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 |
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79538 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{3}S_{1}S_{2}$ | 2.4052 | 2.5266 | 0.952 | [X:[], M:[0.8689, 0.9026, 0.8857], q:[0.5972, 0.7172], qb:[], phi:[], S:[0.5655, 0.5487], Sb:[], A:[], Ab:[]] | [X:[], M:[[-4, 0], [0, -2], [-2, -1]], q:[[-11, -6], [-1, 0]], qb:[], phi:[], S:[[2, 0], [0, 1]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }M_{1}M_{3}$, ${ }q_{1}^{2}S_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}S_{2}$ | ${}$ | -2 | t^2.607 + t^2.657 + t^2.708 + t^3.943 + t^5.213 + t^5.229 + t^5.264 + t^5.28 + 2*t^5.314 + t^5.365 + t^5.415 + t^5.589 - 2*t^6. - t^6.051 - t^6.36 + t^6.55 + t^6.585 + t^6.601 + t^6.635 + t^6.651 + 2*t^6.686 + t^6.736 + t^6.787 + t^6.926 + t^7.236 + t^7.286 - t^7.646 - t^7.697 + t^7.82 + t^7.836 + t^7.871 + 2*t^7.887 + 2*t^7.921 + t^7.937 + 2*t^7.972 + t^7.988 - t^8.006 + 2*t^8.022 + t^8.073 + t^8.123 + t^8.196 + t^8.417 + t^8.522 + 2*t^8.572 - 3*t^8.607 + 2*t^8.623 - 3*t^8.657 + t^8.673 - 3*t^8.708 - t^8.758 + t^8.882 + 2*t^8.932 - t^8.967 + t^8.983 - t^4.646/y - t^4.697/y - t^7.253/y - t^7.303/y - t^7.354/y - t^7.404/y - t^7.938/y - t^7.989/y - t^8.039/y - t^8.09/y + t^8.264/y + t^8.314/y + t^8.365/y - t^8.589/y - t^8.64/y - t^4.646*y - t^4.697*y - t^7.253*y - t^7.303*y - t^7.354*y - t^7.404*y - t^7.938*y - t^7.989*y - t^8.039*y - t^8.09*y + t^8.264*y + t^8.314*y + t^8.365*y - t^8.589*y - t^8.64*y | t^2.607/g1^4 + t^2.657/(g1^2*g2) + t^2.708/g2^2 + t^3.943/(g1^12*g2^6) + t^5.213/g1^8 + t^5.229/(g1^22*g2^11) + t^5.264/(g1^6*g2) + t^5.28/(g1^20*g2^12) + (2*t^5.314)/(g1^4*g2^2) + t^5.365/(g1^2*g2^3) + t^5.415/g2^4 + t^5.589/(g1^12*g2^5) - 2*t^6. - (g1^2*t^6.051)/g2 - g1^10*g2^6*t^6.36 + t^6.55/(g1^16*g2^6) + g2^4*t^6.585 + t^6.601/(g1^14*g2^7) + g1^2*g2^3*t^6.635 + t^6.651/(g1^12*g2^8) + 2*g1^4*g2^2*t^6.686 + g1^6*g2*t^6.736 + g1^8*t^6.787 + t^6.926/(g1^20*g2^11) + t^7.236/(g1^12*g2^4) + t^7.286/(g1^10*g2^5) - g2*t^7.646 - g1^2*t^7.697 + t^7.82/g1^12 + t^7.836/(g1^26*g2^11) + t^7.871/(g1^10*g2) + (2*t^7.887)/(g1^24*g2^12) + (2*t^7.921)/(g1^8*g2^2) + t^7.937/(g1^22*g2^13) + (2*t^7.972)/(g1^6*g2^3) + t^7.988/(g1^20*g2^14) - g1^10*g2^7*t^8.006 + (2*t^8.022)/(g1^4*g2^4) + t^8.073/(g1^2*g2^5) + t^8.123/g2^6 + t^8.196/(g1^16*g2^5) + g1^22*g2^12*t^8.417 + t^8.522/(g1^22*g2^9) + (2*t^8.572)/(g1^20*g2^10) - (3*t^8.607)/g1^4 + (2*t^8.623)/(g1^18*g2^11) - (3*t^8.657)/(g1^2*g2) + t^8.673/(g1^16*g2^12) - (3*t^8.708)/g2^2 - (g1^2*t^8.758)/g2^3 + t^8.882/(g1^12*g2^3) + (2*t^8.932)/(g1^10*g2^4) - g1^6*g2^6*t^8.967 + t^8.983/(g1^8*g2^5) - (g2*t^4.646)/y - (g1^2*t^4.697)/y - (g2*t^7.253)/(g1^4*y) - t^7.303/(g1^2*y) - t^7.354/(g2*y) - (g1^2*t^7.404)/(g2^2*y) - (g2^3*t^7.938)/y - (g1^2*g2^2*t^7.989)/y - (g1^4*g2*t^8.039)/y - (g1^6*t^8.09)/y + t^8.264/(g1^6*g2*y) + t^8.314/(g1^4*g2^2*y) + t^8.365/(g1^2*g2^3*y) - t^8.589/(g1^12*g2^5*y) - t^8.64/(g1^10*g2^6*y) - g2*t^4.646*y - g1^2*t^4.697*y - (g2*t^7.253*y)/g1^4 - (t^7.303*y)/g1^2 - (t^7.354*y)/g2 - (g1^2*t^7.404*y)/g2^2 - g2^3*t^7.938*y - g1^2*g2^2*t^7.989*y - g1^4*g2*t^8.039*y - g1^6*t^8.09*y + (t^8.264*y)/(g1^6*g2) + (t^8.314*y)/(g1^4*g2^2) + (t^8.365*y)/(g1^2*g2^3) - (t^8.589*y)/(g1^12*g2^5) - (t^8.64*y)/(g1^10*g2^6) |
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 |
---|---|---|---|---|---|---|---|---|
79630 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{3}S_{1}S_{2}$ + ${ }M_{1}M_{3}$ | 2.3109 | 2.4047 | 0.961 | [X:[], M:[1.0883, 0.7352, 0.9117], q:[0.6982, 0.7721], qb:[], phi:[], S:[0.4559, 0.6324], Sb:[], A:[], Ab:[]] | t^2.205 + t^2.735 + t^3.265 + 2*t^4.411 + t^4.941 + 2*t^5.47 + t^5.557 - t^4.368/y - t^4.897/y - t^4.368*y - t^4.897*y | detail | |
79664 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{3}S_{1}S_{2}$ + ${ }q_{1}q_{2}S_{2}$ | 2.3853 | 2.4849 | 0.9599 | [X:[], M:[0.9367, 0.8759, 0.9063], q:[0.7038, 0.7342], qb:[], phi:[], S:[0.5316, 0.562], Sb:[], A:[], Ab:[]] | t^2.628 + t^2.719 + t^2.81 + t^4.314 + t^5.256 + t^5.347 + 2*t^5.438 + t^5.529 + t^5.62 + t^5.818 - t^6. - t^4.595/y - t^4.686/y - t^4.595*y - t^4.686*y | detail | |
79639 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ + ${ }M_{3}S_{1}S_{2}$ + ${ }q_{1}^{2}S_{2}$ | 2.3828 | 2.4794 | 0.961 | [X:[], M:[0.9091, 0.9091, 0.9091], q:[0.7273, 0.7273], qb:[], phi:[], S:[0.5455, 0.5455], Sb:[], A:[], Ab:[]] | 3*t^2.727 + t^4.364 + 6*t^5.455 - t^6. - (2*t^4.636)/y - 2*t^4.636*y | detail | {a: 50745/21296, c: 26401/10648, M1: 10/11, M2: 10/11, M3: 10/11, q1: 8/11, q2: 8/11, S1: 6/11, S2: 6/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
79519 | Sp2s2nf1 | ${}M_{1}S_{1}^{2}$ + ${ }M_{2}S_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.395 | 2.5083 | 0.9548 | [X:[], M:[0.8706, 0.9027], q:[0.6023, 0.7177], qb:[], phi:[], S:[0.5647, 0.5486], Sb:[], A:[], Ab:[]] | t^2.612 + t^2.708 + t^3.34 + t^3.96 + t^5.224 + t^5.26 + t^5.308 + t^5.32 + t^5.416 + t^5.606 + t^5.952 - 2*t^6. - t^4.646/y - t^4.694/y - t^4.646*y - t^4.694*y | detail |