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 |
---|---|---|---|---|---|---|---|---|---|
47925 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.2241 | 1.4234 | 0.86 | [X:[1.459], q:[0.7527, 0.2117], qb:[0.5178, 0.3292], phi:[0.3648]] | [X:[[0, 4]], q:[[-1, -8], [-1, -4]], qb:[[1, 6], [1, 0]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{5}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 3 | 2*t^2.189 + t^2.717 + t^3.246 + 2*t^3.283 + 2*t^3.811 + t^4.34 + 4*t^4.377 + 2*t^4.623 + 3*t^4.906 + 2*t^5.189 + 3*t^5.434 + 3*t^5.471 + 2*t^5.717 + t^5.963 + 3*t^6. + 2*t^6.246 + t^6.492 + 4*t^6.529 + 7*t^6.566 + 4*t^6.811 + 3*t^7.057 + 6*t^7.094 + 2*t^7.34 + 2*t^7.377 + t^7.586 + 8*t^7.623 + 5*t^7.66 + 2*t^7.869 + 4*t^7.906 + 5*t^8.152 + 5*t^8.189 + 6*t^8.434 + 2*t^8.471 + 4*t^8.68 + 4*t^8.717 + 9*t^8.754 + 4*t^8.963 - t^4.094/y - t^5.189/y - (2*t^6.283)/y - t^7.34/y - (2*t^7.377)/y + t^7.906/y + t^8.434/y - t^8.471/y + t^8.963/y - t^4.094*y - t^5.189*y - 2*t^6.283*y - t^7.34*y - 2*t^7.377*y + t^7.906*y + t^8.434*y - t^8.471*y + t^8.963*y | 2*g2^2*t^2.189 + t^2.717/g2^3 + t^3.246/g2^8 + 2*g2^3*t^3.283 + (2*t^3.811)/g2^2 + t^4.34/g2^7 + 4*g2^4*t^4.377 + t^4.623/(g1^3*g2^15) + g1^3*g2^7*t^4.623 + (3*t^4.906)/g2 + t^5.189/(g1^3*g2^9) + g1^3*g2^13*t^5.189 + (3*t^5.434)/g2^6 + 3*g2^5*t^5.471 + t^5.717/(g1^3*g2^14) + g1^3*g2^8*t^5.717 + t^5.963/g2^11 + 3*t^6. + t^6.246/(g1^3*g2^19) + g1^3*g2^3*t^6.246 + t^6.492/g2^16 + (4*t^6.529)/g2^5 + 7*g2^6*t^6.566 + (2*t^6.811)/(g1^3*g2^13) + 2*g1^3*g2^9*t^6.811 + (3*t^7.057)/g2^10 + 6*g2*t^7.094 + t^7.34/(g1^3*g2^18) + g1^3*g2^4*t^7.34 + t^7.377/(g1^3*g2^7) + g1^3*g2^15*t^7.377 + t^7.586/g2^15 + (8*t^7.623)/g2^4 + 5*g2^7*t^7.66 + t^7.869/(g1^3*g2^23) + (g1^3*t^7.869)/g2 + (2*t^7.906)/(g1^3*g2^12) + 2*g1^3*g2^10*t^7.906 + (5*t^8.152)/g2^9 + 5*g2^2*t^8.189 + (3*t^8.434)/(g1^3*g2^17) + 3*g1^3*g2^5*t^8.434 + t^8.471/(g1^3*g2^6) + g1^3*g2^16*t^8.471 + (4*t^8.68)/g2^14 + (4*t^8.717)/g2^3 + 9*g2^8*t^8.754 + 2*g1^3*t^8.963 + (2*t^8.963)/(g1^3*g2^22) - (g2*t^4.094)/y - (g2^2*t^5.189)/y - (2*g2^3*t^6.283)/y - t^7.34/(g2^7*y) - (2*g2^4*t^7.377)/y + t^7.906/(g2*y) + t^8.434/(g2^6*y) - (g2^5*t^8.471)/y + t^8.963/(g2^11*y) - g2*t^4.094*y - g2^2*t^5.189*y - 2*g2^3*t^6.283*y - (t^7.34*y)/g2^7 - 2*g2^4*t^7.377*y + (t^7.906*y)/g2 + (t^8.434*y)/g2^6 - g2^5*t^8.471*y + (t^8.963*y)/g2^11 |
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 |
---|---|---|---|---|---|---|---|---|
57597 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.2439 | 1.4599 | 0.852 | [X:[1.4559], M:[0.7279], q:[0.7562, 0.212], qb:[0.5159, 0.3321], phi:[0.364]] | 3*t^2.18 + t^2.72 + t^3.26 + 2*t^3.28 + t^3.82 + t^4.36 + 7*t^4.37 + 2*t^4.63 + 4*t^4.91 + 2*t^5.18 + 4*t^5.45 + 5*t^5.46 + 2*t^5.72 + t^5.99 + 2*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | |
