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 |
---|---|---|---|---|---|---|---|---|---|
348 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6916 | 0.8641 | 0.8004 | [M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | [M:[[12, 12], [-4, -4], [7, 11], [-2, -10]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 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 |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$ | ${}$ | -2 | t^2.051 + t^2.079 + t^2.684 + t^2.909 + t^2.986 + t^3.316 + t^3.619 + t^3.723 + t^4.026 + t^4.103 + 2*t^4.131 + t^4.158 + t^4.251 + t^4.356 + t^4.581 + t^4.735 + t^4.763 + t^4.96 + t^4.988 + t^5.038 + t^5.065 + 2*t^5.368 + t^5.395 + t^5.593 + t^5.67 + t^5.698 + t^5.803 + t^5.818 + t^5.972 - 2*t^6. + t^6.077 + t^6.154 + 2*t^6.182 + 2*t^6.21 + t^6.238 + 2*t^6.302 + t^6.407 + t^6.435 + t^6.528 + t^6.605 + t^6.632 + t^6.66 + t^6.71 + t^6.787 + 2*t^6.814 + t^6.842 + t^6.935 + t^7.012 + 2*t^7.04 + t^7.067 + t^7.089 + t^7.117 + t^7.144 + t^7.16 + t^7.265 + 2*t^7.419 + 2*t^7.447 + t^7.475 + t^7.49 + t^7.644 + t^7.721 + 2*t^7.749 + t^7.777 + t^7.854 + t^7.869 + t^7.882 + t^7.897 + t^8.024 - 2*t^8.079 + t^8.129 + t^8.156 + t^8.206 + 2*t^8.233 + 3*t^8.261 + 2*t^8.289 + t^8.317 + 2*t^8.354 + t^8.381 + 2*t^8.486 + t^8.502 + t^8.514 + t^8.607 + t^8.656 - t^8.684 + 2*t^8.712 + t^8.727 + t^8.739 + t^8.761 + t^8.832 + t^8.838 + 2*t^8.866 + 2*t^8.894 - 3*t^8.909 + t^8.921 + t^8.937 + t^8.958 - t^8.986 - t^4.342/y - t^6.393/y - t^6.421/y + t^7.131/y - t^7.328/y + t^7.356/y + t^7.735/y + t^7.763/y + t^7.96/y + t^7.988/y + t^8.038/y + t^8.065/y + t^8.263/y + t^8.29/y + t^8.368/y + t^8.395/y - t^8.445/y - t^8.472/y - t^8.5/y + t^8.593/y + (2*t^8.67)/y + t^8.698/y + t^8.775/y + t^8.803/y + t^8.895/y - t^4.342*y - t^6.393*y - t^6.421*y + t^7.131*y - t^7.328*y + t^7.356*y + t^7.735*y + t^7.763*y + t^7.96*y + t^7.988*y + t^8.038*y + t^8.065*y + t^8.263*y + t^8.29*y + t^8.368*y + t^8.395*y - t^8.445*y - t^8.472*y - t^8.5*y + t^8.593*y + 2*t^8.67*y + t^8.698*y + t^8.775*y + t^8.803*y + t^8.895*y | g1^12*g2^12*t^2.051 + t^2.079/(g1^2*g2^10) + g1^4*g2^4*t^2.684 + t^2.909/(g1^11*g2^7) + g1^7*g2^11*t^2.986 + t^3.316/(g1^4*g2^4) + (g2^3*t^3.619)/g1 + (g1^3*t^3.723)/g2 + g1^6*g2^6*t^4.026 + g1^24*g2^24*t^4.103 + 2*g1^10*g2^2*t^4.131 + t^4.158/(g1^4*g2^20) + t^4.251/(g1^9*g2^5) + t^4.356/(g1^5*g2^9) + t^4.581/(g1^20*g2^20) + g1^16*g2^16*t^4.735 + (g1^2*t^4.763)/g2^6 + g1*g2^5*t^4.96 + t^4.988/(g1^13*g2^17) + g1^19*g2^23*t^5.038 + g1^5*g2*t^5.065 + 2*g1^8*g2^8*t^5.368 + t^5.395/(g1^6*g2^14) + t^5.593/(g1^7*g2^3) + g1^11*g2^15*t^5.67 + t^5.698/(g1^3*g2^7) + (g1*t^5.803)/g2^11 + t^5.818/(g1^22*g2^14) + g1^14*g2^22*t^5.972 - 2*t^6. + g1^18*g2^18*t^6.077 + g1^36*g2^36*t^6.154 + 2*g1^22*g2^14*t^6.182 + (2*g1^8*t^6.21)/g2^8 + t^6.238/(g1^6*g2^30) + 2*g1^3*g2^7*t^6.302 + g1^7*g2^3*t^6.407 + t^6.435/(g1^7*g2^19) + t^6.528/(g1^12*g2^4) + g1^6*g2^14*t^6.605 + t^6.632/(g1^8*g2^8) + t^6.66/(g1^22*g2^30) + g1^10*g2^10*t^6.71 + g1^28*g2^28*t^6.787 + 2*g1^14*g2^6*t^6.814 + t^6.842/g2^16 + t^6.935/(g1^5*g2) + g1^13*g2^17*t^7.012 + (2*t^7.04)/(g1*g2^5) + t^7.067/(g1^15*g2^27) + g1^31*g2^35*t^7.089 + g1^17*g2^13*t^7.117 + (g1^3*t^7.144)/g2^9 + t^7.16/(g1^20*g2^12) + t^7.265/(g1^16*g2^16) + 2*g1^20*g2^20*t^7.419 + (2*g1^6*t^7.447)/g2^2 + t^7.475/(g1^8*g2^24) + t^7.49/(g1^31*g2^27) + g1^5*g2^9*t^7.644 + g1^23*g2^27*t^7.721 + 2*g1^9*g2^5*t^7.749 + t^7.777/(g1^5*g2^17) + g1^13*g2*t^7.854 + t^7.869/(g1^10*g2^2) + t^7.882/(g1*g2^21) + t^7.897/(g1^24*g2^24) + g1^26*g2^34*t^8.024 - (2*t^8.079)/(g1^2*g2^10) + g1^30*g2^30*t^8.129 + g1^16*g2^8*t^8.156 + g1^48*g2^48*t^8.206 + 2*g1^34*g2^26*t^8.233 + 3*g1^20*g2^4*t^8.261 + (2*g1^6*t^8.289)/g2^18 + t^8.317/(g1^8*g2^40) + 2*g1^15*g2^19*t^8.354 + (g1*t^8.381)/g2^3 + (2*g1^5*t^8.486)/g2^7 + t^8.502/(g1^18*g2^10) + t^8.514/(g1^9*g2^29) + t^8.607/(g1^14*g2^14) + g1^18*g2^26*t^8.656 - g1^4*g2^4*t^8.684 + (2*t^8.712)/(g1^10*g2^18) + t^8.727/(g1^33*g2^21) + t^8.739/(g1^24*g2^40) + g1^22*g2^22*t^8.761 + t^8.832/(g1^29*g2^25) + g1^40*g2^40*t^8.838 + 2*g1^26*g2^18*t^8.866 + (2*g1^12*t^8.894)/g2^4 - (3*t^8.909)/(g1^11*g2^7) + t^8.921/(g1^2*g2^26) + t^8.937/(g1^25*g2^29) + g1^21*g2^33*t^8.958 - g1^7*g2^11*t^8.986 - (g1^2*g2^2*t^4.342)/y - (g1^14*g2^14*t^6.393)/y - t^6.421/(g2^8*y) + (g1^10*g2^2*t^7.131)/y - (g1^9*g2^13*t^7.328)/y + t^7.356/(g1^5*g2^9*y) + (g1^16*g2^16*t^7.735)/y + (g1^2*t^7.763)/(g2^6*y) + (g1*g2^5*t^7.96)/y + t^7.988/(g1^13*g2^17*y) + (g1^19*g2^23*t^8.038)/y + (g1^5*g2*t^8.065)/y + (g1^4*g2^12*t^8.263)/y + t^8.29/(g1^10*g2^10*y) + (g1^8*g2^8*t^8.368)/y + t^8.395/(g1^6*g2^14*y) - (g1^26*g2^26*t^8.445)/y - (g1^12*g2^4*t^8.472)/y - t^8.5/(g1^2*g2^18*y) + t^8.593/(g1^7*g2^3*y) + (2*g1^11*g2^15*t^8.67)/y + t^8.698/(g1^3*g2^7*y) + (g1^15*g2^11*t^8.775)/y + (g1*t^8.803)/(g2^11*y) + (g2^4*t^8.895)/(g1^4*y) - g1^2*g2^2*t^4.342*y - g1^14*g2^14*t^6.393*y - (t^6.421*y)/g2^8 + g1^10*g2^2*t^7.131*y - g1^9*g2^13*t^7.328*y + (t^7.356*y)/(g1^5*g2^9) + g1^16*g2^16*t^7.735*y + (g1^2*t^7.763*y)/g2^6 + g1*g2^5*t^7.96*y + (t^7.988*y)/(g1^13*g2^17) + g1^19*g2^23*t^8.038*y + g1^5*g2*t^8.065*y + g1^4*g2^12*t^8.263*y + (t^8.29*y)/(g1^10*g2^10) + g1^8*g2^8*t^8.368*y + (t^8.395*y)/(g1^6*g2^14) - g1^26*g2^26*t^8.445*y - g1^12*g2^4*t^8.472*y - (t^8.5*y)/(g1^2*g2^18) + (t^8.593*y)/(g1^7*g2^3) + 2*g1^11*g2^15*t^8.67*y + (t^8.698*y)/(g1^3*g2^7) + g1^15*g2^11*t^8.775*y + (g1*t^8.803*y)/g2^11 + (g2^4*t^8.895*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
551 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.7014 | 0.8808 | 0.7963 | [M:[0.6704, 1.1099, 0.9866, 0.6972, 0.8901], q:[0.7775, 0.5521], qb:[0.4613, 0.4288], phi:[0.4451]] | t^2.011 + t^2.092 + 2*t^2.67 + t^2.943 + t^2.96 + t^3.619 + t^3.716 + t^4.006 + t^4.023 + 2*t^4.103 + t^4.183 + t^4.278 + t^4.375 + t^4.648 + 2*t^4.682 + 2*t^4.762 + t^4.954 + t^4.971 + t^5.035 + t^5.052 + 3*t^5.341 + 2*t^5.613 + 2*t^5.63 + t^5.711 + t^5.808 + t^5.886 + t^5.92 - 3*t^6. - t^4.335/y - t^4.335*y | detail | |
