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 |
---|---|---|---|---|---|---|---|---|---|
1801 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6449 | 0.848 | 0.7605 | [M:[0.9839, 1.0482, 0.7351, 0.7569, 0.7672], q:[0.746, 0.2701], qb:[0.4868, 0.465], phi:[0.508]] | [M:[[4, 4], [-12, -12], [-5, 7], [7, -5], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.205 + 2*t^2.271 + t^2.302 + t^2.952 + t^3.048 + 2*t^3.145 + t^3.633 + t^4.314 + t^4.38 + 3*t^4.41 + t^4.445 + 4*t^4.476 + 2*t^4.507 + 3*t^4.541 + 2*t^4.572 + t^4.603 + 2*t^5.157 + 2*t^5.223 + 3*t^5.253 + 2*t^5.319 + 4*t^5.35 + 3*t^5.415 + 2*t^5.446 + 2*t^5.838 + 2*t^5.904 - 3*t^6. - t^6.066 + t^6.096 + 2*t^6.193 + 3*t^6.289 + 2*t^6.519 + 3*t^6.585 + 5*t^6.616 + 2*t^6.65 + 6*t^6.681 + 3*t^6.712 + 2*t^6.716 + 5*t^6.747 + 4*t^6.777 + 2*t^6.808 + 4*t^6.812 + t^6.843 + t^6.874 + t^6.905 - t^6.939 + t^7.266 + 3*t^7.362 + 2*t^7.428 + 5*t^7.459 + 3*t^7.493 + 4*t^7.524 + 7*t^7.555 + 3*t^7.59 + 6*t^7.62 + 4*t^7.651 + 4*t^7.686 + 3*t^7.717 + 2*t^7.748 + t^7.947 + 3*t^8.043 + t^8.109 - 6*t^8.205 - 8*t^8.271 - 2*t^8.302 - 2*t^8.336 + 4*t^8.398 + 3*t^8.463 + 6*t^8.494 + 4*t^8.56 + 3*t^8.591 + t^8.628 + t^8.694 + 3*t^8.724 + t^8.759 + 5*t^8.79 + 7*t^8.821 + t^8.825 + 4*t^8.855 + 8*t^8.886 + t^8.89 + 5*t^8.917 + 3*t^8.921 + 2*t^8.952 + 5*t^8.983 + 3*t^8.987 - t^4.524/y - t^6.729/y - t^6.795/y - t^6.826/y + t^7.38/y + t^7.41/y + (4*t^7.476)/y + (2*t^7.507)/y + t^7.541/y + (2*t^7.572)/y - t^7.669/y + (2*t^8.157)/y + (3*t^8.223)/y + (4*t^8.253)/y + (3*t^8.319)/y + (5*t^8.35)/y + (4*t^8.415)/y + (2*t^8.446)/y + (2*t^8.838)/y + (2*t^8.904)/y - t^4.524*y - t^6.729*y - t^6.795*y - t^6.826*y + t^7.38*y + t^7.41*y + 4*t^7.476*y + 2*t^7.507*y + t^7.541*y + 2*t^7.572*y - t^7.669*y + 2*t^8.157*y + 3*t^8.223*y + 4*t^8.253*y + 3*t^8.319*y + 5*t^8.35*y + 4*t^8.415*y + 2*t^8.446*y + 2*t^8.838*y + 2*t^8.904*y | (2*g2^7*t^2.205)/g1^5 + (2*g1^7*t^2.271)/g2^5 + t^2.302/(g1^13*g2) + g1^4*g2^4*t^2.952 + t^3.048/(g1^4*g2^4) + (2*t^3.145)/(g1^12*g2^12) + g1*g2^13*t^3.633 + (g2^22*t^4.314)/g1^2 + g1^10*g2^10*t^4.38 + (3*g2^14*t^4.41)/g1^10 + (g1^22*t^4.445)/g2^2 + 4*g1^2*g2^2*t^4.476 + (2*g2^6*t^4.507)/g1^18 + (3*g1^14*t^4.541)/g2^10 + (2*t^4.572)/(g1^6*g2^6) + t^4.603/(g1^26*g2^2) + (2*g2^11*t^5.157)/g1 + (2*g1^11*t^5.223)/g2 + (3*g2^3*t^5.253)/g1^9 + (2*g1^3*t^5.319)/g2^9 + (4*t^5.35)/(g1^17*g2^5) + (3*t^5.415)/(g1^5*g2^17) + (2*t^5.446)/(g1^25*g2^13) + (2*g2^20*t^5.838)/g1^4 + 2*g1^8*g2^8*t^5.904 - 3*t^6. - (g1^12*t^6.066)/g2^12 + t^6.096/(g1^8*g2^8) + (2*t^6.193)/(g1^16*g2^16) + (3*t^6.289)/(g1^24*g2^24) + (2*g2^29*t^6.519)/g1^7 + 3*g1^5*g2^17*t^6.585 + (5*g2^21*t^6.616)/g1^15 + 2*g1^17*g2^5*t^6.65 + (6*g2^9*t^6.681)/g1^3 + (3*g2^13*t^6.712)/g1^23 + (2*g1^29*t^6.716)/g2^7 + (5*g1^9*t^6.747)/g2^3 + (4*g2*t^6.777)/g1^11 + (2*g2^5*t^6.808)/g1^31 + (4*g1^21*t^6.812)/g2^15 + (g1*t^6.843)/g2^11 + t^6.874/(g1^19*g2^7) + t^6.905/(g1^39*g2^3) - t^6.939/(g1^7*g2^19) + g1^2*g2^26*t^7.266 + (3*g2^18*t^7.362)/g1^6 + 2*g1^6*g2^6*t^7.428 + (5*g2^10*t^7.459)/g1^14 + (3*g1^18*t^7.493)/g2^6 + (4*t^7.524)/(g1^2*g2^2) + (7*g2^2*t^7.555)/g1^22 + (3*g1^10*t^7.59)/g2^14 + (6*t^7.62)/(g1^10*g2^10) + (4*t^7.651)/(g1^30*g2^6) + (4*g1^2*t^7.686)/g2^22 + (3*t^7.717)/(g1^18*g2^18) + (2*t^7.748)/(g1^38*g2^14) + (g2^35*t^7.947)/g1 + (3*g2^27*t^8.043)/g1^9 + g1^3*g2^15*t^8.109 - (6*g2^7*t^8.205)/g1^5 - (8*g1^7*t^8.271)/g2^5 - (2*t^8.302)/(g1^13*g2) - (2*g1^19*t^8.336)/g2^17 + (4*t^8.398)/(g1^21*g2^9) + (3*t^8.463)/(g1^9*g2^21) + (6*t^8.494)/(g1^29*g2^17) + (4*t^8.56)/(g1^17*g2^29) + (3*t^8.591)/(g1^37*g2^25) + (g2^44*t^8.628)/g1^4 + g1^8*g2^32*t^8.694 + (3*g2^36*t^8.724)/g1^12 + g1^20*g2^20*t^8.759 + 5*g2^24*t^8.79 + (7*g2^28*t^8.821)/g1^20 + g1^32*g2^8*t^8.825 + 4*g1^12*g2^12*t^8.855 + (8*g2^16*t^8.886)/g1^8 + (g1^44*t^8.89)/g2^4 + (5*g2^20*t^8.917)/g1^28 + 3*g1^24*t^8.921 + 2*g1^4*g2^4*t^8.952 + (5*g2^8*t^8.983)/g1^16 + (3*g1^36*t^8.987)/g2^12 - t^4.524/(g1^2*g2^2*y) - (g2^5*t^6.729)/(g1^7*y) - (g1^5*t^6.795)/(g2^7*y) - t^6.826/(g1^15*g2^3*y) + (g1^10*g2^10*t^7.38)/y + (g2^14*t^7.41)/(g1^10*y) + (4*g1^2*g2^2*t^7.476)/y + (2*g2^6*t^7.507)/(g1^18*y) + (g1^14*t^7.541)/(g2^10*y) + (2*t^7.572)/(g1^6*g2^6*y) - t^7.669/(g1^14*g2^14*y) + (2*g2^11*t^8.157)/(g1*y) + (3*g1^11*t^8.223)/(g2*y) + (4*g2^3*t^8.253)/(g1^9*y) + (3*g1^3*t^8.319)/(g2^9*y) + (5*t^8.35)/(g1^17*g2^5*y) + (4*t^8.415)/(g1^5*g2^17*y) + (2*t^8.446)/(g1^25*g2^13*y) + (2*g2^20*t^8.838)/(g1^4*y) + (2*g1^8*g2^8*t^8.904)/y - (t^4.524*y)/(g1^2*g2^2) - (g2^5*t^6.729*y)/g1^7 - (g1^5*t^6.795*y)/g2^7 - (t^6.826*y)/(g1^15*g2^3) + g1^10*g2^10*t^7.38*y + (g2^14*t^7.41*y)/g1^10 + 4*g1^2*g2^2*t^7.476*y + (2*g2^6*t^7.507*y)/g1^18 + (g1^14*t^7.541*y)/g2^10 + (2*t^7.572*y)/(g1^6*g2^6) - (t^7.669*y)/(g1^14*g2^14) + (2*g2^11*t^8.157*y)/g1 + (3*g1^11*t^8.223*y)/g2 + (4*g2^3*t^8.253*y)/g1^9 + (3*g1^3*t^8.319*y)/g2^9 + (5*t^8.35*y)/(g1^17*g2^5) + (4*t^8.415*y)/(g1^5*g2^17) + (2*t^8.446*y)/(g1^25*g2^13) + (2*g2^20*t^8.838*y)/g1^4 + 2*g1^8*g2^8*t^8.904*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 |
---|---|---|---|---|---|---|---|---|
2816 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6627 | 0.88 | 0.7531 | [M:[0.9908, 1.0276, 0.7477, 0.7477, 0.7661, 0.7661], q:[0.7477, 0.2615], qb:[0.4862, 0.4862], phi:[0.5046]] | 4*t^2.243 + 2*t^2.298 + t^2.972 + t^3.028 + 2*t^3.083 + 3*t^4.431 + 10*t^4.486 + 8*t^4.541 + 3*t^4.597 + 4*t^5.216 + 6*t^5.271 + 8*t^5.326 + 4*t^5.381 - 5*t^6. - t^4.514/y - t^4.514*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 |
---|---|---|---|---|---|---|---|---|---|
357 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6272 | 0.8162 | 0.7685 | [M:[0.9767, 1.0698, 0.7442, 0.7442], q:[0.7442, 0.2791], qb:[0.4651, 0.4651], phi:[0.5116]] | 4*t^2.233 + t^2.93 + t^3.07 + 2*t^3.209 + 2*t^3.628 + 3*t^4.325 + 10*t^4.465 + 4*t^5.163 + 4*t^5.302 + 6*t^5.442 + 8*t^5.86 - 5*t^6. - t^4.535/y - t^4.535*y | detail |