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 |
---|---|---|---|---|---|---|---|---|---|
56585 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6484 | 0.8521 | 0.761 | [M:[0.741, 0.9279, 1.259, 1.0, 0.7049, 0.777, 0.741], q:[0.5, 0.759], qb:[0.5721, 0.241], phi:[0.482]] | [M:[[1], [8], [-1], [0], [5], [-3], [1]], q:[[0], [-1]], qb:[[-8], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.115 + 2*t^2.223 + t^2.331 + t^2.439 + t^2.784 + 2*t^2.892 + t^3. + t^3.993 + t^4.23 + 2*t^4.338 + 5*t^4.446 + 3*t^4.554 + 4*t^4.662 + t^4.77 + 2*t^4.878 + t^4.899 + 3*t^5.007 + 6*t^5.115 + 4*t^5.223 + 3*t^5.331 + t^5.439 + t^5.567 + 2*t^5.676 + 3*t^5.784 + t^5.892 - 3*t^6. + t^6.324 + t^6.345 + t^6.433 + t^6.453 + 4*t^6.561 + 6*t^6.669 + 6*t^6.777 + 8*t^6.885 + 5*t^6.993 + t^7.013 + 5*t^7.101 + 3*t^7.122 + 2*t^7.21 + 7*t^7.23 + 2*t^7.318 + 12*t^7.338 + 9*t^7.446 + 7*t^7.554 + 4*t^7.662 + t^7.682 + 3*t^7.77 + 3*t^7.79 + t^7.878 + 6*t^7.899 + 8*t^8.007 + 2*t^8.115 - 4*t^8.223 - 6*t^8.331 + t^8.351 - 5*t^8.439 + 3*t^8.459 - 2*t^8.547 + 5*t^8.567 + t^8.655 + 6*t^8.676 + t^8.764 + 2*t^8.784 + 2*t^8.872 + t^8.892 - t^4.446/y - t^6.561/y - t^6.669/y - t^6.777/y - t^7.23/y + t^7.338/y + (2*t^7.446)/y + (4*t^7.554)/y + (3*t^7.662)/y + t^7.77/y + t^7.899/y + (4*t^8.007)/y + (7*t^8.115)/y + (6*t^8.223)/y + (4*t^8.331)/y + t^8.439/y + t^8.676/y + t^8.784/y - t^4.446*y - t^6.561*y - t^6.669*y - t^6.777*y - t^7.23*y + t^7.338*y + 2*t^7.446*y + 4*t^7.554*y + 3*t^7.662*y + t^7.77*y + t^7.899*y + 4*t^8.007*y + 7*t^8.115*y + 6*t^8.223*y + 4*t^8.331*y + t^8.439*y + t^8.676*y + t^8.784*y | g1^5*t^2.115 + 2*g1*t^2.223 + t^2.331/g1^3 + t^2.439/g1^7 + g1^8*t^2.784 + 2*g1^4*t^2.892 + t^3. + t^3.993/g1^9 + g1^10*t^4.23 + 2*g1^6*t^4.338 + 5*g1^2*t^4.446 + (3*t^4.554)/g1^2 + (4*t^4.662)/g1^6 + t^4.77/g1^10 + (2*t^4.878)/g1^14 + g1^13*t^4.899 + 3*g1^9*t^5.007 + 6*g1^5*t^5.115 + 4*g1*t^5.223 + (3*t^5.331)/g1^3 + t^5.439/g1^7 + g1^16*t^5.567 + 2*g1^12*t^5.676 + 3*g1^8*t^5.784 + g1^4*t^5.892 - 3*t^6. + t^6.324/g1^12 + g1^15*t^6.345 + t^6.433/g1^16 + g1^11*t^6.453 + 4*g1^7*t^6.561 + 6*g1^3*t^6.669 + (6*t^6.777)/g1 + (8*t^6.885)/g1^5 + (5*t^6.993)/g1^9 + g1^18*t^7.013 + (5*t^7.101)/g1^13 + 3*g1^14*t^7.122 + (2*t^7.21)/g1^17 + 7*g1^10*t^7.23 + (2*t^7.318)/g1^21 + 12*g1^6*t^7.338 + 9*g1^2*t^7.446 + (7*t^7.554)/g1^2 + (4*t^7.662)/g1^6 + g1^21*t^7.682 + (3*t^7.77)/g1^10 + 3*g1^17*t^7.79 + t^7.878/g1^14 + 6*g1^13*t^7.899 + 8*g1^9*t^8.007 + 2*g1^5*t^8.115 - 4*g1*t^8.223 - (6*t^8.331)/g1^3 + g1^24*t^8.351 - (5*t^8.439)/g1^7 + 3*g1^20*t^8.459 - (2*t^8.547)/g1^11 + 5*g1^16*t^8.567 + t^8.655/g1^15 + 6*g1^12*t^8.676 + t^8.764/g1^19 + 2*g1^8*t^8.784 + (2*t^8.872)/g1^23 + g1^4*t^8.892 - (g1^2*t^4.446)/y - (g1^7*t^6.561)/y - (g1^3*t^6.669)/y - t^6.777/(g1*y) - (g1^10*t^7.23)/y + (g1^6*t^7.338)/y + (2*g1^2*t^7.446)/y + (4*t^7.554)/(g1^2*y) + (3*t^7.662)/(g1^6*y) + t^7.77/(g1^10*y) + (g1^13*t^7.899)/y + (4*g1^9*t^8.007)/y + (7*g1^5*t^8.115)/y + (6*g1*t^8.223)/y + (4*t^8.331)/(g1^3*y) + t^8.439/(g1^7*y) + (g1^12*t^8.676)/y + (g1^8*t^8.784)/y - g1^2*t^4.446*y - g1^7*t^6.561*y - g1^3*t^6.669*y - (t^6.777*y)/g1 - g1^10*t^7.23*y + g1^6*t^7.338*y + 2*g1^2*t^7.446*y + (4*t^7.554*y)/g1^2 + (3*t^7.662*y)/g1^6 + (t^7.77*y)/g1^10 + g1^13*t^7.899*y + 4*g1^9*t^8.007*y + 7*g1^5*t^8.115*y + 6*g1*t^8.223*y + (4*t^8.331*y)/g1^3 + (t^8.439*y)/g1^7 + g1^12*t^8.676*y + g1^8*t^8.784*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 |
---|---|---|---|---|---|---|---|---|
58660 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6456 | 0.8476 | 0.7617 | [M:[0.7438, 0.9506, 1.2562, 1.0, 0.7192, 0.7685, 0.7438, 1.0247], q:[0.5, 0.7562], qb:[0.5494, 0.2438], phi:[0.4877]] | t^2.157 + 2*t^2.231 + t^2.306 + t^2.38 + t^2.852 + t^2.926 + t^3. + t^3.074 + t^3.917 + t^4.315 + 2*t^4.389 + 5*t^4.463 + 3*t^4.537 + 4*t^4.611 + t^4.685 + 2*t^4.759 + t^5.009 + 2*t^5.083 + 4*t^5.157 + 4*t^5.231 + 4*t^5.306 + 2*t^5.38 + t^5.454 + t^5.704 + t^5.778 + t^5.852 + t^5.926 - 2*t^6. - t^4.463/y - t^4.463*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 |
---|---|---|---|---|---|---|---|---|---|
54345 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.629 | 0.8165 | 0.7704 | [M:[0.7413, 0.9302, 1.2587, 1.0, 0.7064, 0.7762], q:[0.5, 0.7587], qb:[0.5698, 0.2413], phi:[0.4826]] | t^2.119 + t^2.224 + t^2.329 + t^2.433 + t^2.791 + 2*t^2.895 + t^3. + t^3.776 + t^3.986 + t^4.238 + t^4.343 + 3*t^4.448 + 2*t^4.552 + 3*t^4.657 + t^4.762 + 2*t^4.866 + t^4.91 + 2*t^5.014 + 4*t^5.119 + 3*t^5.224 + 3*t^5.329 + t^5.433 + t^5.581 + 2*t^5.686 + 3*t^5.791 + 2*t^5.895 - 2*t^6. - t^4.448/y - t^4.448*y | detail |