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 |
---|---|---|---|---|---|---|---|---|---|
58203 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7091 | 0.9219 | 0.7692 | [M:[0.8651, 1.1894, 1.1349, 0.7562, 0.8106, 0.8106, 0.703, 0.7574], q:[0.3781, 0.7568], qb:[0.4325, 0.487], phi:[0.4864]] | [M:[[14], [10], [-14], [-34], [-10], [-10], [16], [40]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | t^2.109 + t^2.269 + t^2.272 + 2*t^2.432 + t^2.595 + t^2.759 + t^2.918 + t^3.405 + 2*t^4.054 + 2*t^4.218 + t^4.377 + 2*t^4.381 + t^4.537 + 3*t^4.541 + t^4.545 + 2*t^4.701 + 3*t^4.704 + 4*t^4.864 + 2*t^4.868 + 4*t^5.027 + t^5.031 + t^5.187 + 4*t^5.191 + 2*t^5.35 + t^5.354 + 2*t^5.514 + t^5.517 + 2*t^5.677 + t^5.837 - 2*t^6. + 2*t^6.323 + 3*t^6.327 + 4*t^6.486 + 3*t^6.49 + t^6.646 + 6*t^6.65 + 2*t^6.653 + t^6.806 + 2*t^6.809 + 8*t^6.813 + t^6.817 + 2*t^6.969 + 6*t^6.973 + 6*t^6.976 + 3*t^7.132 + 6*t^7.136 + 3*t^7.14 + 5*t^7.296 + 7*t^7.299 + t^7.303 + t^7.455 + 7*t^7.459 + 4*t^7.463 + 2*t^7.619 + 7*t^7.623 + 2*t^7.626 + 3*t^7.782 + 5*t^7.786 + t^7.79 + 2*t^7.946 + 4*t^7.949 - t^8.105 + 2*t^8.109 + t^8.113 - 2*t^8.269 - t^8.272 + t^8.276 - 6*t^8.432 + 4*t^8.436 + t^8.592 - 2*t^8.595 + 5*t^8.599 + 3*t^8.755 + 2*t^8.759 + 4*t^8.762 + t^8.915 + 4*t^8.918 + 8*t^8.922 + 2*t^8.926 - t^4.459/y - t^6.568/y - t^6.728/y - t^6.731/y - t^6.891/y + t^7.381/y + (4*t^7.541)/y + (2*t^7.701)/y + (3*t^7.704)/y + (2*t^7.864)/y + (2*t^7.868)/y + (5*t^8.027)/y + t^8.031/y + (2*t^8.187)/y + (4*t^8.191)/y + (3*t^8.35)/y + t^8.354/y + (2*t^8.514)/y + t^8.673/y + t^8.677/y + t^8.837/y - t^8.84/y - t^8.996/y - t^4.459*y - t^6.568*y - t^6.728*y - t^6.731*y - t^6.891*y + t^7.381*y + 4*t^7.541*y + 2*t^7.701*y + 3*t^7.704*y + 2*t^7.864*y + 2*t^7.868*y + 5*t^8.027*y + t^8.031*y + 2*t^8.187*y + 4*t^8.191*y + 3*t^8.35*y + t^8.354*y + 2*t^8.514*y + t^8.673*y + t^8.677*y + t^8.837*y - t^8.84*y - t^8.996*y | g1^16*t^2.109 + t^2.269/g1^34 + g1^40*t^2.272 + (2*t^2.432)/g1^10 + g1^14*t^2.595 + g1^38*t^2.759 + t^2.918/g1^12 + t^3.405/g1^14 + 2*g1^8*t^4.054 + 2*g1^32*t^4.218 + t^4.377/g1^18 + 2*g1^56*t^4.381 + t^4.537/g1^68 + 3*g1^6*t^4.541 + g1^80*t^4.545 + (2*t^4.701)/g1^44 + 3*g1^30*t^4.704 + (4*t^4.864)/g1^20 + 2*g1^54*t^4.868 + 4*g1^4*t^5.027 + g1^78*t^5.031 + t^5.187/g1^46 + 4*g1^28*t^5.191 + (2*t^5.35)/g1^22 + g1^52*t^5.354 + 2*g1^2*t^5.514 + g1^76*t^5.517 + 2*g1^26*t^5.677 + t^5.837/g1^24 - 