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 |
|---|---|---|---|---|---|---|---|---|---|
| 266 | 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$ | 0.6704 | 0.8232 | 0.8144 | [X:[], M:[0.9756, 1.1208, 0.9809, 0.6759], q:[0.7802, 0.4423], qb:[0.5821, 0.437], phi:[0.4396]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [10, 2]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_4q_1\tilde{q}_2$, $ M_4q_1q_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4\phi_1\tilde{q}_2^2$ | . | -2 | t^2.03 + t^2.64 + t^2.93 + t^2.94 + t^3.36 + t^3.65 + t^3.67 + t^3.94 + t^3.96 + t^4.06 + t^4.09 + t^4.38 + t^4.39 + t^4.67 + t^4.81 + t^4.95 + t^4.97 + t^5.28 + t^5.39 + t^5.68 + t^5.69 + t^5.85 + t^5.87 + t^5.89 + t^5.97 - 2*t^6. - t^6.02 + t^6.08 + t^6.11 + t^6.29 + t^6.31 + t^6.4 - t^6.44 + 2*t^6.58 + 2*t^6.59 + t^6.61 + t^6.69 + t^6.84 + t^6.87 + t^6.88 + t^6.98 + t^7. + t^7.01 + t^7.03 + 2*t^7.3 + t^7.32 + t^7.42 + t^7.45 + t^7.59 + t^7.61 + t^7.71 + t^7.72 + t^7.74 + t^7.75 + 2*t^7.88 + 2*t^7.9 + 2*t^7.91 + t^8. - t^8.03 + t^8.11 + t^8.14 + t^8.17 + 2*t^8.32 + t^8.33 - t^8.35 + t^8.43 + t^8.48 + 2*t^8.61 + t^8.62 - t^8.64 - t^8.65 + t^8.72 + t^8.75 + t^8.78 + t^8.8 + t^8.81 + t^8.83 + t^8.87 + 2*t^8.9 - 3*t^8.93 - 3*t^8.94 - t^8.96 - t^4.32/y - t^6.35/y - t^7.25/y - t^7.26/y + t^7.38/y + t^7.39/y + t^7.67/y + t^7.95/y + t^7.97/y + t^8.29/y - t^8.37/y + t^8.39/y + t^8.56/y + t^8.58/y + t^8.68/y + t^8.69/y + t^8.87/y + t^8.97/y + t^8.98/y - t^4.32*y - t^6.35*y - t^7.25*y - t^7.26*y + t^7.38*y + t^7.39*y + t^7.67*y + t^7.95*y + t^7.97*y + t^8.29*y - t^8.37*y + t^8.39*y + t^8.56*y + t^8.58*y + t^8.68*y + t^8.69*y + t^8.87*y + t^8.97*y + t^8.98*y | g1^10*g2^2*t^2.03 + t^2.64/g1^4 + (g2*t^2.93)/g1^7 + t^2.94/(g1^11*g2) + g1^4*t^3.36 + g1*g2*t^3.65 + t^3.67/(g1^3*g2) + (g2^2*t^3.94)/g1^2 + t^3.96/g1^6 + g1^20*g2^4*t^4.06 + g1^12*t^4.09 + g1^9*g2*t^4.38 + (g1^5*t^4.39)/g2 + g1^6*g2^2*t^4.67 + g1^20*t^4.81 + g1^3*g2^3*t^4.95 + (g2*t^4.97)/g1 + t^5.28/g1^8 + g1^14*g2^2*t^5.39 + g1^11*g2^3*t^5.68 + g1^7*g2*t^5.69 + (g2^2*t^5.85)/g1^14 + t^5.87/g1^18 + t^5.89/(g1^22*g2^2) + g1^8*g2^4*t^5.97 - 2*t^6. - t^6.02/(g1^4*g2^2) + g1^30*g2^6*t^6.08 + g1^22*g2^2*t^6.11 + (g2*t^6.29)/g1^3 + t^6.31/(g1^7*g2) + g1^19*g2^3*t^6.4 - (g1^11*t^6.44)/g2 + (2*g2^2*t^6.58)/g1^6 + (2*t^6.59)/g1^10 + t^6.61/(g1^14*g2^2) + g1^16*g2^4*t^6.69 + g1^30*g2^2*t^6.84 + (g2^3*t^6.87)/g1^9 + (g2*t^6.88)/g1^13 + g1^13*g2^5*t^6.98 + g1^9*g2^3*t^7. + g1^5*g2*t^7.01 + (g1*t^7.03)/g2 + 2*g1^2*g2^2*t^7.3 + t^7.32/g1^2 + g1^24*g2^4*t^7.42 + g1^16*t^7.45 + (g2^3*t^7.59)/g1 + (g2*t^7.61)/g1^5 + g1^21*g2^5*t^7.71 + g1^17*g2^3*t^7.72 + g1^13*g2*t^7.74 + (g1^9*t^7.75)/g2 + (2*g2^4*t^7.88)/g1^4 + (2*g2^2*t^7.9)/g1^8 + (2*t^7.91)/g1^12 + g1^18*g2^6*t^8. - g1^10*g2^2*t^8.03 + g1^40*g2^8*t^8.11 + g1^32*g2^4*t^8.14 + g1^24*t^8.17 + 2*g1^7*g2^3*t^8.32 + g1^3*g2*t^8.33 - t^8.35/(g1*g2) + g1^29*g2^5*t^8.43 + (g1^17*t^8.48)/g2 + 2*g1^4*g2^4*t^8.61 + g2^2*t^8.62 - t^8.64/g1^4 - t^8.65/(g1^8*g2^2) + g1^26*g2^6*t^8.72 + g1^18*g2^2*t^8.75 + (g2^3*t^8.78)/g1^21 + (g2*t^8.8)/g1^25 + t^8.81/(g1^29*g2) + t^8.83/(g1^33*g2^3) + g1^40*g2^4*t^8.87 + g1^32*t^8.9 + g1*g2^5*t^8.9 - (3*g2*t^8.93)/g1^7 - (3*t^8.94)/(g1^11*g2) - t^8.96/(g1^15*g2^3) - t^4.32/(g1^2*y) - (g1^8*g2^2*t^6.35)/y - (g2*t^7.25)/(g1^9*y) - t^7.26/(g1^13*g2*y) + (g1^9*g2*t^7.38)/y + (g1^5*t^7.39)/(g2*y) + (g1^6*g2^2*t^7.67)/y + (g1^3*g2^3*t^7.95)/y + (g2*t^7.97)/(g1*y) + t^8.29/(g1^12*g2^2*y) - (g1^18*g2^4*t^8.37)/y + (g1^14*g2^2*t^8.39)/y + (g2*t^8.56)/(g1^11*y) + t^8.58/(g1^15*g2*y) + (g1^11*g2^3*t^8.68)/y + (g1^7*g2*t^8.69)/y + t^8.87/(g1^18*y) + (g1^8*g2^4*t^8.97)/y + (g1^4*g2^2*t^8.98)/y - (t^4.32*y)/g1^2 - g1^8*g2^2*t^6.35*y - (g2*t^7.25*y)/g1^9 - (t^7.26*y)/(g1^13*g2) + g1^9*g2*t^7.38*y + (g1^5*t^7.39*y)/g2 + g1^6*g2^2*t^7.67*y + g1^3*g2^3*t^7.95*y + (g2*t^7.97*y)/g1 + (t^8.29*y)/(g1^12*g2^2) - g1^18*g2^4*t^8.37*y + g1^14*g2^2*t^8.39*y + (g2*t^8.56*y)/g1^11 + (t^8.58*y)/(g1^15*g2) + g1^11*g2^3*t^8.68*y + g1^7*g2*t^8.69*y + (t^8.87*y)/g1^18 + g1^8*g2^4*t^8.97*y + g1^4*g2^2*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 427 | $\phi_1q_1^2$ + $ 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$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[1.1394, 1.097, 0.9242, 0.8606], q:[0.7742, 0.3439], qb:[0.5167, 0.5591], phi:[0.4515]] | t^2.58 + t^2.71 + t^2.77 + t^3.29 + t^3.35 + t^3.42 + t^3.87 + t^3.94 + t^4. + t^4.06 + t^4.45 + t^4.58 + t^4.71 + t^5.16 + t^5.29 + t^5.42 + t^5.55 + t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 429 | $\phi_1q_1^2$ + $ 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_4\phi_1\tilde{q}_2^2$ | 0.6704 | 0.8228 | 0.8147 | [X:[], M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + 2*t^3.96 + 2*t^4.08 + 2*t^4.38 + t^4.68 + t^4.81 + 2*t^4.98 + t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 430 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ | 0.6667 | 0.8151 | 0.8179 | [X:[], M:[1.0055, 1.1229, 0.9413, 0.7486], q:[0.7807, 0.4064], qb:[0.588, 0.4707], phi:[0.4385]] | t^2.25 + t^2.63 + t^2.82 + t^3.02 + t^3.37 + t^3.56 + t^3.75 + t^3.95 + t^4.11 + t^4.14 + t^4.3 + 2*t^4.49 + t^4.84 + t^4.88 + t^5.07 + 2*t^5.26 + t^5.61 + t^5.65 + t^5.84 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 428 | $\phi_1q_1^2$ + $ 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_5\phi_1\tilde{q}_2^2$ | 0.6911 | 0.8637 | 0.8002 | [X:[], M:[0.9807, 1.1197, 0.9807, 0.6795, 0.6795], q:[0.7799, 0.4402], qb:[0.5791, 0.4402], phi:[0.4402]] | 2*t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + t^3.96 + 4*t^4.08 + 2*t^4.38 + 2*t^4.68 + t^4.8 + 4*t^4.98 + t^5.28 + 2*t^5.4 + 4*t^5.7 + 3*t^5.88 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 169 | 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$ | 0.6496 | 0.7822 | 0.8305 | [X:[], M:[0.9769, 1.1214, 0.9769], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], phi:[0.4393]] | t^2.64 + 2*t^2.93 + t^3.36 + 2*t^3.66 + 3*t^3.95 + t^4.09 + 2*t^4.39 + t^4.82 + t^5.27 + 3*t^5.86 - 4*t^6. - t^4.32/y - t^4.32*y | detail |