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 |
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# | 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 |
---|---|---|---|---|---|---|---|---|---|
1453 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7194 | 0.8926 | 0.806 | [M:[0.8127, 1.0759, 0.9241, 0.9644, 1.0356, 0.9241, 0.853], q:[0.6494, 0.5379], qb:[0.4265, 0.4976], phi:[0.4721]] | [M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4], [8, 8], [16, 0]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -3 | t^2.438 + t^2.559 + 2*t^2.772 + t^2.833 + t^2.893 + t^3.107 + t^3.975 + t^4.189 + t^4.31 + t^4.402 + t^4.523 + 2*t^4.644 + t^4.857 + t^4.876 + t^4.978 + t^4.997 + t^5.118 + 2*t^5.21 + t^5.271 + t^5.313 + 2*t^5.331 + t^5.392 + t^5.452 + 3*t^5.545 + 2*t^5.605 + 2*t^5.666 + t^5.726 + t^5.879 + t^5.939 - 3*t^6. - t^6.121 - 3*t^6.334 + t^6.413 - t^6.455 + t^6.534 + t^6.627 - t^6.669 + 3*t^6.748 + t^6.808 + t^6.84 + 2*t^6.869 + 3*t^6.961 + t^7.022 + 4*t^7.082 + 2*t^7.174 + 2*t^7.203 + t^7.235 + 3*t^7.295 + t^7.314 + 3*t^7.416 + t^7.435 + t^7.477 + t^7.509 + t^7.537 + t^7.556 - t^7.569 + t^7.63 + 2*t^7.648 + t^7.677 + t^7.709 + t^7.751 + 2*t^7.769 - t^7.811 + t^7.83 + 2*t^7.89 + 2*t^7.951 + 3*t^7.983 + t^8.011 - t^8.025 + 2*t^8.043 + 3*t^8.104 + 3*t^8.164 + t^8.225 + 2*t^8.285 + 3*t^8.317 + 4*t^8.377 - t^8.438 - t^8.48 + 3*t^8.498 - 4*t^8.559 + t^8.591 + 2*t^8.62 - t^8.68 + 2*t^8.712 - 8*t^8.772 + t^8.804 - t^8.833 + t^8.851 - 8*t^8.893 + t^8.925 + t^8.954 + t^8.972 - t^8.986 - t^4.416/y - t^6.854/y - t^6.975/y - t^7.189/y - t^7.249/y + t^7.584/y + t^7.644/y + t^7.857/y + t^7.978/y + t^7.997/y + (2*t^8.21)/y + t^8.271/y + (3*t^8.331)/y + t^8.392/y + t^8.452/y + (2*t^8.545)/y + (2*t^8.605)/y + (3*t^8.666)/y + t^8.726/y + (2*t^8.879)/y + t^8.939/y - t^4.416*y - t^6.854*y - t^6.975*y - t^7.189*y - t^7.249*y + t^7.584*y + t^7.644*y + t^7.857*y + t^7.978*y + t^7.997*y + 2*t^8.21*y + t^8.271*y + 3*t^8.331*y + t^8.392*y + t^8.452*y + 2*t^8.545*y + 2*t^8.605*y + 3*t^8.666*y + t^8.726*y + 2*t^8.879*y + t^8.939*y | g1^20*g2^12*t^2.438 + g1^16*t^2.559 + 2*g1^8*g2^8*t^2.772 + g1^6*g2^2*t^2.833 + (g1^4*t^2.893)/g2^4 + (g2^4*t^3.107)/g1^4 + g1^19*g2*t^3.975 + g1^11*g2^9*t^4.189 + (g1^7*t^4.31)/g2^3 + g1^3*g2^17*t^4.402 + (g2^5*t^4.523)/g1 + (2*t^4.644)/(g1^5*g2^7) + (g2*t^4.857)/g1^13 + g1^40*g2^24*t^4.876 + t^4.978/(g1^17*g2^11) + g1^36*g2^12*t^4.997 + g1^32*t^5.118 + 2*g1^28*g2^20*t^5.21 + g1^26*g2^14*t^5.271 + t^5.313/(g1^29*g2^15) + 2*g1^24*g2^8*t^5.331 + g1^22*g2^2*t^5.392 + (g1^20*t^5.452)/g2^4 + 3*g1^16*g2^16*t^5.545 + 2*g1^14*g2^10*t^5.605 + 2*g1^12*g2^4*t^5.666 + (g1^10*t^5.726)/g2^2 + g1^4*g2^12*t^5.879 + g1^2*g2^6*t^5.939 - 3*t^6. - t^6.121/(g1^4*g2^12) - (3*t^6.334)/(g1^12*g2^4) + g1^39*g2^13*t^6.413 - t^6.455/(g1^16*g2^16) + g1^35*g2*t^6.534 + g1^31*g2^21*t^6.627 - t^6.669/(g1^24*g2^8) + 3*g1^27*g2^9*t^6.748 + g1^25*g2^3*t^6.808 + g1^23*g2^29*t^6.84 + (2*g1^23*t^6.869)/g2^3 + 3*g1^19*g2^17*t^6.961 + g1^17*g2^11*t^7.022 + 4*g1^15*g2^5*t^7.082 + 2*g1^11*g2^25*t^7.174 + (2*g1^11*t^7.203)/g2^7 + g1^9*g2^19*t^7.235 + 3*g1^7*g2^13*t^7.295 + g1^60*g2^36*t^7.314 + 3*g1^3*g2*t^7.416 + g1^56*g2^24*t^7.435 + (g1*t^7.477)/g2^5 + (g2^21*t^7.509)/g1 + t^7.537/(g1*g2^11) + g1^52*g2^12*t^7.556 - (g2^15*t^7.569)/g1^3 + (g2^9*t^7.63)/g1^5 + 2*g1^48*g2^32*t^7.648 + g1^48*t^7.677 + g1^46*g2^26*t^7.709 + t^7.751/(g1^9*g2^3) + 2*g1^44*g2^20*t^7.769 - t^7.811/(g1^11*g2^9) + g1^42*g2^14*t^7.83 + 2*g1^40*g2^8*t^7.89 + 2*g1^38*g2^2*t^7.951 + 3*g1^36*g2^28*t^7.983 + (g1^36*t^8.011)/g2^4 - t^8.025/(g1^19*g2) + 2*g1^34*g2^22*t^8.043 + 3*g1^32*g2^16*t^8.104 + 3*g1^30*g2^10*t^8.164 + g1^28*g2^4*t^8.225 + (2*g1^26*t^8.285)/g2^2 + 3*g1^24*g2^24*t^8.317 + 4*g1^22*g2^18*t^8.377 - g1^20*g2^12*t^8.438 - t^8.48/(g1^35*g2^17) + 3*g1^18*g2^6*t^8.498 - 4*g1^16*t^8.559 + g1^14*g2^26*t^8.591 + (2*g1^14*t^8.62)/g2^6 - (g1^12*t^8.68)/g2^12 + 2*g1^10*g2^14*t^8.712 - 8*g1^8*g2^8*t^8.772 + g1^6*g2^34*t^8.804 - g1^6*g2^2*t^8.833 + g1^59*g2^25*t^8.851 - (8*g1^4*t^8.893)/g2^4 + g1^2*g2^22*t^8.925 + (g1^2*t^8.954)/g2^10 + g1^55*g2^13*t^8.972 - g2^16*t^8.986 - (g1^3*g2*t^4.416)/y - (g1^23*g2^13*t^6.854)/y - (g1^19*g2*t^6.975)/y - (g1^11*g2^9*t^7.189)/y - (g1^9*g2^3*t^7.249)/y + t^7.584/(g1^3*g2*y) + t^7.644/(g1^5*g2^7*y) + (g2*t^7.857)/(g1^13*y) + t^7.978/(g1^17*g2^11*y) + (g1^36*g2^12*t^7.997)/y + (2*g1^28*g2^20*t^8.21)/y + (g1^26*g2^14*t^8.271)/y + (3*g1^24*g2^8*t^8.331)/y + (g1^22*g2^2*t^8.392)/y + (g1^20*t^8.452)/(g2^4*y) + (2*g1^16*g2^16*t^8.545)/y + (2*g1^14*g2^10*t^8.605)/y + (3*g1^12*g2^4*t^8.666)/y + (g1^10*t^8.726)/(g2^2*y) + (2*g1^4*g2^12*t^8.879)/y + (g1^2*g2^6*t^8.939)/y - g1^3*g2*t^4.416*y - g1^23*g2^13*t^6.854*y - g1^19*g2*t^6.975*y - g1^11*g2^9*t^7.189*y - g1^9*g2^3*t^7.249*y + (t^7.584*y)/(g1^3*g2) + (t^7.644*y)/(g1^5*g2^7) + (g2*t^7.857*y)/g1^13 + (t^7.978*y)/(g1^17*g2^11) + g1^36*g2^12*t^7.997*y + 2*g1^28*g2^20*t^8.21*y + g1^26*g2^14*t^8.271*y + 3*g1^24*g2^8*t^8.331*y + g1^22*g2^2*t^8.392*y + (g1^20*t^8.452*y)/g2^4 + 2*g1^16*g2^16*t^8.545*y + 2*g1^14*g2^10*t^8.605*y + 3*g1^12*g2^4*t^8.666*y + (g1^10*t^8.726*y)/g2^2 + 2*g1^4*g2^12*t^8.879*y + g1^2*g2^6*t^8.939*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 |
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# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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2539 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.641 | 0.8022 | 0.7991 | [M:[1.0001, 0.8947, 1.1053, 0.7895, 1.2105, 1.1053, 0.6843], q:[0.5526, 0.4474], qb:[0.3421, 0.7632], phi:[0.4737]] | t^2.053 + t^2.368 + t^2.842 + t^3. + 2*t^3.316 + t^3.474 + t^3.632 + t^3.79 + 2*t^4.105 + t^4.106 + 2*t^4.421 + 2*t^4.737 + t^4.895 + t^5.053 + t^5.211 + 2*t^5.369 + t^5.527 + 2*t^5.684 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*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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# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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No data available in table |
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 |
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# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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942 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.7087 | 0.8731 | 0.8117 | [M:[0.841, 1.076, 0.924, 0.9929, 1.0071, 0.924], q:[0.6211, 0.538], qb:[0.4549, 0.4692], phi:[0.4792]] | t^2.523 + 2*t^2.772 + t^2.875 + t^2.979 + t^3.021 + t^3.271 + t^4.167 + t^4.21 + t^4.253 + t^4.416 + t^4.459 + 2*t^4.666 + t^4.708 + t^4.915 + t^5.046 + t^5.164 + 2*t^5.295 + t^5.398 + 3*t^5.544 + 2*t^5.648 + t^5.751 + 2*t^5.794 + t^5.854 + t^5.897 - 3*t^6. - t^4.438/y - t^4.438*y | detail |