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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1541 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6343 | 0.7825 | 0.8106 | [M:[0.8386, 0.8386, 0.8867, 0.7904, 1.2096, 1.1614], q:[0.7422, 0.4193], qb:[0.3711, 0.7904], phi:[0.4193]] | [M:[[-4], [-4], [-9], [1], [-1], [4]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{1}M_{6}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 2 | t^2.371 + 2*t^2.516 + t^2.66 + 2*t^3.484 + 2*t^3.629 + t^3.773 + 2*t^4.598 + 2*t^4.742 + t^4.887 + 3*t^5.031 + 2*t^5.176 + t^5.32 + t^5.711 + t^5.855 + 2*t^6. + 3*t^6.145 + 3*t^6.289 + t^6.434 + t^6.969 + 3*t^7.113 + 4*t^7.258 + 3*t^7.402 + 5*t^7.547 + 3*t^7.692 + 2*t^7.836 + t^7.981 + 2*t^8.082 + 3*t^8.227 - t^8.371 + t^8.66 + 3*t^8.805 + 3*t^8.949 - t^4.258/y - (2*t^6.773)/y - t^6.918/y + t^7.598/y + (2*t^7.742)/y + (2*t^7.887)/y + (2*t^8.031)/y + (2*t^8.176)/y + (2*t^8.855)/y - t^4.258*y - 2*t^6.773*y - t^6.918*y + t^7.598*y + 2*t^7.742*y + 2*t^7.887*y + 2*t^8.031*y + 2*t^8.176*y + 2*t^8.855*y | g1*t^2.371 + (2*t^2.516)/g1^4 + t^2.66/g1^9 + 2*g1^4*t^3.484 + (2*t^3.629)/g1 + t^3.773/g1^6 + 2*g1^7*t^4.598 + 2*g1^2*t^4.742 + t^4.887/g1^3 + (3*t^5.031)/g1^8 + (2*t^5.176)/g1^13 + t^5.32/g1^18 + g1^10*t^5.711 + g1^5*t^5.855 + 2*t^6. + (3*t^6.145)/g1^5 + (3*t^6.289)/g1^10 + t^6.434/g1^15 + g1^8*t^6.969 + 3*g1^3*t^7.113 + (4*t^7.258)/g1^2 + (3*t^7.402)/g1^7 + (5*t^7.547)/g1^12 + (3*t^7.692)/g1^17 + (2*t^7.836)/g1^22 + t^7.981/g1^27 + 2*g1^11*t^8.082 + 3*g1^6*t^8.227 - g1*t^8.371 + t^8.66/g1^9 + (3*t^8.805)/g1^14 + (3*t^8.949)/g1^19 - t^4.258/(g1^2*y) - (2*t^6.773)/(g1^6*y) - t^6.918/(g1^11*y) + (g1^7*t^7.598)/y + (2*g1^2*t^7.742)/y + (2*t^7.887)/(g1^3*y) + (2*t^8.031)/(g1^8*y) + (2*t^8.176)/(g1^13*y) + (2*g1^5*t^8.855)/y - (t^4.258*y)/g1^2 - (2*t^6.773*y)/g1^6 - (t^6.918*y)/g1^11 + g1^7*t^7.598*y + 2*g1^2*t^7.742*y + (2*t^7.887*y)/g1^3 + (2*t^8.031*y)/g1^8 + (2*t^8.176*y)/g1^13 + 2*g1^5*t^8.855*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 |
---|---|---|---|---|---|---|---|---|---|
984 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6579 | 0.8086 | 0.8137 | [M:[1.0037, 0.7433, 0.9002, 0.8467, 1.1533, 1.1265], q:[0.6247, 0.3716], qb:[0.4751, 0.7816], phi:[0.4367]] | t^2.23 + t^2.54 + t^2.701 + t^3.011 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.161 + t^4.219 + t^4.299 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.058 + t^5.08 + t^5.241 + t^5.401 + t^5.609 + t^5.712 + t^5.77 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail |