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 |
|---|---|---|---|---|---|---|---|---|---|
| 2650 | 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_3M_8$ | 0.6726 | 0.8389 | 0.8018 | [X:[], M:[1.0455, 0.775, 0.9804, 0.8401, 1.1599, 1.0898, 0.7048, 1.0196], q:[0.567, 0.3875], qb:[0.4526, 0.7724], phi:[0.4551]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [-1, 5], [1, 15]], 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_1$, $ M_6$, $ M_5$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_7$, $ M_4M_7$, $ M_2^2$, $ \phi_1q_1^2$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7M_8$, $ M_1M_7$, $ M_6M_7$, $ M_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_8$, $ M_2M_6$, $ M_5M_7$, $ M_4M_6$, $ M_2M_5$, $ M_7\phi_1q_2^2$ | . | -2 | t^2.11 + t^2.32 + t^2.52 + t^3.06 + t^3.14 + t^3.27 + t^3.48 + t^3.69 + t^4.02 + t^4.08 + 2*t^4.23 + t^4.42 + t^4.44 + t^4.63 + t^4.65 + t^4.77 + t^4.85 + t^5.04 + t^5.17 + t^5.25 + 2*t^5.38 + t^5.58 + 2*t^5.59 + t^5.79 + t^5.8 - 2*t^6. + t^6.02 + t^6.12 + t^6.13 + t^6.2 + t^6.27 + t^6.33 + 2*t^6.34 + t^6.41 + 2*t^6.54 + 2*t^6.55 + t^6.6 + 3*t^6.75 + t^6.76 + t^6.88 + t^6.96 + t^6.97 - t^7.02 + t^7.08 + t^7.09 + t^7.14 + t^7.17 + t^7.22 + 3*t^7.29 + t^7.38 + t^7.48 + 3*t^7.5 + t^7.56 + t^7.69 + 3*t^7.71 + t^7.83 + t^7.9 + 3*t^7.92 - t^7.98 + t^8.04 + t^8.1 - 2*t^8.11 + t^8.13 + t^8.16 + t^8.23 + 2*t^8.25 + t^8.31 - 3*t^8.32 + t^8.34 + t^8.39 + 2*t^8.44 + 3*t^8.46 + t^8.51 - 2*t^8.52 + t^8.6 + t^8.64 + 2*t^8.65 + 2*t^8.67 + t^8.79 + 2*t^8.85 + 2*t^8.86 + 2*t^8.88 - t^8.94 - t^4.37/y - t^6.48/y - t^6.69/y + t^7.23/y + t^7.44/y - t^7.5/y + t^7.63/y + t^7.85/y + t^8.04/y + t^8.17/y + (2*t^8.25)/y + (2*t^8.38)/y + t^8.46/y + t^8.58/y + t^8.59/y + t^8.66/y + t^8.79/y + t^8.8/y - t^4.37*y - t^6.48*y - t^6.69*y + t^7.23*y + t^7.44*y - t^7.5*y + t^7.63*y + t^7.85*y + t^8.04*y + t^8.17*y + 2*t^8.25*y + 2*t^8.38*y + t^8.46*y + t^8.58*y + t^8.59*y + t^8.66*y + t^8.79*y + t^8.8*y | (g2^5*t^2.11)/g1 + t^2.32/(g1^2*g2^2) + (g1*t^2.52)/g2 + g1*g2^15*t^3.06 + (g1^2*t^3.14)/g2^14 + g2^8*t^3.27 + (g2*t^3.48)/g1 + t^3.69/(g1^2*g2^6) + (g2^17*t^4.02)/g1 + (g1^4*t^4.08)/g2^4 + (2*g2^10*t^4.23)/g1^2 + g1*g2^11*t^4.42 + (g2^3*t^4.44)/g1^3 + g2^4*t^4.63 + t^4.65/(g1^4*g2^4) + (g2^26*t^4.77)/g1^2 + t^4.85/(g1*g2^3) + (g1^2*t^5.04)/g2^2 + g2^20*t^5.17 + (g1*t^5.25)/g2^9 + (2*g2^13*t^5.38)/g1 + g1^2*g2^14*t^5.58 + (2*g2^6*t^5.59)/g1^2 + g1*g2^7*t^5.79 + t^5.8/(g1^3*g2) - 2*t^6. + t^6.02/(g1^4*g2^8) + g1^2*g2^30*t^6.12 + (g2^22*t^6.13)/g1^2 + g1^3*g2*t^6.2 + (g1^4*t^6.27)/g2^28 + g1*g2^23*t^6.33 + (2*g2^15*t^6.34)/g1^3 + (g1^2*t^6.41)/g2^6 + 2*g2^16*t^6.54 + (2*g2^8*t^6.55)/g1^4 + (g1^5*t^6.6)/g2^5 + (3*g2^9*t^6.75)/g1 + (g2*t^6.76)/g1^5 + (g2^31*t^6.88)/g1^3 + (g2^2*t^6.96)/g1^2 + t^6.97/(g1^6*g2^6) - (g1^3*t^7.02)/g2^19 + g2^32*t^7.08 + (g2^24*t^7.09)/g1^4 + g1^5*g2^11*t^7.14 + t^7.17/(g1^3*g2^5) + (g1^6*t^7.22)/g2^18 + (3*g2^25*t^7.29)/g1 + t^7.38/(g1^4*g2^12) + g1^2*g2^26*t^7.48 + (3*g2^18*t^7.5)/g1^2 + (g1^3*t^7.56)/g2^3 + g1*g2^19*t^7.69 + (3*g2^11*t^7.71)/g1^3 + (g2^41*t^7.83)/g1 + g2^12*t^7.9 + (3*g2^4*t^7.92)/g1^4 - (g1*t^7.98)/g2^17 + (g2^34*t^8.04)/g1^2 + g1^3*g2^13*t^8.1 - (2*g2^5*t^8.11)/g1 + t^8.13/(g1^5*g2^3) + (g1^8*t^8.16)/g2^8 + g1*g2^35*t^8.23 + (2*g2^27*t^8.25)/g1^3 + g1^2*g2^6*t^8.31 - (3*t^8.32)/(g1^2*g2^2) + t^8.34/(g1^6*g2^10) + (g1^3*t^8.39)/g2^23 + 2*g2^28*t^8.44 + (3*g2^20*t^8.46)/g1^4 + g1^5*g2^7*t^8.51 - (2*g1*t^8.52)/g2 + (g1^2*t^8.6)/g2^30 + g1^3*g2^29*t^8.64 + (2*g2^21*t^8.65)/g1 + (2*g2^13*t^8.67)/g1^5 + (g2^43*t^8.79)/g1^3 + 2*g1^2*g2^22*t^8.85 + (2*g2^14*t^8.86)/g1^2 + (2*g2^6*t^8.88)/g1^6 - t^8.94/(g1*g2^15) - t^4.37/(g2^4*y) - (g2*t^6.48)/(g1*y) - t^6.69/(g1^2*g2^6*y) + (g2^10*t^7.23)/(g1^2*y) + (g2^3*t^7.44)/(g1^3*y) - (g1^2*t^7.5)/(g2^18*y) + (g2^4*t^7.63)/y + t^7.85/(g1*g2^3*y) + (g1^2*t^8.04)/(g2^2*y) + (g2^20*t^8.17)/y + (2*g1*t^8.25)/(g2^9*y) + (2*g2^13*t^8.38)/(g1*y) + t^8.46/(g2^16*y) + (g1^2*g2^14*t^8.58)/y + (g2^6*t^8.59)/(g1^2*y) + (g1^3*t^8.66)/(g2^15*y) + (g1*g2^7*t^8.79)/y + t^8.8/(g1^3*g2*y) - (t^4.37*y)/g2^4 - (g2*t^6.48*y)/g1 - (t^6.69*y)/(g1^2*g2^6) + (g2^10*t^7.23*y)/g1^2 + (g2^3*t^7.44*y)/g1^3 - (g1^2*t^7.5*y)/g2^18 + g2^4*t^7.63*y + (t^7.85*y)/(g1*g2^3) + (g1^2*t^8.04*y)/g2^2 + g2^20*t^8.17*y + (2*g1*t^8.25*y)/g2^9 + (2*g2^13*t^8.38*y)/g1 + (t^8.46*y)/g2^16 + g1^2*g2^14*t^8.58*y + (g2^6*t^8.59*y)/g1^2 + (g1^3*t^8.66*y)/g2^15 + g1*g2^7*t^8.79*y + (t^8.8*y)/(g1^3*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 4825 | $M_1q_1q_2$ + $ 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_3M_8$ + $ M_7M_8$ | 0.6433 | 0.7961 | 0.8081 | [X:[], M:[0.8894, 0.7106, 0.7553, 0.8447, 1.1553, 1.2, 0.7553, 1.2447], q:[0.7553, 0.3553], qb:[0.4894, 0.8], phi:[0.4]] | t^2.13 + t^2.27 + t^2.53 + t^2.67 + t^3.33 + t^3.47 + t^3.6 + t^3.73 + t^4.14 + t^4.26 + t^4.4 + 2*t^4.53 + 2*t^4.67 + t^4.8 + 2*t^4.93 + t^5.07 + t^5.34 + t^5.46 + t^5.6 + 3*t^5.73 + 2*t^5.87 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |