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 |
---|---|---|---|---|---|---|---|---|---|
5030 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.7145 | 0.9128 | 0.7828 | [X:[1.3792], M:[1.0, 0.7933, 0.6208, 1.1725, 0.8275, 0.7584, 0.6899, 0.8275], q:[0.6034, 0.3966], qb:[0.7758, 0.4309], phi:[0.4483]] | [X:[[5]], M:[[0], [-8], [-5], [-3], [3], [10], [-12], [3]], q:[[4], [-4]], qb:[[1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.07 + t^2.275 + t^2.38 + 2*t^2.483 + t^2.69 + t^3. + t^3.103 + t^3.828 + t^4.138 + t^4.14 + 2*t^4.345 + t^4.448 + t^4.45 + t^4.55 + 2*t^4.552 + t^4.655 + 2*t^4.758 + 2*t^4.76 + 2*t^4.862 + 5*t^4.965 + 2*t^5.07 + 3*t^5.172 + t^5.275 + t^5.378 + t^5.38 + 2*t^5.483 + 2*t^5.585 + t^5.69 + t^5.793 - 2*t^6. + t^6.103 + t^6.205 + t^6.207 + t^6.21 + t^6.31 + t^6.413 + 2*t^6.415 + t^6.517 + t^6.52 + 2*t^6.62 + 2*t^6.622 + t^6.723 + t^6.725 + t^6.825 + 4*t^6.828 + 2*t^6.83 + 3*t^6.93 + 2*t^6.932 + 2*t^7.033 + 5*t^7.035 + 2*t^7.138 + 3*t^7.14 + 5*t^7.24 + 4*t^7.242 + 4*t^7.345 + 8*t^7.448 + 2*t^7.45 + 2*t^7.55 + 4*t^7.552 + t^7.653 + 6*t^7.655 + t^7.758 + 2*t^7.76 + 2*t^7.86 + t^7.862 + 3*t^7.965 + 4*t^8.068 - t^8.07 + t^8.172 + t^8.279 + t^8.378 - 2*t^8.38 + t^8.48 - 4*t^8.483 + 2*t^8.485 + t^8.585 + t^8.589 + 3*t^8.688 - t^8.69 + 2*t^8.692 + 2*t^8.793 + t^8.795 + 3*t^8.895 + 3*t^8.897 + 2*t^8.899 + t^8.998 - t^4.345/y - t^6.415/y - t^6.62/y - t^6.725/y - t^6.828/y - t^7.035/y + t^7.345/y + t^7.45/y + (2*t^7.552)/y + (2*t^7.655)/y + (2*t^7.758)/y + t^7.76/y + (3*t^7.862)/y + (3*t^7.965)/y + (3*t^8.07)/y + (3*t^8.172)/y + (2*t^8.275)/y + t^8.378/y + t^8.38/y + (3*t^8.483)/y - t^8.485/y + (2*t^8.585)/y + t^8.793/y - t^8.795/y - t^8.895/y - t^4.345*y - t^6.415*y - t^6.62*y - t^6.725*y - t^6.828*y - t^7.035*y + t^7.345*y + t^7.45*y + 2*t^7.552*y + 2*t^7.655*y + 2*t^7.758*y + t^7.76*y + 3*t^7.862*y + 3*t^7.965*y + 3*t^8.07*y + 3*t^8.172*y + 2*t^8.275*y + t^8.378*y + t^8.38*y + 3*t^8.483*y - t^8.485*y + 2*t^8.585*y + t^8.793*y - t^8.795*y - t^8.895*y | t^2.07/g1^12 + g1^10*t^2.275 + t^2.38/g1^8 + 2*g1^3*t^2.483 + t^2.69/g1^4 + t^3. + g1^11*t^3.103 + g1*t^3.828 + g1^5*t^4.138 + t^4.14/g1^24 + (2*t^4.345)/g1^2 + g1^9*t^4.448 + t^4.45/g1^20 + g1^20*t^4.55 + (2*t^4.552)/g1^9 + g1^2*t^4.655 + 2*g1^13*t^4.758 + (2*t^4.76)/g1^16 + (2*t^4.862)/g1^5 + 5*g1^6*t^4.965 + (2*t^5.07)/g1^12 + (3*t^5.172)/g1 + g1^10*t^5.275 + g1^21*t^5.378 + t^5.38/g1^8 + 2*g1^3*t^5.483 + 2*g1^14*t^5.585 + t^5.69/g1^4 + g1^7*t^5.793 - 2*t^6. + g1^11*t^6.103 + g1^22*t^6.205 + t^6.207/g1^7 + t^6.21/g1^36 + g1^4*t^6.31 + g1^15*t^6.413 + (2*t^6.415)/g1^14 + t^6.517/g1^3 + t^6.52/g1^32 + 2*g1^8*t^6.62 + (2*t^6.622)/g1^21 + g1^19*t^6.723 + t^6.725/g1^10 + g1^30*t^6.825 + 4*g1*t^6.828 + (2*t^6.83)/g1^28 + 3*g1^12*t^6.93 + (2*t^6.932)/g1^17 + 2*g1^23*t^7.033 + (5*t^7.035)/g1^6 + 2*g1^5*t^7.138 + (3*t^7.14)/g1^24 + 