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 |
|---|---|---|---|---|---|---|---|---|---|
| 2648 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ | 0.6916 | 0.8693 | 0.7956 | [X:[], M:[1.0001, 0.752, 0.909, 0.843, 1.157, 1.124, 0.719, 0.843], q:[0.624, 0.376], qb:[0.467, 0.781], phi:[0.438]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [-1, 5], [1, -1]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_4$, $ M_8$, $ M_3$, $ M_1$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_2M_7$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_7M_8$, $ M_2M_4$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_7$, $ M_2M_3$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1M_7$, $ M_1M_2$, $ M_3M_4$, $ M_3M_8$, $ M_3^2$, $ M_1M_4$, $ M_1M_8$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ M_1M_3$, $ M_2\phi_1q_2^2$, $ M_4M_6$, $ M_6M_8$ | $M_1^2$ | -2 | t^2.16 + t^2.26 + 2*t^2.53 + t^2.73 + t^3. + t^3.37 + t^3.57 + t^4.12 + t^4.21 + 2*t^4.31 + t^4.41 + t^4.51 + t^4.59 + 2*t^4.69 + 2*t^4.78 + t^4.88 + t^4.98 + 4*t^5.06 + t^5.16 + 2*t^5.26 + t^5.45 + 2*t^5.53 + t^5.63 + t^5.73 + t^5.83 + 2*t^5.9 - 2*t^6. + 2*t^6.1 + t^6.3 + 2*t^6.37 + t^6.47 + 2*t^6.57 + 2*t^6.65 + t^6.67 + 2*t^6.74 + t^6.77 + 3*t^6.84 + 2*t^6.94 + 3*t^7.04 + 2*t^7.12 + 2*t^7.14 + t^7.21 + 2*t^7.22 + t^7.24 + 4*t^7.31 + 2*t^7.41 + 2*t^7.51 + 5*t^7.59 + t^7.61 + 2*t^7.69 + t^7.71 + t^7.78 + 2*t^7.79 + 3*t^7.88 + 2*t^7.98 + t^8.06 + t^8.08 - t^8.16 + t^8.18 + t^8.23 - t^8.26 + 2*t^8.35 + 3*t^8.43 + t^8.45 - 4*t^8.53 + t^8.55 + 5*t^8.63 + t^8.7 - t^8.73 + 3*t^8.83 + 2*t^8.9 + t^8.92 - t^4.31/y - t^6.47/y - t^6.57/y - t^6.84/y - t^7.04/y + t^7.41/y + t^7.59/y + (2*t^7.69)/y + (3*t^7.78)/y + t^7.88/y + t^7.98/y + (2*t^8.06)/y + (2*t^8.16)/y + (3*t^8.26)/y + (3*t^8.53)/y + t^8.73/y + (2*t^8.9)/y - t^4.31*y - t^6.47*y - t^6.57*y - t^6.84*y - t^7.04*y + t^7.41*y + t^7.59*y + 2*t^7.69*y + 3*t^7.78*y + t^7.88*y + t^7.98*y + 2*t^8.06*y + 2*t^8.16*y + 3*t^8.26*y + 3*t^8.53*y + t^8.73*y + 2*t^8.9*y | (g2^5*t^2.16)/g1 + t^2.26/(g1^2*g2^2) + (2*g1*t^2.53)/g2 + t^2.73/(g1*g2^15) + (g1^2*t^3.)/g2^14 + g2^8*t^3.37 + t^3.57/(g1^2*g2^6) + (g1^4*t^4.12)/g2^4 + (g2^17*t^4.21)/g1 + (2*g2^10*t^4.31)/g1^2 + (g2^3*t^4.41)/g1^3 + t^4.51/(g1^4*g2^4) + g1*g2^11*t^4.59 + 2*g2^4*t^4.69 + (2*t^4.78)/(g1*g2^3) + t^4.88/(g1^2*g2^10) + t^4.98/(g1^3*g2^17) + (3*g1^2*t^5.06)/g2^2 + (g2^26*t^5.06)/g1^2 + (g1*t^5.16)/g2^9 + (2*t^5.26)/g2^16 + t^5.45/(g1^2*g2^30) + (g1^3*t^5.53)/g2^15 + (g2^13*t^5.53)/g1 + (g2^6*t^5.63)/g1^2 + (g1*t^5.73)/g2^29 + t^5.83/(g1^4*g2^8) + 2*g1*g2^7*t^5.9 - 3*t^6. + (g1^4*t^6.)/g2^28 + (2*t^6.1)/(g1*g2^7) + t^6.3/(g1^3*g2^21) + (g1^2*t^6.37)/g2^6 + (g2^22*t^6.37)/g1^2 - (g1*t^6.47)/g2^13 + (2*g2^15*t^6.47)/g1^3 + (2*g2^8*t^6.57)/g1^4 + (2*g1^5*t^6.65)/g2^5 + (g2*t^6.67)/g1^5 + 2*g2^16*t^6.74 + t^6.77/(g1^6*g2^6) + (3*g2^9*t^6.84)/g1 + (2*g2^2*t^6.94)/g1^2 + (3*t^7.04)/(g1^3*g2^5) + (g1^6*t^7.12)/g2^18 + g1^2*g2^10*t^7.12 + (2*t^7.14)/(g1^4*g2^12) + (g2^31*t^7.21)/g1^3 + 2*g1*g2^3*t^7.22 + t^7.24/(g1^5*g2^19) + (3*t^7.31)/g2^4 + (g2^24*t^7.31)/g1^4 + (2*t^7.41)/(g1*g2^11) + (2*t^7.51)/(g1^2*g2^18) + (3*g1^3*t^7.59)/g2^3 + (2*g2^25*t^7.59)/g1 + t^7.61/(g1^3*g2^25) + (g1^2*t^7.69)/g2^10 + (g2^18*t^7.69)/g1^2 + t^7.71/(g1^4*g2^32) + (g2^11*t^7.78)/g1^3 + (2*g1*t^7.79)/g2^17 + t^7.88/g2^24 + (2*g2^4*t^7.88)/g1^4 + (2*t^7.98)/(g1*g2^31) + (g1^4*t^8.06)/g2^16 + t^8.08/(g1^6*g2^10) + (g1^3*t^8.16)/g2^23 - (2*g2^5*t^8.16)/g1 + t^8.18/(g1^3*g2^45) + (g1^8*t^8.23)/g2^8 + (2*g1^2*t^8.26)/g2^30 - (3*t^8.26)/(g1^2*g2^2) + (2*t^8.35)/(g1^3*g2^9) + 2*g1^2*g2^6*t^8.43 + (g2^34*t^8.43)/g1^2 + t^8.45/g2^44 + (g1^5*t^8.53)/g2^29 - (6*g1*t^8.53)/g2 + (g2^27*t^8.53)/g1^3 + t^8.55/(g1^5*g2^23) + (2*t^8.63)/g2^8 + (3*g2^20*t^8.63)/g1^4 + g1^5*g2^7*t^8.7 + (g1^3*t^8.73)/g2^43 - (4*t^8.73)/(g1*g2^15) + (2*g2^13*t^8.73)/g1^5 + t^8.83/(g1^2*g2^22) + (2*g2^6*t^8.83)/g1^6 + (g1^3*t^8.9)/g2^7 + (g2^21*t^8.9)/g1 + t^8.92/(g1^7*g2) - t^4.31/(g2^4*y) - (g2*t^6.47)/(g1*y) - t^6.57/(g1^2*g2^6*y) - (g1*t^6.84)/(g2^5*y) - t^7.04/(g1*g2^19*y) - (g1^2*t^7.31)/(g2^18*y) + (g2^10*t^7.31)/(g1^2*y) + (g2^3*t^7.41)/(g1^3*y) + (g1*g2^11*t^7.59)/y + (2*g2^4*t^7.69)/y + (3*t^7.78)/(g1*g2^3*y) + t^7.88/(g1^2*g2^10*y) + t^7.98/(g1^3*g2^17*y) + (2*g1^2*t^8.06)/(g2^2*y) + (2*g1*t^8.16)/(g2^9*y) + (3*t^8.26)/(g2^16*y) + (2*g1^3*t^8.53)/(g2^15*y) + (g2^13*t^8.53)/(g1*y) + (g1*t^8.73)/(g2^29*y) + (2*g1*g2^7*t^8.9)/y - (t^4.31*y)/g2^4 - (g2*t^6.47*y)/g1 - (t^6.57*y)/(g1^2*g2^6) - (g1*t^6.84*y)/g2^5 - (t^7.04*y)/(g1*g2^19) - (g1^2*t^7.31*y)/g2^18 + (g2^10*t^7.31*y)/g1^2 + (g2^3*t^7.41*y)/g1^3 + g1*g2^11*t^7.59*y + 2*g2^4*t^7.69*y + (3*t^7.78*y)/(g1*g2^3) + (t^7.88*y)/(g1^2*g2^10) + (t^7.98*y)/(g1^3*g2^17) + (2*g1^2*t^8.06*y)/g2^2 + (2*g1*t^8.16*y)/g2^9 + (3*t^8.26*y)/g2^16 + (2*g1^3*t^8.53*y)/g2^15 + (g2^13*t^8.53*y)/g1 + (g1*t^8.73*y)/g2^29 + 2*g1*g2^7*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 4779 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_1M_4$ + $ M_7X_1$ | 0.6591 | 0.8181 | 0.8057 | [X:[1.3333], M:[1.1231, 0.7025, 0.9486, 0.8769, 1.1231, 1.0872, 0.6667, 0.8769], q:[0.5257, 0.3512], qb:[0.5257, 0.7718], phi:[0.4564]] | t^2.11 + 2*t^2.63 + t^2.85 + t^3.26 + t^3.37 + t^3.48 + t^3.89 + 2*t^4. + t^4.21 + 3*t^4.52 + 2*t^4.74 + t^4.95 + 3*t^5.26 + t^5.37 + t^5.48 + t^5.58 + t^5.69 + 2*t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 4783 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_2\phi_1q_2^2$ | 0.6906 | 0.8676 | 0.796 | [X:[], M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138, 0.7246, 0.8323], q:[0.6168, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | t^2.17 + t^2.34 + 2*t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.66 + t^3.99 + t^4.19 + 2*t^4.35 + 2*t^4.51 + 3*t^4.67 + 2*t^4.83 + 4*t^4.99 + t^5.03 + 2*t^5.16 + 2*t^5.32 + t^5.48 + t^5.52 + t^5.64 + t^5.68 + t^5.8 + 2*t^5.84 + t^5.96 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1546 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6781 | 0.8467 | 0.8009 | [X:[], M:[1.011, 0.7404, 0.9027, 0.8487, 1.1513, 1.1243, 0.7134], q:[0.6188, 0.3702], qb:[0.4785, 0.7811], phi:[0.4379]] | t^2.14 + t^2.22 + t^2.55 + t^2.71 + t^3.03 + t^3.37 + t^3.45 + t^3.53 + t^4.18 + t^4.2 + 2*t^4.28 + t^4.36 + t^4.44 + t^4.61 + t^4.69 + t^4.77 + t^4.85 + t^4.93 + t^5.03 + t^5.09 + t^5.17 + t^5.25 + t^5.42 + t^5.51 + 2*t^5.59 + t^5.68 + t^5.74 + t^5.76 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail |