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 |
---|---|---|---|---|---|---|---|---|---|
1332 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6961 | 0.8501 | 0.8189 | [M:[1.0244, 1.0244, 0.9267, 0.9756, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5122, 0.5611], phi:[0.4878]] | [M:[[8, 0], [-2, 2], [-4, -4], [12, -4], [-8, 0], [-12, 4], [8, 0]], q:[[-16, 4], [8, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$ | ${}M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$ | -1 | t^2.78 + t^2.927 + 4*t^3.073 + t^3.22 + t^4.243 + 2*t^4.39 + 4*t^4.537 + 2*t^4.683 + t^4.83 + t^5.56 + t^5.853 - t^6. + 6*t^6.147 + 3*t^6.293 + t^6.44 + t^7.024 + 2*t^7.17 + 4*t^7.317 + 4*t^7.463 + 8*t^7.61 + 6*t^7.757 + 4*t^7.903 + t^8.05 + t^8.34 + t^8.487 + 3*t^8.634 - t^8.78 - t^8.927 - t^4.463/y - t^7.243/y + t^7.39/y - t^7.537/y + t^7.683/y + t^8.707/y + (4*t^8.853)/y - t^4.463*y - t^7.243*y + t^7.39*y - t^7.537*y + t^7.683*y + t^8.707*y + 4*t^8.853*y | t^2.78/(g1^4*g2^4) + (g1^12*t^2.927)/g2^4 + 2*g1^8*t^3.073 + (g2^2*t^3.073)/g1^2 + (g2^4*t^3.073)/g1^12 + (g2^8*t^3.22)/g1^16 + (g1^17*t^4.243)/g2^9 + (g1^13*t^4.39)/g2^5 + t^4.39/(g1^7*g2) + (2*g1^9*t^4.537)/g2 + (g2^3*t^4.537)/g1^11 + (g2^7*t^4.537)/g1^31 + g1^5*g2^3*t^4.683 + (g2^7*t^4.683)/g1^15 + g1*g2^7*t^4.83 + t^5.56/(g1^8*g2^8) + t^5.853/(g1^6*g2^2) - 3*t^6. + (g1^20*t^6.)/g2^4 + (g1^10*t^6.)/g2^2 + 2*g1^16*t^6.147 + 2*g1^6*g2^2*t^6.147 + (g2^4*t^6.147)/g1^4 + (g2^6*t^6.147)/g1^14 + (g2^8*t^6.293)/g1^8 + (g2^10*t^6.293)/g1^18 + (g2^12*t^6.293)/g1^28 + (g2^16*t^6.44)/g1^32 + (g1^13*t^7.024)/g2^13 + (g1^29*t^7.17)/g2^13 + t^7.17/(g1^11*g2^5) + (2*g1^25*t^7.317)/g2^9 + (g1^5*t^7.317)/g2^5 + (g2^3*t^7.317)/g1^35 + (2*g1^21*t^7.463)/g2^5 + (g1*t^7.463)/g2 + (g2^3*t^7.463)/g1^19 + (3*g1^17*t^7.61)/g2 + (2*g2^3*t^7.61)/g1^3 + (2*g2^7*t^7.61)/g1^23 + (g2^11*t^7.61)/g1^43 + 2*g1^13*g2^3*t^7.757 + (2*g2^7*t^7.757)/g1^7 + (g2^11*t^7.757)/g1^27 + (g2^15*t^7.757)/g1^47 + 2*g1^9*g2^7*t^7.903 + (g2^11*t^7.903)/g1^11 + (g2^15*t^7.903)/g1^31 + (g2^15*t^8.05)/g1^15 + t^8.34/(g1^12*g2^12) + (g1^34*t^8.487)/g2^18 + (g1^30*t^8.634)/g2^14 - (g1^20*t^8.634)/g2^12 + (g1^10*t^8.634)/g2^10 + t^8.634/g2^8 + t^8.634/(g1^10*g2^6) + (2*g1^26*t^8.78)/g2^10 - (2*g1^16*t^8.78)/g2^8 + (g1^6*t^8.78)/g2^6 - (3*t^8.78)/(g1^4*g2^4) + t^8.78/(g1^14*g2^2) - (2*t^8.927)/g1^8 + (2*g1^22*t^8.927)/g2^6 - (4*g1^12*t^8.927)/g2^4 + (2*g1^2*t^8.927)/g2^2 + (g2^2*t^8.927)/g1^18 - (g2^4*t^8.927)/g1^28 + (g2^6*t^8.927)/g1^38 - (g1*t^4.463)/(g2*y) - t^7.243/(g1^3*g2^5*y) + t^7.39/(g1^7*g2*y) - (g1^9*t^7.537)/(g2*y) + (g1^5*g2^3*t^7.683)/y + (g1^8*t^8.707)/(g2^8*y) + t^8.853/(g1^16*y) + (2*g1^4*t^8.853)/(g2^4*y) + t^8.853/(g1^6*g2^2*y) - (g1*t^4.463*y)/g2 - (t^7.243*y)/(g1^3*g2^5) + (t^7.39*y)/(g1^7*g2) - (g1^9*t^7.537*y)/g2 + g1^5*g2^3*t^7.683*y + (g1^8*t^8.707*y)/g2^8 + (t^8.853*y)/g1^16 + (2*g1^4*t^8.853*y)/g2^4 + (t^8.853*y)/(g1^6*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
2375 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6376 | 0.7908 | 0.8063 | [M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | t^2.418 + 2*t^2.615 + t^3.099 + t^3.187 + t^3.582 + t^3.671 + t^3.78 + t^3.868 + 2*t^4.066 + t^4.263 + t^4.461 + t^4.835 + 2*t^5.033 + 3*t^5.23 + t^5.516 + 2*t^5.714 - 2*t^6. - t^4.451/y - t^4.451*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 |
---|---|---|---|---|---|---|---|---|---|
837 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ | 0.6995 | 0.856 | 0.8172 | [M:[1.0482, 1.0302, 0.8913, 0.9877, 0.9518, 1.0123], q:[0.4881, 0.4636], qb:[0.5241, 0.5846], phi:[0.4849]] | t^2.674 + t^2.855 + t^2.963 + t^3.037 + t^3.091 + t^3.145 + t^3.218 + t^4.236 + t^4.31 + t^4.383 + t^4.418 + t^4.491 + 2*t^4.599 + t^4.673 + t^4.781 + t^4.962 + t^5.348 + t^5.529 + t^5.711 + t^5.765 + t^5.892 + t^5.946 - 2*t^6. - t^4.455/y - t^4.455*y | detail |