5*g1^16*t^7.24 + (4*t^7.242)/g1^13 + (4*t^7.345)/g1^2 + 8*g1^9*t^7.448 + (2*t^7.45)/g1^20 + 2*g1^20*t^7.55 + (4*t^7.552)/g1^9 + g1^31*t^7.653 + 6*g1^2*t^7.655 + g1^13*t^7.758 + (2*t^7.76)/g1^16 + 2*g1^24*t^7.86 + t^7.862/g1^5 + 3*g1^6*t^7.965 + 4*g1^17*t^8.068 - t^8.07/g1^12 + t^8.172/g1 + t^8.279/g1^48 + g1^21*t^8.378 - (2*t^8.38)/g1^8 + g1^32*t^8.48 - 4*g1^3*t^8.483 + (2*t^8.485)/g1^26 + g1^14*t^8.585 + t^8.589/g1^44 + 3*g1^25*t^8.688 - t^8.69/g1^4 + (2*t^8.692)/g1^33 + 2*g1^7*t^8.793 + t^8.795/g1^22 + 3*g1^18*t^8.895 + (3*t^8.897)/g1^11 + (2*t^8.899)/g1^40 + g1^29*t^8.998 - t^4.345/(g1^2*y) - t^6.415/(g1^14*y) - (g1^8*t^6.62)/y - t^6.725/(g1^10*y) - (g1*t^6.828)/y - t^7.035/(g1^6*y) + t^7.345/(g1^2*y) + t^7.45/(g1^20*y) + (2*t^7.552)/(g1^9*y) + (2*g1^2*t^7.655)/y + (2*g1^13*t^7.758)/y + t^7.76/(g1^16*y) + (3*t^7.862)/(g1^5*y) + (3*g1^6*t^7.965)/y + (3*t^8.07)/(g1^12*y) + (3*t^8.172)/(g1*y) + (2*g1^10*t^8.275)/y + (g1^21*t^8.378)/y + t^8.38/(g1^8*y) + (3*g1^3*t^8.483)/y - t^8.485/(g1^26*y) + (2*g1^14*t^8.585)/y + (g1^7*t^8.793)/y - t^8.795/(g1^22*y) - (g1^18*t^8.895)/y - (t^4.345*y)/g1^2 - (t^6.415*y)/g1^14 - g1^8*t^6.62*y - (t^6.725*y)/g1^10 - g1*t^6.828*y - (t^7.035*y)/g1^6 + (t^7.345*y)/g1^2 + (t^7.45*y)/g1^20 + (2*t^7.552*y)/g1^9 + 2*g1^2*t^7.655*y + 2*g1^13*t^7.758*y + (t^7.76*y)/g1^16 + (3*t^7.862*y)/g1^5 + 3*g1^6*t^7.965*y + (3*t^8.07*y)/g1^12 + (3*t^8.172*y)/g1 + 2*g1^10*t^8.275*y + g1^21*t^8.378*y + (t^8.38*y)/g1^8 + 3*g1^3*t^8.483*y - (t^8.485*y)/g1^26 + 2*g1^14*t^8.585*y + g1^7*t^8.793*y - (t^8.795*y)/g1^22 - g1^18*t^8.895*y |
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 |
---|---|---|---|---|---|---|---|---|
6657 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{6}M_{9}$ | 0.6962 | 0.8802 | 0.791 | [X:[1.3877], M:[1.0, 0.7797, 0.6123, 1.1674, 0.8326, 0.7753, 0.6696, 0.8326, 1.2247], q:[0.6101, 0.3899], qb:[0.7775, 0.4427], phi:[0.4449]] | t^2.009 + t^2.339 + 2*t^2.498 + t^2.67 + t^3. + t^3.159 + t^3.674 + t^3.833 + t^4.018 + t^4.163 + t^4.335 + t^4.348 + t^4.493 + 2*t^4.507 + 2*t^4.678 + 2*t^4.837 + 4*t^4.996 + 2*t^5.009 + 3*t^5.167 + t^5.339 + 2*t^5.498 + 2*t^5.656 + t^5.67 + t^5.683 + t^5.828 - 2*t^6. - t^4.335/y - t^4.335*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 |
---|---|---|---|---|---|---|---|---|---|
3156 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6999 | 0.8874 | 0.7887 | [X:[1.3826], M:[1.0, 0.7878, 0.6174, 1.1704, 0.8296, 0.7653, 0.6817], q:[0.6061, 0.3939], qb:[0.7765, 0.4357], phi:[0.4469]] | t^2.045 + t^2.296 + t^2.363 + t^2.489 + t^2.682 + t^3. + t^3.125 + t^3.511 + t^3.83 + t^4.09 + t^4.148 + 2*t^4.341 + t^4.408 + t^4.466 + t^4.534 + t^4.592 + t^4.659 + 2*t^4.727 + t^4.785 + t^4.852 + 3*t^4.977 + 2*t^5.045 + 2*t^5.17 + t^5.296 + t^5.363 + t^5.421 + t^5.489 + t^5.556 + t^5.614 + t^5.682 + 2*t^5.807 + t^5.875 - t^6. - t^4.341/y - t^4.341*y | detail |