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 |
---|---|---|---|---|---|---|---|---|---|
48204 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6181 | 0.7529 | 0.821 | [M:[1.1559, 0.7339, 0.8441, 0.8073, 1.2294], q:[0.4037, 0.4404], qb:[0.8625, 0.7522], phi:[0.3853]] | [M:[[12], [18], [-12], [-2], [-8]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$ | ${}M_{2}\phi_{1}q_{2}^{2}$ | 0 | t^2.202 + t^2.422 + t^2.532 + t^3.468 + t^3.578 + 2*t^3.688 + t^3.798 + t^3.909 + t^4.403 + t^4.624 + t^4.734 + 2*t^4.844 + t^4.954 + t^5.065 + t^5.669 + t^5.89 + 2*t^6.11 + 2*t^6.22 + 2*t^6.331 + t^6.441 + t^6.605 + t^6.825 + t^6.935 + t^7.046 + t^7.156 + 2*t^7.266 + 3*t^7.376 + 2*t^7.487 + 3*t^7.597 + t^7.707 + t^7.817 + t^7.871 + t^8.091 - t^8.202 + t^8.312 - 2*t^8.422 + t^8.532 + t^8.642 + 3*t^8.753 + t^8.806 + 2*t^8.863 + t^8.973 - t^4.156/y - t^6.358/y - t^6.578/y + t^7.624/y + (2*t^7.734)/y + (2*t^7.954)/y - t^8.559/y + t^8.669/y + (3*t^8.89)/y - t^4.156*y - t^6.358*y - t^6.578*y + t^7.624*y + 2*t^7.734*y + 2*t^7.954*y - t^8.559*y + t^8.669*y + 3*t^8.89*y | g1^18*t^2.202 + t^2.422/g1^2 + t^2.532/g1^12 + g1^12*t^3.468 + g1^2*t^3.578 + (2*t^3.688)/g1^8 + t^3.798/g1^18 + t^3.909/g1^28 + g1^36*t^4.403 + g1^16*t^4.624 + g1^6*t^4.734 + (2*t^4.844)/g1^4 + t^4.954/g1^14 + t^5.065/g1^24 + g1^30*t^5.669 + g1^10*t^5.89 + (2*t^6.11)/g1^10 + (2*t^6.22)/g1^20 + (2*t^6.331)/g1^30 + t^6.441/g1^40 + g1^54*t^6.605 + g1^34*t^6.825 + g1^24*t^6.935 + g1^14*t^7.046 + g1^4*t^7.156 + (2*t^7.266)/g1^6 + (3*t^7.376)/g1^16 + (2*t^7.487)/g1^26 + (3*t^7.597)/g1^36 + t^7.707/g1^46 + t^7.817/g1^56 + g1^48*t^7.871 + g1^28*t^8.091 - g1^18*t^8.202 + g1^8*t^8.312 - (2*t^8.422)/g1^2 + t^8.532/g1^12 + t^8.642/g1^22 + (3*t^8.753)/g1^32 + g1^72*t^8.806 + (2*t^8.863)/g1^42 + t^8.973/g1^52 - (g1^4*t^4.156)/y - (g1^22*t^6.358)/y - (g1^2*t^6.578)/y + (g1^16*t^7.624)/y + (2*g1^6*t^7.734)/y + (2*t^7.954)/(g1^14*y) - (g1^40*t^8.559)/y + (g1^30*t^8.669)/y + (3*g1^10*t^8.89)/y - g1^4*t^4.156*y - g1^22*t^6.358*y - g1^2*t^6.578*y + g1^16*t^7.624*y + 2*g1^6*t^7.734*y + (2*t^7.954*y)/g1^14 - g1^40*t^8.559*y + g1^30*t^8.669*y + 3*g1^10*t^8.89*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 |
---|---|---|---|---|---|---|---|---|
53862 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6388 | 0.7929 | 0.8057 | [M:[1.1508, 0.7263, 0.8492, 0.8082, 1.2328, 0.6853], q:[0.4041, 0.4451], qb:[0.8696, 0.7468], phi:[0.3836]] | t^2.056 + t^2.179 + t^2.425 + t^2.547 + t^3.453 + t^3.575 + 2*t^3.698 + t^3.821 + t^4.112 + t^4.235 + t^4.358 + t^4.481 + 2*t^4.603 + t^4.726 + 2*t^4.849 + t^4.972 + t^5.095 + t^5.508 + 2*t^5.631 + 2*t^5.754 + 2*t^5.877 - t^4.151/y - t^4.151*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 |
---|---|---|---|---|---|---|---|---|---|
46384 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6363 | 0.7853 | 0.8103 | [M:[1.1492, 0.7237, 0.8508, 0.8085], q:[0.4042, 0.4466], qb:[0.872, 0.7449], phi:[0.3831]] | t^2.171 + t^2.298 + t^2.425 + t^2.553 + t^3.447 + t^3.575 + t^3.702 + t^3.829 + t^3.956 + t^4.342 + t^4.47 + 2*t^4.597 + 2*t^4.724 + 3*t^4.851 + t^4.978 + t^5.105 + t^5.619 + t^5.746 + t^5.873 + t^6. - t^4.149/y - t^4.149*y | detail |