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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897 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7195 | 0.8802 | 0.8175 | [M:[0.9747, 0.8444, 1.0253, 0.7937, 0.9747, 1.0905], q:[0.4548, 0.5706], qb:[0.5199, 0.6357], phi:[0.4548]] | [M:[[1, -1], [-1, -3], [-1, 1], [1, -5], [1, -1], [0, 2]], q:[[0, -1], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$ | ${}$ | -4 | t^2.381 + t^2.533 + 2*t^2.924 + 3*t^3.271 + t^4.093 + t^4.288 + t^4.44 + t^4.484 + 2*t^4.636 + t^4.762 + t^4.788 + t^4.831 + t^4.914 + t^4.983 + t^5.066 + t^5.179 + 2*t^5.305 + t^5.457 + t^5.653 + t^5.805 + 2*t^5.848 - 4*t^6. - t^6.152 + 4*t^6.195 - 2*t^6.347 + t^6.474 + 4*t^6.543 + t^6.626 + t^6.669 + t^6.821 + t^6.865 + t^6.973 + 3*t^7.017 + t^7.143 + t^7.169 + 2*t^7.212 + t^7.295 + t^7.321 + 2*t^7.364 + 2*t^7.408 + t^7.447 + 3*t^7.56 + t^7.599 + 2*t^7.686 + t^7.712 + 3*t^7.755 + t^7.838 + 2*t^7.907 + t^7.99 + t^8.034 + t^8.059 + 2*t^8.103 + t^8.186 + 2*t^8.229 + t^8.338 - 2*t^8.381 + t^8.45 - 3*t^8.533 + 2*t^8.577 - t^8.685 + 3*t^8.772 + t^8.855 - 6*t^8.924 + t^8.968 - t^4.364/y - t^6.745/y - t^6.897/y - t^7.288/y + t^7.44/y + t^7.831/y + t^7.914/y + t^7.983/y + (2*t^8.305)/y + (2*t^8.457)/y + (3*t^8.653)/y + (3*t^8.805)/y + t^8.848/y - t^4.364*y - t^6.745*y - t^6.897*y - t^7.288*y + t^7.44*y + t^7.831*y + t^7.914*y + t^7.983*y + 2*t^8.305*y + 2*t^8.457*y + 3*t^8.653*y + 3*t^8.805*y + t^8.848*y | (g1*t^2.381)/g2^5 + t^2.533/(g1*g2^3) + (2*g1*t^2.924)/g2 + 3*g2^2*t^3.271 + t^4.093/g2^3 + (g1*t^4.288)/g2^2 + t^4.44/g1 + (g1^2*t^4.484)/g2 + 2*g2*t^4.636 + (g1^2*t^4.762)/g2^10 + (g2^3*t^4.788)/g1^2 + g1*g2^2*t^4.831 + t^4.914/g2^8 + (g2^4*t^4.983)/g1 + t^5.066/(g1^2*g2^6) + g2^5*t^5.179 + (2*g1^2*t^5.305)/g2^6 + t^5.457/g2^4 + (g1*t^5.653)/g2^3 + t^5.805/(g1*g2) + (2*g1^2*t^5.848)/g2^2 - 4*t^6. - (g2^2*t^6.152)/g1^2 + 4*g1*g2*t^6.195 - (2*g2^3*t^6.347)/g1 + (g1*t^6.474)/g2^8 + 4*g2^4*t^6.543 + t^6.626/(g1*g2^6) + (g1^2*t^6.669)/g2^7 + t^6.821/g2^5 + (g1^3*t^6.865)/g2^6 + t^6.973/(g1^2*g2^3) + (3*g1*t^7.017)/g2^4 + (g1^3*t^7.143)/g2^15 + t^7.169/(g1*g2^2) + (2*g1^2*t^7.212)/g2^3 + (g1*t^7.295)/g2^13 + t^7.321/g1^3 + (2*t^7.364)/g2 + (2*g1^3*t^7.408)/g2^2 + t^7.447/(g1*g2^11) + 3*g1*t^7.56 + t^7.599/(g1^3*g2^9) + (2*g1^3*t^7.686)/g2^11 + (g2^2*t^7.712)/g1 + 3*g1^2*g2*t^7.755 + (g1*t^7.838)/g2^9 + 2*g2^3*t^7.907 + t^7.99/(g1*g2^7) + (g1^2*t^8.034)/g2^8 + (g2^5*t^8.059)/g1^2 + 2*g1*g2^4*t^8.103 + t^8.186/g2^6 + (2*g1^3*t^8.229)/g2^7 + t^8.338/(g1^2*g2^4) - (2*g1*t^8.381)/g2^5 + g2^7*t^8.45 - (3*t^8.533)/(g1*g2^3) + (2*g1^2*t^8.577)/g2^4 - t^8.685/(g1^3*g2) + (3*g1^3*t^8.772)/g2^3 + (g1^2*t^8.855)/g2^13 - (6*g1*t^8.924)/g2 + (g1^4*t^8.968)/g2^2 - t^4.364/(g2*y) - (g1*t^6.745)/(g2^6*y) - t^6.897/(g1*g2^4*y) - (g1*t^7.288)/(g2^2*y) + t^7.44/(g1*y) + (g1*g2^2*t^7.831)/y + t^7.914/(g2^8*y) + (g2^4*t^7.983)/(g1*y) + (2*g1^2*t^8.305)/(g2^6*y) + (2*t^8.457)/(g2^4*y) + (3*g1*t^8.653)/(g2^3*y) + (3*t^8.805)/(g1*g2*y) + (g1^2*t^8.848)/(g2^2*y) - (t^4.364*y)/g2 - (g1*t^6.745*y)/g2^6 - (t^6.897*y)/(g1*g2^4) - (g1*t^7.288*y)/g2^2 + (t^7.44*y)/g1 + g1*g2^2*t^7.831*y + (t^7.914*y)/g2^8 + (g2^4*t^7.983*y)/g1 + (2*g1^2*t^8.305*y)/g2^6 + (2*t^8.457*y)/g2^4 + (3*g1*t^8.653*y)/g2^3 + (3*t^8.805*y)/(g1*g2) + (g1^2*t^8.848*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
2072 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6165 | 0.7522 | 0.8196 | [X:[1.6096], M:[0.8288, 0.7328, 1.1712, 0.3904, 0.8288, 1.2192], q:[0.3904, 0.7808], qb:[0.4384, 0.8288], phi:[0.3904]] | t^2.198 + 2*t^2.486 + t^3.514 + 4*t^3.658 + t^3.802 + t^4.397 + 2*t^4.685 + t^4.829 + 3*t^4.973 + t^5.712 + 2*t^5.856 - 2*t^6. - t^4.171/y - t^4.171*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 |
---|---|---|---|---|---|---|---|---|---|
579 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7283 | 0.8957 | 0.8131 | [M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.692 + 2*t^2.925 + 2*t^3.308 + t^4.039 + t^4.271 + t^4.421 + t^4.503 + t^4.62 + 2*t^4.654 + t^4.77 + t^4.804 + t^4.886 + t^4.92 + t^5.002 + t^5.036 + t^5.153 + 2*t^5.235 + t^5.269 + 2*t^5.385 + 2*t^5.617 + 2*t^5.85 - 2*t^6. - t^4.346/y - t^4.346*y | detail |