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 |
---|---|---|---|---|---|---|---|---|---|
57967 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4117 | 1.5916 | 0.8869 | [X:[1.3794], M:[0.7758, 1.0691], q:[0.3963, 0.5697], qb:[0.5176, 0.6545], phi:[0.3103]] | [X:[[0, 4]], M:[[0, -5], [0, 6]], q:[[1, 6], [-2, 5]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$ | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | -1 | t^2.33 + t^2.74 + t^3.15 + t^3.21 + t^3.26 + t^3.67 + t^4.08 + t^4.14 + t^4.19 + 2*t^4.6 + t^4.65 + t^5.01 + t^5.02 + t^5.07 + t^5.12 + t^5.48 + 2*t^5.53 + t^5.54 + t^5.89 + 2*t^5.95 - t^6. + t^6.31 + 2*t^6.36 + 3*t^6.41 + 3*t^6.47 + 2*t^6.83 + 3*t^6.88 + t^6.93 + t^6.98 + t^7.24 + 2*t^7.29 + 5*t^7.35 + 4*t^7.4 + t^7.45 + 4*t^7.76 + 2*t^7.81 + t^7.86 + 3*t^7.87 + t^7.92 + 3*t^8.17 + t^8.22 + 2*t^8.23 + 7*t^8.28 - 2*t^8.33 - t^8.38 + t^8.39 + t^8.64 + t^8.68 + 8*t^8.69 - 2*t^8.74 + 2*t^8.75 + 2*t^8.79 + 3*t^8.8 - t^8.85 + t^8.79/y^2 - t^3.93/y - t^4.86/y - t^6.26/y - t^6.67/y - t^7.08/y - t^7.14/y - (2*t^7.19)/y - t^7.6/y - t^8.01/y - t^8.12/y + t^8.48/y + t^8.89/y - t^3.93*y - t^4.86*y - t^6.26*y - t^6.67*y - t^7.08*y - t^7.14*y - 2*t^7.19*y - t^7.6*y - t^8.01*y - t^8.12*y + t^8.48*y + t^8.89*y + t^8.79*y^2 | t^2.33/g2^5 + g2^7*t^2.74 + g1^3*g2^6*t^3.15 + g2^6*t^3.21 + (g2^6*t^3.26)/g1^3 + g2^5*t^3.67 + g1^3*g2^4*t^4.08 + g2^4*t^4.14 + (g2^4*t^4.19)/g1^3 + 2*g2^3*t^4.6 + t^4.65/g2^10 + g1^3*g2^2*t^5.01 + g2^15*t^5.02 + g2^2*t^5.07 + (g2^2*t^5.12)/g1^3 + g2^14*t^5.48 + 2*g2*t^5.53 + (g2^14*t^5.54)/g1^3 + g1^3*g2^13*t^5.89 + 2*g2^13*t^5.95 - 2*t^6. + (g2^13*t^6.)/g1^3 + g1^6*g2^12*t^6.31 + 2*g1^3*g2^12*t^6.36 + 3*g2^12*t^6.41 + t^6.47/g2 + (2*g2^12*t^6.47)/g1^3 - t^6.52/(g1^3*g2) + (g2^12*t^6.52)/g1^6 + 2*g1^3*g2^11*t^6.83 + 3*g2^11*t^6.88 + (g2^11*t^6.93)/g1^3 + t^6.98/g2^15 + g1^6*g2^10*t^7.24 + 2*g1^3*g2^10*t^7.29 + 5*g2^10*t^7.35 + t^7.4/g2^3 + (3*g2^10*t^7.4)/g1^3 + (g2^10*t^7.45)/g1^6 + 3*g1^3*g2^9*t^7.76 + g2^22*t^7.76 - (g1^3*t^7.81)/g2^4 + 3*g2^9*t^7.81 + t^7.86/g2^4 + (3*g2^9*t^7.87)/g1^3 + (g2^9*t^7.92)/g1^6 + 2*g1^6*g2^8*t^8.17 + g1^3*g2^21*t^8.17 + g1^3*g2^8*t^8.22 + 2*g2^21*t^8.23 + 5*g2^8*t^8.28 + (2*g2^21*t^8.28)/g1^3 - (3*t^8.33)/g2^5 + (g2^8*t^8.33)/g1^3 - t^8.38/(g1^3*g2^5) + (g2^8*t^8.39)/g1^6 + g1^3*g2^20*t^8.64 + (g1^6*t^8.68)/g2^6 + 4*g1^3*g2^7*t^8.69 + 4*g2^20*t^8.69 - (g1^3*t^8.74)/g2^6 - g2^7*t^8.74 + (2*g2^20*t^8.75)/g1^3 + (2*t^8.79)/g2^6 + (2*g2^7*t^8.8)/g1^3 + (g2^20*t^8.8)/g1^6 - t^8.85/(g1^3*g2^6) + t^8.79/(g2^6*y^2) - t^3.93/(g2^2*y) - t^4.86/(g2^4*y) - t^6.26/(g2^7*y) - (g2^5*t^6.67)/y - (g1^3*g2^4*t^7.08)/y - (g2^4*t^7.14)/y - t^7.19/(g2^9*y) - (g2^4*t^7.19)/(g1^3*y) - (g2^3*t^7.6)/y - (g1^3*g2^2*t^8.01)/y - (g2^2*t^8.12)/(g1^3*y) + (g1^3*g2*t^8.48)/y - t^8.59/(g2^12*y) + (g2*t^8.59)/(g1^3*y) + (g1^3*g2^13*t^8.89)/y - (g1^3*t^8.95)/y + (g2^13*t^8.95)/y - (t^3.93*y)/g2^2 - (t^4.86*y)/g2^4 - (t^6.26*y)/g2^7 - g2^5*t^6.67*y - g1^3*g2^4*t^7.08*y - g2^4*t^7.14*y - (t^7.19*y)/g2^9 - (g2^4*t^7.19*y)/g1^3 - g2^3*t^7.6*y - g1^3*g2^2*t^8.01*y - (g2^2*t^8.12*y)/g1^3 + g1^3*g2*t^8.48*y - (t^8.59*y)/g2^12 + (g2*t^8.59*y)/g1^3 + g1^3*g2^13*t^8.89*y - g1^3*t^8.95*y + g2^13*t^8.95*y + (t^8.79*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
61117 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3038 | 1.4633 | 0.891 | [X:[1.4317], M:[0.7104, 1.1476], q:[0.5756, 0.4336], qb:[0.4299, 0.8561], phi:[0.2841]] | t^2.13 + t^2.59 + t^3.02 + 2*t^3.44 + t^3.87 + t^4.26 + 3*t^4.3 + 2*t^4.72 + 2*t^5.15 + 2*t^5.18 + t^5.57 + 2*t^5.61 - t^6. - t^3.85/y - t^4.7/y - t^5.98/y - t^3.85*y - t^4.7*y - t^5.98*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 |
---|---|---|---|---|---|---|---|---|---|
57305 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4324 | 1.6286 | 0.8795 | [X:[1.3376], M:[0.828, 1.0064], q:[0.4204, 0.586], qb:[0.4204, 0.586], phi:[0.3312]] | t^2.484 + t^2.522 + 3*t^3.019 + t^3.516 + 3*t^4.013 + 2*t^4.51 + t^4.968 + 3*t^5.006 + t^5.045 + 2*t^5.274 + 2*t^5.503 + 3*t^5.541 + 2*t^5.771 - 3*t^6. - t^3.994/y - t^4.987/y - t^3.994*y - t^4.987*y | detail |