553 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.5854 | 0.7449 | 0.7859 | [M:[0.6895, 1.1035, 0.793, 1.1035], q:[0.7759, 0.5346], qb:[0.6724, 0.2241], phi:[0.4483]] | t^2.069 + t^2.276 + t^2.379 + t^2.69 + t^3. + 2*t^3.31 + t^3.621 + t^4.034 + t^4.137 + 2*t^4.345 + t^4.448 + 2*t^4.552 + 2*t^4.758 + 2*t^4.966 + t^5.069 + t^5.276 + 5*t^5.379 + t^5.587 + 3*t^5.69 + t^5.897 - t^6. - t^4.345/y - t^4.345*y | detail | |
1813 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8614 | 0.8014 | [M:[0.6811, 1.1063, 0.9718, 0.7375], q:[0.7766, 0.5423], qb:[0.4859, 0.4078], phi:[0.4469]] | t^2.043 + t^2.213 + t^2.681 + t^2.85 + t^2.915 + t^3.319 + t^3.553 + t^3.787 + t^4.022 + t^4.087 + t^4.191 + 2*t^4.256 + 2*t^4.425 + t^4.594 + t^4.725 + 2*t^4.894 + t^4.959 + t^5.063 + t^5.128 + 2*t^5.362 + 2*t^5.531 + t^5.597 + t^5.701 + t^5.766 + t^5.831 - t^6. - t^4.341/y - t^4.341*y | detail | |
549 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.346 + t^2.436 + t^2.616 + t^3.384 + t^3.474 + t^3.564 + t^3.654 + t^3.744 + t^3.924 + t^4.602 + 2*t^4.692 + 2*t^4.872 + t^4.962 + t^5.231 + 3*t^5.82 + t^5.91 - t^6. - t^4.218/y - t^4.218*y | detail | |
552 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6823 | 0.8482 | 0.8043 | [M:[0.6974, 1.1009, 1.0043, 0.6888, 1.1009], q:[0.7752, 0.5274], qb:[0.4683, 0.4308], phi:[0.4496]] | t^2.066 + t^2.092 + t^2.875 + t^3.013 + 2*t^3.303 + t^3.618 + t^3.731 + t^4.046 + t^4.133 + 2*t^4.159 + t^4.184 + t^4.223 + t^4.336 + t^4.513 + t^4.941 + t^4.967 + t^5.079 + t^5.105 + 2*t^5.369 + 2*t^5.395 + t^5.685 + t^5.749 + t^5.797 - 3*t^6. - t^4.349/y - t^4.349*y | detail | |
1812 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7088 | 0.8952 | 0.7917 | [M:[0.6835, 1.1055, 1.0045, 0.6745, 0.7845], q:[0.7764, 0.5401], qb:[0.4554, 0.4391], phi:[0.4473]] | t^2.024 + t^2.051 + t^2.354 + t^2.684 + t^2.938 + t^3.014 + t^3.316 + t^3.695 + t^4.025 + t^4.047 + 2*t^4.074 + t^4.101 + t^4.279 + t^4.328 + t^4.377 + t^4.404 + t^4.582 + 2*t^4.707 + t^4.734 + t^4.961 + t^4.988 + 2*t^5.037 + t^5.064 + t^5.291 + t^5.34 + 3*t^5.367 + t^5.621 + t^5.67 + t^5.719 + t^5.875 - 2*t^6. - t^4.342/y - t^4.342*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 |
---|---|---|---|---|---|---|---|---|---|
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 |
---|---|---|---|---|---|---|---|---|---|
219 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 0.6711 | 0.825 | 0.8135 | [M:[0.6804, 1.1065, 0.9852], q:[0.7766, 0.543], qb:[0.4718, 0.4217], phi:[0.4467]] | t^2.041 + t^2.68 + t^2.894 + t^2.956 + t^3.32 + t^3.595 + t^3.745 + t^3.87 + t^4.021 + t^4.082 + t^4.171 + t^4.234 + t^4.384 + t^4.598 + t^4.722 + t^4.935 + t^4.997 + 2*t^5.361 + t^5.574 + t^5.636 + t^5.788 + 2*t^5.911 - 2*t^6. - t^4.34/y - t^4.34*y | detail |