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 |
---|---|---|---|---|---|---|---|---|---|
48298 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.624 | 0.8116 | 0.7689 | [M:[0.7503, 0.7508, 1.0, 0.9996, 0.9996], q:[0.7499, 0.4998], qb:[0.4993, 0.2501], phi:[0.5002]] | [M:[[3], [7], [0], [-4], [-4]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.248 + t^2.25 + t^2.251 + t^2.252 + t^2.997 + 2*t^2.999 + t^3. + t^3.749 + t^3.75 + 2*t^4.497 + 2*t^4.498 + 3*t^4.499 + 2*t^4.501 + 2*t^4.502 + t^4.503 + t^4.505 + t^5.246 + 3*t^5.247 + 4*t^5.248 + 4*t^5.25 + 2*t^5.251 + t^5.995 + 2*t^5.996 + 4*t^5.997 + 2*t^5.999 - t^6. + t^6.003 + 2*t^6.745 + 3*t^6.746 + 5*t^6.748 + 5*t^6.749 + 3*t^6.75 + 2*t^6.752 + 2*t^6.753 + 2*t^6.754 + t^6.756 + t^6.757 + 2*t^7.494 + 5*t^7.495 + 7*t^7.497 + 7*t^7.498 + 4*t^7.499 + 3*t^7.501 + 2*t^7.502 + t^7.503 + t^8.243 + 3*t^8.244 + 7*t^8.246 + 7*t^8.247 + 3*t^8.248 - t^8.25 - 4*t^8.251 - 3*t^8.252 + t^8.255 + t^8.992 + 5*t^8.993 + 7*t^8.995 + 9*t^8.996 + 4*t^8.997 - t^4.501/y - t^6.752/y - t^6.753/y + t^7.498/y + (2*t^7.501)/y + (2*t^7.502)/y + t^7.503/y + t^8.246/y + (3*t^8.247)/y + (5*t^8.248)/y + (5*t^8.25)/y + (3*t^8.251)/y + t^8.252/y + (2*t^8.996)/y + (3*t^8.997)/y + (4*t^8.999)/y - t^4.501*y - t^6.752*y - t^6.753*y + t^7.498*y + 2*t^7.501*y + 2*t^7.502*y + t^7.503*y + t^8.246*y + 3*t^8.247*y + 5*t^8.248*y + 5*t^8.25*y + 3*t^8.251*y + t^8.252*y + 2*t^8.996*y + 3*t^8.997*y + 4*t^8.999*y | t^2.248/g1^5 + t^2.25/g1 + g1^3*t^2.251 + g1^7*t^2.252 + t^2.997/g1^8 + (2*t^2.999)/g1^4 + t^3. + t^3.749/g1^3 + g1*t^3.75 + (2*t^4.497)/g1^10 + (2*t^4.498)/g1^6 + (3*t^4.499)/g1^2 + 2*g1^2*t^4.501 + 2*g1^6*t^4.502 + g1^10*t^4.503 + g1^14*t^4.505 + t^5.246/g1^13 + (3*t^5.247)/g1^9 + (4*t^5.248)/g1^5 + (4*t^5.25)/g1 + 2*g1^3*t^5.251 + t^5.995/g1^16 + (2*t^5.996)/g1^12 + (4*t^5.997)/g1^8 + (2*t^5.999)/g1^4 - t^6. + g1^8*t^6.003 + (2*t^6.745)/g1^15 + (3*t^6.746)/g1^11 + (5*t^6.748)/g1^7 + (5*t^6.749)/g1^3 + 3*g1*t^6.75 + 2*g1^5*t^6.752 + 2*g1^9*t^6.753 + 2*g1^13*t^6.754 + g1^17*t^6.756 + g1^21*t^6.757 + (2*t^7.494)/g1^18 + (5*t^7.495)/g1^14 + (7*t^7.497)/g1^10 + (7*t^7.498)/g1^6 + (4*t^7.499)/g1^2 + 3*g1^2*t^7.501 + 2*g1^6*t^7.502 + g1^10*t^7.503 + t^8.243/g1^21 + (3*t^8.244)/g1^17 + (7*t^8.246)/g1^13 + (7*t^8.247)/g1^9 + (3*t^8.248)/g1^5 - t^8.25/g1 - 4*g1^3*t^8.251 - 3*g1^7*t^8.252 + g1^15*t^8.255 + t^8.992/g1^24 + (5*t^8.993)/g1^20 + (7*t^8.995)/g1^16 + (9*t^8.996)/g1^12 + (4*t^8.997)/g1^8 - (g1^2*t^4.501)/y - (g1^5*t^6.752)/y - (g1^9*t^6.753)/y + t^7.498/(g1^6*y) + (2*g1^2*t^7.501)/y + (2*g1^6*t^7.502)/y + (g1^10*t^7.503)/y + t^8.246/(g1^13*y) + (3*t^8.247)/(g1^9*y) + (5*t^8.248)/(g1^5*y) + (5*t^8.25)/(g1*y) + (3*g1^3*t^8.251)/y + (g1^7*t^8.252)/y + (2*t^8.996)/(g1^12*y) + (3*t^8.997)/(g1^8*y) + (4*t^8.999)/(g1^4*y) - g1^2*t^4.501*y - g1^5*t^6.752*y - g1^9*t^6.753*y + (t^7.498*y)/g1^6 + 2*g1^2*t^7.501*y + 2*g1^6*t^7.502*y + g1^10*t^7.503*y + (t^8.246*y)/g1^13 + (3*t^8.247*y)/g1^9 + (5*t^8.248*y)/g1^5 + (5*t^8.25*y)/g1 + 3*g1^3*t^8.251*y + g1^7*t^8.252*y + (2*t^8.996*y)/g1^12 + (3*t^8.997*y)/g1^8 + (4*t^8.999*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
54444 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6051 | 0.7779 | 0.7779 | [M:[0.754, 0.7593, 1.0, 0.9947, 0.9947, 1.246], q:[0.7487, 0.4974], qb:[0.4921, 0.2513], phi:[0.5026]] | t^2.23 + t^2.246 + t^2.278 + t^2.968 + 2*t^2.984 + t^3. + 2*t^3.738 + t^3.754 + 2*t^4.46 + 2*t^4.476 + 2*t^4.492 + t^4.508 + t^4.524 + t^4.556 + t^5.198 + 3*t^5.214 + 3*t^5.23 + 2*t^5.246 + t^5.262 + t^5.937 + 2*t^5.952 + 5*t^5.968 + 3*t^5.984 - 2*t^6. - t^4.508/y - t^4.508*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 |
---|---|---|---|---|---|---|---|---|---|
46639 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6247 | 0.8113 | 0.77 | [M:[0.7396, 0.7258, 1.0, 1.0138], q:[0.7535, 0.5069], qb:[0.5207, 0.2465], phi:[0.4931]] | t^2.177 + t^2.219 + t^2.26 + t^2.302 + t^2.959 + t^3. + t^3.041 + t^3.083 + t^3.74 + t^3.781 + t^4.355 + t^4.396 + 2*t^4.438 + 2*t^4.479 + 3*t^4.521 + 2*t^4.562 + 2*t^4.604 + t^5.136 + t^5.177 + 2*t^5.219 + 4*t^5.26 + 3*t^5.302 + 2*t^5.343 + t^5.385 + 2*t^5.917 + t^5.959 - t^4.479/y - t^4.479*y | detail |