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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [12, -4], [-8, 0], [-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_6$, $ M_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_6$, $ M_2M_3$, $ M_5M_6$, $ M_2M_5$ | . | -2 | 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^6.05 + t^6.07 + t^6.13 + t^6.24 + t^6.26 + t^6.31 + t^6.44 + t^6.91 + t^6.98 + t^7.06 + t^7.09 + t^7.17 + t^7.2 + t^7.24 + 2*t^7.27 + 2*t^7.35 + t^7.38 + t^7.42 + 2*t^7.45 + 2*t^7.53 + t^7.56 + t^7.6 + 2*t^7.64 + t^7.71 + t^7.74 + 2*t^7.82 + t^7.89 + t^7.93 + t^8. + t^8.02 + t^8.11 + t^8.18 + t^8.2 + t^8.38 + t^8.44 + t^8.47 + t^8.55 + t^8.57 - t^8.6 + 2*t^8.62 + t^8.65 - 3*t^8.67 + t^8.69 + t^8.73 + t^8.77 - 2*t^8.78 + 2*t^8.8 + 2*t^8.84 - 4*t^8.86 + t^8.87 + 2*t^8.91 - 4*t^8.96 + 3*t^8.98 - t^4.45/y - t^7.13/y + t^7.78/y + t^8.53/y + t^8.64/y + t^8.71/y + t^8.76/y + (2*t^8.82)/y + (2*t^8.89)/y + t^8.95/y - t^4.45*y - t^7.13*y + t^7.78*y + t^8.53*y + t^8.64*y + t^8.71*y + t^8.76*y + 2*t^8.82*y + 2*t^8.89*y + t^8.95*y | t^2.67/(g1^4*g2^4) + t^2.86/g1^8 + (g1^12*t^2.96)/g2^4 + (g2^4*t^3.04)/g1^12 + (g2^2*t^3.09)/g1^2 + g1^8*t^3.14 + (g2^8*t^3.22)/g1^16 + (g1^17*t^4.24)/g2^9 + t^4.31/(g1^7*g2) + (g2^7*t^4.38)/g1^31 + (g1^13*t^4.42)/g2^5 + (g2^3*t^4.49)/g1^11 + (2*g1^9*t^4.6)/g2 + (g2^7*t^4.67)/g1^15 + g1^5*g2^3*t^4.78 + g1*g2^7*t^4.96 + t^5.35/(g1^8*g2^8) + t^5.53/(g1^12*g2^4) + t^5.71/g1^16 + t^5.76/(g1^6*g2^2) + (g2^4*t^5.89)/g1^20 + (g2^2*t^5.95)/g1^10 - 2*t^6. + (g1^10*t^6.05)/g2^2 + (g2^8*t^6.07)/g1^24 + (g2^6*t^6.13)/g1^14 + g1^6*g2^2*t^6.24 + (g2^12*t^6.26)/g1^28 + (g2^10*t^6.31)/g1^18 + (g2^16*t^6.44)/g1^32 + (g1^13*t^6.91)/g2^13 + t^6.98/(g1^11*g2^5) + (g2^3*t^7.06)/g1^35 + (g1^9*t^7.09)/g2^9 + t^7.17/(g1^15*g2) + (g1^29*t^7.2)/g2^13 + (g2^7*t^7.24)/g1^39 + (2*g1^5*t^7.27)/g2^5 + (2*g2^3*t^7.35)/g1^19 + (g1^25*t^7.38)/g2^9 + (g2^11*t^7.42)/g1^43 + (2*g1*t^7.45)/g2 + (2*g2^7*t^7.53)/g1^23 + (g1^21*t^7.56)/g2^5 + (g2^15*t^7.6)/g1^47 + (2*g2^3*t^7.64)/g1^3 + (g2^11*t^7.71)/g1^27 + (g1^17*t^7.74)/g2 + (2*g2^7*t^7.82)/g1^7 + (g2^15*t^7.89)/g1^31 + g1^13*g2^3*t^7.93 + (g2^11*t^8.)