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 |
|---|---|---|---|---|---|---|---|---|---|
| 46407 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6659 | 0.8858 | 0.7517 | [X:[], M:[0.7042, 0.7042, 1.0, 0.7408, 0.7408], q:[0.7592, 0.5366], qb:[0.5366, 0.2408], phi:[0.4817]] | [X:[], M:[[1, 9], [-1, 1], [0, 0], [1, 5], [-1, -3]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_5$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2M_5$, $ M_2M_4$, $ M_1M_5$, $ M_1M_4$, $ M_5^2$, $ M_2q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3M_5$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2^3$, $ M_3M_4$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ M_3\phi_1\tilde{q}_2^2$ | . | -5 | 2*t^2.11 + 2*t^2.22 + 2*t^2.33 + 2*t^2.89 + t^3. + t^3.22 + 3*t^4.23 + 4*t^4.34 + 7*t^4.45 + 4*t^4.55 + 6*t^4.66 + 4*t^5. + 4*t^5.11 + 6*t^5.22 + 4*t^5.33 + 2*t^5.44 + 2*t^5.55 + 3*t^5.78 + t^5.89 - 5*t^6. + t^6.11 + 4*t^6.34 + t^6.44 + 6*t^6.45 + 10*t^6.56 + 10*t^6.67 + 14*t^6.78 + 8*t^6.89 + 8*t^7. + 6*t^7.12 + 7*t^7.23 + 14*t^7.34 + 10*t^7.45 + 15*t^7.55 + 9*t^7.66 + t^7.77 + 6*t^7.88 + 6*t^7.89 + 4*t^8. - 4*t^8.11 - 6*t^8.22 - 12*t^8.33 - 2*t^8.44 + 5*t^8.45 + 8*t^8.56 + 2*t^8.66 + 17*t^8.67 + 2*t^8.77 + 16*t^8.78 + 12*t^8.89 - t^4.45/y - (2*t^6.56)/y - (2*t^6.67)/y + t^7.23/y + (3*t^7.34)/y + (5*t^7.45)/y + (5*t^7.55)/y + t^7.66/y + (4*t^8.)/y + (6*t^8.11)/y + (8*t^8.22)/y + (6*t^8.33)/y + (2*t^8.44)/y + (2*t^8.55)/y - (3*t^8.67)/y - (3*t^8.78)/y - t^8.89/y - t^4.45*y - 2*t^6.56*y - 2*t^6.67*y + t^7.23*y + 3*t^7.34*y + 5*t^7.45*y + 5*t^7.55*y + t^7.66*y + 4*t^8.*y + 6*t^8.11*y + 8*t^8.22*y + 6*t^8.33*y + 2*t^8.44*y + 2*t^8.55*y - 3*t^8.67*y - 3*t^8.78*y - t^8.89*y | (g2*t^2.11)/g1 + g1*g2^9*t^2.11 + t^2.22/(g1*g2^3) + g1*g2^5*t^2.22 + t^2.33/(g1*g2^7) + g1*g2*t^2.33 + 2*g2^4*t^2.89 + t^3. + t^3.22/g2^8 + (g2^2*t^4.23)/g1^2 + g2^10*t^4.23 + g1^2*g2^18*t^4.23 + t^4.34/(g1^2*g2^2) + 2*g2^6*t^4.34 + g1^2*g2^14*t^4.34 + (2*t^4.45)/(g1^2*g2^6) + 3*g2^2*t^4.45 + 2*g1^2*g2^10*t^4.45 + t^4.55/(g1^2*g2^10) + (2*t^4.55)/g2^2 + g1^2*g2^6*t^4.55 + (2*t^4.66)/(g1^2*g2^14) + (2*t^4.66)/g2^6 + 2*g1^2*g2^2*t^4.66 + (2*g2^5*t^5.)