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 |
---|---|---|---|---|---|---|---|---|---|
48307 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ | 0.6637 | 0.8211 | 0.8083 | [M:[1.168, 1.0146, 0.832, 0.7862, 0.7178, 1.2138], q:[0.3931, 0.4389], qb:[0.5922, 0.7749], phi:[0.4502]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -5], [-2, 16]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.153 + t^2.496 + t^2.701 + t^3.044 + t^3.093 + t^3.504 + t^3.641 + t^3.709 + t^3.984 + t^4.101 + 2*t^4.307 + t^4.444 + t^4.649 + t^4.855 + t^4.904 + t^4.992 + 2*t^5.197 + t^5.247 + t^5.589 + t^5.657 + t^5.745 + 2*t^5.795 - 2*t^6. + t^6.088 + 2*t^6.137 + t^6.187 + t^6.205 + t^6.255 + t^6.411 + t^6.46 + t^6.48 + t^6.597 + 2*t^6.685 + t^6.735 + 2*t^6.803 - t^6.891 + t^7.008 + t^7.028 + t^7.057 + t^7.077 + 2*t^7.145 + t^7.195 + t^7.351 + 2*t^7.4 + t^7.419 + t^7.488 + t^7.537 + t^7.605 + t^7.625 + t^7.693 + t^7.743 + t^7.811 + t^7.899 + 2*t^7.948 + t^7.968 + t^7.997 + t^8.016 + 2*t^8.085 - 3*t^8.153 + t^8.241 + 2*t^8.291 + t^8.34 + 2*t^8.408 + t^8.428 + t^8.447 - 2*t^8.496 + t^8.545 + 2*t^8.613 + t^8.633 + t^8.683 - 2*t^8.701 + t^8.789 + 2*t^8.839 + 3*t^8.888 + t^8.976 - t^4.351/y - t^6.504/y - t^7.052/y + t^7.307/y - t^7.395/y + (2*t^7.649)/y + t^7.855/y + (3*t^8.197)/y + t^8.247/y + t^8.54/y + t^8.589/y + t^8.745/y + (2*t^8.795)/y + t^8.863/y - t^4.351*y - t^6.504*y - t^7.052*y + t^7.307*y - t^7.395*y + 2*t^7.649*y + t^7.855*y + 3*t^8.197*y + t^8.247*y + t^8.54*y + t^8.589*y + t^8.745*y + 2*t^8.795*y + t^8.863*y | (g1*t^2.153)/g2^5 + (g2^7*t^2.496)/g1 + t^2.701/g2^4 + (g2^8*t^3.044)/g1^2 + (g2^15*t^3.093)/g1 + (g1*t^3.504)/g2^7 + (g2^16*t^3.641)/g1^2 + (g1^2*t^3.709)/g2^18 + (g2^28*t^3.984)/g1^4 + g1*g2*t^4.101 + (2*g1^2*t^4.307)/g2^10 + (g2^13*t^4.444)/g1 + g2^2*t^4.649 + (g1*t^4.855)/g2^9 + (g1^2*t^4.904)/g2^2 + (g2^14*t^4.992)/g1^2 + (2*g2^3*t^5.197)/g1 + g2^10*t^5.247 + (g2^22*t^5.589)/g1^2 + (g1^2*t^5.657)/g2^12 + (g2^4*t^5.745)/g1^2 + (2*g2^11*t^5.795)/g1 - 2*t^6. + (g2^16*t^6.088)/g1^4 + (2*g2^23*t^6.137)/g1^3 + (g2^30*t^6.187)/g1^2 + (g1*t^6.205)/g2^11 + (g1^2*t^6.255)/g2^4 + (g1^2*t^6.411)/g2^22 + (g1^3*t^6.46)/g2^15 + (g2^35*t^6.48)/g1^5 + g2^8*t^6.597 + (2*g2^24*t^6.685)/g1^4 + (g2^31*t^6.735)/g1^3 + (2*g1*t^6.803)/g2^3 - (g2^13*t^6.891)/g1^3 + (g1^2*t^7.008)/g2^14 + (g2^36*t^7.028)/g1^6 + (g1^3*t^7.057)/g2^7 + (g2^43*t^7.077)/g1^5 + (2*g2^9*t^7.145)/g1 + g2^16*t^7.195 + t^7.351/g2^2 + 2*g1*g2^5*t^7.4 + (g1^4*t^7.419)/g2^36 + (g2^21*t^7.488)/g1^3 + (g2^28*t^7.537)/g1^2 + (g1^2*t^7.605)/g2^6 + (g2^44*t^7.625)/g1^6 + (g2^10*t^7.693)/g1^2 + (g2^17*t^7.743)/g1 + (g1^3*t^7.811)/g2^17 + t^7.899/(g1*g2) + 2*g2^6*t^7.948 + (g2^56*t^7.968)/g1^8 + g1*g2^13*t^7.997 + (g1^4*t^8.016)/g2^28 + (2*g2^29*t^8.085)/g1^3 - (3*g1*t^8.153)/g2^5 + (g2^11*t^8.241)/g1^3 + (2*g2^18*t^8.291)/g1^2 + (g2^25*t^8.34)/g1 + (2*g1^3*t^8.408)/g2^9 + (g2^41*t^8.428)/g1^5 + t^8.447/g1^2 - (2*g2^7*t^8.496)/g1 + g2^14*t^8.545 + (2*g1^4*t^8.613)/g2^20 + (g2^30*t^8.633)/g1^4 + (g2^37*t^8.683)/g1^3 - (2*t^8.701)/g2^4 + (g2^12*t^8.789)/g1^4 + (2*g2^19*t^8.839)/g1^3 + (3*g2^26*t^8.888)/g1^2 + (g2^42*t^8.976)/g1^6 - t^4.351/(g2^2*y) - (g1*t^6.504)/(g2^7*y) - t^7.052/(g2^6*y) + (g1^2*t^7.307)/(g2^10*y) - (g2^6*t^7.395)/(g1^2*y) + (2*g2^2*t^7.649)/y + (g1*t^7.855)/(g2^9*y) + (3*g2^3*t^8.197)/(g1*y) + (g2^10*t^8.247)/y + (g2^15*t^8.54)/(g1^3*y) + (g2^22*t^8.589)/(g1^2*y) + (g2^4*t^8.745)/(g1^2*y) + (2*g2^11*t^8.795)/(g1*y) + (g1^3*t^8.863)/(g2^23*y) - (t^4.351*y)/g2^2 - (g1*t^6.504*y)/g2^7 - (t^7.052*y)/g2^6 + (g1^2*t^7.307*y)/g2^10 - (g2^6*t^7.395*y)/g1^2 + 2*g2^2*t^7.649*y + (g1*t^7.855*y)/g2^9 + (3*g2^3*t^8.197*y)/g1 + g2^10*t^8.247*y + (g2^15*t^8.54*y)/g1^3 + (g2^22*t^8.589*y)/g1^2 + (g2^4*t^8.745*y)/g1^2 + (2*g2^11*t^8.795*y)/g1 + (g1^3*t^8.863*y)/g2^23 |
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 |
---|---|---|---|---|---|---|---|---|
56006 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6845 | 0.8625 | 0.7936 | [M:[1.1674, 1.0156, 0.8326, 0.785, 0.7173, 1.215, 0.6696], q:[0.3925, 0.4401], qb:[0.5919, 0.7749], phi:[0.4502]] | t^2.009 + t^2.152 + t^2.498 + t^2.701 + t^3.047 + t^3.096 + t^3.502 + t^3.645 + t^3.705 + t^4.018 + t^4.1 + t^4.161 + 2*t^4.304 + t^4.446 + t^4.507 + t^4.65 + t^4.71 + t^4.853 + t^4.902 + t^4.996 + t^5.056 + t^5.105 + 2*t^5.199 + t^5.248 + t^5.511 + t^5.594 + 2*t^5.654 + t^5.714 + t^5.748 + 2*t^5.797 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
56005 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ + ${ }\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.4367 | 0.512 | 0.8529 | [X:[1.5066, 1.3974], M:[1.2053, 0.4934, 0.7947, 0.7119, 0.904, 1.2881], q:[0.3559, 0.4388], qb:[1.1507, 0.8493], phi:[0.3013]] | t^2.384 + t^2.712 + t^3.04 + t^3.537 + t^4.192 + t^4.768 + t^5.096 + 2*t^5.424 + t^5.921 - 2*t^6. - t^3.904/y - t^3.904*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 |
---|---|---|---|---|---|---|---|---|---|
46708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail |