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 |
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6796 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7142 | 0.9141 | 0.7813 | [X:[1.3447], M:[1.0, 0.8277, 1.1723, 0.6553, 0.8277, 0.7415, 1.026, 0.6894, 0.8016], q:[0.4268, 0.5732], qb:[0.4008, 0.7715], phi:[0.4569]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [-12], [-22], [32], [14]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{8}$, ${ }M_{6}$, ${ }M_{9}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }M_{8}M_{9}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{9}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{9}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{9}$, ${ }M_{5}M_{9}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{9}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | t^2.068 + t^2.224 + t^2.405 + 2*t^2.483 + t^2.741 + t^3. + t^3.078 + t^3.854 + t^4.034 + t^4.136 + 2*t^4.293 + t^4.371 + t^4.449 + t^4.473 + 2*t^4.551 + t^4.629 + 2*t^4.707 + 3*t^4.81 + 2*t^4.888 + 4*t^4.966 + t^5.068 + 2*t^5.146 + 3*t^5.224 + t^5.303 + t^5.405 + 3*t^5.483 + t^5.561 + t^5.741 + t^5.82 - 2*t^6. + t^6.078 + t^6.102 + t^6.156 + t^6.205 + t^6.259 + t^6.337 + 2*t^6.361 + t^6.439 + 2*t^6.517 + t^6.541 + t^6.595 + 2*t^6.619 + t^6.673 + 2*t^6.697 + 4*t^6.776 + 2*t^6.854 + 3*t^6.878 + 2*t^6.932 + 2*t^6.956 + 6*t^7.034 + 2*t^7.112 + t^7.136 + 3*t^7.19 + 4*t^7.214 + 6*t^7.293 + 4*t^7.371 + 6*t^7.449 + t^7.473 + t^7.527 + 4*t^7.551 + 3*t^7.629 + 6*t^7.707 + t^7.786 + t^7.81 + 3*t^7.888 + 4*t^7.966 + 2*t^8.044 - 2*t^8.068 + t^8.17 + t^8.224 + t^8.273 + 2*t^8.303 + t^8.381 - 3*t^8.405 + 2*t^8.429 - 3*t^8.483 + t^8.507 + 2*t^8.561 + 2*t^8.585 + t^8.609 + t^8.639 + 2*t^8.688 - t^8.741 + 2*t^8.766 + 2*t^8.82 + 5*t^8.844 + 2*t^8.898 + 3*t^8.946 - t^4.371/y - t^6.439/y - t^6.595/y - t^6.776/y - t^6.854/y - t^7.112/y + (2*t^7.293)/y - t^7.449/y + t^7.473/y + (2*t^7.551)/y + (2*t^7.629)/y + (2*t^7.707)/y + t^7.81/y + (3*t^7.888)/y + (3*t^7.966)/y + t^8.068/y + (3*t^8.146)/y + (3*t^8.224)/y + (2*t^8.303)/y + t^8.405/y + (3*t^8.483)/y - t^8.507/y + (2*t^8.561)/y - t^8.663/y + t^8.741/y - t^8.844/y - t^4.371*y - t^6.439*y - t^6.595*y - t^6.776*y - t^6.854*y - t^7.112*y + 2*t^7.293*y - t^7.449*y + t^7.473*y + 2*t^7.551*y + 2*t^7.629*y + 2*t^7.707*y + t^7.81*y + 3*t^7.888*y + 3*t^7.966*y + t^8.068*y + 3*t^8.146*y + 3*t^8.224*y + 2*t^8.303*y + t^8.405*y + 3*t^8.483*y - t^8.507*y + 2*t^8.561*y - t^8.663*y + t^8.741*y - t^8.844*y | g1^32*t^2.068 + t^2.224/g1^12 + g1^14*t^2.405 + (2*t^2.483)/g1^8 + t^2.741/g1^4 + t^3. + t^3.078/g1^22 + t^3.854/g1^10 + g1^16*t^4.034 + g1^64*t^4.136 + 2*g1^20*t^4.293 + t^4.371/g1^2 + t^4.449/g1^24 + g1^46*t^4.473 + 2*g1^24*t^4.551 + g1^2*t^4.629 + (2*t^4.707)/g1^20 + 3*g1^28*t^4.81 + 2*g1^6*t^4.888 + (4*t^4.966)/g1^16 + g1^32*t^5.068 + 2*g1^10*t^5.146 + (3*t^5.224)/g1^12 + t^5.303/g1^34 + g1^14*t^5.405 + (3*t^5.483)/g1^8 + t^5.561/g1^30 + t^5.741/g1^4 + t^5.82/g1^26 - 2*t^6. + t^6.078/g1^22 + g1^48*t^6.102 + t^6.156/g1^44 + g1^96*t^6.205 + g1^4*t^6.259 + t^6.337/g1^18 + 2*g1^52*t^6.361 + g1^30*t^6.439 + 2*g1^8*t^6.517 + g1^78*t^6.541 + t^6.595/g1^14 + 2*g1^56*t^6.619 + t^6.673/g1^36 + 2*g1^34*t^6.697 + 4*g1^12*t^6.776 + (2*t^6.854)/g1^10 + 3*g1^60*t^6.878 + (2*t^6.932)/g1^32 + 2*g1^38*t^6.956 + 6*g1^16*t^7.034 + (2*t^7.112)/g1^6 + g1^64*t^7.136 + (3*t^7.19)/g1^28 + 4*g1^42*t^7.214 + 6*g1^20*t^7.293 + (4*t^7.371)/g1^2 + (6*t^7.449)/g1^24 + g1^46*t^7.473 + t^7.527/g1^46 + 4*g1^24*t^7.551 + 3*g1^2*t^7.629 + (6*t^7.707)/g1^20 + t^7.786/g1^42 + g1^28*t^7.81 + 3*g1^6*t^7.888 + (4*t^7.966)/g1^16 + (2*t^8.044)/g1^38 - 2*g1^32*t^8.068 + g1^80*t^8.17 + t^8.224/g1^12 + g1^128*t^8.273 + (2*t^8.303)/g1^34 + t^8.381/g1^56 - 3*g1^14*t^8.405 + 2*g1^84*t^8.429 - (3*t^8.483)/g1^8 + g1^62*t^8.507 + (2*t^8.561)/g1^30 + 2*g1^40*t^8.585 + g1^110*t^8.609 + t^8.639/g1^52 + 2*g1^88*t^8.688 - t^8.741/g1^4 + 2*g1^66*t^8.766 + (2*t^8.82)/g1^26 + 5*g1^44*t^8.844 + (2*t^8.898)/g1^48 + 3*g1^92*t^8.946 - t^4.371/(g1^2*y) - (g1^30*t^6.439)/y - t^6.595/(g1^14*y) - (g1^12*t^6.776)/y - t^6.854/(g1^10*y) - t^7.112/(g1^6*y) + (2*g1^20*t^7.293)/y - t^7.449/(g1^24*y) + (g1^46*t^7.473)/y + (2*g1^24*t^7.551)/y + (2*g1^2*t^7.629)/y + (2*t^7.707)/(g1^20*y) + (g1^28*t^7.81)/y + (3*g1^6*t^7.888)/y + (3*t^7.966)/(g1^16*y) + (g1^32*t^8.068)/y + (3*g1^10*t^8.146)/y + (3*t^8.224)/(g1^12*y) + (2*t^8.303)/(g1^34*y) + (g1^14*t^8.405)/y + (3*t^8.483)/(g1^8*y) - (g1^62*t^8.507)/y + (2*t^8.561)/(g1^30*y) - (g1^18*t^8.663)/y + t^8.741/(g1^4*y) - (g1^44*t^8.844)/y - (t^4.371*y)/g1^2 - g1^30*t^6.439*y - (t^6.595*y)/g1^14 - g1^12*t^6.776*y - (t^6.854*y)/g1^10 - (t^7.112*y)/g1^6 + 2*g1^20*t^7.293*y - (t^7.449*y)/g1^24 + g1^46*t^7.473*y + 2*g1^24*t^7.551*y + 2*g1^2*t^7.629*y + (2*t^7.707*y)/g1^20 + g1^28*t^7.81*y + 3*g1^6*t^7.888*y + (3*t^7.966*y)/g1^16 + g1^32*t^8.068*y + 3*g1^10*t^8.146*y + (3*t^8.224*y)/g1^12 + (2*t^8.303*y)/g1^34 + g1^14*t^8.405*y + (3*t^8.483*y)/g1^8 - g1^62*t^8.507*y + (2*t^8.561*y)/g1^30 - g1^18*t^8.663*y + (t^8.741*y)/g1^4 - g1^44*t^8.844*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 |
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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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
5239 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.698 | 0.8855 | 0.7883 | [X:[1.354], M:[1.0, 0.823, 1.177, 0.646, 0.823, 0.7345, 1.0132, 0.708], q:[0.4181, 0.5819], qb:[0.4049, 0.7721], phi:[0.4557]] | t^2.124 + t^2.203 + 2*t^2.469 + t^2.734 + t^3. + t^3.04 + t^3.571 + t^3.836 + t^4.062 + t^4.248 + 2*t^4.328 + t^4.367 + t^4.407 + 2*t^4.593 + 2*t^4.672 + 2*t^4.859 + 4*t^4.938 + t^5.124 + t^5.164 + 3*t^5.203 + t^5.243 + 2*t^5.469 + t^5.509 + t^5.695 + t^5.734 + 2*t^5.774 - 2*t^6. - t^4.367/y - t^4.367*y | detail |