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 |
|---|---|---|---|---|---|---|---|---|---|
| 2676 | 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_2^2$ + $ M_3M_8$ | 0.671 | 0.8353 | 0.8033 | [X:[], M:[1.0384, 0.795, 1.0018, 0.8317, 1.1683, 1.0833, 0.7466, 0.9982], q:[0.5641, 0.3975], qb:[0.4341, 0.7708], phi:[0.4584]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [2, 6], [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\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_2M_7$, $ M_4M_7$, $ \phi_1q_1^2$, $ M_2^2$, $ 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_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_6M_7$, $ M_4M_8$, $ M_2M_6$, $ M_4M_6$, $ M_5M_7$, $ M_8^2$ | . | -2 | t^2.24 + t^2.39 + t^2.49 + t^2.99 + t^3.12 + t^3.25 + t^3.51 + t^3.87 + t^3.98 + t^4. + t^4.26 + t^4.37 + t^4.48 + t^4.62 + t^4.73 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.23 + t^5.35 + t^5.38 + 2*t^5.49 + t^5.64 + 2*t^5.74 + t^5.99 - 2*t^6. + t^6.11 + t^6.22 + t^6.23 + 2*t^6.24 + 2*t^6.36 + t^6.47 + 2*t^6.5 + t^6.61 + t^6.65 + t^6.72 + t^6.75 + 2*t^6.86 - t^6.88 + 2*t^6.97 + 2*t^7. + t^7.09 + t^7.12 + t^7.14 + t^7.16 + t^7.23 + 2*t^7.25 + t^7.36 + t^7.47 + t^7.48 + t^7.51 + t^7.59 + t^7.62 + 2*t^7.73 + t^7.75 + t^7.85 + 2*t^7.87 + t^7.96 + 3*t^7.98 - t^8. + t^8.01 + t^8.02 + t^8.23 - t^8.24 + t^8.26 + 2*t^8.35 + t^8.37 - 3*t^8.39 + t^8.46 + t^8.47 + 3*t^8.48 - 3*t^8.49 + t^8.6 + t^8.62 + t^8.63 + t^8.71 + 4*t^8.74 + t^8.76 + t^8.85 + t^8.86 + t^8.96 + t^8.97 + t^8.98 - t^8.99 - t^4.38/y - t^6.61/y - t^6.76/y + t^7.26/y - t^7.49/y + t^7.62/y + t^7.73/y + t^7.88/y + t^7.99/y + t^8.14/y + t^8.23/y + t^8.35/y + t^8.38/y + (2*t^8.49)/y + t^8.5/y + t^8.61/y + t^8.64/y + (2*t^8.74)/y - t^8.85/y + t^8.89/y - t^4.38*y - t^6.61*y - t^6.76*y + t^7.26*y - t^7.49*y + t^7.62*y + t^7.73*y + t^7.88*y + t^7.99*y + t^8.14*y + t^8.23*y + t^8.35*y + t^8.38*y + 2*t^8.49*y + t^8.5*y + t^8.61*y + t^8.64*y + 2*t^8.74*y - t^8.85*y + t^8.89*y | g1^2*g2^6*t^2.24 + t^2.39/(g1^2*g2^2) + (g1*t^2.49)/g2 + g1*g2^15*t^2.99 + (g1^2*t^3.12)/g2^14 + g2^8*t^3.25 + (g2*t^3.51)/g1 + (g1*t^3.87)/g2^5 + (g1^4*t^3.98)/g2^4 + (g2^17*t^4.)/g1 + (g2^10*t^4.26)/g1^2 + g1*g2^11*t^4.37 + g1^4*g2^12*t^4.48 + g2^4*t^4.62 + g1^3*g2^5*t^4.73 + (g2^26*t^4.76)/g1^2 + t^4.77/(g1^4*g2^4) + t^4.88/(g1*g2^3) + (g1^2*t^4.99)/g2^2 + g1^3*g2^21*t^5.23 + (g1^4*t^5.35)/g2^8 + (g2^13*t^5.38)/g1 + 2*g1^2*g2^14*t^5.49 + (g2^6*t^5.64)/g1^2 + 2*g1*g2^7*t^5.74 + g1^2*g2^30*t^5.99 - 2*t^6. + g1^3*g2*t^6.11 + g1^6*g2^2*t^6.22 + (g1^4*t^6.23)/g2^28 + 2*g1*g2^23*t^6.24 + (2*g1^2*t^6.36)/g2^6 + (g1^5*t^6.47)/g2^5 + 2*g2^16*t^6.5 + g1^3*g2^17*t^6.61 + (g2^8*t^6.65)/g1^4 + g1^6*g2^18*t^6.72 + (g2^9*t^6.75)/g1 + 2*g1^2*g2^10*t^6.86 - t^6.88/g2^20 + 2*g1^5*g2^11*t^6.97 + 2*g2^32*t^7. + (g1^6*t^7.09)/g2^18 + g1*g2^3*t^7.12 + (g2^24*t^7.14)/g1^4 + t^7.16/(g1^6*g2^6) + g1^4*g2^4*t^7.23 + (2*g2^25*t^7.25)/g1 + g1^2*g2^26*t^7.36 + g1^5*g2^27*t^7.47 + (g1^3*t^7.48)/g2^3 + (g2^18*t^7.51)/g1^2 + (g1^6*t^7.59)/g2^2 + g1*g2^19*t^7.62 + 2*g1^4*g2^20*t^7.73 + (g2^41*t^7.75)/g1 + (g1^5*t^7.85)/g2^9 + 2*g2^12*t^7.87 + (g1^8*t^7.96)/g2^8 + 3*g1^3*g2^13*t^7.98 - (g1*t^8.)