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 |
---|---|---|---|---|---|---|---|---|---|
1431 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.707 | 0.8694 | 0.8131 | [M:[1.0397, 0.8808, 0.8808, 1.0397, 1.0, 0.9603], q:[0.5397, 0.4205], qb:[0.5795, 0.5397], phi:[0.4801]] | [M:[[2], [-6], [-6], [2], [0], [-2]], q:[[2], [-4]], qb:[[4], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}M_{4}M_{6}$ | -3 | 2*t^2.642 + 2*t^2.881 + t^3. + t^3.119 + t^3.238 + t^3.963 + 2*t^4.321 + t^4.44 + 3*t^4.679 + 2*t^4.798 + t^4.917 + 3*t^5.285 + 3*t^5.523 + 5*t^5.762 + 2*t^5.881 - 3*t^6. + t^6.119 + t^6.238 - t^6.358 + 2*t^6.606 + 2*t^6.844 + 4*t^6.963 + 4*t^7.202 + 6*t^7.321 + 6*t^7.56 + 3*t^7.679 + 3*t^7.917 + 5*t^7.927 + 4*t^8.165 + t^8.285 + 8*t^8.404 - t^8.523 + 4*t^8.762 - 6*t^8.881 - t^4.44/y - (2*t^7.083)/y + (2*t^7.798)/y + t^8.285/y + (4*t^8.523)/y + (2*t^8.642)/y + (3*t^8.762)/y + (4*t^8.881)/y - t^4.44*y - 2*t^7.083*y + 2*t^7.798*y + t^8.285*y + 4*t^8.523*y + 2*t^8.642*y + 3*t^8.762*y + 4*t^8.881*y | (2*t^2.642)/g1^6 + (2*t^2.881)/g1^2 + t^3. + g1^2*t^3.119 + g1^4*t^3.238 + t^3.963/g1^9 + (2*t^4.321)/g1^3 + t^4.44/g1 + 3*g1^3*t^4.679 + 2*g1^5*t^4.798 + g1^7*t^4.917 + (3*t^5.285)/g1^12 + (3*t^5.523)/g1^8 + (5*t^5.762)/g1^4 + (2*t^5.881)/g1^2 - 3*t^6. + g1^2*t^6.119 + g1^4*t^6.238 - g1^6*t^6.358 + (2*t^6.606)/g1^15 + (2*t^6.844)/g1^11 + (4*t^6.963)/g1^9 + (4*t^7.202)/g1^5 + (6*t^7.321)/g1^3 + 6*g1*t^7.56 + 3*g1^3*t^7.679 + 3*g1^7*t^7.917 + (5*t^7.927)/g1^18 + (4*t^8.165)/g1^14 + t^8.285/g1^12 + (8*t^8.404)/g1^10 - t^8.523/g1^8 + (4*t^8.762)/g1^4 - (6*t^8.881)/g1^2 - t^4.44/(g1*y) - (2*t^7.083)/(g1^7*y) + (2*g1^5*t^7.798)/y + t^8.285/(g1^12*y) + (4*t^8.523)/(g1^8*y) + (2*t^8.642)/(g1^6*y) + (3*t^8.762)/(g1^4*y) + (4*t^8.881)/(g1^2*y) - (t^4.44*y)/g1 - (2*t^7.083*y)/g1^7 + 2*g1^5*t^7.798*y + (t^8.285*y)/g1^12 + (4*t^8.523*y)/g1^8 + (2*t^8.642*y)/g1^6 + (3*t^8.762*y)/g1^4 + (4*t^8.881*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2495 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{7}$ | 0.7109 | 0.8768 | 0.8108 | [M:[1.0441, 0.8676, 0.8676, 1.0441, 1.0, 0.9559, 0.9559], q:[0.5441, 0.4117], qb:[0.5883, 0.5441], phi:[0.4779]] | 2*t^2.603 + 3*t^2.868 + t^3. + t^3.265 + t^3.904 + 2*t^4.301 + t^4.434 + 3*t^4.699 + 2*t^4.831 + t^4.963 + 3*t^5.206 + 5*t^5.47 + 6*t^5.735 + 3*t^5.868 - 5*t^6. - t^4.434/y - t^4.434*y | detail | |
2494 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{6}M_{7}$ | 0.7035 | 0.863 | 0.8151 | [M:[1.0353, 0.8942, 0.8942, 1.0353, 1.0, 0.9647, 1.0353], q:[0.5353, 0.4295], qb:[0.5705, 0.5353], phi:[0.4824]] | 2*t^2.683 + t^2.894 + t^3. + 2*t^3.106 + t^3.212 + t^4.024 + 2*t^4.341 + t^4.447 + 3*t^4.659 + 2*t^4.764 + t^4.87 + 3*t^5.365 + t^5.577 + 5*t^5.788 + t^5.894 - 3*t^6. - t^4.447/y - t^4.447*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 |
---|---|---|---|---|---|---|---|---|---|
934 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.7172 | 0.8839 | 0.8115 | [M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | t^2.401 + t^2.776 + 2*t^2.8 + t^2.825 + t^3. + t^3.399 + t^4.026 + t^4.201 + t^4.375 + t^4.4 + t^4.575 + t^4.625 + t^4.774 + t^4.799 + t^4.803 + t^4.999 + t^5.177 + 2*t^5.202 + t^5.223 + t^5.227 + t^5.551 + t^5.576 + 4*t^5.601 + t^5.626 + t^5.651 + 2*t^5.8 - 3*t^6. - t^4.4/y - t^4.4*y | detail |