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 |
---|---|---|---|---|---|---|---|---|---|
50757 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ | 0.6332 | 0.7848 | 0.8069 | [M:[1.1817, 0.7266, 0.8183, 0.8489, 0.8183, 1.1511], q:[0.4245, 0.3939], qb:[0.8489, 0.7572], phi:[0.3939]] | [M:[[3], [12], [-3], [-8], [-3], [8]], q:[[-4], [1]], qb:[[-8], [7]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.18 + t^2.363 + 2*t^2.455 + t^3.453 + t^3.545 + t^3.637 + 2*t^3.728 + t^4.36 + t^4.543 + 2*t^4.635 + t^4.727 + 3*t^4.818 + 3*t^4.91 + t^5.633 + t^5.725 + t^5.817 + 3*t^5.908 + 2*t^6.092 + 3*t^6.183 + t^6.54 + t^6.723 + 2*t^6.815 + 2*t^6.907 + 3*t^6.998 + 3*t^7.09 + 2*t^7.182 + 3*t^7.273 + 3*t^7.365 + 2*t^7.457 + t^7.813 + t^7.905 + t^7.997 + 3*t^8.088 + t^8.272 + 2*t^8.363 - 2*t^8.455 + 2*t^8.547 + 3*t^8.638 + t^8.72 + t^8.903 + 2*t^8.995 - t^4.182/y - t^6.362/y - t^6.545/y - t^6.637/y + t^7.543/y + (2*t^7.635)/y + t^7.727/y + (3*t^7.818)/y + t^7.91/y + t^8.002/y - t^8.542/y + t^8.633/y + t^8.817/y + (4*t^8.908)/y - t^4.182*y - t^6.362*y - t^6.545*y - t^6.637*y + t^7.543*y + 2*t^7.635*y + t^7.727*y + 3*t^7.818*y + t^7.91*y + t^8.002*y - t^8.542*y + t^8.633*y + t^8.817*y + 4*t^8.908*y | g1^12*t^2.18 + g1^2*t^2.363 + (2*t^2.455)/g1^3 + g1^8*t^3.453 + g1^3*t^3.545 + t^3.637/g1^2 + (2*t^3.728)/g1^7 + g1^24*t^4.36 + g1^14*t^4.543 + 2*g1^9*t^4.635 + g1^4*t^4.727 + (3*t^4.818)/g1 + (3*t^4.91)/g1^6 + g1^20*t^5.633 + g1^15*t^5.725 + g1^10*t^5.817 + 3*g1^5*t^5.908 + (2*t^6.092)/g1^5 + (3*t^6.183)/g1^10 + g1^36*t^6.54 + g1^26*t^6.723 + 2*g1^21*t^6.815 + 2*g1^16*t^6.907 + 3*g1^11*t^6.998 + 3*g1^6*t^7.09 + 2*g1*t^7.182 + (3*t^7.273)/g1^4 + (3*t^7.365)/g1^9 + (2*t^7.457)/g1^14 + g1^32*t^7.813 + g1^27*t^7.905 + g1^22*t^7.997 + 3*g1^17*t^8.088 + g1^7*t^8.272 + 2*g1^2*t^8.363 - (2*t^8.455)/g1^3 + (2*t^8.547)/g1^8 + (3*t^8.638)/g1^13 + g1^48*t^8.72 + g1^38*t^8.903 + 2*g1^33*t^8.995 - (g1*t^4.182)/y - (g1^13*t^6.362)/y - (g1^3*t^6.545)/y - t^6.637/(g1^2*y) + (g1^14*t^7.543)/y + (2*g1^9*t^7.635)/y + (g1^4*t^7.727)/y + (3*t^7.818)/(g1*y) + t^7.91/(g1^6*y) + t^8.002/(g1^11*y) - (g1^25*t^8.542)/y + (g1^20*t^8.633)/y + (g1^10*t^8.817)/y + (4*g1^5*t^8.908)/y - g1*t^4.182*y - g1^13*t^6.362*y - g1^3*t^6.545*y - (t^6.637*y)/g1^2 + g1^14*t^7.543*y + 2*g1^9*t^7.635*y + g1^4*t^7.727*y + (3*t^7.818*y)/g1 + (t^7.91*y)/g1^6 + (t^8.002*y)/g1^11 - g1^25*t^8.542*y + g1^20*t^8.633*y + g1^10*t^8.817*y + 4*g1^5*t^8.908*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 |
---|---|---|---|---|---|---|---|---|
56042 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ | 0.6487 | 0.8115 | 0.7994 | [M:[1.185, 0.7398, 0.815, 0.8401, 0.815, 1.1599, 0.815], q:[0.4201, 0.395], qb:[0.8401, 0.7649], phi:[0.395]] | t^2.22 + t^2.37 + 3*t^2.445 + t^3.48 + t^3.63 + 2*t^3.705 + t^4.439 + t^4.589 + 3*t^4.665 + t^4.74 + 4*t^4.815 + 6*t^4.89 + t^5.699 + t^5.85 + 3*t^5.925 - 2*t^6. - t^4.185/y - t^4.185*y | detail | |
56043 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6505 | 0.8155 | 0.7976 | [M:[1.1798, 0.7192, 0.8202, 0.8539, 0.8202, 1.1461, 0.7865], q:[0.4269, 0.3933], qb:[0.8539, 0.7529], phi:[0.3933]] | t^2.158 + 2*t^2.36 + 2*t^2.461 + t^3.438 + t^3.539 + 2*t^3.741 + t^4.315 + 2*t^4.517 + 2*t^4.618 + 3*t^4.719 + 5*t^4.82 + 3*t^4.921 + t^5.596 + t^5.697 + t^5.798 + 4*t^5.899 - t^6. - t^4.18/y - t^4.18*y | detail | |
56041 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6161 | 0.7543 | 0.8168 | [M:[1.1836, 0.7342, 0.8164, 0.8438, 0.8164, 1.1562, 1.211], q:[0.4219, 0.3945], qb:[0.8438, 0.7616], phi:[0.3945]] | t^2.203 + 2*t^2.449 + t^3.468 + t^3.551 + 2*t^3.633 + 2*t^3.715 + t^4.405 + 2*t^4.652 + t^4.816 + 3*t^4.899 + t^5.671 + t^5.753 + t^5.836 + 2*t^5.918 - t^6. - t^4.184/y - t^4.184*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 |
---|---|---|---|---|---|---|---|---|---|
47249 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ | 0.6406 | 0.7956 | 0.8052 | [M:[1.14, 0.7099, 0.86, 0.81, 0.7099, 1.19], q:[0.405, 0.455], qb:[0.8851, 0.735], phi:[0.38]] | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail |