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 |
---|---|---|---|---|---|---|---|---|---|
56152 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6453 | 0.8481 | 0.761 | [M:[1.0259, 0.9482, 1.0, 1.0259, 0.7306, 0.7565, 0.7047], q:[0.5129, 0.5388], qb:[0.7565, 0.2435], phi:[0.4871]] | [M:[[-4], [8], [0], [-4], [3], [-1], [7]], q:[[-2], [-6]], qb:[[-1], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.114 + t^2.192 + 2*t^2.269 + t^2.347 + t^2.845 + t^3. + 2*t^3.078 + t^3.808 + t^4.228 + t^4.306 + 3*t^4.383 + 3*t^4.461 + 5*t^4.539 + 3*t^4.617 + 2*t^4.694 + t^4.959 + t^5.036 + 2*t^5.114 + 3*t^5.192 + 4*t^5.269 + 5*t^5.347 + 2*t^5.425 + t^5.689 + t^5.845 + t^5.922 - 2*t^6. + 2*t^6.078 + 3*t^6.155 + t^6.342 + t^6.42 + 3*t^6.497 + 3*t^6.575 + 6*t^6.653 + 5*t^6.731 + 8*t^6.808 + 7*t^6.886 + 4*t^6.964 + 2*t^7.041 + t^7.073 + t^7.15 + 3*t^7.228 + 4*t^7.306 + 6*t^7.383 + 6*t^7.461 + 7*t^7.539 + 10*t^7.617 + 6*t^7.694 + 3*t^7.772 + t^7.803 + t^7.881 + 2*t^7.959 + 2*t^8.036 - t^8.114 - 2*t^8.192 - 4*t^8.269 + t^8.347 + 4*t^8.425 + t^8.456 + 3*t^8.503 + 2*t^8.534 + 3*t^8.612 + 4*t^8.689 + 7*t^8.767 + 3*t^8.845 + 8*t^8.922 - t^4.461/y - t^6.575/y - t^6.653/y - t^6.731/y + (3*t^7.383)/y + (3*t^7.461)/y + t^7.539/y + (3*t^7.617)/y + t^7.959/y + t^8.036/y + (3*t^8.114)/y + (5*t^8.192)/y + (5*t^8.269)/y + (6*t^8.347)/y + (2*t^8.425)/y - t^8.689/y - t^8.767/y - t^8.845/y + (2*t^8.922)/y - t^4.461*y - t^6.575*y - t^6.653*y - t^6.731*y + 3*t^7.383*y + 3*t^7.461*y + t^7.539*y + 3*t^7.617*y + t^7.959*y + t^8.036*y + 3*t^8.114*y + 5*t^8.192*y + 5*t^8.269*y + 6*t^8.347*y + 2*t^8.425*y - t^8.689*y - t^8.767*y - t^8.845*y + 2*t^8.922*y | g1^7*t^2.114 + g1^3*t^2.192 + (2*t^2.269)/g1 + t^2.347/g1^5 + g1^8*t^2.845 + t^3. + (2*t^3.078)/g1^4 + t^3.808/g1^3 + g1^14*t^4.228 + g1^10*t^4.306 + 3*g1^6*t^4.383 + 3*g1^2*t^4.461 + (5*t^4.539)/g1^2 + (3*t^4.617)/g1^6 + (2*t^4.694)/g1^10 + g1^15*t^4.959 + g1^11*t^5.036 + 2*g1^7*t^5.114 + 3*g1^3*t^5.192 + (4*t^5.269)/g1 + (5*t^5.347)/g1^5 + (2*t^5.425)/g1^9 + g1^16*t^5.689 + g1^8*t^5.845 + g1^4*t^5.922 - 2*t^6. + (2*t^6.078)/g1^4 + (3*t^6.155)/g1^8 + g1^21*t^6.342 + g1^17*t^6.42 + 3*g1^13*t^6.497 + 3*g1^9*t^6.575 + 6*g1^5*t^6.653 + 5*g1*t^6.731 + (8*t^6.808)/g1^3 + (7*t^6.886)/g1^7 + (4*t^6.964)/g1^11 + (2*t^7.041)/g1^15 + g1^22*t^7.073 + g1^18*t^7.15 + 3*g1^14*t^7.228 + 4*g1^10*t^7.306 + 6*g1^6*t^7.383 + 6*g1^2*t^7.461 + (7*t^7.539)/g1^2 + (10*t^7.617)/g1^6 + (6*t^7.694)/g1^10 + (3*t^7.772)/g1^14 + g1^23*t^7.803 + g1^19*t^7.881 + 2*g1^15*t^7.959 + 2*g1^11*t^8.036 - g1^7*t^8.114 - 