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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6584 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7309 | 0.9564 | 0.7642 | [M:[0.832, 1.056, 1.168, 0.72, 0.832, 1.056, 0.72, 0.672, 0.696], q:[0.404, 0.764], qb:[0.428, 0.516], phi:[0.472]] | [M:[[-12], [4], [12], [-20], [-12], [4], [-20], [48], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{9}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{8}^{2}$, ${ }M_{8}M_{9}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{9}$, ${ }M_{5}M_{9}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{9}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{9}$, ${ }M_{6}M_{9}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{9}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.016 + t^2.088 + 2*t^2.16 + 2*t^2.496 + t^2.76 + 2*t^3.168 + t^3.576 + t^4.032 + t^4.104 + 4*t^4.176 + 3*t^4.248 + 3*t^4.32 + 3*t^4.512 + 2*t^4.584 + 4*t^4.656 + t^4.776 + t^4.848 + 2*t^4.92 + 3*t^4.992 + 2*t^5.184 + 4*t^5.256 + 4*t^5.328 + t^5.52 + t^5.592 + 4*t^5.664 + t^5.736 + t^5.928 - 3*t^6. + t^6.048 + t^6.072 + t^6.12 + 4*t^6.192 + 4*t^6.264 + 9*t^6.336 + 4*t^6.408 + 4*t^6.48 + 3*t^6.528 + 3*t^6.6 + 8*t^6.672 + 6*t^6.744 + t^6.792 + 6*t^6.816 + t^6.864 + 4*t^6.936 + 5*t^7.008 + 3*t^7.08 + 5*t^7.152 + 2*t^7.2 + 5*t^7.272 + 8*t^7.344 + 6*t^7.416 + 8*t^7.488 + t^7.536 + 2*t^7.608 + 5*t^7.68 + 6*t^7.752 + 6*t^7.824 + t^7.896 + t^7.944 - t^8.016 + t^8.064 - 2*t^8.088 + t^8.136 - 3*t^8.16 + 4*t^8.208 + 5*t^8.28 + 10*t^8.352 + 8*t^8.424 + 6*t^8.496 + 3*t^8.544 + 6*t^8.568 + 3*t^8.616 + 5*t^8.64 + 11*t^8.688 + 6*t^8.76 + t^8.808 + 14*t^8.832 + t^8.88 + 7*t^8.904 + 4*t^8.952 + 8*t^8.976 - t^4.416/y - t^6.432/y - t^6.504/y - (2*t^6.576)/y - t^6.912/y + t^7.104/y + (2*t^7.176)/y + (3*t^7.248)/y + t^7.32/y + (2*t^7.512)/y + t^7.584/y + (4*t^7.656)/y + t^7.776/y + t^7.848/y + (3*t^7.92)/y + t^7.992/y + (2*t^8.184)/y + (6*t^8.256)/y + (5*t^8.328)/y + t^8.4/y - t^8.448/y - t^8.52/y - (2*t^8.592)/y + (3*t^8.664)/y - t^8.736/y + t^8.928/y - t^4.416*y - t^6.432*y - t^6.504*y - 2*t^6.576*y - t^6.912*y + t^7.104*y + 2*t^7.176*y + 3*t^7.248*y + t^7.32*y + 2*t^7.512*y + t^7.584*y + 4*t^7.656*y + t^7.776*y + t^7.848*y + 3*t^7.92*y + t^7.992*y + 2*t^8.184*y + 6*t^8.256*y + 5*t^8.328*y + t^8.4*y - t^8.448*y - t^8.52*y - 2*t^8.592*y + 3*t^8.664*y - t^8.736*y + t^8.928*y | g1^48*t^2.016 + g1^14*t^2.088 + (2*t^2.16)/g1^20 + (2*t^2.496)/g1^12 + g1^30*t^2.76 + 2*g1^4*t^3.168 + t^3.576/g1^22 + g1^96*t^4.032 + g1^62*t^4.104 + 4*g1^28*t^4.176 + (3*t^4.248)/g1^6 + (3*t^4.32)/g1^40 + 3*g1^36*t^4.512 + 2*g1^2*t^4.584 + (4*t^4.656)/g1^32 + g1^78*t^4.776 + g1^44*t^4.848 + 2*g1^10*t^4.92 + (3*t^4.992)/g1^24 + 