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 |
---|---|---|---|---|---|---|---|---|---|
57565 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6878 | 0.8647 | 0.7954 | [M:[1.1688, 0.9732, 0.8312, 0.7746, 0.7884, 0.6753, 1.2254, 0.9167], q:[0.3873, 0.4439], qb:[0.6395, 0.7815], phi:[0.437]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [-2, 18], [4, -28], [-2, 16], [1, -15]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$ | ${}$ | -2 | t^2.026 + t^2.365 + t^2.493 + t^2.622 + t^2.75 + t^2.92 + t^3.507 + t^3.676 + t^3.804 + t^4.052 + t^4.263 + 2*t^4.391 + t^4.52 + t^4.561 + t^4.648 + t^4.73 + t^4.776 + t^4.859 + t^4.946 + 2*t^4.987 + 2*t^5.115 + t^5.148 + t^5.243 + t^5.285 + t^5.372 + t^5.5 + t^5.533 + t^5.541 + t^5.67 + t^5.702 + t^5.839 + t^5.872 - 2*t^6. + t^6.041 + t^6.078 + t^6.17 + t^6.256 + t^6.289 + t^6.298 + 2*t^6.417 + 2*t^6.426 + t^6.546 + t^6.596 + t^6.628 + t^6.674 + t^6.757 + t^6.802 + t^6.885 + t^6.926 + t^6.972 + 3*t^7.013 + t^7.096 + 2*t^7.141 + t^7.174 + t^7.183 + t^7.224 + t^7.27 + t^7.311 + 2*t^7.352 + t^7.398 + 3*t^7.48 + t^7.513 + t^7.526 + t^7.559 + t^7.567 + 2*t^7.609 + t^7.65 + t^7.696 + t^7.728 + 2*t^7.737 + t^7.77 + 3*t^7.865 + t^7.898 + t^7.907 + t^7.993 - 2*t^8.026 + t^8.035 + 2*t^8.067 + t^8.104 + t^8.122 + t^8.163 - t^8.196 + t^8.204 + t^8.237 + t^8.25 + t^8.283 + t^8.291 + t^8.315 - 3*t^8.365 + t^8.407 + t^8.42 + 2*t^8.443 + t^8.452 + t^8.461 - 2*t^8.493 + t^8.535 + t^8.572 - t^8.58 + t^8.589 - t^8.622 + 2*t^8.654 + t^8.663 + t^8.7 - 3*t^8.75 + t^8.759 + t^8.783 + 2*t^8.791 + t^8.824 + t^8.828 + t^8.911 - 2*t^8.92 + t^8.961 + t^8.994 + t^8.998 - t^4.311/y - t^6.337/y - t^6.676/y - t^6.933/y - t^7.061/y - t^7.23/y + (2*t^7.391)/y + t^7.52/y + t^7.561/y + t^7.648/y + t^7.689/y + t^7.776/y + t^7.859/y + (2*t^7.946)/y + t^7.987/y + (2*t^8.115)/y + t^8.243/y + (2*t^8.285)/y - t^8.363/y + t^8.372/y + t^8.413/y + t^8.533/y + t^8.541/y + t^8.67/y + t^8.83/y + t^8.872/y - t^8.959/y - t^4.311*y - t^6.337*y - t^6.676*y - t^6.933*y - t^7.061*y - t^7.23*y + 2*t^7.391*y + t^7.52*y + t^7.561*y + t^7.648*y + t^7.689*y + t^7.776*y + t^7.859*y + 2*t^7.946*y + t^7.987*y + 2*t^8.115*y + t^8.243*y + 2*t^8.285*y - t^8.363*y + t^8.372*y + t^8.413*y + t^8.533*y + t^8.541*y + t^8.67*y + t^8.83*y + t^8.872*y - t^8.959*y | (g1^4*t^2.026)/g2^28 + (g2^18*t^2.365)/g1^2 + (g2^7*t^2.493)/g1 + t^2.622/g2^4 + (g1*t^2.75)/g2^15 + (g2^8*t^2.92)/g1^2 + (g1*t^3.507)/g2^7 + (g2^16*t^3.676)/g1^2 + (g2^5*t^3.804)/g1 + (g1^8*t^4.052)/g2^56 + g1*g2*t^4.263 + (2*g1^2*t^4.391)/g2^10 + (g1^3*t^4.52)/g2^21 + (g2^13*t^4.561)/g1 + (g1^4*t^4.648)/g2^32 + (g2^36*t^4.73)/g1^4 + (g1^5*t^4.776)/g2^43 + (g2^25*t^4.859)/g1^3 + (g1^2*t^4.946)/g2^20 + (2*g2^14*t^4.987)/g1^2 + (2*g2^3*t^5.115)/g1 + (g1^2*t^5.148)/g2^2 + t^5.243/g2^8 + (g2^26*t^5.285)/g1^4 + (g1*t^5.372)/g2^19 + (g1^2*t^5.5)/g2^30 + (g1^5*t^5.533)/g2^35 + (g2^4*t^5.541)/g1^2 + t^5.67/(g1*g2^7) + (g1^2*t^5.702)/g2^12 + (g2^16*t^5.839)/g1^4 + (g2^11*t^5.872)/g1 - 2*t^6. + (g2^34*t^6.041)/g1^4 + (g1^12*t^6.078)/g2^84 + (g2^23*t^6.17)/g1^3 + (g1^2*t^6.256)/g2^22 + (g1^5*t^6.289)/g2^27 + (g2^12*t^6.298)/g1^2 + (2*g1^6*t^6.417)/g2^38 + (2*g2*t^6.426)/g1 + (g1^7*t^6.546)/g2^49 + (g2^24*t^6.596)/g1^4 + (g2^19*t^6.628)/g1 + (g1^8*t^6.674)/g2^60 + g2^8*t^6.757 + (g1^9*t^6.802)/g2^71 + (g1*t^6.885)/g2^3 + (g2^31*t^6.926)/g1^3 + (g1^6*t^6.972)/g2^48 + (3*g1^2*t^7.013)/g2^14 + (g2^54*t^7.096)/g1^6 + (2*g1^3*t^7.141)/g2^25 + (g1^6*t^7.174)/g2^30 + (g2^9*t^7.183)/g1 + (g2^43*t^7.224)/g1^5 + (g1^4*t^7.27)/g2^36 + t^7.311/g2^2 + (2*g2^32*t^7.352)/g1^4 + (g1^5*t^7.398)/g2^47 + (3*g2^21*t^7.48)/g1^3 + g2^16*t^7.513 + (g1^6*t^7.526)/g2^58 + (g1^9*t^7.559)/g2^63 + (g1^2*t^7.567)/g2^24 + (2*g2^10*t^7.609)/g1^2 + (g2^44*t^7.65)/g1^6 + (g1^3*t^7.696)/g2^35 + (g1^6*t^7.728)/g2^40 + (2*t^7.737)/(g1*g2) + (g1^2*t^7.77)/g2^6 + (3*t^7.865)/g2^12 + (g1^3*t^7.898)/g2^17 + (g2^22*t^7.907)/g1^4 + (g1*t^7.993)/g2^23 - (2*g1^4*t^8.026)/g2^28 + (g2^11*t^8.035)/g1^3 + 2*g2^6*t^8.067 + (g1^16*t^8.104)/g2^112 + (g1^2*t^8.122)/g2^34 + t^8.163/g1^2 - (g1*t^8.196)/g2^5 + (g2^34*t^8.204)/g1^6 + (g2^29*t^8.237)/g1^3 + (g1^3*t^8.25)/g2^45 + (g1^6*t^8.283)/g2^50 + t^8.291/(g1*g2^11) + (g1^9*t^8.315)/g2^55 - (3*g2^18*t^8.365)/g1^2 + (g2^52*t^8.407)/g1^6 + t^8.42/g2^22 + (2*g1^10*t^8.443)/g2^66 + (g1^3*t^8.452)/g2^27 + (g2^12*t^8.461)/g1^4 - (2*g2^7*t^8.493)/g1 + (g2^41*t^8.535)/g1^5 + (g1^11*t^8.572)/g2^77 - (g1^4*t^8.58)/g2^38 + (g2*t^8.589)/g1^3 - t^8.622/g2^4 + (2*g1^3*t^8.654)/g2^9 + (g2^30*t^8.663)/g1^4 + (g1^12*t^8.7)/g2^88 - (3*g1*t^8.75)/g2^15 + (g2^24*t^8.759)/g1^6 + (g1^4*t^8.783)/g2^20 + (2*g2^19*t^8.791)/g1^3 + g2^14*t^8.824 + (g1^13*t^8.828)/g2^99 + (g1^5*t^8.911)/g2^31 - (2*g2^8*t^8.92)/g1^2 + (g2^42*t^8.961)/g1^6 + (g2^37*t^8.994)/g1^3 + (g1^10*t^8.998)/g2^76 - t^4.311/(g2^2*y) - (g1^4*t^6.337)/(g2^30*y) - (g2^16*t^6.676)/(g1^2*y) - t^6.933/(g2^6*y) - (g1*t^7.061)/(g2^17*y) - (g2^6*t^7.23)/(g1^2*y) + (2*g1^2*t^7.391)/(g2^10*y) + (g1^3*t^7.52)/(g2^21*y) + (g2^13*t^7.561)/(g1*y) + (g1^4*t^7.648)/(g2^32*y) + (g2^2*t^7.689)/y + (g1^5*t^7.776)/(g2^43*y) + (g2^25*t^7.859)/(g1^3*y) + (2*g1^2*t^7.946)/(g2^20*y) + (g2^14*t^7.987)/(g1^2*y) + (2*g2^3*t^8.115)/(g1*y) + t^8.243/(g2^8*y) + (2*g2^26*t^8.285)/(g1^4*y) - (g1^8*t^8.363)/(g2^58*y) + (g1*t^8.372)/(g2^19*y) + (g2^15*t^8.413)/(g1^3*y) + (g1^5*t^8.533)/(g2^35*y) + (g2^4*t^8.541)/(g1^2*y) + t^8.67/(g1*g2^7*y) + (g1^3*t^8.83)/(g2^23*y) + (g2^11*t^8.872)/(g1*y) - (g1^4*t^8.959)/(g2^34*y) - (t^4.311*y)/g2^2 - (g1^4*t^6.337*y)/g2^30 - (g2^16*t^6.676*y)/g1^2 - (t^6.933*y)/g2^6 - (g1*t^7.061*y)/g2^17 - (g2^6*t^7.23*y)/g1^2 + (2*g1^2*t^7.391*y)/g2^10 + (g1^3*t^7.52*y)/g2^21 + (g2^13*t^7.561*y)/g1 + (g1^4*t^7.648*y)/g2^32 + g2^2*t^7.689*y + (g1^5*t^7.776*y)/g2^43 + (g2^25*t^7.859*y)/g1^3 + (2*g1^2*t^7.946*y)/g2^20 + (g2^14*t^7.987*y)/g1^2 + (2*g2^3*t^8.115*y)/g1 + (t^8.243*y)/g2^8 + (2*g2^26*t^8.285*y)/g1^4 - (g1^8*t^8.363*y)/g2^58 + (g1*t^8.372*y)/g2^19 + (g2^15*t^8.413*y)/g1^3 + (g1^5*t^8.533*y)/g2^35 + (g2^4*t^8.541*y)/g1^2 + (t^8.67*y)/(g1*g2^7) + (g1^3*t^8.83*y)/g2^23 + (g2^11*t^8.872*y)/g1 - (g1^4*t^8.959*y)/g2^34 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
55913 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.6832 | 0.859 | 0.7953 | [M:[1.1731, 1.0135, 0.8269, 0.7994, 0.7473, 0.6924, 1.2006], q:[0.3997, 0.4272], qb:[0.5868, 0.7734], phi:[0.4532]] | t^2.077 + t^2.242 + t^2.481 + t^2.719 + t^3.04 + t^3.042 + t^3.519 + t^3.602 + t^3.84 + t^4.081 + t^4.155 + 2*t^4.319 + t^4.402 + t^4.484 + t^4.558 + t^4.723 + t^4.797 + t^4.881 + 2*t^4.961 + t^5.118 + t^5.119 + t^5.2 + t^5.282 + t^5.284 + t^5.523 + t^5.597 + t^5.679 + t^5.76 + 2*t^5.761 + t^5.844 - 2*t^6. - t^4.36/y - t^4.36*y | detail |