57595 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.2344 | 1.4398 | 0.8573 | [X:[1.4275], M:[0.855], q:[0.7869, 0.2144], qb:[0.4994, 0.3581], phi:[0.3569]] | 2*t^2.14 + t^2.57 + t^2.79 + 2*t^3.21 + 2*t^3.86 + 4*t^4.28 + t^4.51 + 2*t^4.71 + 2*t^4.72 + 3*t^4.93 + t^5.13 + 2*t^5.14 + 4*t^5.35 + t^5.58 + 2*t^5.78 + 2*t^5.79 + 3*t^6. - t^4.07/y - t^5.14/y - t^4.07*y - t^5.14*y | detail | |
57594 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.224 | 1.4229 | 0.8602 | [X:[1.4545], M:[], q:[0.7576, 0.2121], qb:[0.5152, 0.3333], phi:[0.3636]] | 2*t^2.18 + t^2.73 + 3*t^3.27 + 2*t^3.82 + 5*t^4.36 + 2*t^4.64 + 3*t^4.91 + 2*t^5.18 + 6*t^5.45 + 2*t^5.73 + 4*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 26067/21296, c: 15151/10648, X1: 16/11, q1: 25/33, q2: 7/33, qb1: 17/33, qb2: 1/3, phi1: 4/11} |
57581 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1267 | 1.3165 | 0.8559 | [X:[1.3575], M:[], q:[0.9819, 0.3394], qb:[0.3394, 0.3031], phi:[0.3394]] | 2*t^2.04 + t^2.95 + 2*t^3.05 + 2*t^3.85 + 3*t^3.96 + 4*t^4.07 + 2*t^4.87 + 3*t^4.98 + 3*t^5.09 + t^5.78 + 5*t^5.89 + 5*t^6. - t^4.02/y - t^5.04/y - t^4.02*y - t^5.04*y | detail | |
57579 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{3}$ | 0.9801 | 1.0962 | 0.8941 | [X:[1.1429, 1.4286, 1.4286], M:[], q:[1.0952, 0.2381], qb:[0.3333, 0.619], phi:[0.2857]] | 2*t^2.57 + 2*t^3.43 + 3*t^4.29 + 2*t^4.71 + 3*t^5.14 + 2*t^5.57 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 5379/5488, c: 376/343, X1: 8/7, X2: 10/7, X3: 10/7, q1: 23/21, q2: 5/21, qb1: 1/3, qb2: 13/21, phi1: 2/7} |
57756 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.2193 | 1.4171 | 0.8604 | [X:[1.4431], M:[], q:[0.7975, 0.2405], qb:[0.481, 0.3164], phi:[0.3608]] | 2*t^2.16 + t^2.75 + 2*t^3.25 + t^3.34 + 2*t^3.84 + 4*t^4.33 + 2*t^4.42 + 5*t^4.92 + 4*t^5.41 + 4*t^5.51 + 4*t^6. - t^4.08/y - t^5.16/y - t^4.08*y - t^5.16*y | detail | |
57589 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ | 1.1809 | 1.3826 | 0.8541 | [X:[1.4855], M:[], q:[0.8098, 0.2953], qb:[0.4474, 0.2192], phi:[0.3714]] | 2*t^2.23 + t^2.66 + t^3.09 + 2*t^3.34 + 3*t^3.77 + t^4.2 + 5*t^4.46 + 4*t^4.89 + 5*t^5.32 + 3*t^5.57 + t^5.74 + 6*t^6. - t^4.11/y - t^5.23/y - t^4.11*y - t^5.23*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 |
---|---|---|---|---|---|---|---|---|---|
47867 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6835 | 0.8756 | [q:[0.4973, 0.4973], qb:[0.5027, 0.4919], phi:[0.3351]] | t^2.011 + 2*t^2.967 + 2*t^3. + t^3.016 + 2*t^3.973 + 2*t^4.005 + t^4.022 + 4*t^4.978 + 4*t^5.011 + t^5.027 + t^5.465 + 2*t^5.481 + t^5.497 + 3*t^5.935 + 3*t^5.967 + 4*t^5.984 - 3*t^6. - t^4.005/y - t^5.011/y - t^4.005*y - t^5.011*y | detail |