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 |
---|---|---|---|---|---|---|---|---|---|
3375 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6726 | 0.8559 | 0.7859 | [X:[1.6134], M:[0.8401, 0.7063, 1.1599, 0.3866, 0.8401, 0.7607, 0.6938], q:[0.4264, 0.7335], qb:[0.4138, 0.8799], phi:[0.3866]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [-2, 9], [-2, 4]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -2 | t^2.081 + t^2.119 + t^2.282 + t^2.32 + 2*t^2.52 + t^3.442 + t^3.643 + t^3.68 + t^4.163 + t^4.2 + t^4.238 + t^4.363 + 2*t^4.401 + t^4.439 + t^4.564 + 3*t^4.602 + 3*t^4.639 + 2*t^4.802 + 3*t^4.84 + 3*t^5.041 + t^5.523 + t^5.561 + 2*t^5.724 + 2*t^5.762 + t^5.925 + 3*t^5.962 - 2*t^6. - t^6.038 + 2*t^6.163 + t^6.201 - t^6.238 + t^6.244 + t^6.282 + t^6.319 + t^6.357 + t^6.445 + 2*t^6.482 + 2*t^6.52 + t^6.558 + t^6.645 + 4*t^6.683 + 4*t^6.721 + 3*t^6.758 + t^6.846 + 4*t^6.884 + 5*t^6.921 + 3*t^6.959 + 3*t^7.084 + 5*t^7.122 + 3*t^7.16 - t^7.198 + t^7.285 + 3*t^7.323 + 2*t^7.361 - 2*t^7.398 + 3*t^7.561 - t^7.599 + t^7.605 + t^7.642 + t^7.68 + 2*t^7.805 + 3*t^7.843 + t^7.881 + 2*t^8.006 + 4*t^8.044 - 4*t^8.119 - t^8.157 + t^8.207 + 5*t^8.244 + t^8.282 - 5*t^8.32 + t^8.325 - 2*t^8.357 + t^8.363 + t^8.401 + t^8.438 + 2*t^8.445 + t^8.476 + 4*t^8.483 - 7*t^8.52 + t^8.526 - 4*t^8.558 + 2*t^8.564 + 2*t^8.601 + 2*t^8.639 + t^8.677 + 3*t^8.683 + t^8.727 - 3*t^8.759 + 4*t^8.764 + 5*t^8.802 + 4*t^8.84 + 3*t^8.878 + t^8.927 + 5*t^8.965 - t^4.16/y - t^6.241/y - t^6.279/y - t^6.442/y - t^6.48/y - t^6.68/y + t^7.2/y + t^7.363/y + (2*t^7.401)/y + t^7.439/y + (3*t^7.602)/y + (3*t^7.639)/y + (2*t^7.802)/y + (3*t^7.84)/y + t^7.878/y + (2*t^8.041)/y + t^8.079/y - t^8.323/y - t^8.36/y - t^8.398/y - t^8.561/y - t^8.599/y + t^8.724/y + t^8.762/y - t^8.799/y + t^8.925/y + (3*t^8.962)/y - t^4.16*y - t^6.241*y - t^6.279*y - t^6.442*y - t^6.48*y - t^6.68*y + t^7.2*y + t^7.363*y + 2*t^7.401*y + t^7.439*y + 3*t^7.602*y + 3*t^7.639*y + 2*t^7.802*y + 3*t^7.84*y + t^7.878*y + 2*t^8.041*y + t^8.079*y - t^8.323*y - t^8.36*y - t^8.398*y - t^8.561*y - t^8.599*y + t^8.724*y + t^8.762*y - t^8.799*y + t^8.925*y + 3*t^8.962*y | (g2^4*t^2.081)/g1^2 + t^2.119/g2^7 + (g2^9*t^2.282)/g1^2 + t^2.32/g2^2 + 2*g2^3*t^2.52 + (g2^8*t^3.442)/g1^2 + (g2^13*t^3.643)/g1^2 + g2^2*t^3.68 + (g2^8*t^4.163)/g1^4 + t^4.2/(g1^2*g2^3) + t^4.238/g2^14 + (g2^13*t^4.363)/g1^4 + (2*g2^2*t^4.401)/g1^2 + t^4.439/g2^9 + (g2^18*t^4.564)/g1^4 + (3*g2^7*t^4.602)/g1^2 + (3*t^4.639)/g2^4 + (2*g2^12*t^4.802)/g1^2 + 3*g2*t^4.84 + 3*g2^6*t^5.041 + (g2^12*t^5.523)/g1^4 + (g2*t^5.561)/g1^2 + (2*g2^17*t^5.724)/g1^4 + (2*g2^6*t^5.762)/g1^2 + (g2^22*t^5.925)/g1^4 + (3*g2^11*t^5.962)/g1^2 - 2*t^6. - (g1^2*t^6.038)/g2^11 + (2*g2^16*t^6.163)/g1^2 + g2^5*t^6.201 - (g1^2*t^6.238)/g2^6 + (g2^12*t^6.244)/g1^6 + (g2*t^6.282)/g1^4 + t^6.319/(g1^2*g2^10) + t^6.357/g2^21 + (g2^17*t^6.445)/g1^6 + (2*g2^6*t^6.482)/g1^4 + (2*t^6.52)/(g1^2*g2^5) + t^6.558/g2^16 + (g2^22*t^6.645)/g1^6 + (4*g2^11*t^6.683)/g1^4 + (4*t^6.721)/g1^2 + (3*t^6.758)/g2^11 + (g2^27*t^6.846)/g1^6 + (4*g2^16*t^6.884)/g1^4 + (5*g2^5*t^6.921)/g1^2 + (3*t^6.959)/g2^6 + (3*g2^21*t^7.084)/g1^4 + (5*g2^10*t^7.122)/g1^2 + (3*t^7.16)/g2 - (g1^2*t^7.198)/g2^12 + (g2^26*t^7.285)/g1^4 + (3*g2^15*t^7.323)/g1^2 + 2*g2^4*t^7.361 - (2*g1^2*t^7.398)/g2^7 + 3*g2^9*t^7.561 - (g1^2*t^7.599)/g2^2 + (g2^16*t^7.605)/g1^6 + (g2^5*t^7.642)/g1^4 + t^7.68/(g1^2*g2^6) + (2*g2^21*t^7.805)/g1^6 + (3*g2^10*t^7.843)/g1^4 + t^7.881/(g1^2*g2) + (2*g2^26*t^8.006)/g1^6 + (4*g2^15*t^8.044)/g1^4 - (4*t^8.119)/g2^7 - (g1^2*t^8.157)/g2^18 + (g2^31*t^8.207)/g1^6 + (5*g2^20*t^8.244)/g1^4 + (g2^9*t^8.282)/g1^2 - (5*t^8.32)/g2^2 + (g2^16*t^8.325)/g1^8 - (2*g1^2*t^8.357)/g2^13 + (g2^5*t^8.363)/g1^6 + t^8.401/(g1^4*g2^6) + t^8.438/(g1^2*g2^17) + (2*g2^25*t^8.445)/g1^4 + t^8.476/g2^28 + (4*g2^14*t^8.483)/g1^2 - 7*g2^3*t^8.52 + (g2^21*t^8.526)/g1^8 - (4*g1^2*t^8.558)/g2^8 + (2*g2^10*t^8.564)/g1^6 + (2*t^8.601)/(g1^4*g2) + (2*t^8.639)/(g1^2*g2^12) + t^8.677/g2^23 + (3*g2^19*t^8.683)/g1^2 + (g2^26*t^8.727)/g1^8 - (3*g1^2*t^8.759)/g2^3 + (4*g2^15*t^8.764)/g1^6 + (5*g2^4*t^8.802)/g1^4 + (4*t^8.84)/(g1^2*g2^7) + (3*t^8.878)/g2^18 + (g2^31*t^8.927)/g1^8 + (5*g2^20*t^8.965)/g1^6 - t^4.16/(g2*y) - (g2^3*t^6.241)/(g1^2*y) - t^6.279/(g2^8*y) - (g2^8*t^6.442)/(g1^2*y) - t^6.48/(g2^3*y) - (g2^2*t^6.68)/y + t^7.2/(g1^2*g2^3*y) + (g2^13*t^7.363)/(g1^4*y) + (2*g2^2*t^7.401)/(g1^2*y) + t^7.439/(g2^9*y) + (3*g2^7*t^7.602)/(g1^2*y) + (3*t^7.639)/(g2^4*y) + (2*g2^12*t^7.802)/(g1^2*y) + (3*g2*t^7.84)/y + (g1^2*t^7.878)/(g2^10*y) + (2*g2^6*t^8.041)/y + (g1^2*t^8.079)/(g2^5*y) - (g2^7*t^8.323)/(g1^4*y) - t^8.36/(g1^2*g2^4*y) - t^8.398/(g2^15*y) - (g2*t^8.561)/(g1^2*y) - t^8.599/(g2^10*y) + (g2^17*t^8.724)/(g1^4*y) + (g2^6*t^8.762)/(g1^2*y) - t^8.799/(g2^5*y) + (g2^22*t^8.925)/(g1^4*y) + (3*g2^11*t^8.962)/(g1^2*y) - (t^4.16*y)/g2 - (g2^3*t^6.241*y)/g1^2 - (t^6.279*y)/g2^8 - (g2^8*t^6.442*y)/g1^2 - (t^6.48*y)/g2^3 - g2^2*t^6.68*y + (t^7.2*y)/(g1^2*g2^3) + (g2^13*t^7.363*y)/g1^4 + (2*g2^2*t^7.401*y)/g1^2 + (t^7.439*y)/g2^9 + (3*g2^7*t^7.602*y)/g1^2 + (3*t^7.639*y)/g2^4 + (2*g2^12*t^7.802*y)/g1^2 + 3*g2*t^7.84*y + (g1^2*t^7.878*y)/g2^10 + 2*g2^6*t^8.041*y + (g1^2*t^8.079*y)/g2^5 - (g2^7*t^8.323*y)/g1^4 - (t^8.36*y)/(g1^2*g2^4) - (t^8.398*y)/g2^15 - (g2*t^8.561*y)/g1^2 - (t^8.599*y)/g2^10 + (g2^17*t^8.724*y)/g1^4 + (g2^6*t^8.762*y)/g1^2 - (t^8.799*y)/g2^5 + (g2^22*t^8.925*y)/g1^4 + (3*g2^11*t^8.962*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
3853 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6036 | 0.7534 | 0.8013 | [X:[1.6046], M:[0.8137, 0.768, 1.1863, 0.3954, 0.8137, 1.0114, 0.9886], q:[0.2966, 0.8897], qb:[0.5171, 0.7149], phi:[0.3954]] | t^2.304 + t^2.373 + 2*t^2.441 + t^2.966 + t^3.034 + t^3.627 + t^4.221 + t^4.289 + t^4.608 + t^4.677 + 3*t^4.745 + 3*t^4.814 + 3*t^4.882 + t^5.27 + t^5.338 + 2*t^5.407 + 2*t^5.475 + t^5.931 - t^6. - t^4.186/y - t^4.186*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 |
---|---|---|---|---|---|---|---|---|---|
2830 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6521 | 0.8157 | 0.7994 | [X:[1.6123], M:[0.8368, 0.7142, 1.1632, 0.3877, 0.8368, 0.7689], q:[0.4217, 0.7415], qb:[0.4151, 0.8707], phi:[0.3877]] | t^2.142 + t^2.307 + t^2.326 + 2*t^2.51 + t^3.47 + t^3.654 + t^3.674 + t^3.877 + t^4.285 + t^4.449 + t^4.469 + t^4.614 + t^4.633 + 3*t^4.653 + 2*t^4.817 + 3*t^4.837 + 3*t^5.021 + t^5.612 + t^5.777 + t^5.796 + t^5.961 + 3*t^5.98 - 2*t^6. - t^4.163/y - t^4.163*y | detail |