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 |
---|---|---|---|---|---|---|---|---|---|
55138 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6828 | 0.8512 | 0.8021 | [M:[1.1526, 1.0, 0.8474, 0.7403, 0.893, 0.8474], q:[0.3702, 0.4772], qb:[0.6298, 0.7825], phi:[0.4351]] | [M:[[-3], [0], [3], [-8], [-11], [3]], q:[[-4], [7]], qb:[[4], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.221 + 2*t^2.542 + t^2.611 + t^2.679 + t^3. + t^3.526 + t^3.847 + t^4.168 + t^4.237 + t^4.305 + t^4.442 + t^4.626 + 2*t^4.763 + t^4.832 + t^4.9 + 4*t^5.084 + 2*t^5.153 + 3*t^5.221 + t^5.289 + t^5.358 + t^5.542 + t^5.611 + t^5.747 - 2*t^6. + 2*t^6.068 + t^6.137 + t^6.205 - t^6.321 + 2*t^6.389 + 2*t^6.526 + t^6.663 + 2*t^6.711 + t^6.779 + 3*t^6.847 + 2*t^6.984 + 2*t^7.053 + t^7.121 + 2*t^7.168 + 3*t^7.305 + 3*t^7.374 + 3*t^7.442 + t^7.51 - t^7.558 + t^7.579 + 4*t^7.626 + 4*t^7.695 + 4*t^7.763 + 4*t^7.832 + 2*t^7.9 + 2*t^7.968 + t^8.037 + t^8.153 - 2*t^8.221 + 2*t^8.289 + t^8.337 + t^8.358 + t^8.426 - 6*t^8.542 + 2*t^8.611 - t^8.679 + 3*t^8.747 + t^8.795 + t^8.816 - 2*t^8.863 + 2*t^8.884 + 2*t^8.932 - t^4.305/y - t^6.526/y - t^6.847/y - t^6.916/y - t^6.984/y + t^7.626/y + t^7.695/y + (3*t^7.763)/y + t^7.832/y + t^7.9/y + (2*t^8.084)/y + (2*t^8.153)/y + (3*t^8.221)/y + t^8.289/y + (2*t^8.542)/y + t^8.611/y + t^8.679/y - t^4.305*y - t^6.526*y - t^6.847*y - t^6.916*y - t^6.984*y + t^7.626*y + t^7.695*y + 3*t^7.763*y + t^7.832*y + t^7.9*y + 2*t^8.084*y + 2*t^8.153*y + 3*t^8.221*y + t^8.289*y + 2*t^8.542*y + t^8.611*y + t^8.679*y | t^2.221/g1^8 + 2*g1^3*t^2.542 + t^2.611/g1^4 + t^2.679/g1^11 + t^3. + t^3.526/g1^10 + g1*t^3.847 + g1^12*t^4.168 + g1^5*t^4.237 + t^4.305/g1^2 + t^4.442/g1^16 + g1^9*t^4.626 + (2*t^4.763)/g1^5 + t^4.832/g1^12 + t^4.9/g1^19 + 4*g1^6*t^5.084 + (2*t^5.153)/g1 + (3*t^5.221)/g1^8 + t^5.289/g1^15 + t^5.358/g1^22 + g1^3*t^5.542 + t^5.611/g1^4 + t^5.747/g1^18 - 2*t^6. + (2*t^6.068)/g1^7 + t^6.137/g1^14 + t^6.205/g1^21 - g1^11*t^6.321 + 2*g1^4*t^6.389 + (2*t^6.526)/g1^10 + t^6.663/g1^24 + 2*g1^15*t^6.711 + g1^8*t^6.779 + 3*g1*t^6.847 + (2*t^6.984)/g1^13 + (2*t^7.053)/g1^20 + t^7.121/g1^27 + 2*g1^12*t^7.168 + (3*t^7.305)/g1^2 + (3*t^7.374)/g1^9 + (3*t^7.442)/g1^16 + t^7.51/g1^23 - g1^16*t^7.558 + t^7.579/g1^30 + 4*g1^9*t^7.626 + 4*g1^2*t^7.695 + (4*t^7.763)/g1^5 + (4*t^7.832)/g1^12 + (2*t^7.9)/g1^19 + (2*t^7.968)/g1^26 + t^8.037/g1^33 + t^8.153/g1 - (2*t^8.221)/g1^8 + (2*t^8.289)/g1^15 + g1^24*t^8.337 + t^8.358/g1^22 + t^8.426/g1^29 - 6*g1^3*t^8.542 + (2*t^8.611)/g1^4 - t^8.679/g1^11 + (3*t^8.747)/g1^18 + g1^21*t^8.795 + t^8.816/g1^25 - 2*g1^14*t^8.863 + (2*t^8.884)/g1^32 + 2*g1^7*t^8.932 - t^4.305/(g1^2*y) - t^6.526/(g1^10*y) - (g1*t^6.847)/y - t^6.916/(g1^6*y) - t^6.984/(g1^13*y) + (g1^9*t^7.626)/y + (g1^2*t^7.695)/y + (3*t^7.763)/(g1^5*y) + t^7.832/(g1^12*y) + t^7.9/(g1^19*y) + (2*g1^6*t^8.084)/y + (2*t^8.153)/(g1*y) + (3*t^8.221)/(g1^8*y) + t^8.289/(g1^15*y) + (2*g1^3*t^8.542)/y + t^8.611/(g1^4*y) + t^8.679/(g1^11*y) - (t^4.305*y)/g1^2 - (t^6.526*y)/g1^10 - g1*t^6.847*y - (t^6.916*y)/g1^6 - (t^6.984*y)/g1^13 + g1^9*t^7.626*y + g1^2*t^7.695*y + (3*t^7.763*y)/g1^5 + (t^7.832*y)/g1^12 + (t^7.9*y)/g1^19 + 2*g1^6*t^8.084*y + (2*t^8.153*y)/g1 + (3*t^8.221*y)/g1^8 + (t^8.289*y)/g1^15 + 2*g1^3*t^8.542*y + (t^8.611*y)/g1^4 + (t^8.679*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
56856 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6987 | 0.8788 | 0.795 | [M:[1.1613, 1.0, 0.8387, 0.7635, 0.9248, 0.8387, 0.7956], q:[0.3818, 0.4569], qb:[0.6182, 0.7796], phi:[0.4409]] | t^2.291 + t^2.387 + 2*t^2.516 + t^2.645 + t^2.774 + t^3. + t^3.839 + t^4.064 + t^4.193 + t^4.323 + t^4.548 + t^4.581 + t^4.677 + t^4.774 + 2*t^4.807 + 2*t^4.903 + t^4.936 + 5*t^5.032 + t^5.065 + 3*t^5.161 + 3*t^5.291 + t^5.387 + t^5.42 + t^5.516 + t^5.549 + t^5.645 - 2*t^6. - t^4.323/y - t^4.323*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 |
---|---|---|---|---|---|---|---|---|---|
46830 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6696 | 0.8291 | 0.8076 | [M:[1.1494, 1.0, 0.8506, 0.7316, 0.881], q:[0.3658, 0.4848], qb:[0.6342, 0.7835], phi:[0.4329]] | t^2.195 + t^2.552 + t^2.597 + t^2.643 + t^3. + t^3.448 + t^3.494 + t^3.851 + t^4.208 + t^4.253 + t^4.299 + t^4.39 + t^4.656 + t^4.747 + t^4.792 + t^4.838 + 2*t^5.104 + t^5.149 + 2*t^5.195 + t^5.24 + t^5.286 + t^5.597 + t^5.643 + t^5.688 - t^6. - t^4.299/y - t^4.299*y | detail |