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 |
---|---|---|---|---|---|---|---|---|---|
48259 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6629 | 0.8357 | 0.7933 | [M:[0.8819, 1.2205, 0.7795, 0.7795, 0.7795], q:[0.6772, 0.4409], qb:[0.3386, 0.7795], phi:[0.4409]] | [M:[[-4], [-1], [1], [1], [1]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 3*t^2.339 + 2*t^2.646 + t^3.047 + 2*t^3.354 + t^3.969 + 2*t^4.37 + 7*t^4.677 + 5*t^4.984 + 2*t^5.291 + 4*t^5.386 + 7*t^5.693 + t^6.094 - t^6.307 + 2*t^6.402 + t^6.614 + 5*t^6.709 + 11*t^7.016 + 7*t^7.323 + 2*t^7.417 + 3*t^7.63 + 11*t^7.724 + 4*t^7.937 + 12*t^8.031 - 4*t^8.339 + 4*t^8.433 - 6*t^8.646 + 9*t^8.74 - 3*t^8.953 - t^4.323/y - (2*t^6.661)/y - (2*t^6.969)/y + (5*t^7.677)/y + (8*t^7.984)/y + t^8.291/y + (3*t^8.386)/y + (8*t^8.693)/y - t^4.323*y - 2*t^6.661*y - 2*t^6.969*y + 5*t^7.677*y + 8*t^7.984*y + t^8.291*y + 3*t^8.386*y + 8*t^8.693*y | 3*g1*t^2.339 + (2*t^2.646)/g1^4 + g1^9*t^3.047 + 2*g1^4*t^3.354 + t^3.969/g1^6 + 2*g1^7*t^4.37 + 7*g1^2*t^4.677 + (5*t^4.984)/g1^3 + (2*t^5.291)/g1^8 + 4*g1^10*t^5.386 + 7*g1^5*t^5.693 + g1^18*t^6.094 - t^6.307/g1^5 + 2*g1^13*t^6.402 + t^6.614/g1^10 + 5*g1^8*t^6.709 + 11*g1^3*t^7.016 + (7*t^7.323)/g1^2 + 2*g1^16*t^7.417 + (3*t^7.63)/g1^7 + 11*g1^11*t^7.724 + (4*t^7.937)/g1^12 + 12*g1^6*t^8.031 - 4*g1*t^8.339 + 4*g1^19*t^8.433 - (6*t^8.646)/g1^4 + 9*g1^14*t^8.74 - (3*t^8.953)/g1^9 - t^4.323/(g1^2*y) - (2*t^6.661)/(g1*y) - (2*t^6.969)/(g1^6*y) + (5*g1^2*t^7.677)/y + (8*t^7.984)/(g1^3*y) + t^8.291/(g1^8*y) + (3*g1^10*t^8.386)/y + (8*g1^5*t^8.693)/y - (t^4.323*y)/g1^2 - (2*t^6.661*y)/g1 - (2*t^6.969*y)/g1^6 + 5*g1^2*t^7.677*y + (8*t^7.984*y)/g1^3 + (t^8.291*y)/g1^8 + 3*g1^10*t^8.386*y + 8*g1^5*t^8.693*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 |
---|---|---|---|---|---|---|---|---|
50974 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6685 | 0.8428 | 0.7932 | [M:[0.8435, 1.2109, 0.7891, 0.7891, 0.7891, 0.898], q:[0.7347, 0.4218], qb:[0.3673, 0.7891], phi:[0.4218]] | 3*t^2.367 + 2*t^2.531 + t^2.694 + 2*t^3.469 + t^3.796 + 2*t^4.571 + 7*t^4.735 + 5*t^4.898 + 5*t^5.061 + 2*t^5.224 + t^5.388 + t^5.673 + 5*t^5.837 - t^4.265/y - t^4.265*y | detail | {a: 5503/8232, c: 3469/4116, M1: 124/147, M2: 178/147, M3: 116/147, M4: 116/147, M5: 116/147, M6: 44/49, q1: 36/49, q2: 62/147, qb1: 18/49, qb2: 116/147, phi1: 62/147} |
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 |
---|---|---|---|---|---|---|---|---|---|
46731 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ | 0.6453 | 0.804 | 0.8026 | [M:[0.8793, 1.2198, 0.7802, 0.7802], q:[0.681, 0.4397], qb:[0.3405, 0.7802], phi:[0.4397]] | 2*t^2.34 + 2*t^2.638 + t^3.064 + 2*t^3.362 + t^3.66 + t^3.957 + 2*t^4.383 + 4*t^4.681 + 3*t^4.979 + 2*t^5.276 + 3*t^5.405 + 5*t^5.702 + 2*t^6. - t^4.319/y - t^4.319*y | detail |