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 |
---|---|---|---|---|---|---|---|---|---|
55617 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6488 | 0.8006 | 0.8104 | [M:[0.9267, 1.1413, 1.096, 0.8587, 0.712, 1.096], q:[0.514, 0.5593], qb:[0.3447, 0.774], phi:[0.452]] | [M:[[-10], [-8], [4], [8], [-12], [4]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.136 + t^2.576 + t^2.78 + 2*t^3.288 + t^3.356 + t^3.424 + t^3.932 + t^4. + t^4.068 + t^4.272 + t^4.44 + t^4.576 + 2*t^4.712 + t^4.916 + t^5.152 + 2*t^5.424 + 2*t^5.56 + t^5.864 + t^5.932 - 2*t^6. + 2*t^6.068 + t^6.136 + 2*t^6.204 + t^6.408 + 3*t^6.576 + 2*t^6.712 + t^6.78 + 3*t^6.848 + t^7.016 + t^7.052 + t^7.22 + 2*t^7.288 + 2*t^7.356 + t^7.424 + t^7.492 + 2*t^7.56 + 2*t^7.696 + 2*t^7.728 + t^7.864 + 2*t^8. + t^8.068 - t^8.136 + 2*t^8.204 + 3*t^8.34 + t^8.372 + t^8.44 + t^8.508 + t^8.544 - 2*t^8.576 - t^8.644 + 3*t^8.712 - 3*t^8.78 + 2*t^8.848 + t^8.88 + t^8.916 + 4*t^8.984 - t^4.356/y - t^6.492/y + t^7.068/y - t^7.136/y + t^7.576/y - t^7.644/y + t^7.712/y + t^7.916/y + t^8.22/y + t^8.356/y + (2*t^8.424)/y + t^8.492/y + t^8.56/y - t^8.628/y + (2*t^8.864)/y + t^8.932/y - t^4.356*y - t^6.492*y + t^7.068*y - t^7.136*y + t^7.576*y - t^7.644*y + t^7.712*y + t^7.916*y + t^8.22*y + t^8.356*y + 2*t^8.424*y + t^8.492*y + t^8.56*y - t^8.628*y + 2*t^8.864*y + t^8.932*y | t^2.136/g1^12 + g1^8*t^2.576 + t^2.78/g1^10 + 2*g1^4*t^3.288 + t^3.356/g1^2 + t^3.424/g1^8 + g1^6*t^3.932 + t^4. + t^4.068/g1^6 + t^4.272/g1^24 + g1^20*t^4.44 + g1^8*t^4.576 + (2*t^4.712)/g1^4 + t^4.916/g1^22 + g1^16*t^5.152 + (2*t^5.424)/g1^8 + (2*t^5.56)/g1^20 + g1^12*t^5.864 + g1^6*t^5.932 - 2*t^6. + (2*t^6.068)/g1^6 + t^6.136/g1^12 + (2*t^6.204)/g1^18 + t^6.408/g1^36 + 3*g1^8*t^6.576 + (2*t^6.712)/g1^4 + t^6.78/g1^10 + (3*t^6.848)/g1^16 + g1^28*t^7.016 + t^7.052/g1^34 + g1^10*t^7.22 + 2*g1^4*t^7.288 + (2*t^7.356)/g1^2 + t^7.424/g1^8 + t^7.492/g1^14 + (2*t^7.56)/g1^20 + (2*t^7.696)/g1^32 + 2*g1^24*t^7.728 + g1^12*t^7.864 + 2*t^8. + t^8.068/g1^6 - t^8.136/g1^12 + (2*t^8.204)/g1^18 + (3*t^8.34)/g1^30 + g1^26*t^8.372 + g1^20*t^8.44 + g1^14*t^8.508 + t^8.544/g1^48 - 2*g1^8*t^8.576 - g1^2*t^8.644 + (3*t^8.712)/g1^4 - (3*t^8.78)/g1^10 + (2*t^8.848)/g1^16 + g1^40*t^8.88 + t^8.916/g1^22 + (4*t^8.984)/g1^28 - t^4.356/(g1^2*y) - t^6.492/(g1^14*y) + t^7.068/(g1^6*y) - t^7.136/(g1^12*y) + (g1^8*t^7.576)/y - (g1^2*t^7.644)/y + t^7.712/(g1^4*y) + t^7.916/(g1^22*y) + (g1^10*t^8.22)/y + t^8.356/(g1^2*y) + (2*t^8.424)/(g1^8*y) + t^8.492/(g1^14*y) + t^8.56/(g1^20*y) - t^8.628/(g1^26*y) + (2*g1^12*t^8.864)/y + (g1^6*t^8.932)/y - (t^4.356*y)/g1^2 - (t^6.492*y)/g1^14 + (t^7.068*y)/g1^6 - (t^7.136*y)/g1^12 + g1^8*t^7.576*y - g1^2*t^7.644*y + (t^7.712*y)/g1^4 + (t^7.916*y)/g1^22 + g1^10*t^8.22*y + (t^8.356*y)/g1^2 + (2*t^8.424*y)/g1^8 + (t^8.492*y)/g1^14 + (t^8.56*y)/g1^20 - (t^8.628*y)/g1^26 + 2*g1^12*t^8.864*y + g1^6*t^8.932*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 |
---|---|---|---|---|---|---|---|---|
57264 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6434 | 0.7917 | 0.8126 | [M:[0.9565, 1.1652, 1.0841, 0.8348, 0.7478, 1.0841, 1.0435], q:[0.4812, 0.5623], qb:[0.3536, 0.771], phi:[0.458]] | t^2.243 + t^2.504 + t^3.131 + 2*t^3.252 + t^3.374 + t^3.496 + t^3.878 + t^4. + t^4.122 + t^4.261 + t^4.487 + t^4.504 + 2*t^4.748 + t^5.009 + 2*t^5.496 + t^5.635 + t^5.739 + t^5.757 + t^5.878 - 2*t^6. - t^4.374/y - t^4.374*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 |
---|---|---|---|---|---|---|---|---|---|
47256 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6577 | 0.8161 | 0.8059 | [M:[0.9156, 1.1325, 1.1004, 0.8675, 0.6987], q:[0.5262, 0.5582], qb:[0.3414, 0.7751], phi:[0.4498]] | t^2.096 + t^2.603 + t^2.699 + t^2.747 + t^3.301 + t^3.349 + t^3.397 + t^3.952 + t^4. + t^4.048 + t^4.192 + t^4.506 + t^4.603 + 2*t^4.699 + t^4.795 + t^4.843 + t^5.205 + t^5.301 + 2*t^5.397 + t^5.446 + 2*t^5.494 + t^5.952 - t^6. - t^4.349/y - t^4.349*y | detail |