + t^4.98/(g1*g2^5) + (3*t^5.25)/g2^8 + (g1*t^5.51)/g2^11 + t^5.54/(g1*g2^15) + g1^3*g2^11*t^5.69 + 2*g1*g2^7*t^5.71 + (g2^3*t^5.73)/g1 + (g1^2*t^5.78)/g2^14 + t^5.81/g2^18 + t^5.83/(g1^2*g2^22) + g1^4*g2^8*t^5.95 - 3*t^6. - t^6.02/(g1^2*g2^4) + g1^6*g2^30*t^6.12 + g1^4*g2^26*t^6.15 + 2*g1^2*g2^22*t^6.17 + 2*g2^18*t^6.19 + (g1*t^6.27)/g2^3 + t^6.29/(g1*g2^7) + g1^3*g2^19*t^6.44 + g1*g2^15*t^6.46 + (3*g1^2*t^6.54)/g2^6 + t^6.56/g2^10 + t^6.58/(g1^2*g2^14) + 2*g1^4*g2^16*t^6.71 + 2*g1^2*g2^12*t^6.73 + 2*g2^8*t^6.75 + (g1^3*t^6.8)/g2^9 - t^6.85/(g1*g2^17) + g1^2*g2^30*t^6.92 + g2^26*t^6.95 + g1^5*g2^13*t^6.97 + 2*g1^3*g2^9*t^7. + 3*g1*g2^5*t^7.02 + (2*g2*t^7.04)/g1 + 3*g1^2*g2^2*t^7.29 + (3*t^7.31)/g2^2 + g2^16*t^7.51 + (2*g1^3*t^7.56)/g2 + (2*g1*t^7.58)/g2^5 + g1^5*g2^21*t^7.73 + 2*g1^3*g2^17*t^7.75 + 2*g1*g2^13*t^7.77 + (g2^9*t^7.8)/g1 + (2*g1^4*t^7.82)/g2^4 + (2*g1^2*t^7.85)/g2^8 + (5*t^7.87)/g2^12 + t^7.89/(g1^2*g2^16) + g1^6*g2^18*t^7.99 - 2*g1^2*g2^10*t^8.04 - 4*g2^6*t^8.06 - (g2^2*t^8.09)/g1^2 + (g1*t^8.14)/g2^15 + t^8.16/(g1*g2^19) + g1^8*g2^40*t^8.17 + g1^6*g2^36*t^8.19 + 2*g1^4*g2^32*t^8.21 + 2*g1^2*g2^28*t^8.24 + 2*g2^24*t^8.26 + 2*g1^3*g2^7*t^8.31 + g1*g2^3*t^8.33 - t^8.36/(g1*g2) + (g1^2*t^8.41)/g2^18 + t^8.43/g2^22 + t^8.45/(g1^2*g2^26) + g1^5*g2^29*t^8.48 + g1^3*g2^25*t^8.5 + g1*g2^21*t^8.53 + (g2^17*t^8.55)/g1 + 3*g1^4*g2^4*t^8.58 + 2*g1^2*t^8.6 - (4*t^8.62)/g2^4 - t^8.65/(g1^2*g2^8) + (g1^3*t^8.67)/g2^21 + (g1*t^8.7)/g2^25 + t^8.72/(g1*g2^29) + t^8.74/(g1^3*g2^33) + 2*g1^6*g2^26*t^8.75 + 2*g1^4*g2^22*t^8.77 + 3*g1^2*g2^18*t^8.79 + g2^14*t^8.82 + g1^5*g2*t^8.84 - (3*g1*t^8.89)/g2^7 - (3*t^8.91)/(g1*g2^11) - t^8.94/(g1^3*g2^15) + g1^4*g2^40*t^8.97 + g1^2*g2^36*t^8.99 - t^4.31/(g2^2*y) - (g1^2*g2^8*t^6.35)/y - (g2^4*t^6.38)/y - t^6.94/(g2^6*y) + (g1^2*g2^16*t^7.11)/y - (g1*t^7.2)/(g2^9*y) - t^7.23/(g1*g2^13*y) + (g1*g2^9*t^7.4)/y + (g2^5*t^7.42)/(g1*y) + (2*g1^2*g2^6*t^7.66)/y + (3*g2^2*t^7.69)/y + (g1^3*g2^3*t^7.93)/y + (2*g1*t^7.96)/(g2*y) + t^7.98/(g1*g2^5*y) + (2*t^8.25)/(g2^8*y) + t^8.27/(g1^2*g2^12*y) - (g1^4*g2^18*t^8.39)/y - (g1^2*g2^14*t^8.42)/y - (g2^10*t^8.44)/y + (2*g1*t^8.51)/(g2^11*y) + (2*t^8.54)/(g1*g2^15*y) + (g1^3*g2^11*t^8.69)/y + (2*g1*g2^7*t^8.71)/y + (g2^3*t^8.73)/(g1*y) + t^8.81/(g2^18*y) + (g1^4*g2^8*t^8.95)/y - (t^4.31*y)/g2^2 - g1^2*g2^8*t^6.35*y - g2^4*t^6.38*y - (t^6.94*y)/g2^6 + g1^2*g2^16*t^7.11*y - (g1*t^7.2*y)/g2^9 - (t^7.23*y)/(g1*g2^13) + g1*g2^9*t^7.4*y + (g2^5*t^7.42*y)/g1 + 2*g1^2*g2^6*t^7.66*y + 3*g2^2*t^7.69*y + g1^3*g2^3*t^7.93*y + (2*g1*t^7.96*y)/g2 + (t^7.98*y)/(g1*g2^5) + (2*t^8.25*y)/g2^8 + (t^8.27*y)/(g1^2*g2^12) - g1^4*g2^18*t^8.39*y - g1^2*g2^14*t^8.42*y - g2^10*t^8.44*y + (2*g1*t^8.51*y)/g2^11 + (2*t^8.54*y)/(g1*g2^15) + g1^3*g2^11*t^8.69*y + 2*g1*g2^7*t^8.71*y + (g2^3*t^8.73*y)/g1 + (t^8.81*y)/g2^18 + g1^4*g2^8*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 55338 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_2X_1$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 0.5792, 1.2277, 0.8415, 0.7723, 1.1585], q:[0.8761, 0.2277], qb:[0.5447, 0.8069], phi:[0.3862]] | 2*t^2.32 + t^2.52 + t^2.69 + t^3.1 + t^3.48 + t^4.26 + t^4.43 + t^4.47 + 3*t^4.63 + 2*t^4.84 + t^5.01 + t^5.05 + t^5.38 + 2*t^5.42 + t^5.63 + 2*t^5.79 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 55288 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6382 | 0.7991 | 0.7986 | [X:[], M:[1.0473, 0.7736, 1.1509, 0.7264, 0.8491, 1.0], q:[0.665, 0.2877], qb:[0.5614, 0.7877], phi:[0.4245]] | t^2.18 + t^2.32 + 2*t^2.55 + t^3. + t^3.14 + t^3.23 + t^4.05 + t^4.13 + 2*t^4.36 + t^4.5 + 2*t^4.64 + 2*t^4.73 + t^4.87 + t^4.95 + 3*t^5.09 + t^5.26 + 2*t^5.32 + t^5.41 + t^5.46 + 3*t^5.55 + t^5.69 + t^5.77 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
| 55258 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6\phi_1q_2^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7198 | 0.9129 | 0.7884 | [X:[], M:[0.9768, 0.9666, 1.1237, 0.6855, 0.8763, 0.6958, 0.7758], q:[0.5902, 0.433], qb:[0.4433, 0.7809], phi:[0.4382]] | t^2.06 + t^2.09 + t^2.33 + 2*t^2.63 + t^2.9 + t^2.93 + t^3.64 + t^3.97 + 2*t^4.11 + t^4.14 + t^4.17 + 2*t^4.38 + 2*t^4.41 + t^4.65 + 2*t^4.69 + 2*t^4.72 + t^4.86 + 3*t^4.96 + 2*t^4.99 + t^5.02 + t^5.23 + 4*t^5.26 + t^5.53 + t^5.56 + t^5.7 + t^5.73 + t^5.8 + t^5.83 + t^5.86 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 50875 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6\phi_1q_2^2$ + $ \phi_1q_1^2$ | 0.6642 | 0.8416 | 0.7892 | [X:[], M:[0.7807, 0.8193, 1.2, 0.8, 0.8, 0.7613], q:[0.8, 0.4193], qb:[0.3807, 0.8], phi:[0.4]] | t^2.28 + t^2.34 + 3*t^2.4 + t^2.46 + t^3.48 + t^3.54 + t^3.66 + t^4.57 + t^4.63 + 4*t^4.68 + 4*t^4.74 + 8*t^4.8 + 3*t^4.86 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 - t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46691 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ | 0.6814 | 0.8416 | 0.8096 | [X:[], M:[0.9657, 0.9657, 1.1263, 0.6895, 0.8737], q:[0.5974, 0.4368], qb:[0.4368, 0.7816], phi:[0.4368]] | t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y | detail |