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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56485 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.5997 | 0.7631 | 0.7859 | [X:[1.3442], M:[1.2698, 1.0372, 0.7302, 0.6558, 0.9628, 0.7302, 0.7721], q:[0.3279, 0.4023], qb:[0.6349, 0.9419], phi:[0.4233]] | [X:[[22]], M:[[-6], [14], [6], [-22], [-14], [6], [-32]], q:[[-11], [17]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}q_{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | 2*t^2.191 + t^2.316 + t^2.54 + t^2.888 + t^3.112 + t^3.237 + t^3.46 + t^4.032 + 3*t^4.381 + 2*t^4.507 + t^4.633 + 3*t^4.73 + t^4.856 + 3*t^5.079 + t^5.205 + 2*t^5.302 + 3*t^5.428 + t^5.554 + 2*t^5.651 + 2*t^5.777 - t^6. + t^6.126 + 2*t^6.223 + t^6.349 + t^6.475 + 4*t^6.572 + 2*t^6.698 + 2*t^6.823 + 3*t^6.921 + t^6.949 + 2*t^7.047 + t^7.172 + 4*t^7.27 + 3*t^7.395 + 2*t^7.493 + t^7.521 + 5*t^7.619 + 3*t^7.744 + 2*t^7.842 + t^7.87 + 4*t^7.968 + t^8.065 + 2*t^8.093 - 3*t^8.191 + t^8.316 + 2*t^8.414 + t^8.442 - t^8.54 + 3*t^8.665 + 4*t^8.763 + t^8.791 - t^8.888 - t^4.27/y - t^6.46/y - t^6.586/y - t^6.809/y + t^7.381/y + (2*t^7.507)/y + (3*t^7.73)/y + t^7.856/y + t^7.953/y + (3*t^8.079)/y + t^8.205/y + (2*t^8.302)/y + (4*t^8.428)/y + t^8.554/y + (2*t^8.651)/y + t^8.777/y - t^8.903/y - t^4.27*y - t^6.46*y - t^6.586*y - t^6.809*y + t^7.381*y + 2*t^7.507*y + 3*t^7.73*y + t^7.856*y + t^7.953*y + 3*t^8.079*y + t^8.205*y + 2*t^8.302*y + 4*t^8.428*y + t^8.554*y + 2*t^8.651*y + t^8.777*y - t^8.903*y | 2*g1^6*t^2.191 + t^2.316/g1^32 + t^2.54/g1^4 + t^2.888/g1^14 + g1^14*t^3.112 + t^3.237/g1^24 + g1^4*t^3.46 + g1^22*t^4.032 + 3*g1^12*t^4.381 + (2*t^4.507)/g1^26 + t^4.633/g1^64 + 3*g1^2*t^4.73 + t^4.856/g1^36 + (3*t^5.079)/g1^8 + t^5.205/g1^46 + 2*g1^20*t^5.302 + (3*t^5.428)/g1^18 + t^5.554/g1^56 + 2*g1^10*t^5.651 + (2*t^5.777)/g1^28 - t^6. + t^6.126/g1^38 + 2*g1^28*t^6.223 + t^6.349/g1^10 + t^6.475/g1^48 + 4*g1^18*t^6.572 + (2*t^6.698)/g1^20 + (2*t^6.823)/g1^58 + 3*g1^8*t^6.921 + t^6.949/g1^96 + (2*t^7.047)/g1^30 + t^7.172/g1^68 + (4*t^7.27)/g1^2 + (3*t^7.395)/g1^40 + 2*g1^26*t^7.493 + t^7.521/g1^78 + (5*t^7.619)/g1^12 + (3*t^7.744)/g1^50 + 2*g1^16*t^7.842 + t^7.87/g1^88 + (4*t^7.968)/g1^22 + g1^44*t^8.065 + (2*t^8.093)/g1^60 - 3*g1^6*t^8.191 + t^8.316/g1^32 + 2*g1^34*t^8.414 + t^8.442/g1^70 - t^8.54/g1^4 + (3*t^8.665)/g1^42 + 4*g1^24*t^8.763 + t^8.791/g1^80 - t^8.888/g1^14 - t^4.27/(g1^2*y) - (g1^4*t^6.46)/y - t^6.586/(g1^34*y) - t^6.809/(g1^6*y) + (g1^12*t^7.381)/y + (2*t^7.507)/(g1^26*y) + (3*g1^2*t^7.73)/y + t^7.856/(g1^36*y) + (g1^30*t^7.953)/y + (3*t^8.079)/(g1^8*y) + t^8.205/(g1^46*y) + (2*g1^20*t^8.302)/y + (4*t^8.428)/(g1^18*y) + t^8.554/(g1^56*y) + (2*g1^10*t^8.651)/y + t^8.777/(g1^28*y) - t^8.903/(g1^66*y) - (t^4.27*y)/g1^2 - g1^4*t^6.46*y - (t^6.586*y)/g1^34 - (t^6.809*y)/g1^6 + g1^12*t^7.381*y + (2*t^7.507*y)/g1^26 + 3*g1^2*t^7.73*y + (t^7.856*y)/g1^36 + g1^30*t^7.953*y + (3*t^8.079*y)/g1^8 + (t^8.205*y)/g1^46 + 2*g1^20*t^8.302*y + (4*t^8.428*y)/g1^18 + (t^8.554*y)/g1^56 + 2*g1^10*t^8.651*y + (t^8.777*y)/g1^28 - (t^8.903*y)/g1^66 |
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 |
---|---|---|---|---|---|---|---|---|
58784 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.5864 | 0.74 | 0.7924 | [X:[1.3391], M:[1.2712, 1.034, 0.7288, 0.6609, 0.966, 0.7288, 0.7795, 1.1526], q:[0.3304, 0.3984], qb:[0.6356, 0.9407], phi:[0.4237]] | 2*t^2.187 + t^2.338 + t^2.898 + t^3.102 + t^3.254 + 2*t^3.458 + t^4.017 + 3*t^4.373 + 2*t^4.525 + t^4.677 + t^4.729 + 2*t^5.085 + t^5.237 + 2*t^5.288 + 2*t^5.44 + t^5.592 + 3*t^5.644 + 2*t^5.796 - 2*t^6. - t^4.271/y - t^4.271*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
53323 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6038 | 0.7739 | 0.7802 | [M:[1.2786, 1.0166, 0.7214, 0.6882, 0.9834, 0.7214], q:[0.3441, 0.3773], qb:[0.6393, 0.9345], phi:[0.4262]] | t^2.065 + 2*t^2.164 + t^2.557 + t^2.95 + t^3.05 + t^3.343 + t^3.443 + t^3.542 + t^4.129 + 2*t^4.229 + 3*t^4.328 + t^4.622 + 3*t^4.721 + t^5.015 + 4*t^5.114 + 2*t^5.214 + t^5.408 + 3*t^5.507 + 3*t^5.607 + 2*t^5.707 + t^5.9 - t^6. - t^4.279/y - t^4.279*y | detail |