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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56420 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6998 | 0.8922 | 0.7843 | [M:[1.1576, 1.0, 0.6848, 0.8424, 1.0788, 0.7636, 0.697], q:[0.4545, 0.3879], qb:[0.5455, 0.7697], phi:[0.4606]] | [M:[[8], [0], [-16], [-8], [4], [-12], [10]], q:[[-15], [7]], qb:[[15], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.054 + t^2.091 + t^2.291 + t^2.527 + t^2.8 + t^3. + t^3.236 + t^3.473 + t^3.673 + 2*t^4.109 + t^4.145 + 2*t^4.182 + t^4.345 + 2*t^4.382 + 2*t^4.581 + t^4.618 + t^4.655 + t^4.818 + t^4.855 + t^4.891 + 2*t^5.054 + 2*t^5.091 + 2*t^5.291 + 2*t^5.327 + 2*t^5.527 + t^5.564 + t^5.601 + 3*t^5.764 + t^5.963 - t^6. + t^6.037 + 2*t^6.163 + 2*t^6.2 + 2*t^6.236 + 2*t^6.273 + 2*t^6.399 + t^6.436 + 4*t^6.473 + 3*t^6.636 + 3*t^6.673 + 2*t^6.709 + t^6.746 + 2*t^6.872 + 3*t^6.909 + t^6.946 + 2*t^6.982 + 3*t^7.109 + 2*t^7.145 + 3*t^7.182 + 4*t^7.345 + 2*t^7.382 + 2*t^7.419 + t^7.455 + 3*t^7.581 + 3*t^7.618 + 2*t^7.655 + t^7.692 + t^7.781 + 2*t^7.818 + 3*t^7.855 + t^7.891 + 2*t^8.054 - 2*t^8.091 + 2*t^8.128 + 3*t^8.217 + 2*t^8.254 + 2*t^8.291 + 2*t^8.327 + 2*t^8.364 + t^8.401 + 2*t^8.454 + 3*t^8.49 + 4*t^8.564 + 4*t^8.69 + 3*t^8.727 + 6*t^8.764 - t^8.8 + 3*t^8.837 + 3*t^8.926 + 3*t^8.963 - t^4.382/y - t^6.436/y - t^6.473/y - t^6.673/y + t^7.145/y + t^7.345/y + t^7.382/y + t^7.581/y + t^7.618/y + t^7.818/y + t^7.855/y + t^7.891/y + t^8.054/y + (3*t^8.091)/y + (3*t^8.291)/y + (3*t^8.327)/y - t^8.49/y + (2*t^8.527)/y + (2*t^8.764)/y + t^8.8/y - t^4.382*y - t^6.436*y - t^6.473*y - t^6.673*y + t^7.145*y + t^7.345*y + t^7.382*y + t^7.581*y + t^7.618*y + t^7.818*y + t^7.855*y + t^7.891*y + t^8.054*y + 3*t^8.091*y + 3*t^8.291*y + 3*t^8.327*y - t^8.49*y + 2*t^8.527*y + 2*t^8.764*y + t^8.8*y | t^2.054/g1^16 + g1^10*t^2.091 + t^2.291/g1^12 + t^2.527/g1^8 + g1^22*t^2.8 + t^3. + g1^4*t^3.236 + g1^8*t^3.473 + t^3.673/g1^14 + (2*t^4.109)/g1^32 + t^4.145/g1^6 + 2*g1^20*t^4.182 + t^4.345/g1^28 + (2*t^4.382)/g1^2 + (2*t^4.581)/g1^24 + g1^2*t^4.618 + g1^28*t^4.655 + t^4.818/g1^20 + g1^6*t^4.855 + g1^32*t^4.891 + (2*t^5.054)/g1^16 + 2*g1^10*t^5.091 + (2*t^5.291)/g1^12 + 2*g1^14*t^5.327 + (2*t^5.527)/g1^8 + g1^18*t^5.564 + g1^44*t^5.601 + (3*t^5.764)/g1^4 + t^5.963/g1^26 - t^6. + g1^26*t^6.037 + (2*t^6.163)/g1^48 + (2*t^6.2)/g1^22 + 2*g1^4*t^6.236 + 2*g1^30*t^6.273 + (2*t^6.399)/g1^44 + t^6.436/g1^18 + 4*g1^8*t^6.473 + (3*t^6.636)/g1^40 + (3*t^6.673)/g1^14 + 2*g1^12*t^6.709 + g1^38*t^6.746 + (2*t^6.872)/g1^36 + (3*t^6.909)/g1^10 + g1^16*t^6.946 + 2*g1^42*t^6.982 + (3*t^7.109)/g1^32 + (2*t^7.145)/g1^6 + 3*g1^20*t^7.182 + (4*t^7.345)/g1^28 + (2*t^7.382)/g1^2 + 2*g1^24*t^7.419 + g1^50*t^7.455 + (3*t^7.581)/g1^24 + 3*g1^2*t^7.618 + 2*g1^28*t^7.655 + g1^54*t^7.692 + t^7.781/g1^46 + (2*t^7.818)/g1^20 + 3*g1^6*t^7.855 + g1^32*t^7.891 + (2*t^8.054)/g1^16 - 2*g1^10*t^8.091 + 2*g1^36*t^8.128 + (3*t^8.217)/g1^64 + (2*t^8.254)/g1^38 + (2*t^8.291)/g1^12 + 2*g1^14*t^8.327 + 2*g1^40*t^8.364 + g1^66*t^8.401 + (2*t^8.454)/g1^60 + (3*t^8.49)/g1^34 + 4*g1^18*t^8.564 + (4*t^8.69)/g1^56 + (3*t^8.727)/g1^30 + (6*t^8.764)/g1^4 - g1^22*t^8.8 + 3*g1^48*t^8.837 + (3*t^8.926)/g1^52 + (3*t^8.963)/g1^26 - t^4.382/(g1^2*y) - t^6.436/(g1^18*y) - (g1^8*t^6.473)/y - t^6.673/(g1^14*y) + t^7.145/(g1^6*y) + t^7.345/(g1^28*y) + t^7.382/(g1^2*y) + t^7.581/(g1^24*y) + (g1^2*t^7.618)/y + t^7.818/(g1^20*y) + (g1^6*t^7.855)/y + (g1^32*t^7.891)/y + t^8.054/(g1^16*y) + (3*g1^10*t^8.091)/y + (3*t^8.291)/(g1^12*y) + (3*g1^14*t^8.327)/y - t^8.49/(g1^34*y) + (2*t^8.527)/(g1^8*y) + (2*t^8.764)/(g1^4*y) + (g1^22*t^8.8)/y - (t^4.382*y)/g1^2 - (t^6.436*y)/g1^18 - g1^8*t^6.473*y - (t^6.673*y)/g1^14 + (t^7.145*y)/g1^6 + (t^7.345*y)/g1^28 + (t^7.382*y)/g1^2 + (t^7.581*y)/g1^24 + g1^2*t^7.618*y + (t^7.818*y)/g1^20 + g1^6*t^7.855*y + g1^32*t^7.891*y + (t^8.054*y)/g1^16 + 3*g1^10*t^8.091*y + (3*t^8.291*y)/g1^12 + 3*g1^14*t^8.327*y - (t^8.49*y)/g1^34 + (2*t^8.527*y)/g1^8 + (2*t^8.764*y)/g1^4 + g1^22*t^8.8*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 |
---|---|---|---|---|---|---|---|---|---|
53032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6792 | 0.8528 | 0.7964 | [M:[1.1588, 1.0, 0.6823, 0.8412, 1.0794, 0.7617], q:[0.4522, 0.389], qb:[0.5478, 0.7699], phi:[0.4603]] | t^2.047 + t^2.285 + t^2.523 + t^2.81 + t^3. + t^3.238 + t^3.477 + t^3.666 + t^3.904 + 2*t^4.094 + t^4.191 + t^4.332 + t^4.381 + 2*t^4.57 + t^4.668 + t^4.809 + t^4.857 + 2*t^5.047 + t^5.096 + 2*t^5.285 + t^5.334 + 2*t^5.523 + t^5.621 + 2*t^5.762 + 2*t^5.951 - t^6. - t^4.381/y - t^4.381*y | detail |