/g2^17 + (g2^34*t^8.01)/g1^2 + (g2^4*t^8.02)/g1^4 + g1^4*g2^36*t^8.23 - g1^2*g2^6*t^8.24 + (g2^27*t^8.26)/g1^3 + 2*g1^5*g2^7*t^8.35 + g2^28*t^8.37 - (3*t^8.39)/(g1^2*g2^2) + g1^8*g2^8*t^8.46 + (g1^6*t^8.47)/g2^22 + 3*g1^3*g2^29*t^8.48 - (3*g1*t^8.49)/g2 + g1^4*t^8.6 + (g1^2*t^8.62)/g2^30 + (g2^21*t^8.63)/g1 + g1^7*g2*t^8.71 + 4*g1^2*g2^22*t^8.74 + (g2^43*t^8.76)/g1^3 + g1^5*g2^23*t^8.85 + (g1^3*t^8.86)/g2^7 + g1^8*g2^24*t^8.96 + (g1^6*t^8.97)/g2^6 + g1^3*g2^45*t^8.98 - g1*g2^15*t^8.99 - t^4.38/(g2^4*y) - (g1^2*g2^2*t^6.61)/y - t^6.76/(g1^2*g2^6*y) + (g2^10*t^7.26)/(g1^2*y) - (g1^2*t^7.49)/(g2^18*y) + (g2^4*t^7.62)/y + (g1^3*g2^5*t^7.73)/y + t^7.88/(g1*g2^3*y) + (g1^2*t^7.99)/(g2^2*y) + t^8.14/(g1^2*g2^10*y) + (g1^3*g2^21*t^8.23)/y + (g1^4*t^8.35)/(g2^8*y) + (g2^13*t^8.38)/(g1*y) + (2*g1^2*g2^14*t^8.49)/y + t^8.5/(g2^16*y) + (g1^3*t^8.61)/(g2^15*y) + (g2^6*t^8.64)/(g1^2*y) + (2*g1*g2^7*t^8.74)/y - (g1^4*g2^8*t^8.85)/y + t^8.89/(g1^3*g2*y) - (t^4.38*y)/g2^4 - g1^2*g2^2*t^6.61*y - (t^6.76*y)/(g1^2*g2^6) + (g2^10*t^7.26*y)/g1^2 - (g1^2*t^7.49*y)/g2^18 + g2^4*t^7.62*y + g1^3*g2^5*t^7.73*y + (t^7.88*y)/(g1*g2^3) + (g1^2*t^7.99*y)/g2^2 + (t^8.14*y)/(g1^2*g2^10) + g1^3*g2^21*t^8.23*y + (g1^4*t^8.35*y)/g2^8 + (g2^13*t^8.38*y)/g1 + 2*g1^2*g2^14*t^8.49*y + (t^8.5*y)/g2^16 + (g1^3*t^8.61*y)/g2^15 + (g2^6*t^8.64*y)/g1^2 + 2*g1*g2^7*t^8.74*y - g1^4*g2^8*t^8.85*y + (t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 4851 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_3M_8$ + $ M_1M_7$ | 0.6525 | 0.8129 | 0.8027 | [X:[], M:[1.1666, 0.7, 0.9832, 0.8833, 1.1167, 1.0667, 0.8334, 1.0168], q:[0.4834, 0.35], qb:[0.5334, 0.7667], phi:[0.4666]] | t^2.1 + t^2.5 + t^2.65 + t^3.05 + t^3.2 + t^3.35 + t^3.5 + t^3.75 + t^3.9 + t^4.05 + t^4.2 + t^4.3 + t^4.45 + 2*t^4.6 + t^4.75 + t^5. + 2*t^5.15 + 2*t^5.3 + t^5.55 + 2*t^5.7 + 2*t^5.85 - t^4.4/y - t^4.4*y | detail | |
| 4852 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_3M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.6918 | 0.8766 | 0.7892 | [X:[], M:[1.0397, 0.7938, 1.0012, 0.8323, 1.1677, 1.0833, 0.7479, 0.9988, 0.6708], q:[0.5634, 0.3969], qb:[0.4354, 0.7708], phi:[0.4584]] | t^2.01 + t^2.24 + t^2.38 + t^2.5 + t^3. + t^3.12 + t^3.25 + t^3.5 + t^3.87 + t^4. + t^4.02 + 2*t^4.26 + t^4.37 + t^4.39 + t^4.49 + t^4.51 + t^4.62 + t^4.74 + 2*t^4.76 + t^4.88 + t^4.99 + t^5.01 + t^5.13 + t^5.24 + t^5.26 + t^5.36 + t^5.38 + 2*t^5.49 + t^5.52 + t^5.63 + 2*t^5.75 + t^5.88 + t^5.99 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1544 | 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_2^2$ | 0.6741 | 0.8369 | 0.8055 | [X:[], M:[1.0013, 0.7671, 0.9309, 0.8375, 1.1625, 1.1158, 0.7907], q:[0.6152, 0.3836], qb:[0.4539, 0.7789], phi:[0.4421]] | t^2.3 + t^2.37 + t^2.51 + t^2.79 + t^3. + t^3.35 + t^3.49 + t^3.84 + t^4.05 + t^4.18 + t^4.32 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.81 + t^4.88 + 2*t^5.02 + t^5.09 + t^5.17 + t^5.31 + t^5.38 + t^5.59 + t^5.65 + t^5.72 + t^5.8 + 2*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*y | detail |