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 |
|---|---|---|---|---|---|---|---|---|---|
| 1755 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_2\tilde{q}_1$ | 0.6693 | 0.8377 | 0.7989 | [X:[], M:[0.6919, 0.7273, 0.6801, 1.2727, 0.6919], q:[0.8241, 0.8241], qb:[0.4841, 0.4605], phi:[0.3518]] | [X:[], M:[[-7, -1], [2, -10], [-10, 2], [-2, 10], [-7, -1]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_5$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_3M_5$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_1M_4$, $ M_4M_5$, $ M_3q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -2 | t^2.04 + 2*t^2.08 + t^2.11 + t^2.83 + t^3.82 + 2*t^3.85 + t^3.89 + t^4.08 + 2*t^4.12 + 4*t^4.15 + 2*t^4.19 + t^4.22 + t^4.87 + 2*t^4.91 + 2*t^4.94 + t^5.67 + t^5.86 + 4*t^5.89 + 5*t^5.93 + 2*t^5.96 - 2*t^6. - 2*t^6.04 - t^6.07 + t^6.12 + 2*t^6.16 + 4*t^6.19 + 6*t^6.23 + 4*t^6.26 + 2*t^6.3 + t^6.33 + t^6.65 + 2*t^6.69 + t^6.72 + t^6.91 + 2*t^6.95 + 4*t^6.98 + 2*t^7.02 - 2*t^7.09 - t^7.13 + t^7.64 + 2*t^7.67 + 4*t^7.71 + 2*t^7.74 - 2*t^7.81 - t^7.85 + t^7.9 + 4*t^7.93 + 8*t^7.97 + 8*t^8. + t^8.04 - 6*t^8.08 - 6*t^8.11 - 4*t^8.15 + t^8.16 - t^8.18 + 2*t^8.2 + 4*t^8.23 + 6*t^8.27 + 9*t^8.3 + 6*t^8.34 + 4*t^8.37 + 2*t^8.41 + t^8.44 + t^8.5 + t^8.69 + 4*t^8.73 + 5*t^8.76 + 2*t^8.8 - 3*t^8.83 - 4*t^8.87 - 2*t^8.9 + t^8.95 + 2*t^8.99 - t^4.06/y - t^6.1/y - (2*t^6.13)/y - t^6.17/y + (2*t^7.12)/y + (2*t^7.15)/y + (2*t^7.19)/y + t^7.87/y + (2*t^7.91)/y + (2*t^7.94)/y + (2*t^7.98)/y + t^8.02/y - t^8.14/y - (2*t^8.17)/y - (4*t^8.21)/y - (2*t^8.24)/y - t^8.28/y + t^8.86/y + (4*t^8.89)/y + (6*t^8.93)/y + (4*t^8.96)/y - t^4.06*y - t^6.1*y - 2*t^6.13*y - t^6.17*y + 2*t^7.12*y + 2*t^7.15*y + 2*t^7.19*y + t^7.87*y + 2*t^7.91*y + 2*t^7.94*y + 2*t^7.98*y + t^8.02*y - t^8.14*y - 2*t^8.17*y - 4*t^8.21*y - 2*t^8.24*y - t^8.28*y + t^8.86*y + 4*t^8.89*y + 6*t^8.93*y + 4*t^8.96*y | (g2^2*t^2.04)/g1^10 + (2*t^2.08)/(g1^7*g2) + t^2.11/(g1^4*g2^4) + g1^6*g2^6*t^2.83 + (g2^10*t^3.82)/g1^2 + 2*g1*g2^7*t^3.85 + g1^4*g2^4*t^3.89 + (g2^4*t^4.08)/g1^20 + (2*g2*t^4.12)/g1^17 + (4*t^4.15)/(g1^14*g2^2) + (2*t^4.19)/(g1^11*g2^5) + t^4.22/(g1^8*g2^8) + (g2^8*t^4.87)/g1^4 + (2*g2^5*t^4.91)/g1 + 2*g1^2*g2^2*t^4.94 + g1^12*g2^12*t^5.67 + (g2^12*t^5.86)/g1^12 + (4*g2^9*t^5.89)/g1^9 + (5*g2^6*t^5.93)/g1^6 + (2*g2^3*t^5.96)/g1^3 - 2*t^6. - (2*g1^3*t^6.04)/g2^3 - (g1^6*t^6.07)/g2^6 + (g2^6*t^6.12)/g1^30 + (2*g2^3*t^6.16)/g1^27 + (4*t^6.19)/g1^24 + (6*t^6.23)/(g1^21*g2^3) + (4*t^6.26)/(g1^18*g2^6) + (2*t^6.3)/(g1^15*g2^9) + t^6.33/(g1^12*g2^12) + g1^4*g2^16*t^6.65 + 2*g1^7*g2^13*t^6.69 + g1^10*g2^10*t^6.72 + (g2^10*t^6.91)/g1^14 + (2*g2^7*t^6.95)/g1^11 + (4*g2^4*t^6.98)/g1^8 + (2*g2*t^7.02)/g1^5 - (2*g1*t^7.09)/g2^5 - (g1^4*t^7.13)/g2^8 + (g2^20*t^7.64)/g1^4 + (2*g2^17*t^7.67)/g1 + 4*g1^2*g2^14*t^7.71 + 2*g1^5*g2^11*t^7.74 - 2*g1^11*g2^5*t^7.81 - g1^14*g2^2*t^7.85 + (g2^14*t^7.9)/g1^22 + (4*g2^11*t^7.93)/g1^19 + (8*g2^8*t^7.97)/g1^16 + (8*g2^5*t^8.)/g1^13 + (g2^2*t^8.04)/g1^10 - (6*t^8.08)/(g1^7*g2) - (6*t^8.11)/(g1^4*g2^4) - (4*t^8.15)/(g1*g2^7) + (g2^8*t^8.16)/g1^40 - (g1^2*t^8.18)/g2^10 + (2*g2^5*t^8.2)/g1^37 + (4*g2^2*t^8.23)/g1^34 + (6*t^8.27)/(g1^31*g2) + (9*t^8.3)/(g1^28*g2^4) + (6*t^8.34)/(g1^25*g2^7) + (4*t^8.37)/(g1^22*g2^10) + (2*t^8.41)/(g1^19*g2^13) + t^8.44/(g1^16*g2^16) + g1^18*g2^18*t^8.5 + (g2^18*t^8.69)/g1^6 + (4*g2^15*t^8.73)/g1^3 + 5*g2^12*t^8.76 + 2*g1^3*g2^9*t^8.8 - 3*g1^6*g2^6*t^8.83 - 4*g1^9*g2^3*t^8.87 - 2*g1^12*t^8.9 + (g2^12*t^8.95)/g1^24 + (2*g2^9*t^8.99)/g1^21 - t^4.06/(g1^2*g2^2*y) - t^6.1/(g1^12*y) - (2*t^6.13)/(g1^9*g2^3*y) - t^6.17/(g1^6*g2^6*y) + (2*g2*t^7.12)/(g1^17*y) + (2*t^7.15)/(g1^14*g2^2*y) + (2*t^7.19)/(g1^11*g2^5*y) + (g2^8*t^7.87)/(g1^4*y) + (2*g2^5*t^7.91)/(g1*y) + (2*g1^2*g2^2*t^7.94)/y + (2*g1^5*t^7.98)/(g2*y) + (g1^8*t^8.02)/(g2^4*y) - (g2^2*t^8.14)/(g1^22*y) - (2*t^8.17)/(g1^19*g2*y) - (4*t^8.21)/(g1^16*g2^4*y) - (2*t^8.24)/(g1^13*g2^7*y) - t^8.28/(g1^10*g2^10*y) + (g2^12*t^8.86)/(g1^12*y) + (4*g2^9*t^8.89)/(g1^9*y) + (6*g2^6*t^8.93)/(g1^6*y) + (4*g2^3*t^8.96)/(g1^3*y) - (t^4.06*y)/(g1^2*g2^2) - (t^6.1*y)/g1^12 - (2*t^6.13*y)/(g1^9*g2^3) - (t^6.17*y)/(g1^6*g2^6) + (2*g2*t^7.12*y)/g1^17 + (2*t^7.15*y)/(g1^14*g2^2) + (2*t^7.19*y)/(g1^11*g2^5) + (g2^8*t^7.87*y)/g1^4 + (2*g2^5*t^7.91*y)/g1 + 2*g1^2*g2^2*t^7.94*y + (2*g1^5*t^7.98*y)/g2 + (g1^8*t^8.02*y)/g2^4 - (g2^2*t^8.14*y)/g1^22 - (2*t^8.17*y)/(g1^19*g2) - (4*t^8.21*y)/(g1^16*g2^4) - (2*t^8.24*y)/(g1^13*g2^7) - (t^8.28*y)/(g1^10*g2^10) + (g2^12*t^8.86*y)/g1^12 + (4*g2^9*t^8.89*y)/g1^9 + (6*g2^6*t^8.93*y)/g1^6 + (4*g2^3*t^8.96*y)/g1^3 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 245 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.6486 | 0.7977 | 0.8132 | [X:[], M:[0.6962, 0.7272, 0.6859, 1.2728], q:[0.8234, 0.8234], qb:[0.4804, 0.4598], phi:[0.3533]] | t^2.06 + t^2.09 + t^2.12 + t^2.82 + t^3.82 + 2*t^3.85 + t^3.88 + t^3.91 + t^4.12 + t^4.15 + 2*t^4.18 + t^4.21 + t^4.24 + t^4.88 + t^4.91 + 2*t^4.94 + t^5.64 + t^5.88 + 3*t^5.91 + 3*t^5.94 + 2*t^5.97 - t^6. - t^4.06/y - t^4.06*y | detail |