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 |
|---|---|---|---|---|---|---|---|---|---|
| 57499 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4229 | 1.624 | 0.8762 | [X:[1.3773], M:[0.7599, 0.7599], q:[0.39, 0.7014], qb:[0.5387, 0.5016], phi:[0.3114]] | [X:[[0, 0, 4]], M:[[-1, 1, -5], [-1, 1, -5]], q:[[-1, -1, 7], [-1, -1, 5]], qb:[[2, 0, 0], [0, 2, 0]], phi:[[0, 0, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$ | ${}$ | -5 | 2*t^2.28 + t^2.67 + t^2.79 + t^2.8 + 2*t^3.61 + t^4.13 + 2*t^4.54 + 3*t^4.56 + 2*t^4.65 + 2*t^4.95 + t^5.07 + 2*t^5.08 + t^5.35 + t^5.38 + t^5.46 + 2*t^5.48 + t^5.56 + t^5.57 + 2*t^5.59 + t^5.6 + t^5.67 + 3*t^5.89 - 5*t^6. - t^6.11 + 2*t^6.28 + 3*t^6.31 + 2*t^6.4 + 4*t^6.41 + t^6.49 + t^6.61 + t^6.81 + 3*t^6.82 + 4*t^6.84 + t^6.92 - t^7.02 - t^7.05 + 5*t^7.22 + 3*t^7.23 + 2*t^7.25 + t^7.32 + 4*t^7.33 + 3*t^7.35 + 3*t^7.36 + t^7.43 + 2*t^7.44 + 2*t^7.46 + t^7.54 + 2*t^7.63 + t^7.65 + 2*t^7.74 + 3*t^7.76 - 2*t^7.77 + t^7.84 + 2*t^7.88 - t^7.95 - t^7.98 + t^8.02 + t^8.05 - t^8.06 + t^8.14 + 6*t^8.15 + t^8.16 + 4*t^8.17 + 2*t^8.18 + t^8.23 + t^8.25 + 7*t^8.26 - 7*t^8.28 + 2*t^8.35 + 2*t^8.36 + 2*t^8.37 + t^8.39 + t^8.41 + t^8.46 + t^8.47 + 3*t^8.56 + 3*t^8.59 - 4*t^8.67 + 6*t^8.69 - 3*t^8.7 - 6*t^8.79 - 5*t^8.8 - 2*t^8.88 - t^8.9 - t^8.91 + 2*t^8.96 + 5*t^8.99 + t^8.8/y^2 - t^3.93/y - t^4.87/y - (2*t^6.21)/y - t^6.61/y - t^6.72/y - t^6.74/y - (2*t^7.15)/y - (2*t^7.54)/y + t^7.56/y - t^7.67/y + (2*t^7.95)/y + (2*t^8.07)/y + (2*t^8.08)/y + t^8.46/y - t^8.48/y - (3*t^8.49)/y + t^8.59/y + (2*t^8.89)/y - t^3.93*y - t^4.87*y - 2*t^6.21*y - t^6.61*y - t^6.72*y - t^6.74*y - 2*t^7.15*y - 2*t^7.54*y + t^7.56*y - t^7.67*y + 2*t^7.95*y + 2*t^8.07*y + 2*t^8.08*y + t^8.46*y - t^8.48*y - 3*t^8.49*y + t^8.59*y + 2*t^8.89*y + t^8.8*y^2 | (2*g2*t^2.28)/(g1*g3^5) + (g2*g3^7*t^2.67)/g1 + (g1*g3^7*t^2.79)/g2 + t^2.8/g3^6 + (2*g2*g3^5*t^3.61)/g1 + g3^4*t^4.13 + (2*g2*g3^3*t^4.54)/g1 + (3*g2^2*t^4.56)/(g1^2*g3^10) + (2*g1*g3^3*t^4.65)/g2 + (2*g2^2*g3^2*t^4.95)/g1^2 + g3^2*t^5.07 + (2*g2*t^5.08)/(g1*g3^11) + (g2^2*g3^14*t^5.35)/g1^2 + (g3^17*t^5.38)/(g1^3*g2^3) + g3^14*t^5.46 + (2*g2*g3*t^5.48)/g1 + (g1^2*g2^4*t^5.56)/g3^2 + (g1^2*g3^14*t^5.57)/g2^2 + (2*g1*g3*t^5.59)/g2 + t^5.6/g3^12 + (g1^4*g2^2*t^5.67)/g3^2 + (3*g2^2*t^5.89)/g1^2 - 5*t^6. - (g1^2*t^6.11)/g2^2 + (2*g2^2*g3^12*t^6.28)/g1^2 + (3*g3^15*t^6.31)/(g1^3*g2^3) + 2*g3^12*t^6.4 + (4*g2*t^6.41)/(g1*g3) + (g1^2*g2^4*t^6.49)/g3^4 + (g1^4*g2^2*t^6.61)/g3^4 + (g2*g3^11*t^6.81)/g1 + (3*g2^2*t^6.82)/(g1^2*g3^2) + (4*g2^3*t^6.84)/(g1^3*g3^15) + (g1*g3^11*t^6.92)/g2 - (g1^3*g2^3*t^7.02)/g3^5 - (g1^2*t^7.05)/(g2^2*g3^2) + (5*g2^2*g3^10*t^7.22)/g1^2 + (3*g2^3*t^7.23)/(g1^3*g3^3) + (2*g3^13*t^7.25)/(g1^3*g2^3) + (g2^6*t^7.32)/g3^6 + 4*g3^10*t^7.33 + (3*g2*t^7.35)/(g1*g3^3) + (3*g2^2*t^7.36)/(g1^2*g3^16) + (g1^2*g2^4*t^7.43)/g3^6 + (2*g1^2*g3^10*t^7.44)/g2^2 + (2*g1*t^7.46)/(g2*g3^3) + (g1^4*g2^2*t^7.54)/g3^6 + (2*g2^3*g3^9*t^7.63)/g1^3 + (g1^6*t^7.65)/g3^6 + (2*g2*g3^9*t^7.74)/g1 + (3*g2^2*t^7.76)/(g1^2*g3^4) - (2*g3^12*t^7.77)/(g1^2*g2^4) + (g1*g2^5*t^7.84)/g3^7 + (2*g2*t^7.88)/(g1*g3^17) - (g1^3*g2^3*t^7.95)/g3^7 - (g1^2*t^7.98)/(g2^2*g3^4) + (g2^3*g3^21*t^8.02)/g1^3 + (g3^24*t^8.05)/(g1^4*g2^2) - (g1^5*g2*t^8.06)/g3^7 + (g2*g3^21*t^8.14)/g1 + (6*g2^2*g3^8*t^8.15)/g1^2 + (g3^24*t^8.16)/(g1^2*g2^4) + (4*g2^3*t^8.17)/(g1^3*g3^5) + (2*g3^11*t^8.18)/(g1^3*g2^3) + g1*g2^5*g3^5*t^8.23 + (g1*g3^21*t^8.25)/g2 + 7*g3^8*t^8.26 - (7*g2*t^8.28)/(g1*g3^5) + 2*g1^3*g2^3*g3^5*t^8.35 + (g1^2*g2^4*t^8.36)/g3^8 + (g1^3*g3^21*t^8.36)/g2^3 + (2*g1^2*g3^8*t^8.37)/g2^2 + (g1*t^8.39)/(g2*g3^5) + t^8.41/g3^18 + g1^5*g2*g3^5*t^8.46 + (g1^4*g2^2*t^8.47)/g3^8 + (3*g2^3*g3^7*t^8.56)/g1^3 + (3*g3^10*t^8.59)/(g1^4*g2^2) - (4*g2*g3^7*t^8.67)/g1 + (6*g2^2*t^8.69)/(g1^2*g3^6) - (3*g3^10*t^8.7)/(g1^2*g2^4) - (6*g1*g3^7*t^8.79)/g2 - (5*t^8.8)/g3^6 - (2*g1^3*g2^3*t^8.88)/g3^9 - (g1^3*g3^7*t^8.9)/g2^3 - (g1^2*t^8.91)/(g2^2*g3^6) + (2*g2^3*g3^19*t^8.96)/g1^3 + (5*g3^22*t^8.99)/(g1^4*g2^2) + t^8.8/(g3^6*y^2) - t^3.93/(g3^2*y) - t^4.87/(g3^4*y) - (2*g2*t^6.21)/(g1*g3^7*y) - (g2*g3^5*t^6.61)/(g1*y) - (g1*g3^5*t^6.72)/(g2*y) - t^6.74/(g3^8*y) - (2*g2*t^7.15)/(g1*g3^9*y) - (2*g2*g3^3*t^7.54)/(g1*y) + (g2^2*t^7.56)/(g1^2*g3^10*y) - t^7.67/(g3^10*y) + (2*g2^2*g3^2*t^7.95)/(g1^2*y) + (2*g3^2*t^8.07)/y + (2*g2*t^8.08)/(g1*g3^11*y) + (g3^14*t^8.46)/y - (g2*g3*t^8.48)/(g1*y) - (3*g2^2*t^8.49)/(g1^2*g3^12*y) + (g1*g3*t^8.59)/(g2*y) + (2*g2^2*t^8.89)/(g1^2*y) - (t^3.93*y)/g3^2 - (t^4.87*y)/g3^4 - (2*g2*t^6.21*y)/(g1*g3^7) - (g2*g3^5*t^6.61*y)/g1 - (g1*g3^5*t^6.72*y)/g2 - (t^6.74*y)/g3^8 - (2*g2*t^7.15*y)/(g1*g3^9) - (2*g2*g3^3*t^7.54*y)/g1 + (g2^2*t^7.56*y)/(g1^2*g3^10) - (t^7.67*y)/g3^10 + (2*g2^2*g3^2*t^7.95*y)/g1^2 + 2*g3^2*t^8.07*y + (2*g2*t^8.08*y)/(g1*g3^11) + g3^14*t^8.46*y - (g2*g3*t^8.48*y)/g1 - (3*g2^2*t^8.49*y)/(g1^2*g3^12) + (g1*g3*t^8.59*y)/g2 + (2*g2^2*t^8.89*y)/g1^2 + (t^8.8*y^2)/g3^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58952 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4179 | 1.6198 | 0.8753 | [X:[1.362], M:[0.7767, 0.7767, 1.043], q:[0.3751, 0.6941], qb:[0.5292, 0.4877], phi:[0.319]] | 2*t^2.33 + t^2.59 + t^2.71 + t^3.13 + 2*t^3.55 + t^4.09 + 2*t^4.5 + 2*t^4.63 + 3*t^4.66 + 2*t^4.92 + t^5.04 + t^5.18 + t^5.29 + t^5.3 + t^5.43 + 3*t^5.46 + t^5.47 + t^5.58 + t^5.6 + t^5.72 + t^5.84 + 3*t^5.88 - 5*t^6. - t^3.96/y - t^4.91/y - t^3.96*y - t^4.91*y | detail | |
| 59289 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4189 | 1.6184 | 0.8767 | [X:[1.3911], M:[0.7304, 0.7304], q:[0.3795, 0.6839], qb:[0.5856, 0.5243], phi:[0.3045]] | 2*t^2.19 + t^2.71 + t^2.74 + t^2.9 + 2*t^3.62 + t^4.17 + 3*t^4.38 + 2*t^4.54 + 2*t^4.72 + 2*t^4.9 + 2*t^4.93 + t^5.09 + t^5.24 + t^5.42 + 2*t^5.45 + t^5.48 + t^5.61 + 2*t^5.64 + t^5.79 + 4*t^5.82 - 4*t^6. - t^3.91/y - t^4.83/y - t^3.91*y - t^4.83*y | detail | |
| 59447 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.4112 | 1.5998 | 0.8821 | [X:[1.4286], M:[0.7051, 0.7051], q:[0.4404, 0.7261], qb:[0.5687, 0.5504], phi:[0.2857]] | 2*t^2.12 + t^2.57 + t^2.97 + t^3.03 + 2*t^3.83 + 3*t^4.23 + t^4.29 + 4*t^4.69 + 2*t^4.74 + 2*t^5.09 + 2*t^5.14 + 2*t^5.54 + 2*t^5.6 + t^5.68 + t^5.87 + t^5.92 + 4*t^5.95 - 4*t^6. - t^3.86/y - t^4.71/y - (2*t^5.97)/y - t^3.86*y - t^4.71*y - 2*t^5.97*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47917 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4047 | 1.592 | 0.8823 | [X:[1.371], M:[0.7758], q:[0.384, 0.6985], qb:[0.5257, 0.5047], phi:[0.3145]] | t^2.327 + t^2.666 + t^2.729 + t^2.83 + 2*t^3.61 + t^3.673 + t^4.113 + 2*t^4.553 + 2*t^4.616 + t^4.655 + t^4.994 + t^5.158 + t^5.333 + t^5.343 + t^5.396 + t^5.458 + 2*t^5.497 + t^5.549 + 2*t^5.56 + t^5.612 + t^5.661 + t^5.937 - 4*t^6. - t^3.943/y - t^4.887/y - t^3.943*y - t^4.887*y | detail |