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 |
---|---|---|---|---|---|---|---|---|---|
1897 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6013 | 0.7852 | 0.7658 | [M:[0.9195, 1.2415, 0.9195, 0.7585, 0.9195], q:[0.7299, 0.3506], qb:[0.3506, 0.4078], phi:[0.5403]] | [M:[[4], [-12], [4], [12], [4]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$ | ${}M_{2}M_{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1 | t^2.104 + 2*t^2.275 + 3*t^2.758 + t^3.413 + 3*t^3.725 + 2*t^3.896 + t^4.068 + t^4.208 + 2*t^4.379 + 3*t^4.551 + 3*t^4.862 + 6*t^5.034 + 6*t^5.517 + 2*t^5.689 + t^5.828 + t^6. + 5*t^6.172 + t^6.311 + 2*t^6.343 + 6*t^6.483 + 6*t^6.655 + 7*t^6.826 + 3*t^7.138 + 9*t^7.309 + 3*t^7.449 + t^7.481 + 4*t^7.621 + 12*t^7.792 + t^7.932 + 5*t^7.964 - 3*t^8.104 + t^8.136 + 7*t^8.275 + t^8.415 + 8*t^8.447 + 3*t^8.619 - 5*t^8.758 + 10*t^8.93 - t^4.621/y + t^7.551/y + (5*t^7.862)/y + (6*t^8.034)/y + (4*t^8.517)/y + (2*t^8.689)/y + (3*t^8.828)/y - t^4.621*y + t^7.551*y + 5*t^7.862*y + 6*t^8.034*y + 4*t^8.517*y + 2*t^8.689*y + 3*t^8.828*y | t^2.104/g1^10 + 2*g1^12*t^2.275 + 3*g1^4*t^2.758 + g1^18*t^3.413 + (3*t^3.725)/g1^12 + 2*g1^10*t^3.896 + g1^32*t^4.068 + t^4.208/g1^20 + 2*g1^2*t^4.379 + 3*g1^24*t^4.551 + (3*t^4.862)/g1^6 + 6*g1^16*t^5.034 + 6*g1^8*t^5.517 + 2*g1^30*t^5.689 + t^5.828/g1^22 + t^6. + 5*g1^22*t^6.172 + t^6.311/g1^30 + 2*g1^44*t^6.343 + (6*t^6.483)/g1^8 + 6*g1^14*t^6.655 + 7*g1^36*t^6.826 + 3*g1^6*t^7.138 + 9*g1^28*t^7.309 + (3*t^7.449)/g1^24 + g1^50*t^7.481 + (4*t^7.621)/g1^2 + 12*g1^20*t^7.792 + t^7.932/g1^32 + 5*g1^42*t^7.964 - (3*t^8.104)/g1^10 + g1^64*t^8.136 + 7*g1^12*t^8.275 + t^8.415/g1^40 + 8*g1^34*t^8.447 + 3*g1^56*t^8.619 - 5*g1^4*t^8.758 + 10*g1^26*t^8.93 - t^4.621/(g1^2*y) + (g1^24*t^7.551)/y + (5*t^7.862)/(g1^6*y) + (6*g1^16*t^8.034)/y + (4*g1^8*t^8.517)/y + (2*g1^30*t^8.689)/y + (3*t^8.828)/(g1^22*y) - (t^4.621*y)/g1^2 + g1^24*t^7.551*y + (5*t^7.862*y)/g1^6 + 6*g1^16*t^8.034*y + 4*g1^8*t^8.517*y + 2*g1^30*t^8.689*y + (3*t^8.828*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
2922 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6147 | 0.8068 | 0.7619 | [M:[0.9267, 1.2198, 0.9267, 0.7802, 0.9267, 0.8297], q:[0.7317, 0.3416], qb:[0.3416, 0.4386], phi:[0.5366]] | t^2.05 + 2*t^2.341 + t^2.489 + 3*t^2.78 + 3*t^3.659 + 2*t^3.95 + t^4.099 + t^4.241 + 2*t^4.39 + t^4.539 + 3*t^4.681 + 5*t^4.83 + t^4.978 + 6*t^5.121 + 3*t^5.269 + 5*t^5.56 + t^5.709 + t^6. - t^4.61/y - t^4.61*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 |
---|---|---|---|---|---|---|---|---|---|
546 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.594 | 0.7723 | 0.7691 | [M:[0.9215, 1.2355, 0.9215, 0.7645], q:[0.7304, 0.3481], qb:[0.3481, 0.4164], phi:[0.5392]] | t^2.089 + 2*t^2.294 + 2*t^2.765 + t^3.235 + t^3.44 + 3*t^3.706 + 2*t^3.911 + t^4.116 + t^4.177 + 2*t^4.382 + 3*t^4.587 + 2*t^4.853 + 4*t^5.058 + t^5.324 + 5*t^5.529 + 2*t^5.734 + t^5.795 + 3*t^6. - t^4.618/y - t^4.618*y | detail |