2*t^6. + (2*t^6.323)/g1^26 + 3*g1^48*t^6.327 + (4*t^6.486)/g1^2 + 3*g1^72*t^6.49 + t^6.646/g1^52 + 6*g1^22*t^6.65 + 2*g1^96*t^6.653 + t^6.806/g1^102 + (2*t^6.809)/g1^28 + 8*g1^46*t^6.813 + g1^120*t^6.817 + (2*t^6.969)/g1^78 + (6*t^6.973)/g1^4 + 6*g1^70*t^6.976 + (3*t^7.132)/g1^54 + 6*g1^20*t^7.136 + 3*g1^94*t^7.14 + (5*t^7.296)/g1^30 + 7*g1^44*t^7.299 + g1^118*t^7.303 + t^7.455/g1^80 + (7*t^7.459)/g1^6 + 4*g1^68*t^7.463 + (2*t^7.619)/g1^56 + 7*g1^18*t^7.623 + 2*g1^92*t^7.626 + (3*t^7.782)/g1^32 + 5*g1^42*t^7.786 + g1^116*t^7.79 + (2*t^7.946)/g1^8 + 4*g1^66*t^7.949 - t^8.105/g1^58 + 2*g1^16*t^8.109 + g1^90*t^8.113 - (2*t^8.269)/g1^34 - g1^40*t^8.272 + g1^114*t^8.276 - (6*t^8.432)/g1^10 + 4*g1^64*t^8.436 + t^8.592/g1^60 - 2*g1^14*t^8.595 + 5*g1^88*t^8.599 + (3*t^8.755)/g1^36 + 2*g1^38*t^8.759 + 4*g1^112*t^8.762 + t^8.915/g1^86 + (4*t^8.918)/g1^12 + 8*g1^62*t^8.922 + 2*g1^136*t^8.926 - t^4.459/(g1^6*y) - (g1^10*t^6.568)/y - t^6.728/(g1^40*y) - (g1^34*t^6.731)/y - t^6.891/(g1^16*y) + (g1^56*t^7.381)/y + (4*g1^6*t^7.541)/y + (2*t^7.701)/(g1^44*y) + (3*g1^30*t^7.704)/y + (2*t^7.864)/(g1^20*y) + (2*g1^54*t^7.868)/y + (5*g1^4*t^8.027)/y + (g1^78*t^8.031)/y + (2*t^8.187)/(g1^46*y) + (4*g1^28*t^8.191)/y + (3*t^8.35)/(g1^22*y) + (g1^52*t^8.354)/y + (2*g1^2*t^8.514)/y + t^8.673/(g1^48*y) + (g1^26*t^8.677)/y + t^8.837/(g1^24*y) - (g1^50*t^8.84)/y - t^8.996/(g1^74*y) - (t^4.459*y)/g1^6 - g1^10*t^6.568*y - (t^6.728*y)/g1^40 - g1^34*t^6.731*y - (t^6.891*y)/g1^16 + g1^56*t^7.381*y + 4*g1^6*t^7.541*y + (2*t^7.701*y)/g1^44 + 3*g1^30*t^7.704*y + (2*t^7.864*y)/g1^20 + 2*g1^54*t^7.868*y + 5*g1^4*t^8.027*y + g1^78*t^8.031*y + (2*t^8.187*y)/g1^46 + 4*g1^28*t^8.191*y + (3*t^8.35*y)/g1^22 + g1^52*t^8.354*y + 2*g1^2*t^8.514*y + (t^8.673*y)/g1^48 + g1^26*t^8.677*y + (t^8.837*y)/g1^24 - g1^50*t^8.84*y - (t^8.996*y)/g1^74 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
56069 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6909 | 0.8885 | 0.7776 | [M:[0.8731, 1.1951, 1.1269, 0.7368, 0.8049, 0.8049, 0.7121], q:[0.3684, 0.7585], qb:[0.4365, 0.5047], phi:[0.483]] | t^2.136 + t^2.21 + 2*t^2.415 + t^2.619 + t^2.824 + t^2.898 + t^3.381 + t^3.659 + 2*t^4.068 + 2*t^4.273 + t^4.347 + t^4.421 + t^4.477 + 2*t^4.551 + 2*t^4.625 + t^4.756 + 4*t^4.83 + t^4.96 + 4*t^5.034 + t^5.108 + 3*t^5.238 + 2*t^5.313 + t^5.443 + 2*t^5.517 + t^5.647 + t^5.721 + 2*t^5.796 + t^5.87 - 2*t^6. - t^4.449/y - t^4.449*y | detail |