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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[0, 8, 0], [0, -2, 2], [0, -4, -4], [1, 4, 0], [-1, 0, -4], [-1, -4, 0]], q:[[-1, -8, 0], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, 1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_1$, $ M_6$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ M_1M_5$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_3^2$, $ M_1M_3$, $ M_4M_5$, $ M_1^2$, $ M_2M_5$, $ M_6^2$, $ M_5q_1\tilde{q}_2$, $ M_2M_3$ | . | -3 | 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^6.02 + t^6.23 - t^6.32 + t^6.34 - t^6.37 + t^6.46 + t^6.47 + t^6.67 + t^6.78 + t^6.81 + t^6.83 + t^6.88 + t^6.99 + 3*t^7.04 + t^7.1 + t^7.11 + t^7.15 + t^7.2 + 2*t^7.25 + t^7.31 + t^7.36 + t^7.4 + t^7.42 + t^7.43 + t^7.45 + t^7.47 + t^7.48 + t^7.56 + 2*t^7.61 + t^7.67 + t^7.68 + t^7.75 + t^7.78 + t^7.79 + t^7.82 + t^7.84 + t^7.98 + 2*t^8.03 + t^8.06 + t^8.11 + 2*t^8.19 + t^8.21 + t^8.26 + t^8.35 - 4*t^8.37 + 2*t^8.39 + t^8.4 - t^8.48 + t^8.5 - t^8.58 + 2*t^8.6 + t^8.66 - 4*t^8.69 + 2*t^8.71 - 5*t^8.74 + 3*t^8.76 - t^8.8 + t^8.81 + t^8.82 + 2*t^8.83 + t^8.92 - 4*t^8.94 + t^8.97 - t^4.36/y - t^6.73/y - t^7.04/y - t^7.09/y + t^7.62/y + t^7.67/y + t^7.99/y + t^8.06/y + t^8.11/y + t^8.31/y + (2*t^8.42)/y + t^8.63/y + t^8.66/y + t^8.68/y + t^8.74/y + t^8.79/y + t^8.89/y + t^8.98/y - t^4.36*y - t^6.73*y - t^7.04*y - t^7.09*y + t^7.62*y + t^7.67*y + t^7.99*y + t^8.06*y + t^8.11*y + t^8.31*y + 2*t^8.42*y + t^8.63*y + t^8.66*y + t^8.68*y + t^8.74*y + t^8.79*y + t^8.89*y + t^8.98*y | t^2.37/(g1*g3^4) + t^2.69/(g2^4*g3^4) + g2^8*t^2.74 + t^2.94/(g1*g2^4) + g1*g2^4*t^3.06 + (g3^2*t^3.29)/g2^2 + (g3^4*t^3.52)/(g1*g2^8) + (g2^9*t^4.09)/g3 + t^4.3/(g1*g2^3*g3) + (g1*g2^5*t^4.41)/g3 + t^4.51/(g1^2*g2^15*g3) + t^4.62/(g2^7*g3) + g2^5*g3^3*t^4.67 + (g1^2*g2*t^4.73)/g3 + t^4.74/(g1^2*g3^8) + (g3^3*t^4.88)/(g1*g2^7) + g1*g2*g3^3*t^4.99 + t^5.06/(g1*g2^4*g3^8) + (g2^8*t^5.11)/(g1*g3^4) + g2*g3^7*t^5.24 + t^5.31/(g1^2*g2^4*g3^4) + t^5.38/(g2^8*g3^8) + (g2^4*t^5.42)/g3^4 + g2^16*t^5.47 + t^5.66/(g1*g2^2*g3^2) + t^5.89/(g1^2*g2^8) + t^5.98/(g2^6*g3^2) - 3*t^6. + g2^6*g3^2*t^6.02 + (g3^2*t^6.23)/(g1*g2^6) - (g1*t^6.32)/g2^4 + g1*g2^2*g3^2*t^6.34 - g1*g2^8*g3^4*t^6.37 + (g2^9*t^6.46)/(g1*g3^5) + (g3^4*t^6.47)/(g1^2*g2^12) + t^6.67/(g1^2*g2^3*g3^5) + (g2^5*t^6.78)/g3^5 + (g3^6*t^6.81)/(g1*g2^10) + (g2^17*t^6.83)/g3 + t^6.88/(g1^3*g2^15*g3^5) + t^6.99/(g1*g2^7*g3^5) + (2*g2^5*t^7.04)/(g1*g3) + (g3^8*t^7.04)/(g1^2*g2^16) + (g1*g2*t^7.1)/g3^5 + t^7.11/(g1^3*g3^12) + (g1*g2^13*t^7.15)/g3 + t^7.2/(g1^2*g2^19*g3^5) + (2*t^7.25)/(g1^2*g2^7*g3) + t^7.31/(g2^11*g3^5) + (g2*t^7.36)/g3 + g2^13*g3^3*t^7.4 + (g1^2*t^7.42)/(g2^3*g3^5) + t^7.43/(g1^2*g2^4*g3^12) + t^7.45/(g1^3*g2^19*g3) + (g1^2*g2^9*t^7.47)/g3 + (g2^8*t^7.48)/(g1^2*g3^8) + t^7.56/(g1*g2^11*g3) + (2*g2*g3^3*t^7.61)/g1 + (g1*t^7.67)/(g2^3*g3) + t^7.68/(g1^3*g2^4*g3^8) + t^7.75/(g1*g2^8*g3^12) + (g1^3*g2^5*t^7.78)/g3 + (g2^4*t^7.79)/(g1*g3^8) + (g3^3*t^7.82)/(g1^2*g2^11) + (g2^16*t^7.84)/(g1*g3^4) + g2^9*g3^7*t^7.98 + t^8.03/(g1^2*g2^2*g3^6) + (g3^3*t^8.03)/(g1^3*g2^23) + t^8.06/(g2^12*g3^12) + t^8.11/g3^8 + (g2^18*t^8.19)/g3^2 + (g3^7*t^8.19)/(g1*g2^3) + g2^24*t^8.21 + t^8.26/(g1^3*g2^8*g3^4) + t^8.35/(g1*g2^6*g3^6) - (4*t^8.37)/(g1*g3^4) + (2*g2^6*t^8.39)/(g1*g3^2) + (g3^7*t^8.4)/(g1^2*g2^15) - (g1*g2^8*t^8.48)/g3^4 + (g1*g2^14*t^8.5)/g3^2 - t^8.58/(g1^2*g2^12*g3^4) + (2*t^8.6)/(g1^2*g2^6*g3^2) + t^8.66/(g2^10*g3^6) - (4*t^8.69)/(g2^4*g3^4) + (2*g2^2*t^8.71)/g3^2 - 5*g2^8*t^8.74 + 2*g2^14*g3^2*t^8.76 + (g3^11*t^8.76)/(g1*g2^7) - (g1^2*g2^4*t^8.8)/g3^4 + t^8.81/(g1^3*g2^18*g3^2) + (g1^2*g2^10*t^8.82)/g3^2 + t^8.83/(g1^3*g2^12) + (g2^9*t^8.83)/(g1^2*g3^9) + t^8.92/(g1*g2^10*g3^2) - (4*t^8.94)/(g1*g2^4) + (g2^2*g3^2*t^8.97)/g1 - (g2*t^4.36)/(g3*y) - (g2*t^6.73)/(g1*g3^5*y) - t^7.04/(g2^3*g3^5*y) - (g2^9*t^7.09)/(g3*y) + t^7.62/(g2^7*g3*y) + (g2^5*g3^3*t^7.67)/y + (g1*g2*g3^3*t^7.99)/y + t^8.06/(g1*g2^4*g3^8*y) + (g2^8*t^8.11)/(g1*g3^4*y) + t^8.31/(g1^2*g2^4*g3^4*y) + (2*g2^4*t^8.42)/(g3^4*y) + t^8.63/(g1*g2^8*g3^4*y) + t^8.66/(g1*g2^2*g3^2*y) + (g2^4*t^8.68)/(g1*y) + (g1*t^8.74)/(g3^4*y) + (g1*g2^12*t^8.79)/y + t^8.89/(g1^2*g2^8*y) + t^8.98/(g2^6*g3^2*y) - (g2*t^4.36*y)/g3 - (g2*t^6.73*y)/(g1*g3^5) - (t^7.04*y)/(g2^3*g3^5) - (g2^9*t^7.09*y)/g3 + (t^7.62*y)/(g2^7*g3) + g2^5*g3^3*t^7.67*y + g1*g2*g3^3*t^7.99*y + (t^8.06*y)/(g1*g2^4*g3^8) + (g2^8*t^8.11*y)/(g1*g3^4) + (t^8.31*y)/(g1^2*g2^4*g3^4) + (2*g2^4*t^8.42*y)/g3^4 + (t^8.63*y)/(g1*g2^8*g3^4) + (t^8.66*y)/(g1*g2^2*g3^2) + (g2^4*t^8.68*y)/g1 + (g1*t^8.74*y)/g3^4 + g1*g2^12*t^8.79*y + (t^8.89*y)/(g1^2*g2^8) + (t^8.98*y)/(g2^6*g3^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 837 | $M_1q_1q_2$ + $ 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 | |
| 834 | $M_1q_1q_2$ + $ 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_1^2$ | 0.7146 | 0.8745 | 0.8171 | [X:[], M:[1.0, 1.0767, 0.8466, 1.0202, 0.8264, 0.9798], q:[0.4798, 0.5202], qb:[0.5, 0.6534], phi:[0.4617]] | t^2.48 + t^2.54 + t^2.94 + t^3. + t^3.06 + t^3.23 + t^3.4 + t^4.26 + t^4.32 + 2*t^4.38 + t^4.45 + t^4.51 + t^4.78 + t^4.85 + t^4.91 + t^4.96 + t^5.02 + t^5.08 + t^5.31 + t^5.42 + t^5.48 + t^5.54 + t^5.71 + t^5.77 + t^5.88 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 836 | $M_1q_1q_2$ + $ 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_3M_5$ | 0.6993 | 0.8557 | 0.8173 | [X:[], M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.69 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.14 + t^4.32 + t^4.42 + 2*t^4.5 + t^4.59 + t^4.67 + t^4.69 + t^4.77 + t^4.85 + t^5.37 + t^5.55 + t^5.73 + t^5.77 + t^5.9 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 833 | $M_1q_1q_2$ + $ 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_3^2$ | 0.7134 | 0.8733 | 0.8168 | [X:[], M:[0.86, 1.07, 1.0, 1.0244, 0.8356, 0.9756], q:[0.5455, 0.5944], qb:[0.43, 0.57], phi:[0.465]] | t^2.51 + t^2.58 + t^2.93 + t^3. + t^3.07 + t^3.21 + t^3.35 + t^3.98 + t^4.32 + t^4.4 + t^4.47 + t^4.67 + t^4.74 + 2*t^4.81 + t^4.89 + t^4.96 + t^5.01 + t^5.09 + t^5.16 + t^5.43 + t^5.51 + t^5.58 + t^5.72 + t^5.79 + t^5.85 - 2*t^6. - t^4.4/y - t^4.4*y | detail | |
| 835 | $M_1q_1q_2$ + $ 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_5^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[0.978, 1.0207, 0.9805, 0.9586, 1.0, 1.0414], q:[0.5524, 0.4696], qb:[0.489, 0.5304], phi:[0.4896]] | t^2.88 + t^2.93 + t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.29 + t^4.34 + t^4.4 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.65 + t^4.72 + t^4.78 + t^5.87 + 2*t^5.88 + t^5.94 - t^4.47/y - t^4.47*y | detail | |
| 838 | $M_1q_1q_2$ + $ 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_7q_1\tilde{q}_2$ | 0.737 | 0.9112 | 0.8089 | [X:[], M:[0.8973, 1.1144, 0.8739, 1.0, 0.7712, 1.0, 0.7712], q:[0.5513, 0.5513], qb:[0.4487, 0.6775], phi:[0.4428]] | 2*t^2.31 + t^2.62 + t^2.69 + 2*t^3. + t^3.34 + t^4.02 + 2*t^4.33 + 3*t^4.63 + 3*t^4.64 + t^4.71 + 2*t^4.94 + 4*t^5.01 + t^5.24 + 4*t^5.31 + t^5.38 + t^5.39 + 2*t^5.66 + t^5.96 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 1883 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ | 0.639 | 0.7933 | 0.8056 | [X:[], M:[0.7924, 1.2338, 0.7399, 0.8507, 0.6817, 1.1493], q:[0.7531, 0.4545], qb:[0.3962, 0.8638], phi:[0.3831]] | t^2.04 + t^2.22 + t^2.38 + t^2.55 + t^3.45 + t^3.53 + 2*t^3.7 + t^3.88 + t^4.09 + t^4.26 + t^4.42 + t^4.44 + 2*t^4.6 + t^4.75 + t^4.77 + t^4.85 + t^4.93 + t^5.1 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.75 + t^5.9 + 2*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 1884 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ | 0.6183 | 0.7529 | 0.8212 | [X:[1.6154], M:[0.7932, 1.2309, 0.745, 1.1537, 0.3846, 0.8463], q:[0.4497, 0.757], qb:[0.3966, 0.8584], phi:[0.3846]] | t^2.23 + t^2.38 + t^2.54 + t^3.46 + t^3.53 + 2*t^3.69 + t^3.85 + t^3.92 + t^4.47 + t^4.61 + t^4.76 + t^4.77 + t^4.85 + t^4.92 + t^5.08 + t^5.7 + t^5.91 + t^5.93 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 339 | 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$ | 0.7729 | 0.9519 | 0.812 | [X:[], M:[0.7777, 1.2223, 0.7777, 0.7777, 0.7777, 0.7473], q:[0.596, 0.6263], qb:[0.6263, 0.596], phi:[0.3888]] | t^2.24 + 4*t^2.33 + t^3.58 + t^3.67 + t^4.48 + 4*t^4.57 + 10*t^4.67 + 3*t^4.74 + 4*t^4.83 + 3*t^4.92 + t^5.82 + t^5.91 - 4*t^6. - t^4.17/y - t^4.17*y | detail |