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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47262 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ | 0.6 | 0.7706 | 0.7786 | [M:[0.9549, 0.7934, 0.8646, 1.1354, 1.1354], q:[0.7387, 0.3064], qb:[0.4679, 0.3967], phi:[0.5226]] | [M:[[-4], [26], [-12], [12], [12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.109 + t^2.323 + t^2.38 + t^2.865 + t^3.135 + 3*t^3.406 + t^3.677 + t^3.891 + t^3.948 + t^4.161 + t^4.219 + t^4.375 + t^4.432 + t^4.49 + t^4.646 + t^4.703 + t^4.761 + t^4.974 + t^5.187 + 2*t^5.245 + t^5.458 + 3*t^5.516 + 2*t^5.729 + 3*t^5.787 - t^6. + 2*t^6.057 + 3*t^6.271 + 2*t^6.328 + 4*t^6.542 + t^6.599 + t^6.698 + t^6.755 + 6*t^6.813 + t^6.87 + t^6.969 + 4*t^7.083 + t^7.141 + t^7.297 + 4*t^7.354 + t^7.51 + t^7.568 + 5*t^7.625 + 2*t^7.781 + t^7.839 + 4*t^7.896 + t^8.052 + t^8.109 + 4*t^8.167 + t^8.265 - t^8.323 + 3*t^8.438 + t^8.536 + 4*t^8.651 + 2*t^8.709 + t^8.75 - 2*t^8.865 + 6*t^8.922 + t^8.979 - t^4.568/y - t^6.948/y + t^7.161/y + t^7.432/y + t^7.49/y + t^7.703/y + (2*t^8.187)/y + (2*t^8.245)/y + t^8.458/y + (4*t^8.516)/y + (3*t^8.729)/y + (4*t^8.787)/y - t^4.568*y - t^6.948*y + t^7.161*y + t^7.432*y + t^7.49*y + t^7.703*y + 2*t^8.187*y + 2*t^8.245*y + t^8.458*y + 4*t^8.516*y + 3*t^8.729*y + 4*t^8.787*y | g1^18*t^2.109 + t^2.323/g1^20 + g1^26*t^2.38 + t^2.865/g1^4 + g1^4*t^3.135 + 3*g1^12*t^3.406 + g1^20*t^3.677 + t^3.891/g1^18 + g1^28*t^3.948 + t^4.161/g1^10 + g1^36*t^4.219 + t^4.375/g1^48 + t^4.432/g1^2 + g1^44*t^4.49 + t^4.646/g1^40 + g1^6*t^4.703 + g1^52*t^4.761 + g1^14*t^4.974 + t^5.187/g1^24 + 2*g1^22*t^5.245 + t^5.458/g1^16 + 3*g1^30*t^5.516 + (2*t^5.729)/g1^8 + 3*g1^38*t^5.787 - t^6. + 2*g1^46*t^6.057 + 3*g1^8*t^6.271 + 2*g1^54*t^6.328 + 4*g1^16*t^6.542 + g1^62*t^6.599 + t^6.698/g1^68 + t^6.755/g1^22 + 6*g1^24*t^6.813 + g1^70*t^6.87 + t^6.969/g1^60 + 4*g1^32*t^7.083 + g1^78*t^7.141 + t^7.297/g1^6 + 4*g1^40*t^7.354 + t^7.51/g1^44 + g1^2*t^7.568 + 5*g1^48*t^7.625 + (2*t^7.781)/g1^36 + g1^10*t^7.839 + 4*g1^56*t^7.896 + t^8.052/g1^28 + g1^18*t^8.109 + 4*g1^64*t^8.167 + t^8.265/g1^66 - t^8.323/g1^20 + 3*g1^72*t^8.438 + t^8.536/g1^58 + 4*g1^34*t^8.651 + 2*g1^80*t^8.709 + t^8.75/g1^96 - (2*t^8.865)/g1^4 + 6*g1^42*t^8.922 + g1^88*t^8.979 - (g1^2*t^4.568)/y - (g1^28*t^6.948)/y + t^7.161/(g1^10*y) + t^7.432/(g1^2*y) + (g1^44*t^7.49)/y + (g1^6*t^7.703)/y + (2*t^8.187)/(g1^24*y) + (2*g1^22*t^8.245)/y + t^8.458/(g1^16*y) + (4*g1^30*t^8.516)/y + (3*t^8.729)/(g1^8*y) + (4*g1^38*t^8.787)/y - g1^2*t^4.568*y - g1^28*t^6.948*y + (t^7.161*y)/g1^10 + (t^7.432*y)/g1^2 + g1^44*t^7.49*y + g1^6*t^7.703*y + (2*t^8.187*y)/g1^24 + 2*g1^22*t^8.245*y + (t^8.458*y)/g1^16 + 4*g1^30*t^8.516*y + (3*t^8.729*y)/g1^8 + 4*g1^38*t^8.787*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 |
---|---|---|---|---|---|---|---|---|
52654 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6182 | 0.8027 | 0.7701 | [M:[0.9527, 0.8073, 0.8582, 1.1418, 1.1418, 0.7636], q:[0.7382, 0.3091], qb:[0.4545, 0.4037], phi:[0.5236]] | t^2.138 + 2*t^2.291 + t^2.422 + t^2.858 + t^3.142 + 3*t^3.426 + t^3.862 + t^3.993 + t^4.145 + t^4.277 + t^4.298 + 2*t^4.429 + t^4.56 + 3*t^4.582 + 2*t^4.713 + t^4.844 + t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 3*t^5.564 + 5*t^5.716 + 2*t^5.848 - 2*t^6. - t^4.571/y - t^4.571*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 |
---|---|---|---|---|---|---|---|---|---|
46387 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6123 | 0.7909 | 0.7741 | [M:[0.9527, 0.8072, 0.8582, 1.1418], q:[0.7382, 0.3091], qb:[0.4546, 0.4036], phi:[0.5236]] | t^2.138 + t^2.291 + t^2.422 + t^2.575 + t^2.858 + t^3.142 + 2*t^3.425 + t^3.709 + t^3.862 + t^3.992 + t^4.146 + t^4.276 + t^4.299 + t^4.429 + t^4.56 + t^4.582 + 2*t^4.713 + t^4.843 + t^4.866 + 2*t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 2*t^5.563 + 2*t^5.716 + 2*t^5.847 + t^6. - t^4.571/y - t^4.571*y | detail |