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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50974 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 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]] | [M:[[-4], [-1], [1], [1], [1], [-9]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 | {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} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 3*t^2.367 + 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^6.163 + t^6.327 + t^6.49 + 5*t^6.939 + 10*t^7.102 + 9*t^7.265 + 10*t^7.429 + 9*t^7.592 + 5*t^7.755 + 2*t^7.918 + 4*t^8.041 + t^8.082 + 7*t^8.204 - 5*t^8.367 - t^8.531 - 3*t^8.694 + t^8.857 - t^4.265/y - (2*t^6.633)/y - (2*t^6.796)/y - t^6.959/y + t^7.571/y + (5*t^7.735)/y + (8*t^7.898)/y + (4*t^8.061)/y + (2*t^8.224)/y + (6*t^8.837)/y - t^4.265*y - 2*t^6.633*y - 2*t^6.796*y - t^6.959*y + t^7.571*y + 5*t^7.735*y + 8*t^7.898*y + 4*t^8.061*y + 2*t^8.224*y + 6*t^8.837*y | 3*g1*t^2.367 + (2*t^2.531)/g1^4 + t^2.694/g1^9 + 2*g1^4*t^3.469 + t^3.796/g1^6 + 2*g1^7*t^4.571 + 7*g1^2*t^4.735 + (5*t^4.898)/g1^3 + (5*t^5.061)/g1^8 + (2*t^5.224)/g1^13 + t^5.388/g1^18 + g1^10*t^5.673 + 5*g1^5*t^5.837 + t^6.163/g1^5 + t^6.327/g1^10 + t^6.49/g1^15 + 5*g1^8*t^6.939 + 10*g1^3*t^7.102 + (9*t^7.265)/g1^2 + (10*t^7.429)/g1^7 + (9*t^7.592)/g1^12 + (5*t^7.755)/g1^17 + (2*t^7.918)/g1^22 + 4*g1^11*t^8.041 + t^8.082/g1^27 + 7*g1^6*t^8.204 - 5*g1*t^8.367 - t^8.531/g1^4 - (3*t^8.694)/g1^9 + t^8.857/g1^14 - t^4.265/(g1^2*y) - (2*t^6.633)/(g1*y) - (2*t^6.796)/(g1^6*y) - t^6.959/(g1^11*y) + (g1^7*t^7.571)/y + (5*g1^2*t^7.735)/y + (8*t^7.898)/(g1^3*y) + (4*t^8.061)/(g1^8*y) + (2*t^8.224)/(g1^13*y) + (6*g1^5*t^8.837)/y - (t^4.265*y)/g1^2 - (2*t^6.633*y)/g1 - (2*t^6.796*y)/g1^6 - (t^6.959*y)/g1^11 + g1^7*t^7.571*y + 5*g1^2*t^7.735*y + (8*t^7.898*y)/g1^3 + (4*t^8.061*y)/g1^8 + (2*t^8.224*y)/g1^13 + 6*g1^5*t^8.837*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 |
---|---|---|---|---|---|---|---|---|
56181 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ | 0.6628 | 0.8364 | 0.7924 | [M:[0.8889, 1.2222, 0.7778, 0.7778, 0.7778, 1.0], q:[0.6667, 0.4444], qb:[0.3333, 0.7778], phi:[0.4444]] | 3*t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + t^4. + 2*t^4.333 + 7*t^4.667 + 5*t^5. + 6*t^5.333 + 7*t^5.667 + t^6. - t^4.333/y - t^4.333*y | detail | {a: 859/1296, c: 271/324, M1: 8/9, M2: 11/9, M3: 7/9, M4: 7/9, M5: 7/9, M6: 1, q1: 2/3, q2: 4/9, qb1: 1/3, qb2: 7/9, phi1: 4/9} |
56193 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6883 | 0.8798 | 0.7823 | [M:[0.8513, 1.2128, 0.7872, 0.7872, 0.7872, 0.9154, 0.7231], q:[0.7231, 0.4256], qb:[0.3615, 0.7872], phi:[0.4256]] | t^2.169 + 3*t^2.362 + 2*t^2.554 + t^2.746 + 2*t^3.446 + t^4.338 + 5*t^4.531 + 9*t^4.723 + 6*t^4.915 + 5*t^5.108 + 2*t^5.3 + t^5.492 + 3*t^5.615 + 5*t^5.808 - t^4.277/y - t^4.277*y | detail | |
56191 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6825 | 0.8676 | 0.7867 | [M:[0.8313, 1.2078, 0.7922, 0.7922, 0.7922, 0.8705, 0.8313], q:[0.753, 0.4157], qb:[0.3765, 0.7922], phi:[0.4157]] | 3*t^2.376 + 3*t^2.494 + t^2.612 + t^3.506 + t^3.741 + 2*t^4.635 + 7*t^4.753 + 8*t^4.871 + 8*t^4.988 + 3*t^5.106 + t^5.223 + t^5.765 + 2*t^5.882 - t^6. - t^4.247/y - t^4.247*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.323/y - t^4.323*y | detail |