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 |
|---|---|---|---|---|---|---|---|---|---|
| 1335 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_6M_7$ | 0.7018 | 0.8592 | 0.8168 | [X:[], M:[1.0361, 1.0361, 0.8916, 0.9639, 0.9639, 1.0361, 0.9639], q:[0.5181, 0.4458], qb:[0.5181, 0.5903], phi:[0.4819]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [12, -4], [-8, 0], [-12, 4], [12, -4]], q:[[-16, 4], [8, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_4$, $ M_7$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_4$, $ M_3M_7$, $ M_3M_5$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_2M_3$ | $M_1M_4$, $ M_2M_4$, $ M_2M_5$, $ M_1M_7$, $ M_2M_7$ | 1 | t^2.67 + 3*t^2.89 + 2*t^3.11 + t^3.33 + t^4.12 + 2*t^4.34 + 4*t^4.55 + 2*t^4.77 + t^4.99 + t^5.35 + 2*t^5.57 + 4*t^5.78 + t^6. + t^6.22 + t^6.43 + t^6.65 + t^6.8 + 4*t^7.01 + 6*t^7.23 + 8*t^7.45 + 4*t^7.66 + 4*t^7.88 + t^8.02 + 2*t^8.1 + 3*t^8.24 + t^8.31 + 4*t^8.46 + 4*t^8.67 - 2*t^8.89 - t^4.45/y - t^7.12/y - t^7.34/y + t^7.55/y + t^7.77/y + (3*t^8.57)/y + (5*t^8.78)/y - t^4.45*y - t^7.12*y - t^7.34*y + t^7.55*y + t^7.77*y + 3*t^8.57*y + 5*t^8.78*y | t^2.67/(g1^4*g2^4) + t^2.89/g1^8 + (2*g1^12*t^2.89)/g2^4 + g1^8*t^3.11 + (g2^2*t^3.11)/g1^2 + (g2^8*t^3.33)/g1^16 + (g1^17*t^4.12)/g2^9 + (g1^13*t^4.34)/g2^5 + t^4.34/(g1^7*g2) + (2*g1^9*t^4.55)/g2 + (g2^3*t^4.55)/g1^11 + (g2^7*t^4.55)/g1^31 + g1^5*g2^3*t^4.77 + (g2^7*t^4.77)/g1^15 + g1*g2^7*t^4.99 + t^5.35/(g1^8*g2^8) + (g1^8*t^5.57)/g2^8 + t^5.57/(g1^12*g2^4) + (2*g1^24*t^5.78)/g2^8 + (g1^4*t^5.78)/g2^4 + t^5.78/(g1^6*g2^2) - 3*t^6. + (g1^20*t^6.)/g2^4 + (2*g1^10*t^6.)/g2^2 + (g2^2*t^6.)/g1^10 + g1^6*g2^2*t^6.22 + (g2^10*t^6.43)/g1^18 + (g2^16*t^6.65)/g1^32 + (g1^13*t^6.8)/g2^13 + (2*g1^29*t^7.01)/g2^13 + (g1^9*t^7.01)/g2^9 + t^7.01/(g1^11*g2^5) + (2*g1^25*t^7.23)/g2^9 + (2*g1^5*t^7.23)/g2^5 + t^7.23/(g1^15*g2) + (g2^3*t^7.23)/g1^35 + (3*g1^21*t^7.45)/g2^5 + (2*g1*t^7.45)/g2 + (2*g2^3*t^7.45)/g1^19 + (g2^7*t^7.45)/g1^39 + (2*g1^17*t^7.66)/g2 + (g2^3*t^7.66)/g1^3 + (g2^7*t^7.66)/g1^23 + 2*g1^13*g2^3*t^7.88 + (g2^7*t^7.88)/g1^7 + (g2^15*t^7.88)/g1^47 + t^8.02/(g1^12*g2^12) + g1^9*g2^7*t^8.1 + (g2^15*t^8.1)/g1^31 + (g1^34*t^8.24)/g2^18 + (g1^4*t^8.24)/g2^12 + t^8.24/(g1^16*g2^8) + (g2^15*t^8.31)/g1^15 + (g1^30*t^8.46)/g2^14 + (g1^10*t^8.46)/g2^10 + t^8.46/g2^8 + t^8.46/(g1^10*g2^6) + (2*g1^36*t^8.67)/g2^12 + (2*g1^26*t^8.67)/g2^10 - (g1^16*t^8.67)/g2^8 + (2*g1^6*t^8.67)/g2^6 - (3*t^8.67)/(g1^4*g2^4) + (2*t^8.67)/(g1^14*g2^2) - (4*t^8.89)/g1^8 + (g1^32*t^8.89)/g2^8 + (4*g1^22*t^8.89)/g2^6 - (7*g1^12*t^8.89)/g2^4 + (3*g1^2*t^8.89)/g2^2 + (g2^2*t^8.89)/g1^18 - (g2^4*t^8.89)/g1^28 + (g2^6*t^8.89)/g1^38 - (g1*t^4.45)/(g2*y) - t^7.12/(g1^3*g2^5*y) - (g1^13*t^7.34)/(g2^5*y) + (g2^3*t^7.55)/(g1^11*y) + (g1^5*g2^3*t^7.77)/y + (2*g1^8*t^8.57)/(g2^8*y) + t^8.57/(g1^12*g2^4*y) + (g1^24*t^8.78)/(g2^8*y) + (3*g1^4*t^8.78)/(g2^4*y) + t^8.78/(g1^6*g2^2*y) - (g1*t^4.45*y)/g2 - (t^7.12*y)/(g1^3*g2^5) - (g1^13*t^7.34*y)/g2^5 + (g2^3*t^7.55*y)/g1^11 + g1^5*g2^3*t^7.77*y + (2*g1^8*t^8.57*y)/g2^8 + (t^8.57*y)/(g1^12*g2^4) + (g1^24*t^8.78*y)/g2^8 + (3*g1^4*t^8.78*y)/g2^4 + (t^8.78*y)/(g1^6*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2391 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ | 0.643 | 0.8005 | 0.8032 | [X:[], M:[0.8823, 1.042, 1.0337, 0.7983, 1.1177, 1.2017, 0.7983], q:[0.7605, 0.3572], qb:[0.4412, 0.5251], phi:[0.479]] | 2*t^2.4 + t^2.65 + t^3.1 + t^3.13 + t^3.35 + t^3.58 + t^3.83 + t^3.86 + 2*t^4.08 + t^4.34 + t^4.59 + 3*t^4.79 + 2*t^5.04 + t^5.29 + t^5.5 + 2*t^5.52 + t^5.75 + t^5.77 + 2*t^5.98 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 837 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ | 0.6995 | 0.856 | 0.8172 | [X:[], M:[1.0482, 1.0302, 0.8913, 0.9877, 0.9518, 1.0123], q:[0.4881, 0.4636], qb:[0.5241, 0.5846], phi:[0.4849]] | t^2.67 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.24 + t^4.31 + t^4.38 + t^4.42 + t^4.49 + 2*t^4.6 + t^4.67 + t^4.78 + t^4.96 + t^5.35 + t^5.53 + t^5.71 + t^5.76 + t^5.89 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |