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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1260 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6689 | 0.8348 | 0.8013 | [M:[0.6952, 0.6952, 0.7054, 0.702, 1.3048, 0.6952, 1.2946], q:[0.8304, 0.8203], qb:[0.4744, 0.4777], phi:[0.3493]] | [M:[[1, -5], [1, -5], [-8, 4], [-5, 1], [-1, 5], [1, -5], [8, -4]], q:[[-4, 5], [5, -4]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.086 + t^2.096 + t^2.106 + t^2.856 + t^3.884 + t^3.894 + t^3.904 + t^3.924 + 3*t^4.171 + 2*t^4.182 + 3*t^4.192 + t^4.202 + t^4.212 + 2*t^4.942 + 2*t^4.952 + t^4.962 + t^5.713 + 2*t^5.97 + 2*t^5.98 + 2*t^5.99 - t^6. + t^6.01 + t^6.03 + 4*t^6.257 + 3*t^6.267 + 5*t^6.277 + 3*t^6.287 + 3*t^6.298 + t^6.308 + t^6.318 + t^6.74 + t^6.75 + t^6.76 + t^6.781 + 2*t^7.028 + 2*t^7.038 + 2*t^7.048 + t^7.768 + t^7.778 + t^7.788 + t^7.798 + t^7.808 + t^7.849 + 3*t^8.055 + 3*t^8.065 + 3*t^8.076 - 3*t^8.086 - 3*t^8.106 + t^8.116 + t^8.136 + 5*t^8.343 + 4*t^8.353 + 7*t^8.363 + 5*t^8.373 + 6*t^8.383 + 3*t^8.393 + 3*t^8.404 + t^8.414 + t^8.424 + t^8.569 + 2*t^8.826 + 2*t^8.836 + t^8.846 - 2*t^8.856 - t^8.866 + t^8.887 - t^4.048/y - (2*t^6.134)/y - t^6.144/y - t^6.154/y + t^7.171/y + (2*t^7.182)/y + (2*t^7.192)/y + t^7.202/y + (3*t^7.942)/y + (2*t^7.952)/y + (3*t^7.962)/y - (3*t^8.219)/y - (2*t^8.229)/y - (3*t^8.24)/y - t^8.25/y - t^8.26/y + (2*t^8.97)/y + (3*t^8.98)/y + (4*t^8.99)/y - t^4.048*y - 2*t^6.134*y - t^6.144*y - t^6.154*y + t^7.171*y + 2*t^7.182*y + 2*t^7.192*y + t^7.202*y + 3*t^7.942*y + 2*t^7.952*y + 3*t^7.962*y - 3*t^8.219*y - 2*t^8.229*y - 3*t^8.24*y - t^8.25*y - t^8.26*y + 2*t^8.97*y + 3*t^8.98*y + 4*t^8.99*y | (2*g1*t^2.086)/g2^5 + t^2.096/(g1^2*g2^2) + (g2*t^2.106)/g1^5 + g1^3*g2^3*t^2.856 + (g1^8*t^3.884)/g2^4 + (g1^5*t^3.894)/g2 + g1^2*g2^2*t^3.904 + (g2^8*t^3.924)/g1^4 + (3*g1^2*t^4.171)/g2^10 + (2*t^4.182)/(g1*g2^7) + (3*t^4.192)/(g1^4*g2^4) + t^4.202/(g1^7*g2) + (g2^2*t^4.212)/g1^10 + (2*g1^4*t^4.942)/g2^2 + 2*g1*g2*t^4.952 + (g2^4*t^4.962)/g1^2 + g1^6*g2^6*t^5.713 + (2*g1^9*t^5.97)/g2^9 + (2*g1^6*t^5.98)/g2^6 + (2*g1^3*t^5.99)/g2^3 - t^6. + (g2^3*t^6.01)/g1^3 + (g2^9*t^6.03)/g1^9 + (4*g1^3*t^6.257)/g2^15 + (3*t^6.267)/g2^12 + (5*t^6.277)/(g1^3*g2^9) + (3*t^6.287)/(g1^6*g2^6) + (3*t^6.298)/(g1^9*g2^3) + t^6.308/g1^12 + (g2^3*t^6.318)/g1^15 + (g1^11*t^6.74)/g2 + g1^8*g2^2*t^6.75 + g1^5*g2^5*t^6.76 + (g2^11*t^6.781)/g1 + (2*g1^5*t^7.028)/g2^7 + (2*g1^2*t^7.038)/g2^4 + (2*t^7.048)/(g1*g2) + (g1^16*t^7.768)/g2^8 + (g1^13*t^7.778)/g2^5 + (g1^10*t^7.788)/g2^2 + g1^7*g2*t^7.798 + g1^4*g2^4*t^7.808 + (g2^16*t^7.849)/g1^8 + (3*g1^10*t^8.055)/g2^14 + (3*g1^7*t^8.065)/g2^11 + (3*g1^4*t^8.076)/g2^8 - (3*g1*t^8.086)/g2^5 - (3*g2*t^8.106)/g1^5 + (g2^4*t^8.116)/g1^8 + (g2^10*t^8.136)/g1^14 + (5*g1^4*t^8.343)/g2^20 + (4*g1*t^8.353)/g2^17 + (7*t^8.363)/(g1^2*g2^14) + (5*t^8.373)/(g1^5*g2^11) + (6*t^8.383)/(g1^8*g2^8) + (3*t^8.393)/(g1^11*g2^5) + (3*t^8.404)/(g1^14*g2^2) + (g2*t^8.414)/g1^17 + (g2^4*t^8.424)/g1^20 + g1^9*g2^9*t^8.569 + (2*g1^12*t^8.826)/g2^6 + (2*g1^9*t^8.836)/g2^3 + g1^6*t^8.846 - 2*g1^3*g2^3*t^8.856 - g2^6*t^8.866 + (g2^12*t^8.887)/g1^6 - t^4.048/(g1*g2*y) - (2*t^6.134)/(g2^6*y) - t^6.144/(g1^3*g2^3*y) - t^6.154/(g1^6*y) + (g1^2*t^7.171)/(g2^10*y) + (2*t^7.182)/(g1*g2^7*y) + (2*t^7.192)/(g1^4*g2^4*y) + t^7.202/(g1^7*g2*y) + (3*g1^4*t^7.942)/(g2^2*y) + (2*g1*g2*t^7.952)/y + (3*g2^4*t^7.962)/(g1^2*y) - (3*g1*t^8.219)/(g2^11*y) - (2*t^8.229)/(g1^2*g2^8*y) - (3*t^8.24)/(g1^5*g2^5*y) - t^8.25/(g1^8*g2^2*y) - (g2*t^8.26)/(g1^11*y) + (2*g1^9*t^8.97)/(g2^9*y) + (3*g1^6*t^8.98)/(g2^6*y) + (4*g1^3*t^8.99)/(g2^3*y) - (t^4.048*y)/(g1*g2) - (2*t^6.134*y)/g2^6 - (t^6.144*y)/(g1^3*g2^3) - (t^6.154*y)/g1^6 + (g1^2*t^7.171*y)/g2^10 + (2*t^7.182*y)/(g1*g2^7) + (2*t^7.192*y)/(g1^4*g2^4) + (t^7.202*y)/(g1^7*g2) + (3*g1^4*t^7.942*y)/g2^2 + 2*g1*g2*t^7.952*y + (3*g2^4*t^7.962*y)/g1^2 - (3*g1*t^8.219*y)/g2^11 - (2*t^8.229*y)/(g1^2*g2^8) - (3*t^8.24*y)/(g1^5*g2^5) - (t^8.25*y)/(g1^8*g2^2) - (g2*t^8.26*y)/g1^11 + (2*g1^9*t^8.97*y)/g2^9 + (3*g1^6*t^8.98*y)/g2^6 + (4*g1^3*t^8.99*y)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|---|
774 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{6}$ | 0.6895 | 0.8745 | 0.7885 | [M:[0.6972, 0.6972, 0.6907, 0.6929, 1.3028, 0.6972], q:[0.823, 0.8295], qb:[0.4798, 0.4777], phi:[0.3475]] | t^2.072 + t^2.079 + t^2.085 + 2*t^2.091 + t^2.872 + t^3.902 + t^3.915 + t^3.921 + t^4.144 + t^4.151 + 2*t^4.157 + 3*t^4.164 + 3*t^4.17 + 2*t^4.177 + 3*t^4.183 + t^4.945 + t^4.951 + 2*t^4.957 + 2*t^4.964 + t^5.745 + t^5.974 + t^5.981 + t^5.987 + 2*t^5.994 - t^6. - t^4.043/y - t^4.043*y | detail |