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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3436 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.5526 | 0.6903 | 0.8005 | [X:[1.2221], M:[1.074, 0.7779, 0.926, 0.7039, 1.074, 1.0, 1.148], q:[0.602, 0.9721], qb:[0.324, 0.398], phi:[0.426]] | [X:[[3]], M:[[1], [-3], [-1], [-4], [1], [0], [2]], q:[[-2], [3]], qb:[[1], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}X_{1}$ | ${}$ | -2 | t^2.112 + t^2.166 + t^3. + 2*t^3.222 + 2*t^3.444 + t^3.666 + t^4.11 + t^4.224 + t^4.278 + t^4.332 + t^4.722 + t^5.112 + t^5.166 + t^5.334 + 2*t^5.388 + t^5.556 + 2*t^5.61 + t^5.832 - 2*t^6. + t^6.222 + t^6.276 + t^6.335 + t^6.39 + 4*t^6.444 + t^6.499 - t^6.612 + 3*t^6.666 + 3*t^6.888 - t^7.056 + 2*t^7.11 + t^7.224 - t^7.278 + 3*t^7.332 + t^7.446 - t^7.5 + 3*t^7.554 + t^7.668 + 3*t^7.776 + t^7.999 - 2*t^8.112 - 2*t^8.166 + t^8.221 + t^8.388 + t^8.443 + t^8.447 + t^8.501 + 2*t^8.556 + 3*t^8.61 + t^8.665 - t^8.724 - t^8.778 + 3*t^8.832 - t^4.278/y - t^6.39/y + t^7.056/y + t^7.278/y - t^7.5/y + t^8.112/y + (2*t^8.166)/y + (2*t^8.334)/y + (2*t^8.388)/y - t^8.501/y + (2*t^8.556)/y + (2*t^8.61)/y + t^8.778/y + t^8.832/y - t^4.278*y - t^6.39*y + t^7.056*y + t^7.278*y - t^7.5*y + t^8.112*y + 2*t^8.166*y + 2*t^8.334*y + 2*t^8.388*y - t^8.501*y + 2*t^8.556*y + 2*t^8.61*y + t^8.778*y + t^8.832*y | t^2.112/g1^4 + g1^3*t^2.166 + t^3. + 2*g1*t^3.222 + 2*g1^2*t^3.444 + g1^3*t^3.666 + g1^5*t^4.11 + t^4.224/g1^8 + t^4.278/g1 + g1^6*t^4.332 + g1*t^4.722 + t^5.112/g1^4 + g1^3*t^5.166 + t^5.334/g1^3 + 2*g1^4*t^5.388 + t^5.556/g1^2 + 2*g1^5*t^5.61 + g1^6*t^5.832 - 2*t^6. + g1*t^6.222 + g1^8*t^6.276 + t^6.335/g1^12 + t^6.39/g1^5 + 4*g1^2*t^6.444 + g1^9*t^6.499 - t^6.612/g1^4 + 3*g1^3*t^6.666 + 3*g1^4*t^6.888 - t^7.056/g1^2 + 2*g1^5*t^7.11 + t^7.224/g1^8 - t^7.278/g1 + 3*g1^6*t^7.332 + t^7.446/g1^7 - t^7.5 + 3*g1^7*t^7.554 + t^7.668/g1^6 + 3*g1^8*t^7.776 + g1^9*t^7.999 - (2*t^8.112)/g1^4 - 2*g1^3*t^8.166 + g1^10*t^8.221 + g1^4*t^8.388 + g1^11*t^8.443 + t^8.447/g1^16 + t^8.501/g1^9 + (2*t^8.556)/g1^2 + 3*g1^5*t^8.61 + g1^12*t^8.665 - t^8.724/g1^8 - t^8.778/g1 + 3*g1^6*t^8.832 - t^4.278/(g1*y) - t^6.39/(g1^5*y) + t^7.056/(g1^2*y) + t^7.278/(g1*y) - t^7.5/y + t^8.112/(g1^4*y) + (2*g1^3*t^8.166)/y + (2*t^8.334)/(g1^3*y) + (2*g1^4*t^8.388)/y - t^8.501/(g1^9*y) + (2*t^8.556)/(g1^2*y) + (2*g1^5*t^8.61)/y + t^8.778/(g1*y) + (g1^6*t^8.832)/y - (t^4.278*y)/g1 - (t^6.39*y)/g1^5 + (t^7.056*y)/g1^2 + (t^7.278*y)/g1 - t^7.5*y + (t^8.112*y)/g1^4 + 2*g1^3*t^8.166*y + (2*t^8.334*y)/g1^3 + 2*g1^4*t^8.388*y - (t^8.501*y)/g1^9 + (2*t^8.556*y)/g1^2 + 2*g1^5*t^8.61*y + (t^8.778*y)/g1 + g1^6*t^8.832*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 |
---|---|---|---|---|---|---|---|---|
5115 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}X_{1}$ | 0.5707 | 0.722 | 0.7905 | [X:[1.2378], M:[1.0793, 0.7622, 0.9207, 0.683, 1.0793, 1.0, 1.1585, 0.7622], q:[0.5915, 0.9878], qb:[0.3293, 0.4085], phi:[0.4207]] | t^2.049 + t^2.213 + t^2.287 + t^3. + 2*t^3.238 + 2*t^3.476 + t^4.098 + t^4.189 + t^4.262 + t^4.336 + t^4.427 + t^4.5 + t^4.573 + t^4.738 + t^5.049 + t^5.213 + 2*t^5.287 + 2*t^5.451 + 3*t^5.524 + 2*t^5.689 + t^5.762 - 2*t^6. - t^4.262/y - t^4.262*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 |
---|---|---|---|---|---|---|---|---|---|
2872 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ | 0.566 | 0.7123 | 0.7946 | [X:[1.2385], M:[1.0795, 0.7615, 0.9205, 0.682, 1.0795, 1.0], q:[0.591, 0.9885], qb:[0.3295, 0.409], phi:[0.4205]] | t^2.046 + t^2.216 + t^2.523 + t^3. + 2*t^3.239 + t^3.477 + t^3.716 + t^4.092 + t^4.193 + t^4.261 + t^4.431 + t^4.569 + 2*t^4.739 + 2*t^5.046 + t^5.216 + t^5.284 + 2*t^5.454 + t^5.523 + t^5.693 + 2*t^5.761 + t^5.931 - t^6. - t^4.261/y - t^4.261*y | detail |