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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3531 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6639 | 0.8842 | 0.7508 | [M:[0.9501, 1.1497, 0.8503, 0.7504, 0.7246, 0.8503, 0.8244], q:[0.7375, 0.3124], qb:[0.4122, 0.438], phi:[0.525]] | [M:[[4], [-12], [12], [20], [-18], [12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.174 + 2*t^2.251 + t^2.473 + 2*t^2.551 + t^2.85 + t^3.15 + t^3.449 + t^4.048 + t^4.126 + t^4.203 + 3*t^4.348 + 4*t^4.425 + 3*t^4.503 + 2*t^4.647 + 6*t^4.725 + 4*t^4.802 + t^4.947 + 4*t^5.024 + 5*t^5.102 + 3*t^5.324 + 4*t^5.401 + 2*t^5.623 + 3*t^5.701 - t^6. - t^6.077 + 2*t^6.222 + 2*t^6.299 + 2*t^6.377 + 2*t^6.454 + 5*t^6.522 + 8*t^6.599 + 7*t^6.676 + 6*t^6.754 + 3*t^6.821 + 9*t^6.898 + 9*t^6.976 + 6*t^7.053 + 2*t^7.121 + 8*t^7.198 + 11*t^7.275 + 9*t^7.353 + t^7.42 + 6*t^7.497 + 9*t^7.575 + 9*t^7.652 + 4*t^7.797 + 5*t^7.874 + 5*t^7.952 + t^8.096 - 2*t^8.174 - 2*t^8.251 - t^8.329 + 3*t^8.396 + t^8.406 - t^8.473 - 3*t^8.551 + t^8.628 + 7*t^8.695 + 3*t^8.706 + 10*t^8.773 + 5*t^8.85 + 9*t^8.928 + 5*t^8.995 - t^4.575/y - t^6.749/y - t^6.826/y - t^7.048/y - t^7.126/y + t^7.348/y + (4*t^7.425)/y + t^7.503/y + (2*t^7.647)/y + (6*t^7.725)/y + (4*t^7.802)/y + (5*t^8.024)/y + (4*t^8.102)/y + (4*t^8.324)/y + (5*t^8.401)/y + (3*t^8.623)/y + (4*t^8.701)/y - t^4.575*y - t^6.749*y - t^6.826*y - t^7.048*y - t^7.126*y + t^7.348*y + 4*t^7.425*y + t^7.503*y + 2*t^7.647*y + 6*t^7.725*y + 4*t^7.802*y + 5*t^8.024*y + 4*t^8.102*y + 4*t^8.324*y + 5*t^8.401*y + 3*t^8.623*y + 4*t^8.701*y | (2*t^2.174)/g1^18 + 2*g1^20*t^2.251 + t^2.473/g1^26 + 2*g1^12*t^2.551 + g1^4*t^2.85 + t^3.15/g1^4 + t^3.449/g1^12 + t^4.048/g1^28 + g1^10*t^4.126 + g1^48*t^4.203 + (3*t^4.348)/g1^36 + 4*g1^2*t^4.425 + 3*g1^40*t^4.503 + (2*t^4.647)/g1^44 + (6*t^4.725)/g1^6 + 4*g1^32*t^4.802 + t^4.947/g1^52 + (4*t^5.024)/g1^14 + 5*g1^24*t^5.102 + (3*t^5.324)/g1^22 + 4*g1^16*t^5.401 + (2*t^5.623)/g1^30 + 3*g1^8*t^5.701 - t^6. - g1^38*t^6.077 + (2*t^6.222)/g1^46 + (2*t^6.299)/g1^8 + 2*g1^30*t^6.377 + 2*g1^68*t^6.454 + (5*t^6.522)/g1^54 + (8*t^6.599)/g1^16 + 7*g1^22*t^6.676 + 6*g1^60*t^6.754 + (3*t^6.821)/g1^62 + (9*t^6.898)/g1^24 + 9*g1^14*t^6.976 + 6*g1^52*t^7.053 + (2*t^7.121)/g1^70 + (8*t^7.198)/g1^32 + 11*g1^6*t^7.275 + 9*g1^44*t^7.353 + t^7.42/g1^78 + (6*t^7.497)/g1^40 + (9*t^7.575)/g1^2 + 9*g1^36*t^7.652 + (4*t^7.797)/g1^48 + (5*t^7.874)/g1^10 + 5*g1^28*t^7.952 + t^8.096/g1^56 - (2*t^8.174)/g1^18 - 2*g1^20*t^8.251 - g1^58*t^8.329 + (3*t^8.396)/g1^64 + g1^96*t^8.406 - t^8.473/g1^26 - 3*g1^12*t^8.551 + g1^50*t^8.628 + (7*t^8.695)/g1^72 + 3*g1^88*t^8.706 + (10*t^8.773)/g1^34 + 5*g1^4*t^8.85 + 9*g1^42*t^8.928 + (5*t^8.995)/g1^80 - t^4.575/(g1^2*y) - t^6.749/(g1^20*y) - (g1^18*t^6.826)/y - t^7.048/(g1^28*y) - (g1^10*t^7.126)/y + t^7.348/(g1^36*y) + (4*g1^2*t^7.425)/y + (g1^40*t^7.503)/y + (2*t^7.647)/(g1^44*y) + (6*t^7.725)/(g1^6*y) + (4*g1^32*t^7.802)/y + (5*t^8.024)/(g1^14*y) + (4*g1^24*t^8.102)/y + (4*t^8.324)/(g1^22*y) + (5*g1^16*t^8.401)/y + (3*t^8.623)/(g1^30*y) + (4*g1^8*t^8.701)/y - (t^4.575*y)/g1^2 - (t^6.749*y)/g1^20 - g1^18*t^6.826*y - (t^7.048*y)/g1^28 - g1^10*t^7.126*y + (t^7.348*y)/g1^36 + 4*g1^2*t^7.425*y + g1^40*t^7.503*y + (2*t^7.647*y)/g1^44 + (6*t^7.725*y)/g1^6 + 4*g1^32*t^7.802*y + (5*t^8.024*y)/g1^14 + 4*g1^24*t^8.102*y + (4*t^8.324*y)/g1^22 + 5*g1^16*t^8.401*y + (3*t^8.623*y)/g1^30 + 4*g1^8*t^8.701*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
2946 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6498 | 0.8607 | 0.755 | [M:[0.9465, 1.1605, 0.8395, 0.7325, 0.7407, 0.8395], q:[0.7366, 0.3169], qb:[0.4239, 0.4157], phi:[0.5267]] | 2*t^2.198 + 2*t^2.222 + 2*t^2.519 + t^2.84 + t^3.16 + t^3.457 + t^3.481 + t^4.074 + t^4.099 + t^4.123 + 3*t^4.395 + 4*t^4.42 + 3*t^4.444 + 4*t^4.716 + 4*t^4.741 + 5*t^5.037 + 2*t^5.062 + 4*t^5.358 + 2*t^5.383 + 2*t^5.654 + 5*t^5.679 + t^5.704 + t^5.975 - t^6. - t^4.58/y - t^4.58*y | detail |