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 |
---|---|---|---|---|---|---|---|---|---|
603 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.7071 | 0.865 | 0.8174 | [M:[1.0, 0.8897, 0.9506, 0.9391, 1.0552], q:[0.5523, 0.4477], qb:[0.4971, 0.6132], phi:[0.4724]] | [M:[[0, 0], [-4, -4], [-10, -2], [6, -2], [2, 2]], q:[[6, 2], [-6, -2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{5}$ | ${}$ | -2 | t^2.669 + t^2.817 + t^2.835 + t^2.852 + t^3. + t^3.165 + t^3.496 + t^4.104 + t^4.252 + t^4.4 + t^4.417 + t^4.565 + t^4.6 + t^4.731 + t^4.748 + t^4.914 + t^5.096 + t^5.338 + t^5.486 + t^5.521 + t^5.634 + 3*t^5.669 + t^5.704 + t^5.835 + t^5.983 - 2*t^6. + t^6.017 - t^6.148 + t^6.165 - t^6.183 + t^6.331 + t^6.662 + t^6.773 + t^6.921 + t^6.938 + t^6.955 + t^6.993 + t^7.069 + 2*t^7.086 + t^7.104 + t^7.217 + 2*t^7.235 + t^7.252 + t^7.269 + t^7.383 + 2*t^7.4 + t^7.417 + t^7.452 + t^7.548 + t^7.565 + t^7.583 + t^7.6 + t^7.731 + t^7.765 + t^7.914 + t^7.948 + t^8.007 + t^8.096 + t^8.155 + t^8.19 + t^8.207 + t^8.227 + t^8.304 + 2*t^8.338 + t^8.373 + t^8.41 + t^8.452 + t^8.486 + 2*t^8.504 + 2*t^8.521 + t^8.556 + t^8.593 + t^8.652 - 2*t^8.669 + t^8.704 + 2*t^8.8 - 3*t^8.817 + t^8.835 - 3*t^8.852 + t^8.869 - t^8.983 - t^4.417/y - t^7.086/y - t^7.235/y - t^7.269/y + t^7.565/y + t^7.6/y + t^7.748/y + t^8.486/y + t^8.504/y + t^8.521/y + t^8.652/y + (2*t^8.669)/y + t^8.686/y + t^8.817/y + (2*t^8.835)/y + t^8.852/y + t^8.983/y - t^4.417*y - t^7.086*y - t^7.235*y - t^7.269*y + t^7.565*y + t^7.6*y + t^7.748*y + t^8.486*y + t^8.504*y + t^8.521*y + t^8.652*y + 2*t^8.669*y + t^8.686*y + t^8.817*y + 2*t^8.835*y + t^8.852*y + t^8.983*y | t^2.669/(g1^4*g2^4) + (g1^6*t^2.817)/g2^2 + t^2.835/(g1^2*g2^2) + t^2.852/(g1^10*g2^2) + t^3. + g1^2*g2^2*t^3.165 + g1^6*g2^6*t^3.496 + t^4.104/(g1^13*g2^5) + t^4.252/(g1^3*g2^3) + (g1^7*t^4.4)/g2 + t^4.417/(g1*g2) + g1^9*g2*t^4.565 + (g2*t^4.6)/g1^7 + g1^11*g2^3*t^4.731 + g1^3*g2^3*t^4.748 + g1^5*g2^5*t^4.914 + (g2^7*t^5.096)/g1 + t^5.338/(g1^8*g2^8) + (g1^2*t^5.486)/g2^6 + t^5.521/(g1^14*g2^6) + (g1^12*t^5.634)/g2^4 + (3*t^5.669)/(g1^4*g2^4) + t^5.704/(g1^20*g2^4) + t^5.835/(g1^2*g2^2) + g1^8*t^5.983 - 2*t^6. + t^6.017/g1^8 - g1^10*g2^2*t^6.148 + g1^2*g2^2*t^6.165 - (g2^2*t^6.183)/g1^6 + g1^4*g2^4*t^6.331 + g1^8*g2^8*t^6.662 + t^6.773/(g1^17*g2^9) + t^6.921/(g1^7*g2^7) + t^6.938/(g1^15*g2^7) + t^6.955/(g1^23*g2^7) + g1^12*g2^12*t^6.993 + (g1^3*t^7.069)/g2^5 + (2*t^7.086)/(g1^5*g2^5) + t^7.104/(g1^13*g2^5) + (g1^13*t^7.217)/g2^3 + (2*g1^5*t^7.235)/g2^3 + t^7.252/(g1^3*g2^3) + t^7.269/(g1^11*g2^3) + (g1^15*t^7.383)/g2 + (2*g1^7*t^7.4)/g2 + t^7.417/(g1*g2) + t^7.452/(g1^17*g2) + g1^17*g2*t^7.548 + g1^9*g2*t^7.565 + g1*g2*t^7.583 + (g2*t^7.6)/g1^7 + g1^11*g2^3*t^7.731 + (g2^3*t^7.765)/g1^5 + g1^5*g2^5*t^7.914 + (g2^5*t^7.948)/g1^11 + t^8.007/(g1^12*g2^12) + (g2^7*t^8.096)/g1 + t^8.155/(g1^2*g2^10) + t^8.19/(g1^18*g2^10) + t^8.207/(g1^26*g2^10) + g1^17*g2^9*t^8.227 + (g1^8*t^8.304)/g2^8 + (2*t^8.338)/(g1^8*g2^8) + t^8.373/(g1^24*g2^8) + g1^11*g2^11*t^8.41 + (g1^18*t^8.452)/g2^6 + (g1^2*t^8.486)/g2^6 + (2*t^8.504)/(g1^6*g2^6) + (2*t^8.521)/(g1^14*g2^6) + t^8.556/(g1^30*g2^6) + g1^5*g2^13*t^8.593 + (g1^4*t^8.652)/g2^4 - (2*t^8.669)/(g1^4*g2^4) + t^8.704/(g1^20*g2^4) + (2*g1^14*t^8.8)/g2^2 - (3*g1^6*t^8.817)/g2^2 + t^8.835/(g1^2*g2^2) - (3*t^8.852)/(g1^10*g2^2) + t^8.869/(g1^18*g2^2) - g1^8*t^8.983 - t^4.417/(g1*g2*y) - t^7.086/(g1^5*g2^5*y) - (g1^5*t^7.235)/(g2^3*y) - t^7.269/(g1^11*g2^3*y) + (g1^9*g2*t^7.565)/y + (g2*t^7.6)/(g1^7*y) + (g1^3*g2^3*t^7.748)/y + (g1^2*t^8.486)/(g2^6*y) + t^8.504/(g1^6*g2^6*y) + t^8.521/(g1^14*g2^6*y) + (g1^4*t^8.652)/(g2^4*y) + (2*t^8.669)/(g1^4*g2^4*y) + t^8.686/(g1^12*g2^4*y) + (g1^6*t^8.817)/(g2^2*y) + (2*t^8.835)/(g1^2*g2^2*y) + t^8.852/(g1^10*g2^2*y) + (g1^8*t^8.983)/y - (t^4.417*y)/(g1*g2) - (t^7.086*y)/(g1^5*g2^5) - (g1^5*t^7.235*y)/g2^3 - (t^7.269*y)/(g1^11*g2^3) + g1^9*g2*t^7.565*y + (g2*t^7.6*y)/g1^7 + g1^3*g2^3*t^7.748*y + (g1^2*t^8.486*y)/g2^6 + (t^8.504*y)/(g1^6*g2^6) + (t^8.521*y)/(g1^14*g2^6) + (g1^4*t^8.652*y)/g2^4 + (2*t^8.669*y)/(g1^4*g2^4) + (t^8.686*y)/(g1^12*g2^4) + (g1^6*t^8.817*y)/g2^2 + (2*t^8.835*y)/(g1^2*g2^2) + (t^8.852*y)/(g1^10*g2^2) + g1^8*t^8.983*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 |
---|---|---|---|---|---|---|---|---|
970 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.6978 | 0.8548 | 0.8164 | [M:[1.0, 0.9552, 1.0448, 0.9105, 1.0224], q:[0.4888, 0.5112], qb:[0.4664, 0.5784], phi:[0.4888]] | t^2.731 + t^2.866 + t^2.933 + t^3. + t^3.067 + t^3.134 + t^3.201 + t^4.265 + t^4.332 + 2*t^4.399 + t^4.466 + t^4.534 + t^4.601 + t^4.668 + t^4.735 + t^4.937 + t^5.463 + t^5.597 + t^5.731 + t^5.799 + 2*t^5.866 + t^5.933 - t^6. - t^4.466/y - t^4.466*y | detail | |
