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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3259 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6187 | 0.7531 | 0.8216 | [X:[1.6168], M:[0.8504, 0.6824, 1.1496, 0.3832, 1.3176, 0.7664], q:[0.4042, 0.7454], qb:[0.4462, 0.8714], phi:[0.3832]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 7], [0, -2]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.299 + t^2.551 + t^3.449 + 2*t^3.575 + 2*t^3.827 + t^3.953 + 3*t^4.598 + 3*t^4.85 + t^5.102 + t^5.748 + 2*t^5.874 - 2*t^6. + 4*t^6.126 + t^6.252 + 2*t^6.378 + t^6.504 + 4*t^6.898 + 5*t^7.15 - 2*t^7.276 + 4*t^7.402 + 3*t^7.653 + 2*t^7.779 + t^7.905 + t^8.047 + 2*t^8.173 - 4*t^8.299 + 4*t^8.425 - 3*t^8.551 + 4*t^8.677 + t^8.803 + 2*t^8.929 - t^4.15/y - (2*t^6.449)/y + t^7.598/y + (4*t^7.85)/y - t^8.748/y + (4*t^8.874)/y - t^4.15*y - 2*t^6.449*y + t^7.598*y + 4*t^7.85*y - t^8.748*y + 4*t^8.874*y | (2*t^2.299)/g2^2 + g2^3*t^2.551 + t^3.449/g2^3 + (g1^2*t^3.575)/g2^9 + (g2^8*t^3.575)/g1^2 + (g1^2*t^3.827)/g2^4 + (g2^13*t^3.827)/g1^2 + g2^7*t^3.953 + (3*t^4.598)/g2^4 + 3*g2*t^4.85 + g2^6*t^5.102 + t^5.748/g2^5 + (g1^2*t^5.874)/g2^11 + (g2^6*t^5.874)/g1^2 - 2*t^6. + (2*g1^2*t^6.126)/g2^6 + (2*g2^11*t^6.126)/g1^2 + g2^5*t^6.252 + (g1^2*t^6.378)/g2 + (g2^16*t^6.378)/g1^2 + g2^10*t^6.504 + (4*t^6.898)/g2^6 + (g1^4*t^7.15)/g2^18 + (3*t^7.15)/g2 + (g2^16*t^7.15)/g1^4 - (g1^2*t^7.276)/g2^7 - (g2^10*t^7.276)/g1^2 + (g1^4*t^7.402)/g2^13 + 2*g2^4*t^7.402 + (g2^21*t^7.402)/g1^4 + (g1^4*t^7.653)/g2^8 + g2^9*t^7.653 + (g2^26*t^7.653)/g1^4 + g1^2*g2^3*t^7.779 + (g2^20*t^7.779)/g1^2 + g2^14*t^7.905 + t^8.047/g2^7 + (g1^2*t^8.173)/g2^13 + (g2^4*t^8.173)/g1^2 - (4*t^8.299)/g2^2 + (2*g1^2*t^8.425)/g2^8 + (2*g2^9*t^8.425)/g1^2 - 3*g2^3*t^8.551 + (2*g1^2*t^8.677)/g2^3 + (2*g2^14*t^8.677)/g1^2 + g2^8*t^8.803 + g1^2*g2^2*t^8.929 + (g2^19*t^8.929)/g1^2 - t^4.15/(g2*y) - (2*t^6.449)/(g2^3*y) + t^7.598/(g2^4*y) + (4*g2*t^7.85)/y - t^8.748/(g2^5*y) + (2*g1^2*t^8.874)/(g2^11*y) + (2*g2^6*t^8.874)/(g1^2*y) - (t^4.15*y)/g2 - (2*t^6.449*y)/g2^3 + (t^7.598*y)/g2^4 + 4*g2*t^7.85*y - (t^8.748*y)/g2^5 + (2*g1^2*t^8.874*y)/g2^11 + (2*g2^6*t^8.874*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
2748 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{5}$ | 0.6005 | 0.7211 | 0.8327 | [X:[1.614], M:[0.8421, 0.7018, 1.1579, 0.386, 1.2982], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]] | t^2.316 + t^2.526 + t^3.474 + 2*t^3.579 + t^3.684 + 2*t^3.789 + t^3.895 + t^4.632 + 2*t^4.842 + t^5.053 - t^6. - t^4.158/y - t^4.158*y | detail | {a: 5203/8664, c: 781/1083, X1: 92/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 74/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57} |