/g1 + 2*g1*g2^13*t^5. + (2*g2*t^5.11)/g1 + 2*g1*g2^9*t^5.11 + (3*t^5.22)/(g1*g2^3) + 3*g1*g2^5*t^5.22 + (2*t^5.33)/(g1*g2^7) + 2*g1*g2*t^5.33 + t^5.44/(g1*g2^11) + (g1*t^5.44)/g2^3 + t^5.55/(g1*g2^15) + (g1*t^5.55)/g2^7 + 3*g2^8*t^5.78 + g2^4*t^5.89 - 3*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + t^6.11/g2^4 + (g2^3*t^6.34)/g1^3 + (g2^11*t^6.34)/g1 + g1*g2^19*t^6.34 + g1^3*g2^27*t^6.34 + t^6.44/g2^16 + t^6.45/(g1^3*g2) + (2*g2^7*t^6.45)/g1 + 2*g1*g2^15*t^6.45 + g1^3*g2^23*t^6.45 + (2*t^6.56)/(g1^3*g2^5) + (3*g2^3*t^6.56)/g1 + 3*g1*g2^11*t^6.56 + 2*g1^3*g2^19*t^6.56 + (2*t^6.67)/(g1^3*g2^9) + (3*t^6.67)/(g1*g2) + 3*g1*g2^7*t^6.67 + 2*g1^3*g2^15*t^6.67 + (3*t^6.78)/(g1^3*g2^13) + (4*t^6.78)/(g1*g2^5) + 4*g1*g2^3*t^6.78 + 3*g1^3*g2^11*t^6.78 + (2*t^6.89)/(g1^3*g2^17) + (2*t^6.89)/(g1*g2^9) + (2*g1*t^6.89)/g2 + 2*g1^3*g2^7*t^6.89 + (2*t^7.)/(g1^3*g2^21) + (2*t^7.)/(g1*g2^13) + (2*g1*t^7.)/g2^5 + 2*g1^3*g2^3*t^7. + (2*g2^6*t^7.12)/g1^2 + 2*g2^14*t^7.12 + 2*g1^2*g2^22*t^7.12 + (2*g2^2*t^7.23)/g1^2 + 3*g2^10*t^7.23 + 2*g1^2*g2^18*t^7.23 + (4*t^7.34)/(g1^2*g2^2) + 6*g2^6*t^7.34 + 4*g1^2*g2^14*t^7.34 + (3*t^7.45)/(g1^2*g2^6) + 4*g2^2*t^7.45 + 3*g1^2*g2^10*t^7.45 + (5*t^7.55)/(g1^2*g2^10) + (5*t^7.55)/g2^2 + 5*g1^2*g2^6*t^7.55 + (3*t^7.66)/(g1^2*g2^14) + (3*t^7.66)/g2^6 + 3*g1^2*g2^2*t^7.66 + t^7.77/g2^10 + (2*t^7.88)/(g1^2*g2^22) + (2*t^7.88)/g2^14 + (2*g1^2*t^7.88)/g2^6 + (3*g2^9*t^7.89)/g1 + 3*g1*g2^17*t^7.89 + (2*g2^5*t^8.)/g1 + 2*g1*g2^13*t^8. - t^8.11/(g1^3*g2^7) - (g2*t^8.11)/g1 - g1*g2^9*t^8.11 - g1^3*g2^17*t^8.11 - t^8.22/(g1^3*g2^11) - (2*t^8.22)/(g1*g2^3) - 2*g1*g2^5*t^8.22 - g1^3*g2^13*t^8.22 - t^8.33/(g1^3*g2^15) - (5*t^8.33)/(g1*g2^7) - 5*g1*g2*t^8.33 - g1^3*g2^9*t^8.33 - t^8.44/(g1*g2^11) - (g1*t^8.44)/g2^3 + (g2^4*t^8.45)/g1^4 + (g2^12*t^8.45)/g1^2 + g2^20*t^8.45 + g1^2*g2^28*t^8.45 + g1^4*g2^36*t^8.45 + t^8.56/g1^4 + (2*g2^8*t^8.56)/g1^2 + 2*g2^16*t^8.56 + 2*g1^2*g2^24*t^8.56 + g1^4*g2^32*t^8.56 + t^8.66/(g1*g2^19) + (g1*t^8.66)/g2^11 + (2*t^8.67)/(g1^4*g2^4) + (3*g2^4*t^8.67)/g1^2 + 7*g2^12*t^8.67 + 3*g1^2*g2^20*t^8.67 + 2*g1^4*g2^28*t^8.67 + t^8.77/(g1*g2^23) + (g1*t^8.77)/g2^15 + (4*t^8.78)/g1^2 + (2*t^8.78)/(g1^4*g2^8) + 4*g2^8*t^8.78 + 4*g1^2*g2^16*t^8.78 + 2*g1^4*g2^24*t^8.78 + (4*t^8.89)/(g1^4*g2^12) + (3*t^8.89)/(g1^2*g2^4) - 2*g2^4*t^8.89 + 3*g1^2*g2^12*t^8.89 + 4*g1^4*g2^20*t^8.89 - (g2^2*t^4.45)/y - (g2^3*t^6.56)/(g1*y) - (g1*g2^11*t^6.56)/y - t^6.67/(g1*g2*y) - (g1*g2^7*t^6.67)/y + (g2^10*t^7.23)/y + t^7.34/(g1^2*g2^2*y) + (g2^6*t^7.34)/y + (g1^2*g2^14*t^7.34)/y + t^7.45/(g1^2*g2^6*y) + (3*g2^2*t^7.45)/y + (g1^2*g2^10*t^7.45)/y + t^7.55/(g1^2*g2^10*y) + (3*t^7.55)/(g2^2*y) + (g1^2*g2^6*t^7.55)/y + t^7.66/(g2^6*y) + (2*g2^5*t^8.)/(g1*y) + (2*g1*g2^13*t^8.)/y + (3*g2*t^8.11)/(g1*y) + (3*g1*g2^9*t^8.11)/y + (4*t^8.22)/(g1*g2^3*y) + (4*g1*g2^5*t^8.22)/y + (3*t^8.33)/(g1*g2^7*y) + (3*g1*g2*t^8.33)/y + t^8.44/(g1*g2^11*y) + (g1*t^8.44)/(g2^3*y) + t^8.55/(g1*g2^15*y) + (g1*t^8.55)/(g2^7*y) - (g2^4*t^8.67)/(g1^2*y) - (g2^12*t^8.67)/y - (g1^2*g2^20*t^8.67)/y - t^8.78/(g1^2*y) - (g2^8*t^8.78)/y - (g1^2*g2^16*t^8.78)/y - t^8.89/(g1^2*g2^4*y) + (g2^4*t^8.89)/y - (g1^2*g2^12*t^8.89)/y - g2^2*t^4.45*y - (g2^3*t^6.56*y)/g1 - g1*g2^11*t^6.56*y - (t^6.67*y)/(g1*g2) - g1*g2^7*t^6.67*y + g2^10*t^7.23*y + (t^7.34*y)/(g1^2*g2^2) + g2^6*t^7.34*y + g1^2*g2^14*t^7.34*y + (t^7.45*y)/(g1^2*g2^6) + 3*g2^2*t^7.45*y + g1^2*g2^10*t^7.45*y + (t^7.55*y)/(g1^2*g2^10) + (3*t^7.55*y)/g2^2 + g1^2*g2^6*t^7.55*y + (t^7.66*y)/g2^6 + (2*g2^5*t^8.*y)/g1 + 2*g1*g2^13*t^8.*y + (3*g2*t^8.11*y)/g1 + 3*g1*g2^9*t^8.11*y + (4*t^8.22*y)/(g1*g2^3) + 4*g1*g2^5*t^8.22*y + (3*t^8.33*y)/(g1*g2^7) + 3*g1*g2*t^8.33*y + (t^8.44*y)/(g1*g2^11) + (g1*t^8.44*y)/g2^3 + (t^8.55*y)/(g1*g2^15) + (g1*t^8.55*y)/g2^7 - (g2^4*t^8.67*y)/g1^2 - g2^12*t^8.67*y - g1^2*g2^20*t^8.67*y - (t^8.78*y)/g1^2 - g2^8*t^8.78*y - g1^2*g2^16*t^8.78*y - (t^8.89*y)/(g1^2*g2^4) + g2^4*t^8.89*y - g1^2*g2^12*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 46991 