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 |
---|---|---|---|---|---|---|---|---|---|
4299 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6748 | 0.8451 | 0.7985 | [M:[1.0, 1.174, 0.9715, 0.826, 0.7247, 1.0285, 0.6961, 1.1013], q:[0.7753, 0.3987], qb:[0.6013, 0.4272], phi:[0.4494]] | [M:[[0], [-3], [-11], [3], [-1], [11], [-12], [4]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | t^2.088 + t^2.174 + t^2.478 + t^3. + t^3.086 + t^3.304 + t^3.522 + t^3.608 + t^3.74 + t^4.13 + t^4.177 + t^4.262 + 2*t^4.348 + t^4.434 + t^4.566 + t^4.652 + 2*t^4.956 + t^5.088 + 2*t^5.174 + t^5.26 + t^5.478 + t^5.563 + t^5.611 + 2*t^5.696 + 2*t^5.782 + t^5.829 - t^6. + t^6.086 + t^6.171 + t^6.218 + t^6.265 + t^6.304 + t^6.351 + t^6.389 + 2*t^6.437 + 2*t^6.522 + 3*t^6.608 + t^6.655 + t^6.693 + t^6.74 + t^6.826 + t^6.912 + 2*t^7.044 + 2*t^7.13 + t^7.177 + t^7.215 + 2*t^7.262 + t^7.348 + 3*t^7.434 + t^7.481 + t^7.519 + 2*t^7.652 + t^7.699 + 2*t^7.738 + 2*t^7.785 + 2*t^7.87 + t^7.917 + 2*t^7.956 + 2*t^8.041 - t^8.174 + 2*t^8.26 + t^8.307 + t^8.345 + t^8.354 + t^8.439 + 2*t^8.525 + 2*t^8.563 + 2*t^8.611 + t^8.649 + 4*t^8.696 + t^8.743 + 2*t^8.782 + t^8.829 + 2*t^8.867 - t^4.348/y - t^6.437/y - t^6.522/y + t^7.262/y + t^7.566/y + t^7.652/y + t^8.088/y + (3*t^8.174)/y + (2*t^8.26)/y + t^8.392/y + (2*t^8.478)/y - t^8.525/y + t^8.563/y + t^8.696/y + (2*t^8.782)/y + t^8.829/y + t^8.914/y - t^4.348*y - t^6.437*y - t^6.522*y + t^7.262*y + t^7.566*y + t^7.652*y + t^8.088*y + 3*t^8.174*y + 2*t^8.26*y + t^8.392*y + 2*t^8.478*y - t^8.525*y + t^8.563*y + t^8.696*y + 2*t^8.782*y + t^8.829*y + t^8.914*y | t^2.088/g1^12 + t^2.174/g1 + g1^3*t^2.478 + t^3. + g1^11*t^3.086 + g1^4*t^3.304 + t^3.522/g1^3 + g1^8*t^3.608 + t^3.74/g1^10 + g1^5*t^4.13 + t^4.177/g1^24 + t^4.262/g1^13 + (2*t^4.348)/g1^2 + g1^9*t^4.434 + t^4.566/g1^9 + g1^2*t^4.652 + 2*g1^6*t^4.956 + t^5.088/g1^12 + (2*t^5.174)/g1 + g1^10*t^5.26 + g1^3*t^5.478 + g1^14*t^5.563 + t^5.611/g1^15 + (2*t^5.696)/g1^4 + 2*g1^7*t^5.782 + t^5.829/g1^22 - t^6. + g1^11*t^6.086 + g1^22*t^6.171 + t^6.218/g1^7 + t^6.265/g1^36 + g1^4*t^6.304 + t^6.351/g1^25 + g1^15*t^6.389 + (2*t^6.437)/g1^14 + (2*t^6.522)/g1^3 + 3*g1^8*t^6.608 + t^6.655/g1^21 + g1^19*t^6.693 + t^6.74/g1^10 + g1*t^6.826 + g1^12*t^6.912 + (2*t^7.044)/g1^6 + 2*g1^5*t^7.13 + t^7.177/g1^24 + g1^16*t^7.215 + (2*t^7.262)/g1^13 + t^7.348/g1^2 + 3*g1^9*t^7.434 + t^7.481/g1^20 + g1^20*t^7.519 + 2*g1^2*t^7.652 + t^7.699/g1^27 + 2*g1^13*t^7.738 + (2*t^7.785)/g1^16 + (2*t^7.87)/g1^5 + t^7.917/g1^34 + 2*g1^6*t^7.956 + 2*g1^17*t^8.041 - t^8.174/g1 + 2*g1^10*t^8.26 + t^8.307/g1^19 + g1^21*t^8.345 + t^8.354/g1^48 + t^8.439/g1^37 + (2*t^8.525)/g1^26 + 2*g1^14*t^8.563 + (2*t^8.611)/g1^15 + g1^25*t^8.649 + (4*t^8.696)/g1^4 + t^8.743/g1^33 + 2*g1^7*t^8.782 + t^8.829/g1^22 + 2*g1^18*t^8.867 - t^4.348/(g1^2*y) - t^6.437/(g1^14*y) - t^6.522/(g1^3*y) + t^7.262/(g1^13*y) + t^7.566/(g1^9*y) + (g1^2*t^7.652)/y + t^8.088/(g1^12*y) + (3*t^8.174)/(g1*y) + (2*g1^10*t^8.26)/y + t^8.392/(g1^8*y) + (2*g1^3*t^8.478)/y - t^8.525/(g1^26*y) + (g1^14*t^8.563)/y + t^8.696/(g1^4*y) + (2*g1^7*t^8.782)/y + t^8.829/(g1^22*y) + t^8.914/(g1^11*y) - (t^4.348*y)/g1^2 - (t^6.437*y)/g1^14 - (t^6.522*y)/g1^3 + (t^7.262*y)/g1^13 + (t^7.566*y)/g1^9 + g1^2*t^7.652*y + (t^8.088*y)/g1^12 + (3*t^8.174*y)/g1 + 2*g1^10*t^8.26*y + (t^8.392*y)/g1^8 + 2*g1^3*t^8.478*y - (t^8.525*y)/g1^26 + g1^14*t^8.563*y + (t^8.696*y)/g1^4 + 2*g1^7*t^8.782*y + (t^8.829*y)/g1^22 + (t^8.914*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
5760 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{2}M_{9}$ | 0.6898 | 0.8712 | 0.7918 | [M:[1.0, 1.1767, 0.9811, 0.8233, 0.7256, 1.0189, 0.7066, 1.0978, 0.8233], q:[0.7744, 0.4022], qb:[0.5978, 0.4211], phi:[0.4511]] | t^2.12 + t^2.177 + 2*t^2.47 + t^3. + t^3.057 + t^3.293 + t^3.587 + t^3.767 + t^4.117 + t^4.24 + t^4.297 + 2*t^4.353 + t^4.41 + 2*t^4.59 + 2*t^4.647 + 4*t^4.94 + t^5.12 + 2*t^5.177 + t^5.233 + 2*t^5.47 + 2*t^5.527 + t^5.707 + 3*t^5.763 + t^5.886 - 2*t^6. - t^4.353/y - t^4.353*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 |
---|---|---|---|---|---|---|---|---|---|
2281 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6843 | 0.8612 | 0.7946 | [M:[1.0, 1.1697, 0.9556, 0.8303, 0.7232, 1.0444, 0.6789], q:[0.7768, 0.393], qb:[0.607, 0.4373], phi:[0.4465]] | t^2.037 + t^2.17 + t^2.491 + t^2.679 + t^3. + t^3.133 + t^3.509 + t^3.642 + t^3.697 + t^4.073 + t^4.151 + t^4.206 + 2*t^4.339 + t^4.473 + t^4.527 + t^4.661 + t^4.715 + t^4.849 + 2*t^4.982 + t^5.037 + 3*t^5.17 + t^5.303 + t^5.546 + t^5.624 + 3*t^5.679 + t^5.734 + 2*t^5.812 - t^6. - t^4.339/y - t^4.339*y | detail |