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 |
---|---|---|---|---|---|---|---|---|---|
1576 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6945 | 0.8529 | 0.8143 | [M:[1.0485, 0.9399, 1.0058, 0.9826, 1.0174, 0.9515, 1.0058], q:[0.4815, 0.4699], qb:[0.5127, 0.5474], phi:[0.4971]] | [M:[[16, 8], [-12, -12], [-2, 2], [6, -6], [-6, 6], [-16, -8], [-2, 2]], q:[[-10, -2], [-6, -6]], qb:[[12, 0], [0, 12]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$ | ${}$ | -3 | t^2.82 + t^2.854 + t^2.948 + 2*t^3.017 + t^3.052 + t^3.087 + t^4.311 + t^4.346 + t^4.38 + t^4.439 + t^4.474 + t^4.543 + t^4.567 + t^4.578 + t^4.672 + t^4.776 + t^5.639 + t^5.674 + t^5.709 + 2*t^5.837 + 2*t^5.872 + t^5.907 + t^5.941 + t^5.965 - 3*t^6. + 2*t^6.035 + 2*t^6.07 - t^6.093 + 2*t^6.104 - t^6.128 + t^6.139 + t^6.174 - t^6.198 - t^6.233 + t^7.131 + 2*t^7.165 + 2*t^7.2 + t^7.235 + t^7.259 + t^7.294 + 2*t^7.328 + 2*t^7.363 + t^7.387 + 3*t^7.398 + t^7.422 + 2*t^7.433 + t^7.467 + t^7.515 + t^7.561 + 2*t^7.596 + 2*t^7.63 + t^7.665 + t^7.793 + t^7.828 + t^7.863 + t^8.459 + t^8.494 + t^8.528 + t^8.563 + 3*t^8.657 + 3*t^8.691 + 3*t^8.726 + t^8.75 + 2*t^8.761 + t^8.796 - 4*t^8.82 - t^8.854 + t^8.878 + 2*t^8.889 + 3*t^8.924 - 3*t^8.948 + 3*t^8.959 + t^8.993 - t^4.491/y - t^7.311/y + t^7.474/y - t^7.509/y + t^7.672/y + t^8.674/y + t^8.767/y + t^8.802/y + (2*t^8.837)/y + (3*t^8.872)/y + (2*t^8.907)/y + t^8.941/y + (2*t^8.965)/y - t^4.491*y - t^7.311*y + t^7.474*y - t^7.509*y + t^7.672*y + t^8.674*y + t^8.767*y + t^8.802*y + 2*t^8.837*y + 3*t^8.872*y + 2*t^8.907*y + t^8.941*y + 2*t^8.965*y | t^2.82/(g1^12*g2^12) + t^2.854/(g1^16*g2^8) + (g1^6*t^2.948)/g2^6 + (2*g2^2*t^3.017)/g1^2 + (g2^6*t^3.052)/g1^6 + (g2^10*t^3.087)/g1^10 + t^4.311/(g1^11*g2^13) + t^4.346/(g1^15*g2^9) + t^4.38/(g1^19*g2^5) + (g1^7*t^4.439)/g2^7 + (g1^3*t^4.474)/g2^3 + (g2^5*t^4.543)/g1^5 + (g1^25*t^4.567)/g2 + (g2^9*t^4.578)/g1^9 + g1^13*g2^11*t^4.672 + g1*g2^23*t^4.776 + t^5.639/(g1^24*g2^24) + t^5.674/(g1^28*g2^20) + t^5.709/(g1^32*g2^16) + (2*t^5.837)/(g1^14*g2^10) + (2*t^5.872)/(g1^18*g2^6) + t^5.907/(g1^22*g2^2) + (g2^2*t^5.941)/g1^26 + (g1^4*t^5.965)/g2^4 - 3*t^6. + (2*g2^4*t^6.035)/g1^4 + (2*g2^8*t^6.07)/g1^8 - g1^22*g2^2*t^6.093 + (2*g2^12*t^6.104)/g1^12 - g1^18*g2^6*t^6.128 + (g2^16*t^6.139)/g1^16 + (g2^20*t^6.174)/g1^20 - g1^10*g2^14*t^6.198 - g1^6*g2^18*t^6.233 + t^7.131/(g1^23*g2^25) + (2*t^7.165)/(g1^27*g2^21) + (2*t^7.2)/(g1^31*g2^17) + t^7.235/(g1^35*g2^13) + t^7.259/(g1^5*g2^19) + t^7.294/(g1^9*g2^15) + (2*t^7.328)/(g1^13*g2^11) + (2*t^7.363)/(g1^17*g2^7) + (g1^13*t^7.387)/g2^13 + (3*t^7.398)/(g1^21*g2^3) + (g1^9*t^7.422)/g2^9 + (2*g2*t^7.433)/g1^25 + (g2^5*t^7.467)/g1^29 + (g1^31*t^7.515)/g2^7 + (g2^7*t^7.561)/g1^7 + (2*g2^11*t^7.596)/g1^11 + (2*g2^15*t^7.63)/g1^15 + (g2^19*t^7.665)/g1^19 + (g2^25*t^7.793)/g1 + (g2^29*t^7.828)/g1^5 + (g2^33*t^7.863)/g1^9 + t^8.459/(g1^36*g2^36) + t^8.494/(g1^40*g2^32) + t^8.528/(g1^44*g2^28) + t^8.563/(g1^48*g2^24) + (3*t^8.657)/(g1^26*g2^22) + (3*t^8.691)/(g1^30*g2^18) + (3*t^8.726)/(g1^34*g2^14) + t^8.75/(g1^4*g2^20) + (2*t^8.761)/(g1^38*g2^10) + t^8.796/(g1^42*g2^6) - (4*t^8.82)/(g1^12*g2^12) - t^8.854/(g1^16*g2^8) + (g1^14*t^8.878)/g2^14 + (2*t^8.889)/(g1^20*g2^4) + (3*t^8.924)/g1^24 - (3*g1^6*t^8.948)/g2^6 + (3*g2^4*t^8.959)/g1^28 + (g2^8*t^8.993)/g1^32 - (g1*t^4.491)/(g2*y) - t^7.311/(g1^11*g2^13*y) + (g1^3*t^7.474)/(g2^3*y) - (g2*t^7.509)/(g1*y) + (g1^13*g2^11*t^7.672)/y + t^8.674/(g1^28*g2^20*y) + t^8.767/(g1^6*g2^18*y) + t^8.802/(g1^10*g2^14*y) + (2*t^8.837)/(g1^14*g2^10*y) + (3*t^8.872)/(g1^18*g2^6*y) + (2*t^8.907)/(g1^22*g2^2*y) + (g2^2*t^8.941)/(g1^26*y) + (2*g1^4*t^8.965)/(g2^4*y) - (g1*t^4.491*y)/g2 - (t^7.311*y)/(g1^11*g2^13) + (g1^3*t^7.474*y)/g2^3 - (g2*t^7.509*y)/g1 + g1^13*g2^11*t^7.672*y + (t^8.674*y)/(g1^28*g2^20) + (t^8.767*y)/(g1^6*g2^18) + (t^8.802*y)/(g1^10*g2^14) + (2*t^8.837*y)/(g1^14*g2^10) + (3*t^8.872*y)/(g1^18*g2^6) + (2*t^8.907*y)/(g1^22*g2^2) + (g2^2*t^8.941*y)/g1^26 + (2*g1^4*t^8.965*y)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
2693 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6167 | 0.7982 | 0.7726 | [M:[1.2836, 0.8125, 0.9519, 1.1442, 0.8558, 0.7164, 0.9519], q:[0.3101, 0.4063], qb:[0.738, 0.4495], phi:[0.524]] | t^2.149 + t^2.279 + t^2.438 + t^2.567 + 2*t^2.856 + 2*t^3.433 + t^3.721 + t^3.851 + t^4.01 + t^4.139 + t^4.269 + t^4.298 + t^4.428 + t^4.558 + t^4.587 + 2*t^4.716 + t^4.846 + t^4.875 + 3*t^5.005 + 3*t^5.135 + 2*t^5.293 + 2*t^5.423 + t^5.582 + 3*t^5.712 + 2*t^5.87 - t^4.572/y - t^4.572*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 |
---|---|---|---|---|---|---|---|---|---|
998 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6952 | 0.8535 | 0.8145 | [M:[1.0461, 0.9368, 1.0086, 0.9743, 1.0257, 0.9539], q:[0.4855, 0.4684], qb:[0.5059, 0.5572], phi:[0.4957]] | t^2.81 + t^2.862 + t^2.923 + t^2.974 + t^3.026 + t^3.077 + t^3.128 + t^4.298 + t^4.349 + t^4.4 + t^4.41 + t^4.462 + t^4.523 + t^4.564 + t^4.615 + t^4.677 + t^4.831 + t^5.621 + t^5.672 + t^5.724 + t^5.785 + 2*t^5.836 + t^5.887 + t^5.897 + t^5.939 + t^5.949 + t^5.99 - 2*t^6. - t^4.487/y - t^4.487*y | detail |