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_6$ | 0.6455 | 0.8475 | 0.7617 | [X:[], M:[0.7063, 0.7167, 1.0, 0.7371, 0.7475, 1.2833], q:[0.7577, 0.536], qb:[0.5256, 0.2423], phi:[0.4846]] | t^2.12 + t^2.21 + t^2.24 + t^2.3 + t^2.33 + 2*t^2.91 + t^3. + t^3.18 + t^3.85 + t^4.24 + t^4.33 + t^4.36 + 2*t^4.42 + 2*t^4.45 + t^4.48 + t^4.52 + 2*t^4.55 + t^4.58 + 2*t^4.61 + 2*t^4.64 + 2*t^4.67 + 2*t^5.03 + 2*t^5.12 + t^5.15 + 3*t^5.21 + 3*t^5.24 + 2*t^5.3 + t^5.33 + t^5.4 + t^5.43 + t^5.49 + t^5.52 + 3*t^5.82 + t^5.91 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 48237 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6632 | 0.8813 | 0.7525 | [X:[], M:[0.7251, 0.7251, 1.0, 0.745, 0.745, 1.02], q:[0.755, 0.52], qb:[0.52, 0.245], phi:[0.49]] | 2*t^2.18 + 2*t^2.24 + 2*t^2.29 + t^2.94 + t^3. + t^3.06 + t^3.12 + 3*t^4.35 + 4*t^4.41 + 7*t^4.47 + 4*t^4.53 + 6*t^4.59 + 2*t^5.12 + 2*t^5.18 + 6*t^5.24 + 6*t^5.29 + 4*t^5.35 + 2*t^5.41 + t^5.88 - 4*t^6. - t^4.47/y - t^4.47*y | detail | |
| 48186 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.6384 | 0.8362 | 0.7634 | [X:[1.3756], M:[0.6684, 0.6244, 1.0, 0.7513, 0.7073], q:[0.7707, 0.5609], qb:[0.6049, 0.2293], phi:[0.4585]] | t^2.01 + t^2.12 + t^2.25 + t^2.37 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^4.01 + 2*t^4.13 + t^4.24 + t^4.26 + 2*t^4.38 + t^4.49 + 2*t^4.51 + 2*t^4.62 + 2*t^4.74 + 3*t^4.76 + 3*t^4.87 + 4*t^5.01 + 3*t^5.12 + 3*t^5.25 + t^5.37 + 5*t^5.5 + t^5.62 + 2*t^5.75 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46157 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6466 | 0.8508 | 0.76 | [X:[], M:[0.6983, 0.7146, 1.0, 0.7331], q:[0.7587, 0.543], qb:[0.5267, 0.2413], phi:[0.4826]] | t^2.09 + t^2.14 + t^2.2 + t^2.3 + t^2.35 + 2*t^2.9 + t^3. + t^3.21 + t^3.75 + t^4.19 + t^4.24 + 2*t^4.29 + t^4.34 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.61 + 2*t^4.66 + 2*t^4.71 + 2*t^4.99 + 2*t^5.04 + 2*t^5.09 + 3*t^5.2 + 2*t^5.25 + 2*t^5.3 + 2*t^5.35 + t^5.41 + t^5.51 + t^5.56 + 3*t^5.79 + t^5.85 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail |