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 |
---|---|---|---|---|---|---|---|---|---|
3388 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ | 0.5996 | 0.7724 | 0.7763 | [M:[0.953, 1.1411, 1.047, 0.7116, 0.8589, 1.1411], q:[0.7382, 0.3088], qb:[0.4561, 0.4028], phi:[0.5235]] | [M:[[-4], [12], [4], [18], [-12], [12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}$ | -3 | 2*t^2.135 + t^2.295 + 2*t^3.141 + 3*t^3.423 + t^3.583 + t^3.705 + t^3.987 + t^4.147 + 3*t^4.27 + t^4.307 + 2*t^4.429 + t^4.589 + 4*t^5.276 + 2*t^5.436 + 5*t^5.558 + 3*t^5.718 + t^5.84 + t^5.878 - 3*t^6. + 2*t^6.122 - t^6.16 + 2*t^6.282 + 4*t^6.404 + t^6.442 + 7*t^6.564 + t^6.602 + 2*t^6.724 + 5*t^6.846 + t^6.884 + 3*t^7.128 - t^7.288 + 8*t^7.411 + t^7.448 + 3*t^7.571 + 8*t^7.693 + 3*t^7.73 + 2*t^7.853 + t^7.89 + 2*t^7.975 + t^8.013 - 6*t^8.135 + t^8.173 + 3*t^8.257 - 4*t^8.295 + 3*t^8.417 + 5*t^8.539 + t^8.577 + t^8.615 + 10*t^8.699 + t^8.737 + 4*t^8.859 + t^8.897 + 6*t^8.981 - t^4.571/y - t^6.705/y + t^7.147/y + t^7.27/y + (3*t^7.429)/y - t^7.712/y - t^7.994/y + (4*t^8.276)/y + (3*t^8.436)/y + (6*t^8.558)/y + (5*t^8.718)/y + t^8.84/y + t^8.878/y - t^4.571*y - t^6.705*y + t^7.147*y + t^7.27*y + 3*t^7.429*y - t^7.712*y - t^7.994*y + 4*t^8.276*y + 3*t^8.436*y + 6*t^8.558*y + 5*t^8.718*y + t^8.84*y + t^8.878*y | 2*g1^18*t^2.135 + t^2.295/g1^20 + 2*g1^4*t^3.141 + 3*g1^12*t^3.423 + t^3.583/g1^26 + g1^20*t^3.705 + g1^28*t^3.987 + t^4.147/g1^10 + 3*g1^36*t^4.27 + t^4.307/g1^48 + (2*t^4.429)/g1^2 + t^4.589/g1^40 + 4*g1^22*t^5.276 + (2*t^5.436)/g1^16 + 5*g1^30*t^5.558 + (3*t^5.718)/g1^8 + g1^38*t^5.84 + t^5.878/g1^46 - 3*t^6. + 2*g1^46*t^6.122 - t^6.16/g1^38 + 2*g1^8*t^6.282 + 4*g1^54*t^6.404 + t^6.442/g1^30 + 7*g1^16*t^6.564 + t^6.602/g1^68 + (2*t^6.724)/g1^22 + 5*g1^24*t^6.846 + t^6.884/g1^60 + 3*g1^32*t^7.128 - t^7.288/g1^6 + 8*g1^40*t^7.411 + t^7.448/g1^44 + 3*g1^2*t^7.571 + 8*g1^48*t^7.693 + (3*t^7.73)/g1^36 + 2*g1^10*t^7.853 + t^7.89/g1^74 + 2*g1^56*t^7.975 + t^8.013/g1^28 - 6*g1^18*t^8.135 + t^8.173/g1^66 + 3*g1^64*t^8.257 - (4*t^8.295)/g1^20 + 3*g1^26*t^8.417 + 5*g1^72*t^8.539 + t^8.577/g1^12 + t^8.615/g1^96 + 10*g1^34*t^8.699 + t^8.737/g1^50 + (4*t^8.859)/g1^4 + t^8.897/g1^88 + 6*g1^42*t^8.981 - (g1^2*t^4.571)/y - (g1^20*t^6.705)/y + t^7.147/(g1^10*y) + (g1^36*t^7.27)/y + (3*t^7.429)/(g1^2*y) - (g1^6*t^7.712)/y - (g1^14*t^7.994)/y + (4*g1^22*t^8.276)/y + (3*t^8.436)/(g1^16*y) + (6*g1^30*t^8.558)/y + (5*t^8.718)/(g1^8*y) + (g1^38*t^8.84)/y + t^8.878/(g1^46*y) - g1^2*t^4.571*y - g1^20*t^6.705*y + (t^7.147*y)/g1^10 + g1^36*t^7.27*y + (3*t^7.429*y)/g1^2 - g1^6*t^7.712*y - g1^14*t^7.994*y + 4*g1^22*t^8.276*y + (3*t^8.436*y)/g1^16 + 6*g1^30*t^8.558*y + (5*t^8.718*y)/g1^8 + g1^38*t^8.84*y + (t^8.878*y)/g1^46 |
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 |
---|---|---|---|---|---|---|---|---|
3870 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6204 | 0.8138 | 0.7624 | [M:[0.9529, 1.1414, 1.0471, 0.7121, 0.8586, 1.1414, 0.67], q:[0.7382, 0.3089], qb:[0.4554, 0.4032], phi:[0.5236]] | t^2.01 + 2*t^2.136 + t^2.293 + 2*t^3.141 + 3*t^3.424 + t^3.581 + t^3.707 + t^4.02 + 3*t^4.146 + 3*t^4.273 + 2*t^4.303 + 2*t^4.429 + t^4.586 + 2*t^5.151 + 4*t^5.278 + 5*t^5.434 + 5*t^5.561 + t^5.591 + 4*t^5.717 + t^5.844 + t^5.874 - 3*t^6. - t^4.571/y - t^4.571*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 |
---|---|---|---|---|---|---|---|---|---|
2838 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.6123 | 0.7936 | 0.7715 | [M:[0.9508, 1.1475, 1.0492, 0.7212, 0.8525], q:[0.7377, 0.3115], qb:[0.4427, 0.4098], phi:[0.5246]] | 2*t^2.164 + t^2.263 + t^2.558 + 2*t^3.147 + 2*t^3.442 + t^3.541 + t^3.737 + t^4.032 + t^4.131 + t^4.23 + 3*t^4.327 + 2*t^4.426 + t^4.525 + 2*t^4.721 + t^4.82 + t^5.115 + 4*t^5.311 + 2*t^5.41 + 3*t^5.606 + 4*t^5.705 + t^5.804 + t^5.901 - t^6. - t^4.574/y - t^4.574*y | detail |