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 |
---|---|---|---|---|---|---|---|---|---|
54444 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ | 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]] | [M:[[3], [7], [0], [-4], [-4], [-3]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | 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^6.032 + 2*t^6.69 + 4*t^6.706 + 5*t^6.722 + 4*t^6.738 + t^6.802 + t^6.833 + 2*t^7.429 + 5*t^7.444 + 6*t^7.46 + 6*t^7.476 + t^7.492 - t^7.508 + t^7.54 + t^8.167 + 3*t^8.183 + 8*t^8.198 + 7*t^8.214 + t^8.23 - 2*t^8.246 - 2*t^8.262 - 3*t^8.278 + t^8.31 + t^8.905 + 5*t^8.921 + 8*t^8.937 + 10*t^8.952 + 4*t^8.968 - 3*t^8.984 - t^4.508/y - t^6.786/y + t^7.476/y - t^7.492/y + t^7.508/y + (2*t^7.524)/y + t^8.198/y + (3*t^8.214)/y + (4*t^8.23)/y + (2*t^8.246)/y + (2*t^8.262)/y + t^8.278/y + (2*t^8.952)/y + (4*t^8.968)/y + (5*t^8.984)/y - t^4.508*y - t^6.786*y + t^7.476*y - t^7.492*y + t^7.508*y + 2*t^7.524*y + t^8.198*y + 3*t^8.214*y + 4*t^8.23*y + 2*t^8.246*y + 2*t^8.262*y + t^8.278*y + 2*t^8.952*y + 4*t^8.968*y + 5*t^8.984*y | t^2.23/g1^5 + t^2.246/g1 + g1^7*t^2.278 + t^2.968/g1^8 + (2*t^2.984)/g1^4 + t^3. + (2*t^3.738)/g1^3 + g1*t^3.754 + (2*t^4.46)/g1^10 + (2*t^4.476)/g1^6 + (2*t^4.492)/g1^2 + g1^2*t^4.508 + g1^6*t^4.524 + g1^14*t^4.556 + t^5.198/g1^13 + (3*t^5.214)/g1^9 + (3*t^5.23)/g1^5 + (2*t^5.246)/g1 + g1^3*t^5.262 + t^5.937/g1^16 + (2*t^5.952)/g1^12 + (5*t^5.968)/g1^8 + (3*t^5.984)/g1^4 - 2*t^6. + g1^8*t^6.032 + (2*t^6.69)/g1^15 + (4*t^6.706)/g1^11 + (5*t^6.722)/g1^7 + (4*t^6.738)/g1^3 + g1^13*t^6.802 + g1^21*t^6.833 + (2*t^7.429)/g1^18 + (5*t^7.444)/g1^14 + (6*t^7.46)/g1^10 + (6*t^7.476)/g1^6 + t^7.492/g1^2 - g1^2*t^7.508 + g1^10*t^7.54 + t^8.167/g1^21 + (3*t^8.183)/g1^17 + (8*t^8.198)/g1^13 + (7*t^8.214)/g1^9 + t^8.23/g1^5 - (2*t^8.246)/g1 - 2*g1^3*t^8.262 - 3*g1^7*t^8.278 + g1^15*t^8.31 + t^8.905/g1^24 + (5*t^8.921)/g1^20 + (8*t^8.937)/g1^16 + (10*t^8.952)/g1^12 + (4*t^8.968)/g1^8 - (3*t^8.984)/g1^4 - (g1^2*t^4.508)/y - (g1^9*t^6.786)/y + t^7.476/(g1^6*y) - t^7.492/(g1^2*y) + (g1^2*t^7.508)/y + (2*g1^6*t^7.524)/y + t^8.198/(g1^13*y) + (3*t^8.214)/(g1^9*y) + (4*t^8.23)/(g1^5*y) + (2*t^8.246)/(g1*y) + (2*g1^3*t^8.262)/y + (g1^7*t^8.278)/y + (2*t^8.952)/(g1^12*y) + (4*t^8.968)/(g1^8*y) + (5*t^8.984)/(g1^4*y) - g1^2*t^4.508*y - g1^9*t^6.786*y + (t^7.476*y)/g1^6 - (t^7.492*y)/g1^2 + g1^2*t^7.508*y + 2*g1^6*t^7.524*y + (t^8.198*y)/g1^13 + (3*t^8.214*y)/g1^9 + (4*t^8.23*y)/g1^5 + (2*t^8.246*y)/g1 + 2*g1^3*t^8.262*y + g1^7*t^8.278*y + (2*t^8.952*y)/g1^12 + (4*t^8.968*y)/g1^8 + (5*t^8.984*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 |
---|---|---|---|---|---|---|---|---|
56559 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6068 | 0.7776 | 0.7804 | [M:[0.7321, 0.7083, 1.0, 1.0238, 1.0238, 1.2679, 0.9523], q:[0.756, 0.5119], qb:[0.5358, 0.244], phi:[0.4881]] | t^2.125 + t^2.268 + t^2.339 + t^2.857 + t^3. + 2*t^3.072 + t^3.732 + 2*t^3.804 + t^4.25 + t^4.393 + t^4.464 + 2*t^4.536 + 2*t^4.607 + 2*t^4.679 + t^4.982 + t^5.125 + 2*t^5.196 + t^5.268 + 3*t^5.339 + 2*t^5.411 + t^5.714 + 2*t^5.857 + 2*t^5.928 - 2*t^6. - t^4.464/y - t^4.464*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.501/y - t^4.501*y | detail |