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 |
|---|---|---|---|---|---|---|---|---|---|
| 1735 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ | 0.6102 | 0.7816 | 0.7806 | [X:[], M:[1.0, 1.0442, 0.9116, 0.6905], q:[0.761, 0.239], qb:[0.5484, 0.54], phi:[0.4779]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_4$, $ M_4\phi_1q_2^2$, $ M_1M_4$, $ M_2M_4$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_2q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2^4$, $ M_4\phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_4\phi_1q_2\tilde{q}_1$ | . | -2 | t^2.07 + t^2.34 + t^2.36 + t^2.73 + t^2.87 + t^3. + t^3.13 + t^3.77 + t^3.8 + t^3.9 + t^4.14 + t^4.41 + t^4.43 + 2*t^4.67 + 2*t^4.7 + 2*t^4.72 + t^4.81 + t^4.94 + t^5.07 + 2*t^5.2 + t^5.23 + t^5.34 + t^5.36 + 2*t^5.47 + t^5.49 + t^5.6 + 2*t^5.73 + t^5.84 + 2*t^5.87 - 2*t^6. - t^6.03 + t^6.11 + 2*t^6.13 + t^6.16 + t^6.21 + t^6.24 + t^6.27 + t^6.48 + t^6.51 + t^6.64 + 2*t^6.75 + 2*t^6.77 + t^6.8 + t^6.88 - t^6.93 + 3*t^7.01 + 3*t^7.04 + 2*t^7.06 + 2*t^7.09 + t^7.14 + 2*t^7.28 + t^7.3 + t^7.41 - t^7.43 + 4*t^7.54 + t^7.57 + 2*t^7.59 + 3*t^7.67 + t^7.7 + t^7.72 + 4*t^7.81 + t^7.83 + t^7.86 + t^7.91 + 2*t^7.94 - t^8.07 + t^8.18 + 3*t^8.2 + t^8.23 + t^8.29 - 2*t^8.34 - 4*t^8.36 - t^8.39 + 2*t^8.44 + 4*t^8.47 + 2*t^8.49 + 2*t^8.52 + t^8.55 + 3*t^8.58 + 3*t^8.6 + t^8.63 + t^8.71 - t^8.73 + 2*t^8.82 + t^8.84 - 2*t^8.87 - t^8.89 + t^8.95 - t^4.43/y - t^6.51/y - t^7.17/y + t^7.41/y + t^7.43/y + (2*t^7.7)/y + t^7.81/y + t^7.94/y + (2*t^8.07)/y + t^8.1/y + (2*t^8.2)/y + t^8.23/y + t^8.34/y + (2*t^8.36)/y + t^8.47/y + t^8.49/y - t^8.58/y + t^8.6/y + t^8.73/y + t^8.84/y + (3*t^8.87)/y + t^8.97/y - t^4.43*y - t^6.51*y - t^7.17*y + t^7.41*y + t^7.43*y + 2*t^7.7*y + t^7.81*y + t^7.94*y + 2*t^8.07*y + t^8.1*y + 2*t^8.2*y + t^8.23*y + t^8.34*y + 2*t^8.36*y + t^8.47*y + t^8.49*y - t^8.58*y + t^8.6*y + t^8.73*y + t^8.84*y + 3*t^8.87*y + t^8.97*y | t^2.07/(g1^9*g2) + (g2^7*t^2.34)/g1 + (g1^7*t^2.36)/g2 + t^2.73/(g1^8*g2^8) + t^2.87/(g1^4*g2^4) + t^3. + g1^4*g2^4*t^3.13 + (g2^5*t^3.77)/g1^3 + (g1^5*t^3.8)/g2^3 + g1*g2^9*t^3.9 + t^4.14/(g1^18*g2^2) + (g2^6*t^4.41)/g1^10 + t^4.43/(g1^2*g2^2) + (2*g2^14*t^4.67)/g1^2 + 2*g1^6*g2^6*t^4.7 + (2*g1^14*t^4.72)/g2^2 + t^4.81/(g1^17*g2^9) + t^4.94/(g1^13*g2^5) + t^5.07/(g1^9*g2) + (2*g2^3*t^5.2)/g1^5 + (g1^3*t^5.23)/g2^5 + (g2^7*t^5.34)/g1 + (g1^7*t^5.36)/g2 + t^5.47/(g1^16*g2^16) + g1^3*g2^11*t^5.47 + g1^11*g2^3*t^5.49 + t^5.6/(g1^12*g2^12) + (2*t^5.73)/(g1^8*g2^8) + (g2^4*t^5.84)/g1^12 + (2*t^5.87)/(g1^4*g2^4) - 2*t^6. - (g1^8*t^6.03)/g2^8 + (g2^12*t^6.11)/g1^4 + 2*g1^4*g2^4*t^6.13 + (g1^12*t^6.16)/g2^4 + t^6.21/(g1^27*g2^3) + g2^16*t^6.24 + g1^8*g2^8*t^6.27 + (g2^5*t^6.48)/g1^19 + t^6.51/(g1^11*g2^3) + (g2*t^6.64)/g1^7 + (2*g2^13*t^6.75)/g1^11 + (2*g2^5*t^6.77)/g1^3 + (g1^5*t^6.8)/g2^3 + t^6.88/(g1^26*g2^10) - g1^9*g2*t^6.93 + t^7.01/(g1^22*g2^6) + (2*g2^21*t^7.01)/g1^3 + 3*g1^5*g2^13*t^7.04 + 2*g1^13*g2^5*t^7.06 + (2*g1^21*t^7.09)/g2^3 + t^7.14/(g1^18*g2^2) + (2*g2^2*t^7.28)/g1^14 + t^7.3/(g1^6*g2^6) + (g2^6*t^7.41)/g1^10 - t^7.43/(g1^2*g2^2) + t^7.54/(g1^25*g2^17) + (3*g2^10*t^7.54)/g1^6 + g1^2*g2^2*t^7.57 + (2*g1^10*t^7.59)/g2^6 + t^7.67/(g1^21*g2^13) + (2*g2^14*t^7.67)/g1^2 + g1^6*g2^6*t^7.7 + (g1^14*t^7.72)/g2^2 + (2*t^7.81)/(g1^17*g2^9) + 2*g1^2*g2^18*t^7.81 + g1^10*g2^10*t^7.83 + g1^18*g2^2*t^7.86 + (g2^3*t^7.91)/g1^21 + (2*t^7.94)/(g1^13*g2^5) - t^8.07/(g1^9*g2) + (g2^11*t^8.18)/g1^13 + t^8.2/(g1^24*g2^24) + (2*g2^3*t^8.2)/g1^5 + (g1^3*t^8.23)/g2^5 + t^8.29/(g1^36*g2^4) + t^8.34/(g1^20*g2^20) - (3*g2^7*t^8.34)/g1 - (4*g1^7*t^8.36)/g2 - (g1^15*t^8.39)/g2^9 + (2*g2^19*t^8.44)/g1^5 + (2*t^8.47)/(g1^16*g2^16) + 2*g1^3*g2^11*t^8.47 + 2*g1^11*g2^3*t^8.49 + (2*g1^19*t^8.52)/g2^5 + (g2^4*t^8.55)/g1^28 + t^8.58/(g1^20*g2^4) + (2*g2^23*t^8.58)/g1 + (2*t^8.6)/(g1^12*g2^12) + g1^7*g2^15*t^8.6 + g1^15*g2^7*t^8.63 + t^8.71/g1^16 - t^8.73/(g1^8*g2^8) + (2*g2^12*t^8.82)/g1^20 + (g2^4*t^8.84)/g1^12 - (2*t^8.87)/(g1^4*g2^4) - (g1^4*t^8.89)/g2^12 + t^8.95/(g1^35*g2^11) - t^4.43/(g1^2*g2^2*y) - t^6.51/(g1^11*g2^3*y) - t^7.17/(g1^10*g2^10*y) + (g2^6*t^7.41)/(g1^10*y) + t^7.43/(g1^2*g2^2*y) + (2*g1^6*g2^6*t^7.7)/y + t^7.81/(g1^17*g2^9*y) + t^7.94/(g1^13*g2^5*y) + (2*t^8.07)/(g1^9*g2*y) + t^8.1/(g1*g2^9*y) + (2*g2^3*t^8.2)/(g1^5*y) + (g1^3*t^8.23)/(g2^5*y) + (g2^7*t^8.34)/(g1*y) + (2*g1^7*t^8.36)/(g2*y) + (g1^3*g2^11*t^8.47)/y + (g1^11*g2^3*t^8.49)/y - t^8.58/(g1^20*g2^4*y) + t^8.6/(g1^12*g2^12*y) + t^8.73/(g1^8*g2^8*y) + (g2^4*t^8.84)/(g1^12*y) + (3*t^8.87)/(g1^4*g2^4*y) + (g2^8*t^8.97)/(g1^8*y) - (t^4.43*y)/(g1^2*g2^2) - (t^6.51*y)/(g1^11*g2^3) - (t^7.17*y)/(g1^10*g2^10) + (g2^6*t^7.41*y)/g1^10 + (t^7.43*y)/(g1^2*g2^2) + 2*g1^6*g2^6*t^7.7*y + (t^7.81*y)/(g1^17*g2^9) + (t^7.94*y)/(g1^13*g2^5) + (2*t^8.07*y)/(g1^9*g2) + (t^8.1*y)/(g1*g2^9) + (2*g2^3*t^8.2*y)/g1^5 + (g1^3*t^8.23*y)/g2^5 + (g2^7*t^8.34*y)/g1 + (2*g1^7*t^8.36*y)/g2 + g1^3*g2^11*t^8.47*y + g1^11*g2^3*t^8.49*y - (t^8.58*y)/(g1^20*g2^4) + (t^8.6*y)/(g1^12*g2^12) + (t^8.73*y)/(g1^8*g2^8) + (g2^4*t^8.84*y)/g1^12 + (3*t^8.87*y)/(g1^4*g2^4) + (g2^8*t^8.97*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2734 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.609 | 0.779 | 0.7817 | [X:[], M:[1.0, 1.0388, 0.9224, 0.7209], q:[0.7597, 0.2403], qb:[0.5194, 0.5582], phi:[0.4806]] | t^2.16 + t^2.28 + t^2.4 + t^2.77 + t^2.88 + t^3. + t^3.12 + t^3.72 + t^3.84 + t^3.95 + t^4.33 + t^4.44 + 3*t^4.56 + 2*t^4.67 + 2*t^4.79 + t^4.93 + t^5.05 + 2*t^5.16 + 3*t^5.28 + 2*t^5.4 + t^5.51 + t^5.53 + t^5.65 + 2*t^5.77 + t^5.88 - t^4.44/y - t^4.44*y | detail | |
| 2735 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6308 | 0.8213 | 0.7681 | [X:[], M:[1.0, 1.0477, 0.9045, 0.6903, 0.6903], q:[0.7619, 0.2381], qb:[0.5477, 0.5477], phi:[0.4761]] | 2*t^2.07 + 2*t^2.36 + t^2.71 + t^2.86 + t^3. + t^3.14 + 2*t^3.79 + 3*t^4.14 + 4*t^4.43 + 6*t^4.71 + 2*t^4.78 + 2*t^4.93 + 2*t^5.07 + 4*t^5.21 + 2*t^5.36 + t^5.43 + 2*t^5.5 + t^5.57 + 2*t^5.71 + 5*t^5.86 - 4*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 208 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ | 0.5895 | 0.742 | 0.7945 | [X:[], M:[1.0, 1.0406, 0.9189], q:[0.7601, 0.2399], qb:[0.5406, 0.5406], phi:[0.4797]] | 2*t^2.34 + t^2.76 + t^2.88 + t^3. + t^3.12 + 2*t^3.78 + 2*t^3.9 + 6*t^4.68 + 2*t^5.22 + 2*t^5.34 + 2*t^5.46 + t^5.51 + t^5.63 + 2*t^5.76 + t^5.88 - 4*t^6. - t^4.44/y - t^4.44*y | detail |