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 |
---|---|---|---|---|---|---|---|---|---|
47252 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6204 | 0.7573 | 0.8192 | [M:[1.147, 0.7205, 0.853, 0.8088, 1.1912], q:[0.4044, 0.4486], qb:[0.8751, 0.7426], phi:[0.3823]] | [M:[[12], [18], [-12], [-2], [2]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.162 + t^2.294 + t^2.559 + t^3.441 + 2*t^3.574 + t^3.706 + t^3.838 + t^3.971 + t^4.323 + t^4.456 + t^4.588 + t^4.721 + 2*t^4.853 + t^5.118 + t^5.603 + 2*t^5.735 + t^5.868 + 2*t^6.132 + t^6.265 + t^6.397 + t^6.485 + t^6.53 + t^6.617 + t^6.75 + 2*t^6.882 + 2*t^7.015 + 3*t^7.147 + 2*t^7.412 + t^7.544 + 2*t^7.677 + t^7.764 + t^7.809 + 2*t^7.897 + t^7.942 + t^8.029 + t^8.294 - t^8.559 + t^8.646 + t^8.691 + t^8.779 + t^8.824 + t^8.911 + t^8.956 - t^4.147/y - t^6.309/y - t^6.441/y + t^7.456/y + t^7.721/y + (2*t^7.853)/y + t^7.985/y - t^8.47/y + (2*t^8.735)/y + (3*t^8.868)/y - t^4.147*y - t^6.309*y - t^6.441*y + t^7.456*y + t^7.721*y + 2*t^7.853*y + t^7.985*y - t^8.47*y + 2*t^8.735*y + 3*t^8.868*y | g1^18*t^2.162 + g1^8*t^2.294 + t^2.559/g1^12 + g1^12*t^3.441 + 2*g1^2*t^3.574 + t^3.706/g1^8 + t^3.838/g1^18 + t^3.971/g1^28 + g1^36*t^4.323 + g1^26*t^4.456 + g1^16*t^4.588 + g1^6*t^4.721 + (2*t^4.853)/g1^4 + t^5.118/g1^24 + g1^30*t^5.603 + 2*g1^20*t^5.735 + g1^10*t^5.868 + (2*t^6.132)/g1^10 + t^6.265/g1^20 + t^6.397/g1^30 + g1^54*t^6.485 + t^6.53/g1^40 + g1^44*t^6.617 + g1^34*t^6.75 + 2*g1^24*t^6.882 + 2*g1^14*t^7.015 + 3*g1^4*t^7.147 + (2*t^7.412)/g1^16 + t^7.544/g1^26 + (2*t^7.677)/g1^36 + g1^48*t^7.764 + t^7.809/g1^46 + 2*g1^38*t^7.897 + t^7.942/g1^56 + g1^28*t^8.029 + g1^8*t^8.294 - t^8.559/g1^12 + g1^72*t^8.646 + t^8.691/g1^22 + g1^62*t^8.779 + t^8.824/g1^32 + g1^52*t^8.911 + t^8.956/g1^42 - (g1^4*t^4.147)/y - (g1^22*t^6.309)/y - (g1^12*t^6.441)/y + (g1^26*t^7.456)/y + (g1^6*t^7.721)/y + (2*t^7.853)/(g1^4*y) + t^7.985/(g1^14*y) - (g1^40*t^8.47)/y + (2*g1^20*t^8.735)/y + (3*g1^10*t^8.868)/y - g1^4*t^4.147*y - g1^22*t^6.309*y - g1^12*t^6.441*y + g1^26*t^7.456*y + g1^6*t^7.721*y + (2*t^7.853*y)/g1^4 + (t^7.985*y)/g1^14 - g1^40*t^8.47*y + 2*g1^20*t^8.735*y + 3*g1^10*t^8.868*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 |
---|---|---|---|---|---|---|---|---|
55523 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6021 | 0.7247 | 0.8308 | [M:[1.1537, 0.7305, 0.8463, 0.8077, 1.1923, 1.2309], q:[0.4039, 0.4424], qb:[0.8656, 0.7498], phi:[0.3846]] | t^2.192 + t^2.539 + t^3.461 + 2*t^3.577 + 2*t^3.693 + t^3.808 + t^3.924 + t^4.383 + t^4.731 + t^4.846 + t^5.078 + t^5.653 + t^5.768 - t^6. - t^4.154/y - t^4.154*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 |
---|---|---|---|---|---|---|---|---|---|
46616 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.6206 | 0.7586 | 0.8181 | [M:[1.1494, 0.7075, 0.8506, 0.8251, 1.1749], q:[0.4125, 0.438], qb:[0.88, 0.7369], phi:[0.3831]] | t^2.122 + t^2.299 + t^2.552 + t^3.448 + t^3.525 + t^3.625 + t^3.701 + t^3.778 + t^3.954 + t^4.245 + t^4.421 + t^4.598 + t^4.674 + 2*t^4.851 + t^5.103 + t^5.571 + t^5.647 + t^5.747 + t^5.824 + t^5.9 - t^6. - t^4.149/y - t^4.149*y | detail |