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 |
---|---|---|---|---|---|---|---|---|---|
57560 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6476 | 0.8117 | 0.7978 | [M:[1.2087, 0.8022, 0.7913, 0.8239, 0.7696, 0.8348, 1.1761], q:[0.412, 0.3793], qb:[0.7859, 0.7967], phi:[0.4065]] | [M:[[-8], [-2], [8], [-22], [28], [-32], [22]], q:[[-11], [19]], qb:[[13], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.309 + t^2.374 + t^2.407 + t^2.439 + t^2.504 + t^3.496 + t^3.528 + t^3.593 + t^3.626 + t^4.617 + t^4.683 + 2*t^4.715 + 3*t^4.748 + 4*t^4.813 + t^4.846 + t^4.878 + t^4.911 + t^4.944 + t^5.009 + t^5.804 + t^5.837 + t^5.87 + 2*t^5.902 + 4*t^5.935 + t^5.967 - t^6. + 2*t^6.033 - t^6.098 + t^6.13 + t^6.926 + 2*t^6.991 + 3*t^7.024 + 3*t^7.056 + t^7.089 + 5*t^7.122 + 2*t^7.154 + 2*t^7.187 + t^7.22 + 4*t^7.252 + t^7.285 + 3*t^7.317 + t^7.35 + t^7.383 + t^7.415 + t^7.448 + t^7.513 + t^8.113 + t^8.146 + t^8.178 + 3*t^8.211 + 6*t^8.243 + t^8.276 + 5*t^8.341 - 3*t^8.407 - 3*t^8.504 - t^8.602 + t^8.635 - t^4.22/y - t^6.528/y - t^6.626/y - t^6.659/y - t^6.724/y + t^7.683/y + (2*t^7.715)/y + t^7.748/y + (2*t^7.78)/y + (3*t^7.813)/y + t^7.846/y + t^7.878/y + (2*t^7.911)/y + t^7.944/y + t^8.804/y + t^8.87/y + (3*t^8.902)/y + (2*t^8.935)/y + t^8.967/y - t^4.22*y - t^6.528*y - t^6.626*y - t^6.659*y - t^6.724*y + t^7.683*y + 2*t^7.715*y + t^7.748*y + 2*t^7.78*y + 3*t^7.813*y + t^7.846*y + t^7.878*y + 2*t^7.911*y + t^7.944*y + t^8.804*y + t^8.87*y + 3*t^8.902*y + 2*t^8.935*y + t^8.967*y | g1^28*t^2.309 + g1^8*t^2.374 + t^2.407/g1^2 + t^2.439/g1^12 + t^2.504/g1^32 + g1^32*t^3.496 + g1^22*t^3.528 + g1^2*t^3.593 + t^3.626/g1^8 + g1^56*t^4.617 + g1^36*t^4.683 + 2*g1^26*t^4.715 + 3*g1^16*t^4.748 + (4*t^4.813)/g1^4 + t^4.846/g1^14 + t^4.878/g1^24 + t^4.911/g1^34 + t^4.944/g1^44 + t^5.009/g1^64 + g1^60*t^5.804 + g1^50*t^5.837 + g1^40*t^5.87 + 2*g1^30*t^5.902 + 4*g1^20*t^5.935 + g1^10*t^5.967 - t^6. + (2*t^6.033)/g1^10 - t^6.098/g1^30 + t^6.13/g1^40 + g1^84*t^6.926 + 2*g1^64*t^6.991 + 3*g1^54*t^7.024 + 3*g1^44*t^7.056 + g1^34*t^7.089 + 5*g1^24*t^7.122 + 2*g1^14*t^7.154 + 2*g1^4*t^7.187 + t^7.22/g1^6 + (4*t^7.252)/g1^16 + t^7.285/g1^26 + (3*t^7.317)/g1^36 + t^7.35/g1^46 + t^7.383/g1^56 + t^7.415/g1^66 + t^7.448/g1^76 + t^7.513/g1^96 + g1^88*t^8.113 + g1^78*t^8.146 + g1^68*t^8.178 + 3*g1^58*t^8.211 + 6*g1^48*t^8.243 + g1^38*t^8.276 + 5*g1^18*t^8.341 - (3*t^8.407)/g1^2 - (3*t^8.504)/g1^32 - t^8.602/g1^62 + t^8.635/g1^72 - t^4.22/(g1^6*y) - (g1^22*t^6.528)/y - t^6.626/(g1^8*y) - t^6.659/(g1^18*y) - t^6.724/(g1^38*y) + (g1^36*t^7.683)/y + (2*g1^26*t^7.715)/y + (g1^16*t^7.748)/y + (2*g1^6*t^7.78)/y + (3*t^7.813)/(g1^4*y) + t^7.846/(g1^14*y) + t^7.878/(g1^24*y) + (2*t^7.911)/(g1^34*y) + t^7.944/(g1^44*y) + (g1^60*t^8.804)/y + (g1^40*t^8.87)/y + (3*g1^30*t^8.902)/y + (2*g1^20*t^8.935)/y + (g1^10*t^8.967)/y - (t^4.22*y)/g1^6 - g1^22*t^6.528*y - (t^6.626*y)/g1^8 - (t^6.659*y)/g1^18 - (t^6.724*y)/g1^38 + g1^36*t^7.683*y + 2*g1^26*t^7.715*y + g1^16*t^7.748*y + 2*g1^6*t^7.78*y + (3*t^7.813*y)/g1^4 + (t^7.846*y)/g1^14 + (t^7.878*y)/g1^24 + (2*t^7.911*y)/g1^34 + (t^7.944*y)/g1^44 + g1^60*t^8.804*y + g1^40*t^8.87*y + 3*g1^30*t^8.902*y + 2*g1^20*t^8.935*y + g1^10*t^8.967*y |
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 |
---|---|---|---|---|---|---|---|---|
58930 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ | 0.63 | 0.78 | 0.8077 | [M:[1.2015, 0.8004, 0.7985, 0.8043, 0.7946, 0.8062, 1.1957, 1.2054], q:[0.4021, 0.3963], qb:[0.7975, 0.7994], phi:[0.4012]] | t^2.395 + t^2.401 + t^2.407 + t^2.419 + t^3.581 + t^3.587 + t^3.599 + t^3.605 + t^3.616 + t^4.785 + 2*t^4.791 + 3*t^4.802 + t^4.808 + t^4.814 + t^4.82 + t^4.826 + t^4.837 + t^5.977 + t^5.983 + 3*t^5.988 + t^5.994 - t^6. - t^4.203/y - t^4.203*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 |
---|---|---|---|---|---|---|---|---|---|
55913 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.6832 | 0.859 | 0.7953 | [M:[1.1731, 1.0135, 0.8269, 0.7994, 0.7473, 0.6924, 1.2006], q:[0.3997, 0.4272], qb:[0.5868, 0.7734], phi:[0.4532]] | t^2.077 + t^2.242 + t^2.481 + t^2.719 + t^3.04 + t^3.042 + t^3.519 + t^3.602 + t^3.84 + t^4.081 + t^4.155 + 2*t^4.319 + t^4.402 + t^4.484 + t^4.558 + t^4.723 + t^4.797 + t^4.881 + 2*t^4.961 + t^5.118 + t^5.119 + t^5.2 + t^5.282 + t^5.284 + t^5.523 + t^5.597 + t^5.679 + t^5.76 + 2*t^5.761 + t^5.844 - 2*t^6. - t^4.36/y - t^4.36*y | detail |