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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[4, 6, 1], [0, -2, -1], [6, 4, 1], [-2, 0, -1], [-2, -2, 0]], q:[[-6, -6, -1], [2, 0, 0]], qb:[[0, 2, 0], [0, 0, 1]], phi:[[1, 1, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}^{2}$ | ${}M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$ | -3 | 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^6.404 + t^6.808 + 11*t^6.995 + t^7.213 + 9*t^7.399 + 7*t^7.803 + 23*t^8.394 + 3*t^8.612 - 14*t^8.798 - t^4.399/y - (4*t^7.197)/y + (4*t^7.601)/y + (10*t^8.596)/y - t^4.399*y - 4*t^7.197*y + 4*t^7.601*y + 10*t^8.596*y | g1^2*g2^2*t^2.798 + t^2.798/(g1^2*g3) + t^2.798/(g2^2*g3) + g1^6*g2^4*g3*t^2.798 + g1^4*g2^6*g3*t^2.798 + t^3.202/(g1^2*g2^2) + t^3.606/(g1^6*g2^6) + g1^5*g2*t^4.197 + g1^3*g2^3*t^4.197 + g1*g2^5*t^4.197 + t^4.601/(g1^3*g2^5*g3) + t^4.601/(g1^5*g2^3*g3) + g1^3*g2*g3*t^4.601 + g1*g2^3*g3*t^4.601 + t^5.005/(g1^5*g2^5) + t^5.005/(g1^11*g2^11*g3^2) + g1*g2*g3^2*t^5.005 + g1^6*g2^2*t^5.596 + 3*g1^4*g2^4*t^5.596 + g1^2*g2^6*t^5.596 + t^5.596/(g1^4*g3^2) + t^5.596/(g2^4*g3^2) + t^5.596/(g1^2*g2^2*g3^2) + g1^12*g2^8*g3^2*t^5.596 + g1^10*g2^10*g3^2*t^5.596 + g1^8*g2^12*g3^2*t^5.596 - 3*t^6. - (g1^2*t^6.)/g2^2 - (g2^2*t^6.)/g1^2 - t^6./(g1^6*g2^6*g3^2) + t^6./(g1^2*g2^4*g3) + t^6./(g1^4*g2^2*g3) + g1^4*g2^2*g3*t^6. + g1^2*g2^4*g3*t^6. - g1^6*g2^6*g3^2*t^6. + t^6.404/(g1^4*g2^4) + t^6.808/(g1^8*g2^8) + g1^7*g2^3*t^6.995 + g1^5*g2^5*t^6.995 + g1^3*g2^7*t^6.995 + (g1^5*t^6.995)/(g2*g3) + (g1^3*g2*t^6.995)/g3 + (g1*g2^3*t^6.995)/g3 + (g2^5*t^6.995)/(g1*g3) + g1^11*g2^5*g3*t^6.995 + g1^9*g2^7*g3*t^6.995 + g1^7*g2^9*g3*t^6.995 + g1^5*g2^11*g3*t^6.995 + t^7.213/(g1^12*g2^12) + (g1^3*t^7.399)/g2 + g1*g2*t^7.399 + (g2^3*t^7.399)/g1 + t^7.399/(g1^3*g2^7*g3^2) + t^7.399/(g1^5*g2^5*g3^2) + t^7.399/(g1^7*g2^3*g3^2) + g1^9*g2^5*g3^2*t^7.399 + g1^7*g2^7*g3^2*t^7.399 + g1^5*g2^9*g3^2*t^7.399 - t^7.803/(g1^3*g2^3) + t^7.803/(g1^11*g2^13*g3^3) + t^7.803/(g1^13*g2^11*g3^3) + t^7.803/(g1^5*g2^7*g3) + t^7.803/(g1^7*g2^5*g3) + (g1*g3*t^7.803)/g2 + (g2*g3*t^7.803)/g1 + g1^7*g2^5*g3^3*t^7.803 + g1^5*g2^7*g3^3*t^7.803 + g1^10*g2^2*t^8.394 + g1^6*g2^6*t^8.394 + g1^2*g2^10*t^8.394 + t^8.394/(g1^6*g3^3) + t^8.394/(g2^6*g3^3) + t^8.394/(g1^2*g2^4*g3^3) + t^8.394/(g1^4*g2^2*g3^3) + (g1^6*t^8.394)/g3 + (2*g1^4*g2^2*t^8.394)/g3 + (2*g1^2*g2^4*t^8.394)/g3 + (g2^6*t^8.394)/g3 + g1^12*g2^6*g3*t^8.394 + 2*g1^10*g2^8*g3*t^8.394 + 2*g1^8*g2^10*g3*t^8.394 + g1^6*g2^12*g3*t^8.394 + g1^18*g2^12*g3^3*t^8.394 + g1^16*g2^14*g3^3*t^8.394 + g1^14*g2^16*g3^3*t^8.394 + g1^12*g2^18*g3^3*t^8.394 + t^8.612/(g1^11*g2^11) + t^8.612/(g1^17*g2^17*g3^2) + (g3^2*t^8.612)/(g1^5*g2^5) - t^8.798/(g1^6*g2^8*g3^3) - t^8.798/(g1^8*g2^6*g3^3) + t^8.798/(g1^2*g2^6*g3^2) + t^8.798/(g1^4*g2^4*g3^2) + t^8.798/(g1^6*g2^2*g3^2) - (4*t^8.798)/(g1^2*g3) - (4*t^8.798)/(g2^2*g3) - 4*g1^6*g2^4*g3*t^8.798 - 4*g1^4*g2^6*g3*t^8.798 + g1^10*g2^6*g3^2*t^8.798 + g1^8*g2^8*g3^2*t^8.798 + g1^6*g2^10*g3^2*t^8.798 - g1^12*g2^10*g3^3*t^8.798 - g1^10*g2^12*g3^3*t^8.798 - (g1*g2*t^4.399)/y - (g1*t^7.197)/(g2*g3*y) - (g2*t^7.197)/(g1*g3*y) - (g1^7*g2^5*g3*t^7.197)/y - (g1^5*g2^7*g3*t^7.197)/y + t^7.601/(g1^3*g2^5*g3*y) + t^7.601/(g1^5*g2^3*g3*y) + (g1^3*g2*g3*t^7.601)/y + (g1*g2^3*g3*t^7.601)/y + (g1^6*g2^2*t^8.596)/y + (2*g1^4*g2^4*t^8.596)/y + (g1^2*g2^6*t^8.596)/y + t^8.596/(g1^2*g2^2*g3^2*y) + (g1^2*t^8.596)/(g3*y) + (g2^2*t^8.596)/(g3*y) + (g1^8*g2^6*g3*t^8.596)/y + (g1^6*g2^8*g3*t^8.596)/y + (g1^10*g2^10*g3^2*t^8.596)/y - g1*g2*t^4.399*y - (g1*t^7.197*y)/(g2*g3) - (g2*t^7.197*y)/(g1*g3) - g1^7*g2^5*g3*t^7.197*y - g1^5*g2^7*g3*t^7.197*y + (t^7.601*y)/(g1^3*g2^5*g3) + (t^7.601*y)/(g1^5*g2^3*g3) + g1^3*g2*g3*t^7.601*y + g1*g2^3*g3*t^7.601*y + g1^6*g2^2*t^8.596*y + 2*g1^4*g2^4*t^8.596*y + g1^2*g2^6*t^8.596*y + (t^8.596*y)/(g1^2*g2^2*g3^2) + (g1^2*t^8.596*y)/g3 + (g2^2*t^8.596*y)/g3 + g1^8*g2^6*g3*t^8.596*y + g1^6*g2^8*g3*t^8.596*y + g1^10*g2^10*g3^2*t^8.596*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 |
---|---|---|---|---|---|---|---|---|
604 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 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 | |
603 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ | 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]] | 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^4.417/y - t^4.417*y | detail | |
606 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.7051 | 0.8629 | 0.8172 | [M:[0.9027, 1.0, 0.9027, 1.0, 1.0486], q:[0.6216, 0.4757], qb:[0.4757, 0.5243], 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 | |
608 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.7171 | 0.8807 | 0.8142 | [M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.6179, 0.4607], qb:[0.4607, 0.6179], phi:[0.4607]] | 6*t^2.764 + t^3.707 + 3*t^4.146 + 4*t^4.618 + 3*t^5.09 + 17*t^5.528 - 8*t^6. - t^4.382/y - t^4.382*y | detail | |
607 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7284 | 0.9028 | 0.8068 | [M:[0.9169, 0.9169, 0.9169, 0.9169, 1.0831, 0.7506], q:[0.6247, 0.4584], qb:[0.4584, 0.6247], phi:[0.4584]] | t^2.252 + 5*t^2.751 + t^3.249 + 3*t^4.126 + t^4.503 + 4*t^4.625 + 5*t^5.002 + 3*t^5.124 + 12*t^5.501 - 3*t^6. - t^4.375/y - t^4.375*y | detail | |
1829 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6465 | 0.809 | 0.7991 | [M:[0.8, 0.8, 0.8, 0.8, 1.2], q:[0.8, 0.4], qb:[0.4, 0.8], phi:[0.4]] | 5*t^2.4 + 4*t^3.6 + 16*t^4.8 + 11*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1293/2000, c: 809/1000, M1: 4/5, M2: 4/5, M3: 4/5, M4: 4/5, M5: 6/5, q1: 4/5, q2: 2/5, qb1: 2/5, qb2: 4/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
230 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.791 | 0.9858 | 0.8024 | [M:[0.7646, 0.7646, 0.7646, 0.7646, 0.7371], q:[0.604, 0.6314], qb:[0.6314, 0.604], phi:[0.3823]] | t^2.211 + 5*t^2.294 + t^3.624 + t^4.423 + 5*t^4.505 + 15*t^4.588 + 3*t^4.771 + 4*t^4.853 + 3*t^4.936 + t^5.835 + t^5.918 - 8*t^6. - t^4.147/y - t^4.147*y | detail |