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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3685 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6714 | 0.8496 | 0.7903 | [X:[1.6168], M:[0.8503, 0.6827, 1.1497, 0.3832, 0.8084, 0.7665, 0.8084], q:[0.4042, 0.7455], qb:[0.4461, 0.8712], phi:[0.3832]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [-2, 9], [0, -2], [2, -8]], 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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${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{5}$ | ${}$ | -2 | t^2.048 + 2*t^2.299 + 2*t^2.425 + t^2.551 + t^3.449 + 2*t^3.826 + t^4.096 + 2*t^4.347 + 2*t^4.473 + 4*t^4.599 + 4*t^4.725 + 6*t^4.85 + 2*t^4.976 + t^5.102 + t^5.497 + t^5.749 + 2*t^5.874 - 2*t^6. + 2*t^6.126 + t^6.144 + 3*t^6.251 + 2*t^6.377 + 2*t^6.396 + 2*t^6.521 + 4*t^6.647 + 4*t^6.773 + 10*t^6.898 + 6*t^7.024 + 9*t^7.15 + 8*t^7.275 + 2*t^7.401 + t^7.545 + 3*t^7.653 + t^7.797 + 2*t^7.922 - t^8.048 + t^8.192 - 2*t^8.299 - 4*t^8.425 + 2*t^8.444 - 2*t^8.551 + 2*t^8.569 + 6*t^8.677 + 4*t^8.695 + 2*t^8.802 + 4*t^8.821 + 2*t^8.928 + 10*t^8.946 - t^4.15/y - t^6.198/y - (2*t^6.449)/y - (2*t^6.575)/y + (2*t^7.347)/y + (2*t^7.473)/y + (2*t^7.599)/y + (6*t^7.725)/y + (5*t^7.85)/y + (2*t^7.976)/y + t^8.102/y - t^8.246/y - t^8.497/y - (2*t^8.623)/y - t^8.749/y - t^4.15*y - t^6.198*y - 2*t^6.449*y - 2*t^6.575*y + 2*t^7.347*y + 2*t^7.473*y + 2*t^7.599*y + 6*t^7.725*y + 5*t^7.85*y + 2*t^7.976*y + t^8.102*y - t^8.246*y - t^8.497*y - 2*t^8.623*y - t^8.749*y | t^2.048/g2^7 + (2*t^2.299)/g2^2 + (g1^2*t^2.425)/g2^8 + (g2^9*t^2.425)/g1^2 + g2^3*t^2.551 + t^3.449/g2^3 + (g1^2*t^3.826)/g2^4 + (g2^13*t^3.826)/g1^2 + t^4.096/g2^14 + (2*t^4.347)/g2^9 + (g1^2*t^4.473)/g2^15 + (g2^2*t^4.473)/g1^2 + (4*t^4.599)/g2^4 + (2*g1^2*t^4.725)/g2^10 + (2*g2^7*t^4.725)/g1^2 + (g1^4*t^4.85)/g2^16 + 4*g2*t^4.85 + (g2^18*t^4.85)/g1^4 + (g1^2*t^4.976)/g2^5 + (g2^12*t^4.976)/g1^2 + g2^6*t^5.102 + t^5.497/g2^10 + t^5.749/g2^5 + (g1^2*t^5.874)/g2^11 + (g2^6*t^5.874)/g1^2 - 2*t^6. + (g1^2*t^6.126)/g2^6 + (g2^11*t^6.126)/g1^2 + t^6.144/g2^21 + (g1^4*t^6.251)/g2^12 + g2^5*t^6.251 + (g2^22*t^6.251)/g1^4 + (g1^2*t^6.377)/g2 + (g2^16*t^6.377)/g1^2 + (2*t^6.396)/g2^16 + (g1^2*t^6.521)/g2^22 + t^6.521/(g1^2*g2^5) + (4*t^6.647)/g2^11 + (2*t^6.773)/g1^2 + (2*g1^2*t^6.773)/g2^17 + (g1^4*t^6.898)/g2^23 + (8*t^6.898)/g2^6 + (g2^11*t^6.898)/g1^4 + (3*g1^2*t^7.024)/g2^12 + (3*g2^5*t^7.024)/g1^2 + (2*g1^4*t^7.15)/g2^18 + (5*t^7.15)/g2 + (2*g2^16*t^7.15)/g1^4 + (g1^6*t^7.275)/g2^24 + (3*g1^2*t^7.275)/g2^7 + (3*g2^10*t^7.275)/g1^2 + (g2^27*t^7.275)/g1^6 + (g1^4*t^7.401)/g2^13 + (g2^21*t^7.401)/g1^4 + t^7.545/g2^17 + (g1^4*t^7.653)/g2^8 + g2^9*t^7.653 + (g2^26*t^7.653)/g1^4 + t^7.797/g2^12 + (g1^2*t^7.922)/g2^18 + t^7.922/(g1^2*g2) - t^8.048/g2^7 + t^8.192/g2^28 + (g1^4*t^8.299)/g2^19 - (4*t^8.299)/g2^2 + (g2^15*t^8.299)/g1^4 - (2*g1^2*t^8.425)/g2^8 - (2*g2^9*t^8.425)/g1^2 + (2*t^8.444)/g2^23 + (g1^4*t^8.551)/g2^14 - 4*g2^3*t^8.551 + (g2^20*t^8.551)/g1^4 + (g1^2*t^8.569)/g2^29 + t^8.569/(g1^2*g2^12) + (g1^6*t^8.677)/g2^20 + (2*g1^2*t^8.677)/g2^3 + (2*g2^14*t^8.677)/g1^2 + (g2^31*t^8.677)/g1^6 + (4*t^8.695)/g2^18 + (g1^4*t^8.802)/g2^9 + (g2^25*t^8.802)/g1^4 + (2*g1^2*t^8.821)/g2^24 + (2*t^8.821)/(g1^2*g2^7) + g1^2*g2^2*t^8.928 + (g2^19*t^8.928)/g1^2 + (g1^4*t^8.946)/g2^30 + (8*t^8.946)/g2^13 + (g2^4*t^8.946)/g1^4 - t^4.15/(g2*y) - t^6.198/(g2^8*y) - (2*t^6.449)/(g2^3*y) - (g1^2*t^6.575)/(g2^9*y) - (g2^8*t^6.575)/(g1^2*y) + (2*t^7.347)/(g2^9*y) + (g1^2*t^7.473)/(g2^15*y) + (g2^2*t^7.473)/(g1^2*y) + (2*t^7.599)/(g2^4*y) + (3*g1^2*t^7.725)/(g2^10*y) + (3*g2^7*t^7.725)/(g1^2*y) + (5*g2*t^7.85)/y + (g1^2*t^7.976)/(g2^5*y) + (g2^12*t^7.976)/(g1^2*y) + (g2^6*t^8.102)/y - t^8.246/(g2^15*y) - t^8.497/(g2^10*y) - (g1^2*t^8.623)/(g2^16*y) - (g2*t^8.623)/(g1^2*y) - t^8.749/(g2^5*y) - (t^4.15*y)/g2 - (t^6.198*y)/g2^8 - (2*t^6.449*y)/g2^3 - (g1^2*t^6.575*y)/g2^9 - (g2^8*t^6.575*y)/g1^2 + (2*t^7.347*y)/g2^9 + (g1^2*t^7.473*y)/g2^15 + (g2^2*t^7.473*y)/g1^2 + (2*t^7.599*y)/g2^4 + (3*g1^2*t^7.725*y)/g2^10 + (3*g2^7*t^7.725*y)/g1^2 + 5*g2*t^7.85*y + (g1^2*t^7.976*y)/g2^5 + (g2^12*t^7.976*y)/g1^2 + g2^6*t^8.102*y - (t^8.246*y)/g2^15 - (t^8.497*y)/g2^10 - (g1^2*t^8.623*y)/g2^16 - (g2*t^8.623*y)/g1^2 - (t^8.749*y)/g2^5 |
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 |
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3262 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6567 | 0.8254 | 0.7956 | [X:[1.6174], M:[0.8522, 0.6781, 1.1478, 0.3826, 0.7705, 0.7652], q:[0.4234, 0.7243], qb:[0.4288, 0.8931], phi:[0.3826]] | t^2.034 + 2*t^2.296 + t^2.312 + t^2.557 + t^3.443 + t^3.459 + t^3.72 + t^3.95 + t^4.069 + 2*t^4.33 + t^4.346 + 4*t^4.591 + 2*t^4.607 + t^4.623 + 3*t^4.852 + t^4.868 + t^5.113 + t^5.478 + t^5.494 + t^5.739 + 3*t^5.755 + t^5.771 - 2*t^6. - t^4.148/y - t^4.148*y | detail |