968 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.6976 | 0.8545 | 0.8164 | [M:[1.0, 0.9574, 0.9148, 1.0426, 1.0213], q:[0.5533, 0.4467], qb:[0.532, 0.5107], phi:[0.4893]] | t^2.744 + t^2.872 + t^2.936 + t^3. + t^3.064 + t^3.128 + t^3.192 + t^4.149 + t^4.34 + t^4.404 + t^4.468 + t^4.532 + t^4.596 + 2*t^4.66 + t^4.724 + t^4.788 + t^5.489 + t^5.617 + t^5.744 + t^5.808 + 2*t^5.872 + t^5.936 - t^6. - t^4.468/y - t^4.468*y | detail | |
971 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.7051 | 0.8629 | 0.8172 | [M:[1.0, 0.9027, 1.0, 0.9027, 1.0486], q:[0.5243, 0.4757], qb:[0.4757, 0.6216], phi:[0.4757]] | 2*t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.438 + 3*t^4.281 + 2*t^4.427 + t^4.573 + 2*t^4.719 + t^4.865 + t^5.157 + 3*t^5.416 + 4*t^5.708 + 2*t^5.854 - 2*t^6. - t^4.427/y - t^4.427*y | detail | |
969 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}^{2}$ | 0.7044 | 0.8621 | 0.8171 | [M:[1.0, 0.91, 0.91, 1.0, 1.045], q:[0.5675, 0.4325], qb:[0.5225, 0.5675], phi:[0.4775]] | 2*t^2.73 + t^2.865 + 2*t^3. + t^3.135 + t^3.405 + t^4.028 + t^4.298 + 2*t^4.433 + t^4.567 + 2*t^4.702 + 3*t^4.837 + 3*t^5.46 + 4*t^5.73 + 2*t^5.865 - 2*t^6. - t^4.433/y - t^4.433*y | detail | |
972 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.7126 | 0.8749 | 0.8145 | [M:[1.0, 0.8716, 0.9435, 0.928, 1.0642, 0.9358], q:[0.5603, 0.4397], qb:[0.4961, 0.6323], phi:[0.4679]] | t^2.615 + t^2.784 + 2*t^2.807 + t^2.831 + t^3. + t^3.578 + t^4.042 + t^4.211 + t^4.38 + t^4.404 + t^4.573 + t^4.62 + t^4.766 + t^4.789 + t^4.982 + t^5.198 + t^5.229 + t^5.399 + t^5.422 + t^5.445 + t^5.568 + t^5.591 + 5*t^5.615 + t^5.638 + t^5.661 + t^5.807 - 3*t^6. - t^4.404/y - t^4.404*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 |
---|---|---|---|---|---|---|---|---|---|
372 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7103 | 0.8687 | 0.8177 | [M:[0.9326, 0.9326, 0.9326, 0.9326, 1.0674], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | 5*t^2.798 + t^3.202 + t^3.606 + 3*t^4.197 + 4*t^4.601 + 3*t^5.005 + 11*t^5.596 - 3*t^6. - t^4.399/y - t^4.399*y | detail |