2*g1^3*t^8.192 - (4*t^8.269)/g1 + t^8.347/g1^5 + (4*t^8.425)/g1^9 + g1^28*t^8.456 + (3*t^8.503)/g1^13 + 2*g1^24*t^8.534 + 3*g1^20*t^8.612 + 4*g1^16*t^8.689 + 7*g1^12*t^8.767 + 3*g1^8*t^8.845 + 8*g1^4*t^8.922 - (g1^2*t^4.461)/y - (g1^9*t^6.575)/y - (g1^5*t^6.653)/y - (g1*t^6.731)/y + (3*g1^6*t^7.383)/y + (3*g1^2*t^7.461)/y + t^7.539/(g1^2*y) + (3*t^7.617)/(g1^6*y) + (g1^15*t^7.959)/y + (g1^11*t^8.036)/y + (3*g1^7*t^8.114)/y + (5*g1^3*t^8.192)/y + (5*t^8.269)/(g1*y) + (6*t^8.347)/(g1^5*y) + (2*t^8.425)/(g1^9*y) - (g1^16*t^8.689)/y - (g1^12*t^8.767)/y - (g1^8*t^8.845)/y + (2*g1^4*t^8.922)/y - g1^2*t^4.461*y - g1^9*t^6.575*y - g1^5*t^6.653*y - g1*t^6.731*y + 3*g1^6*t^7.383*y + 3*g1^2*t^7.461*y + (t^7.539*y)/g1^2 + (3*t^7.617*y)/g1^6 + g1^15*t^7.959*y + g1^11*t^8.036*y + 3*g1^7*t^8.114*y + 5*g1^3*t^8.192*y + (5*t^8.269*y)/g1 + (6*t^8.347*y)/g1^5 + (2*t^8.425*y)/g1^9 - g1^16*t^8.689*y - g1^12*t^8.767*y - g1^8*t^8.845*y + 2*g1^4*t^8.922*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 |
---|---|---|---|---|---|---|---|---|
58321 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ | 0.6256 | 0.8117 | 0.7707 | [M:[1.0222, 0.9556, 1.0, 1.0222, 0.7334, 0.7555, 0.7112, 1.2666], q:[0.5111, 0.5333], qb:[0.7555, 0.2445], phi:[0.4889]] | t^2.134 + 2*t^2.267 + t^2.333 + t^2.867 + t^3. + 2*t^3.067 + 2*t^3.8 + t^4.267 + 2*t^4.4 + t^4.467 + 4*t^4.533 + 3*t^4.6 + 2*t^4.666 + t^5. + 2*t^5.134 + 2*t^5.2 + 2*t^5.267 + 5*t^5.333 + 2*t^5.4 + t^5.734 + t^5.867 + 2*t^5.933 - 3*t^6. - t^4.467/y - t^4.467*y | detail | |
58322 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6651 | 0.8848 | 0.7517 | [M:[1.0293, 0.9413, 1.0, 1.0293, 0.728, 0.7573, 0.6987, 0.728], q:[0.5147, 0.544], qb:[0.7573, 0.2427], phi:[0.4853]] | t^2.096 + 2*t^2.184 + 2*t^2.272 + t^2.36 + t^2.824 + t^3. + 2*t^3.088 + t^4.192 + 2*t^4.28 + 5*t^4.368 + 5*t^4.456 + 6*t^4.544 + 3*t^4.632 + 2*t^4.72 + t^4.92 + 2*t^5.008 + 2*t^5.096 + 4*t^5.184 + 6*t^5.272 + 5*t^5.36 + 2*t^5.448 + t^5.648 + t^5.824 - 3*t^6. - t^4.456/y - t^4.456*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 |
---|---|---|---|---|---|---|---|---|---|
50843 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.625 | 0.8101 | 0.7715 | [M:[1.0193, 0.9615, 1.0, 1.0193, 0.7356, 0.7548], q:[0.5096, 0.5289], qb:[0.7548, 0.2452], phi:[0.4904]] | t^2.207 + 2*t^2.264 + t^2.322 + t^2.884 + t^3. + 2*t^3.058 + t^3.793 + t^3.851 + t^4.413 + 2*t^4.471 + 5*t^4.529 + 3*t^4.587 + 2*t^4.644 + t^5.091 + t^5.149 + t^5.207 + 4*t^5.264 + 5*t^5.322 + 2*t^5.38 + t^5.769 + t^5.884 - 2*t^6. - t^4.471/y - t^4.471*y | detail |