/g1^11 + t^8.02/(g1^12*g2^12) + g1^9*g2^7*t^8.11 + (g2^15*t^8.18)/g1^15 + t^8.2/(g1^16*g2^8) + t^8.38/(g1^20*g2^4) + t^8.44/(g1^10*g2^6) + (g1^34*t^8.47)/g2^18 + (g1^10*t^8.55)/g2^10 + t^8.57/g1^24 - (g1^20*t^8.6)/g2^12 + (2*t^8.62)/(g1^14*g2^2) + (g1^30*t^8.65)/g2^14 - (3*t^8.67)/(g1^4*g2^4) + (g2^6*t^8.69)/g1^38 + (g1^6*t^8.73)/g2^6 + (g2^14*t^8.77)/g1^62 - (2*g1^16*t^8.78)/g2^8 + (2*g2^2*t^8.8)/g1^18 + (2*g1^26*t^8.84)/g2^10 - (4*t^8.86)/g1^8 + (g2^10*t^8.87)/g1^42 + (2*g1^2*t^8.91)/g2^2 - (4*g1^12*t^8.96)/g2^4 + (3*g2^6*t^8.98)/g1^22 - (g1*t^4.45)/(g2*y) - t^7.13/(g1^3*g2^5*y) + (g1^5*g2^3*t^7.78)/y + t^8.53/(g1^12*g2^4*y) + (g1^8*t^8.64)/(g2^8*y) + t^8.71/(g1^16*y) + t^8.76/(g1^6*g2^2*y) + (2*g1^4*t^8.82)/(g2^4*y) + (2*g2^4*t^8.89)/(g1^20*y) + (g2^2*t^8.95)/(g1^10*y) - (g1*t^4.45*y)/g2 - (t^7.13*y)/(g1^3*g2^5) + g1^5*g2^3*t^7.78*y + (t^8.53*y)/(g1^12*g2^4) + (g1^8*t^8.64*y)/g2^8 + (t^8.71*y)/g1^16 + (t^8.76*y)/(g1^6*g2^2) + (2*g1^4*t^8.82*y)/g2^4 + (2*g2^4*t^8.89*y)/g1^20 + (g2^2*t^8.95*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1334 | $M_1q_1q_2$ + $ 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_1M_7$ | 0.705 | 0.8667 | 0.8134 | [X:[], M:[1.0704, 1.0358, 0.858, 0.9988, 0.9296, 1.0012, 0.9296], q:[0.466, 0.4636], qb:[0.5352, 0.6068], phi:[0.4821]] | t^2.57 + 2*t^2.79 + 2*t^3. + t^3.11 + t^3.22 + t^4.23 + 2*t^4.24 + t^4.44 + t^4.45 + 3*t^4.66 + t^4.87 + t^5.09 + t^5.15 + 2*t^5.36 + 3*t^5.58 + t^5.68 + 2*t^5.79 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 1332 | $M_1q_1q_2$ + $ 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_5M_7$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[1.0244, 1.0244, 0.9267, 0.9756, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5122, 0.5611], phi:[0.4878]] | t^2.78 + t^2.93 + 4*t^3.07 + t^3.22 + t^4.24 + 2*t^4.39 + 4*t^4.54 + 2*t^4.68 + t^4.83 + t^5.56 + t^5.85 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 1335 | $M_1q_1q_2$ + $ 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]] | 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^4.45/y - t^4.45*y | detail | |
| 2025 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ | 0.5502 | 0.6745 | 0.8157 | [X:[1.5729], M:[1.2812, 1.1459, 0.4271, 0.9895, 0.7188, 1.0105], q:[0.3699, 0.3489], qb:[0.6406, 0.9323], phi:[0.4271]] | t^2.16 + t^2.97 + t^3.03 + t^3.37 + 2*t^3.44 + t^3.5 + t^3.84 + t^3.91 + t^4.31 + t^4.72 + t^5.12 + t^5.19 + t^5.59 + t^5.66 - t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 535 | 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$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail |