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 |
|---|---|---|---|---|---|---|---|---|---|
| 46995 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_5$ + $ M_6\phi_1q_1^2$ | 0.6384 | 0.793 | 0.805 | [X:[], M:[1.1551, 0.688, 0.8449, 0.8521, 1.1479, 0.7629], q:[0.426, 0.4189], qb:[0.8859, 0.729], phi:[0.385]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [6, 8], [7, 9]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_6^2$, $ M_2M_3$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_5$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_2\phi_1q_2^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_6\phi_1q_2^2$, $ M_3M_5$, $ M_6\phi_1q_1q_2$, $ \phi_1^3q_2^2$, $ M_2q_2\tilde{q}_1$ | $\phi_1^3q_1q_2$ | -1 | t^2.06 + t^2.29 + t^2.31 + t^2.53 + t^3.44 + t^3.47 + t^3.67 + t^3.69 + t^3.91 + t^4.13 + t^4.35 + t^4.37 + t^4.58 + 2*t^4.6 + t^4.62 + t^4.82 + 2*t^4.84 + t^5.07 + t^5.51 + t^5.53 + 2*t^5.73 + 2*t^5.75 + t^5.96 + 3*t^5.98 - t^6. - t^6.02 + t^6.19 + 2*t^6.2 + t^6.22 - t^6.25 + t^6.42 + t^6.44 + t^6.45 + t^6.64 + 2*t^6.66 + t^6.68 + t^6.87 + 3*t^6.89 + 3*t^6.91 + t^6.93 + 2*t^7.11 + 3*t^7.13 - t^7.18 + t^7.34 + 2*t^7.36 - 2*t^7.4 + t^7.57 + t^7.58 + t^7.59 + t^7.6 - t^7.63 + 2*t^7.8 + 2*t^7.82 + t^7.83 + 2*t^8.02 + 4*t^8.04 - t^8.06 - t^8.09 + t^8.25 + t^8.26 + 4*t^8.27 - 3*t^8.31 - t^8.33 + t^8.48 + 2*t^8.49 + t^8.5 + 3*t^8.51 - 3*t^8.53 - 3*t^8.56 + t^8.71 + 2*t^8.73 + 2*t^8.74 + t^8.75 + t^8.76 - 2*t^8.78 + t^8.93 + 3*t^8.95 + 3*t^8.97 + t^8.98 + t^8.99 - t^4.16/y - t^6.22/y - t^6.44/y - t^6.47/y + t^7.35/y + t^7.37/y + (2*t^7.6)/y + t^7.82/y + (2*t^7.84)/y + t^7.87/y + t^8.09/y - t^8.28/y + t^8.73/y + (2*t^8.75)/y + t^8.96/y + (4*t^8.98)/y - t^4.16*y - t^6.22*y - t^6.44*y - t^6.47*y + t^7.35*y + t^7.37*y + 2*t^7.6*y + t^7.82*y + 2*t^7.84*y + t^7.87*y + t^8.09*y - t^8.28*y + t^8.73*y + 2*t^8.75*y + t^8.96*y + 4*t^8.98*y | g1^2*g2^4*t^2.06 + g1^7*g2^9*t^2.29 + t^2.31/(g1^2*g2^2) + g1^3*g2^3*t^2.53 + g1^6*g2^8*t^3.44 + t^3.47/(g1^3*g2^3) + g1^11*g2^13*t^3.67 + g1^2*g2^2*t^3.69 + g1^7*g2^7*t^3.91 + g1^4*g2^8*t^4.13 + g1^9*g2^13*t^4.35 + g2^2*t^4.37 + g1^14*g2^18*t^4.58 + 2*g1^5*g2^7*t^4.6 + t^4.62/(g1^4*g2^4) + g1^10*g2^12*t^4.82 + 2*g1*g2*t^4.84 + g1^6*g2^6*t^5.07 + g1^8*g2^12*t^5.51 + (g2*t^5.53)/g1 + 2*g1^13*g2^17*t^5.73 + 2*g1^4*g2^6*t^5.75 + g1^18*g2^22*t^5.96 + 3*g1^9*g2^11*t^5.98 - t^6. - t^6.02/(g1^9*g2^11) + g1^6*g2^12*t^6.19 + 2*g1^14*g2^16*t^6.2 + g1^5*g2^5*t^6.22 - t^6.25/(g1^4*g2^6) + g1^11*g2^17*t^6.42 + g1^2*g2^6*t^6.44 + g1^10*g2^10*t^6.45 + g1^16*g2^22*t^6.64 + 2*g1^7*g2^11*t^6.66 + t^6.68/g1^2 + g1^21*g2^27*t^6.87 + 3*g1^12*g2^16*t^6.89 + 3*g1^3*g2^5*t^6.91 + t^6.93/(g1^6*g2^6) + 2*g1^17*g2^21*t^7.11 + 3*g1^8*g2^10*t^7.13 - t^7.18/(g1^10*g2^12) + g1^22*g2^26*t^7.34 + 2*g1^13*g2^15*t^7.36 - (2*t^7.4)/(g1^5*g2^7) + g1^10*g2^16*t^7.57 + g1^18*g2^20*t^7.58 + g1*g2^5*t^7.59 + g1^9*g2^9*t^7.6 - t^7.63/g2^2 + 2*g1^15*g2^21*t^7.8 + 2*g1^6*g2^10*t^7.82 + g1^14*g2^14*t^7.83 + 2*g1^20*g2^26*t^8.02 + 4*g1^11*g2^15*t^8.04 - g1^2*g2^4*t^8.06 - t^8.09/(g1^7*g2^7) + g1^25*g2^31*t^8.25 + g1^8*g2^16*t^8.26 + 4*g1^16*g2^20*t^8.27 - (3*t^8.31)/(g1^2*g2^2) - t^8.33/(g1^11*g2^13) + g1^13*g2^21*t^8.48 + 2*g1^21*g2^25*t^8.49 + g1^4*g2^10*t^8.5 + 3*g1^12*g2^14*t^8.51 - 3*g1^3*g2^3*t^8.53 - (3*t^8.56)/(g1^6*g2^8) + g1^18*g2^26*t^8.71 + 2*g1^9*g2^15*t^8.73 + 2*g1^17*g2^19*t^8.74 + g2^4*t^8.75 + g1^8*g2^8*t^8.76 - (2*t^8.78)/(g1*g2^3) + g1^23*g2^31*t^8.93 + 3*g1^14*g2^20*t^8.95 + 3*g1^5*g2^9*t^8.97 + g1^13*g2^13*t^8.98 + t^8.99/(g1^4*g2^2) - t^4.16/(g1*g2*y) - (g1*g2^3*t^6.22)/y - (g1^6*g2^8*t^6.44)/y - t^6.47/(g1^3*g2^3*y) + (g1^9*g2^13*t^7.35)/y + (g2^2*t^7.37)/y + (2*g1^5*g2^7*t^7.6)/y + (g1^10*g2^12*t^7.82)/y + (2*g1*g2*t^7.84)/y + t^7.87/(g1^8*g2^10*y) + t^8.09/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.28)/y + (g1^13*g2^17*t^8.73)/y + (2*g1^4*g2^6*t^8.75)/y + (g1^18*g2^22*t^8.96)/y + (4*g1^9*g2^11*t^8.98)/y - (t^4.16*y)/(g1*g2) - g1*g2^3*t^6.22*y - g1^6*g2^8*t^6.44*y - (t^6.47*y)/(g1^3*g2^3) + g1^9*g2^13*t^7.35*y + g2^2*t^7.37*y + 2*g1^5*g2^7*t^7.6*y + g1^10*g2^12*t^7.82*y + 2*g1*g2*t^7.84*y + (t^7.87*y)/(g1^8*g2^10) + (t^8.09*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.28*y + g1^13*g2^17*t^8.73*y + 2*g1^4*g2^6*t^8.75*y + g1^18*g2^22*t^8.96*y + 4*g1^9*g2^11*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 |
|---|---|---|---|---|---|---|---|---|
| 55321 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_5$ + $ M_6\phi_1q_1^2$ + $ M_7\phi_1q_1q_2$ | 0.6567 | 0.8256 | 0.7954 | [X:[], M:[1.1485, 0.6802, 0.8515, 0.8512, 1.1488, 0.766, 0.7657], q:[0.4256, 0.4259], qb:[0.8942, 0.723], phi:[0.3828]] | t^2.04 + 3*t^2.3 + t^2.55 + 2*t^3.45 + t^3.7 + t^3.96 + t^4.08 + 3*t^4.34 + 3*t^4.59 + 4*t^4.6 + 4*t^4.85 + t^5.11 + 2*t^5.49 + 5*t^5.74 + t^6. - t^4.15/y - t^4.15*y | detail | |
| 50774 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_5$ + $ M_6\phi_1q_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6301 | 0.7812 | 0.8066 | [X:[], M:[1.2032, 0.7968, 0.7968, 0.8075, 1.1925, 0.7914], q:[0.4038, 0.393], qb:[0.7995, 0.7995], phi:[0.4011]] | t^2.37 + 2*t^2.39 + t^2.41 + t^3.56 + 2*t^3.58 + t^3.59 + t^3.61 + t^4.75 + 2*t^4.76 + 4*t^4.78 + 3*t^4.8 + t^4.81 + t^5.94 + 4*t^5.95 + 5*t^5.97 + 3*t^5.98 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46616 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_5$ | 0.6206 | 0.7586 | 0.8181 | [X:[], M:[1.1494, 0.7075, 0.8506, 0.8251, 1.1749], q:[0.4125, 0.438], qb:[0.88, 0.7369], phi:[0.3831]] | t^2.12 + t^2.3 + t^2.55 + t^3.45 + t^3.52 + t^3.62 + t^3.7 + t^3.78 + t^3.95 + t^4.24 + t^4.42 + t^4.6 + t^4.67 + 2*t^4.85 + t^5.1 + t^5.57 + t^5.65 + t^5.75 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail |