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 |
---|---|---|---|---|---|---|---|---|---|
4615 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6844 | 0.838 | 0.8167 | [M:[1.0844, 0.7469, 0.8673, 0.964, 1.036, 0.7953, 1.2531, 1.0844], q:[0.5422, 0.3735], qb:[0.5906, 0.6625], phi:[0.4578]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-6], [-2]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{8}$ | ${}$ | -2 | t^2.386 + t^2.602 + t^2.892 + t^3.108 + 2*t^3.253 + t^3.614 + t^3.759 + t^4.12 + t^4.265 + t^4.481 + t^4.627 + 2*t^4.772 + t^4.917 + 2*t^4.988 + t^5.204 + t^5.278 + t^5.494 + t^5.639 + t^5.71 + t^5.855 - 2*t^6. + 2*t^6.145 + t^6.216 + 2*t^6.361 + 2*t^6.506 + t^6.651 + t^6.722 + 2*t^6.867 + 2*t^7.012 + t^7.083 + 2*t^7.158 + t^7.228 + t^7.303 + 3*t^7.373 + 2*t^7.519 + 2*t^7.589 + t^7.664 + t^7.735 + t^7.805 + t^7.809 + 2*t^7.88 + 3*t^8.025 + 2*t^8.096 + t^8.17 + 2*t^8.241 + t^8.311 - 2*t^8.386 + 2*t^8.457 + 3*t^8.531 - 2*t^8.602 + t^8.676 + 2*t^8.747 + t^8.818 - t^8.892 + 2*t^8.963 - t^4.373/y - t^6.759/y - t^6.975/y + t^7.12/y - t^7.627/y + t^7.772/y + (2*t^7.988)/y + t^8.278/y + (2*t^8.494)/y + (2*t^8.639)/y + t^8.71/y + (2*t^8.855)/y - t^4.373*y - t^6.759*y - t^6.975*y + t^7.12*y - t^7.627*y + t^7.772*y + 2*t^7.988*y + t^8.278*y + 2*t^8.494*y + 2*t^8.639*y + t^8.71*y + 2*t^8.855*y | t^2.386/g1^7 + g1^15*t^2.602 + t^2.892/g1^11 + g1^11*t^3.108 + (2*t^3.253)/g1^2 + g1^7*t^3.614 + t^3.759/g1^6 + g1^3*t^4.12 + t^4.265/g1^10 + g1^12*t^4.481 + t^4.627/g1 + (2*t^4.772)/g1^14 + t^4.917/g1^27 + 2*g1^8*t^4.988 + g1^30*t^5.204 + t^5.278/g1^18 + g1^4*t^5.494 + t^5.639/g1^9 + g1^26*t^5.71 + g1^13*t^5.855 - 2*t^6. + (2*t^6.145)/g1^13 + g1^22*t^6.216 + 2*g1^9*t^6.361 + (2*t^6.506)/g1^4 + t^6.651/g1^17 + g1^18*t^6.722 + 2*g1^5*t^6.867 + (2*t^7.012)/g1^8 + g1^27*t^7.083 + (2*t^7.158)/g1^21 + g1^14*t^7.228 + t^7.303/g1^34 + 3*g1*t^7.373 + (2*t^7.519)/g1^12 + 2*g1^23*t^7.589 + t^7.664/g1^25 + g1^10*t^7.735 + g1^45*t^7.805 + t^7.809/g1^38 + (2*t^7.88)/g1^3 + (3*t^8.025)/g1^16 + 2*g1^19*t^8.096 + t^8.17/g1^29 + 2*g1^6*t^8.241 + g1^41*t^8.311 - (2*t^8.386)/g1^7 + 2*g1^28*t^8.457 + (3*t^8.531)/g1^20 - 2*g1^15*t^8.602 + t^8.676/g1^33 + 2*g1^2*t^8.747 + g1^37*t^8.818 - t^8.892/g1^11 + 2*g1^24*t^8.963 - (g1*t^4.373)/y - t^6.759/(g1^6*y) - (g1^16*t^6.975)/y + (g1^3*t^7.12)/y - t^7.627/(g1*y) + t^7.772/(g1^14*y) + (2*g1^8*t^7.988)/y + t^8.278/(g1^18*y) + (2*g1^4*t^8.494)/y + (2*t^8.639)/(g1^9*y) + (g1^26*t^8.71)/y + (2*g1^13*t^8.855)/y - g1*t^4.373*y - (t^6.759*y)/g1^6 - g1^16*t^6.975*y + g1^3*t^7.12*y - (t^7.627*y)/g1 + (t^7.772*y)/g1^14 + 2*g1^8*t^7.988*y + (t^8.278*y)/g1^18 + 2*g1^4*t^8.494*y + (2*t^8.639*y)/g1^9 + g1^26*t^8.71*y + 2*g1^13*t^8.855*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 |
---|---|---|---|---|---|---|---|---|
6164 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{5}M_{9}$ | 0.6889 | 0.8465 | 0.8139 | [M:[1.0798, 0.7606, 0.9015, 0.9389, 1.0611, 0.7793, 1.2394, 1.0798, 0.9389], q:[0.5399, 0.3803], qb:[0.5586, 0.6808], phi:[0.4601]] | t^2.338 + t^2.705 + 2*t^2.817 + 2*t^3.239 + t^3.662 + t^3.718 + t^4.141 + t^4.197 + t^4.564 + t^4.62 + 2*t^4.676 + t^4.732 + 2*t^5.042 + 2*t^5.154 + t^5.409 + t^5.521 + t^5.577 + 2*t^5.633 + t^5.944 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
6165 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7014 | 0.8682 | 0.8078 | [M:[1.0826, 0.7523, 0.8808, 0.9541, 1.0459, 0.7889, 1.2477, 1.0826, 0.7889], q:[0.5413, 0.3762], qb:[0.5779, 0.6698], phi:[0.4587]] | 2*t^2.367 + t^2.642 + t^2.862 + t^3.138 + 2*t^3.248 + t^3.743 + t^4.128 + t^4.238 + t^4.514 + t^4.624 + 4*t^4.734 + t^4.844 + 3*t^5.009 + 2*t^5.229 + t^5.285 + 2*t^5.505 + 3*t^5.615 + t^5.78 + t^5.89 - 3*t^6. - t^4.376/y - t^4.376*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 |
---|---|---|---|---|---|---|---|---|---|
2553 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6922 | 0.8511 | 0.8133 | [M:[1.0852, 0.7445, 0.8612, 0.9685, 1.0315, 0.7981, 1.2555], q:[0.5426, 0.3722], qb:[0.5962, 0.6593], phi:[0.4574]] | t^2.394 + t^2.584 + t^2.744 + t^2.905 + t^3.095 + t^3.256 + t^3.606 + t^3.767 + t^4.117 + t^4.278 + t^4.467 + t^4.628 + 2*t^4.789 + t^4.95 + 2*t^4.978 + t^5.139 + t^5.167 + t^5.3 + t^5.328 + 2*t^5.489 + t^5.65 + t^5.678 + t^5.839 - t^6. - t^4.372/y - t^4.372*y | detail |