2*g1^52*t^5.184 + 4*g1^18*t^5.256 + (4*t^5.328)/g1^16 + g1^60*t^5.52 + g1^26*t^5.592 + (4*t^5.664)/g1^8 + t^5.736/g1^42 + g1^34*t^5.928 - 3*t^6. + g1^144*t^6.048 + t^6.072/g1^34 + g1^110*t^6.12 + 4*g1^76*t^6.192 + 4*g1^42*t^6.264 + 9*g1^8*t^6.336 + (4*t^6.408)/g1^26 + (4*t^6.48)/g1^60 + 3*g1^84*t^6.528 + 3*g1^50*t^6.6 + 8*g1^16*t^6.672 + (6*t^6.744)/g1^18 + g1^126*t^6.792 + (6*t^6.816)/g1^52 + g1^92*t^6.864 + 4*g1^58*t^6.936 + 5*g1^24*t^7.008 + (3*t^7.08)/g1^10 + (5*t^7.152)/g1^44 + 2*g1^100*t^7.2 + 5*g1^66*t^7.272 + 8*g1^32*t^7.344 + (6*t^7.416)/g1^2 + (8*t^7.488)/g1^36 + g1^108*t^7.536 + 2*g1^74*t^7.608 + 5*g1^40*t^7.68 + 6*g1^6*t^7.752 + (6*t^7.824)/g1^28 + t^7.896/g1^62 + g1^82*t^7.944 - g1^48*t^8.016 + g1^192*t^8.064 - 2*g1^14*t^8.088 + g1^158*t^8.136 - (3*t^8.16)/g1^20 + 4*g1^124*t^8.208 + 5*g1^90*t^8.28 + 10*g1^56*t^8.352 + 8*g1^22*t^8.424 + (6*t^8.496)/g1^12 + 3*g1^132*t^8.544 + (6*t^8.568)/g1^46 + 3*g1^98*t^8.616 + (5*t^8.64)/g1^80 + 11*g1^64*t^8.688 + 6*g1^30*t^8.76 + g1^174*t^8.808 + (14*t^8.832)/g1^4 + g1^140*t^8.88 + (7*t^8.904)/g1^38 + 4*g1^106*t^8.952 + (8*t^8.976)/g1^72 - t^4.416/(g1^2*y) - (g1^46*t^6.432)/y - (g1^12*t^6.504)/y - (2*t^6.576)/(g1^22*y) - t^6.912/(g1^14*y) + (g1^62*t^7.104)/y + (2*g1^28*t^7.176)/y + (3*t^7.248)/(g1^6*y) + t^7.32/(g1^40*y) + (2*g1^36*t^7.512)/y + (g1^2*t^7.584)/y + (4*t^7.656)/(g1^32*y) + (g1^78*t^7.776)/y + (g1^44*t^7.848)/y + (3*g1^10*t^7.92)/y + t^7.992/(g1^24*y) + (2*g1^52*t^8.184)/y + (6*g1^18*t^8.256)/y + (5*t^8.328)/(g1^16*y) + t^8.4/(g1^50*y) - (g1^94*t^8.448)/y - (g1^60*t^8.52)/y - (2*g1^26*t^8.592)/y + (3*t^8.664)/(g1^8*y) - t^8.736/(g1^42*y) + (g1^34*t^8.928)/y - (t^4.416*y)/g1^2 - g1^46*t^6.432*y - g1^12*t^6.504*y - (2*t^6.576*y)/g1^22 - (t^6.912*y)/g1^14 + g1^62*t^7.104*y + 2*g1^28*t^7.176*y + (3*t^7.248*y)/g1^6 + (t^7.32*y)/g1^40 + 2*g1^36*t^7.512*y + g1^2*t^7.584*y + (4*t^7.656*y)/g1^32 + g1^78*t^7.776*y + g1^44*t^7.848*y + 3*g1^10*t^7.92*y + (t^7.992*y)/g1^24 + 2*g1^52*t^8.184*y + 6*g1^18*t^8.256*y + (5*t^8.328*y)/g1^16 + (t^8.4*y)/g1^50 - g1^94*t^8.448*y - g1^60*t^8.52*y - 2*g1^26*t^8.592*y + (3*t^8.664*y)/g1^8 - (t^8.736*y)/g1^42 + g1^34*t^8.928*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
5013 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7103 | 0.9167 | 0.7748 | [M:[0.8312, 1.0563, 1.1688, 0.7187, 0.8312, 1.0563, 0.7187, 0.675], q:[0.4047, 0.7641], qb:[0.4266, 0.5172], phi:[0.4719]] | t^2.025 + 2*t^2.156 + 2*t^2.494 + t^2.766 + 2*t^3.169 + t^3.572 + t^3.909 + t^4.05 + 3*t^4.181 + t^4.247 + 3*t^4.312 + 3*t^4.519 + 4*t^4.65 + t^4.791 + 2*t^4.922 + 3*t^4.987 + 2*t^5.194 + 2*t^5.259 + 4*t^5.325 + t^5.531 + t^5.597 + 3*t^5.662 + t^5.728 + 2*t^5.934 - 3*t^6. - t^4.416/y - t^4.416*y | detail |