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 |
---|---|---|---|---|---|---|---|---|---|
46324 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ | 0.7466 | 0.9183 | 0.813 | [M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | [M:[[-4, 0, 1], [0, -4, 1], [0, -4, -1], [-4, 0, -1], [0, 0, 0]], q:[[0, 0, -1], [4, 0, 0]], qb:[[0, 4, 0], [0, 0, 1]], phi:[[-1, -1, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -7 | 5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. + t^6.494 + 11*t^6.76 + 16*t^7.253 + 35*t^7.519 + 8*t^7.747 + t^7.974 - 2*t^8.013 - 5*t^8.24 - 30*t^8.506 - 3*t^8.734 - t^4.253/y - (5*t^6.76)/y + (5*t^7.747)/y + (10*t^8.013)/y + (5*t^8.506)/y - t^4.253*y - 5*t^6.76*y + 5*t^7.747*y + 10*t^8.013*y + 5*t^8.506*y | t^2.506/(g1^2*g2^2) + t^2.506/(g1^4*g3) + t^2.506/(g2^4*g3) + (g3*t^2.506)/g1^4 + (g3*t^2.506)/g2^4 + t^3. + g1^4*g2^4*t^3.987 + t^4.253/(g1*g2) + t^4.253/(g1*g2*g3^2) + (g3^2*t^4.253)/(g1*g2) + (g1^3*t^4.747)/(g2*g3) + (g2^3*t^4.747)/(g1*g3) + (g1^3*g3*t^4.747)/g2 + (g2^3*g3*t^4.747)/g1 + t^5.013/g1^8 + t^5.013/g2^8 + (3*t^5.013)/(g1^4*g2^4) + t^5.013/(g1^8*g3^2) + t^5.013/(g2^8*g3^2) + t^5.013/(g1^4*g2^4*g3^2) + t^5.013/(g1^2*g2^6*g3) + t^5.013/(g1^6*g2^2*g3) + (g3*t^5.013)/(g1^2*g2^6) + (g3*t^5.013)/(g1^6*g2^2) + (g3^2*t^5.013)/g1^8 + (g3^2*t^5.013)/g2^8 + (g3^2*t^5.013)/(g1^4*g2^4) + (g1^7*t^5.24)/g2 + g1^3*g2^3*t^5.24 + (g2^7*t^5.24)/g1 + t^5.506/(g1^2*g2^2) - 3*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - t^6./g3^2 - g3^2*t^6. + g1^2*g2^2*t^6.494 + t^6.76/(g1^3*g2^3) + t^6.76/(g1*g2^5*g3^3) + t^6.76/(g1^5*g2*g3^3) + t^6.76/(g1^3*g2^3*g3^2) + t^6.76/(g1*g2^5*g3) + t^6.76/(g1^5*g2*g3) + (g3*t^6.76)/(g1*g2^5) + (g3*t^6.76)/(g1^5*g2) + (g3^2*t^6.76)/(g1^3*g2^3) + (g3^3*t^6.76)/(g1*g2^5) + (g3^3*t^6.76)/(g1^5*g2) + (g1^3*t^7.253)/g2^5 + (2*t^7.253)/(g1*g2) + (g2^3*t^7.253)/g1^5 + (g1^3*t^7.253)/(g2^5*g3^2) + (2*t^7.253)/(g1*g2*g3^2) + (g2^3*t^7.253)/(g1^5*g3^2) + (g1*t^7.253)/(g2^3*g3) + (g2*t^7.253)/(g1^3*g3) + (g1*g3*t^7.253)/g2^3 + (g2*g3*t^7.253)/g1^3 + (g1^3*g3^2*t^7.253)/g2^5 + (2*g3^2*t^7.253)/(g1*g2) + (g2^3*g3^2*t^7.253)/g1^5 + t^7.519/(g1^2*g2^10) + (3*t^7.519)/(g1^6*g2^6) + t^7.519/(g1^10*g2^2) + t^7.519/(g1^12*g3^3) + t^7.519/(g2^12*g3^3) + t^7.519/(g1^4*g2^8*g3^3) + t^7.519/(g1^8*g2^4*g3^3) + t^7.519/(g1^2*g2^10*g3^2) + t^7.519/(g1^6*g2^6*g3^2) + t^7.519/(g1^10*g2^2*g3^2) + t^7.519/(g1^12*g3) + t^7.519/(g2^12*g3) + (3*t^7.519)/(g1^4*g2^8*g3) + (3*t^7.519)/(g1^8*g2^4*g3) + (g3*t^7.519)/g1^12 + (g3*t^7.519)/g2^12 + (3*g3*t^7.519)/(g1^4*g2^8) + (3*g3*t^7.519)/(g1^8*g2^4) + (g3^2*t^7.519)/(g1^2*g2^10) + (g3^2*t^7.519)/(g1^6*g2^6) + (g3^2*t^7.519)/(g1^10*g2^2) + (g3^3*t^7.519)/g1^12 + (g3^3*t^7.519)/g2^12 + (g3^3*t^7.519)/(g1^4*g2^8) + (g3^3*t^7.519)/(g1^8*g2^4) + (g1^5*t^7.747)/g2^3 + (g2^5*t^7.747)/g1^3 - (g1*g2*t^7.747)/g3^2 + (g1^7*t^7.747)/(g2^5*g3) + (g1^3*t^7.747)/(g2*g3) + (g2^3*t^7.747)/(g1*g3) + (g2^7*t^7.747)/(g1^5*g3) + (g1^7*g3*t^7.747)/g2^5 + (g1^3*g3*t^7.747)/g2 + (g2^3*g3*t^7.747)/g1 + (g2^7*g3*t^7.747)/g1^5 - g1*g2*g3^2*t^7.747 + g1^8*g2^8*t^7.974 - t^8.013/(g1^4*g2^4*g3^2) - (g3^2*t^8.013)/(g1^4*g2^4) - g1^3*g2^3*t^8.24 - (g1^5*g2*t^8.24)/g3 - (g1*g2^5*t^8.24)/g3 - g1^5*g2*g3*t^8.24 - g1*g2^5*g3*t^8.24 - (g1^2*t^8.506)/g2^6 - (2*t^8.506)/(g1^2*g2^2) - (g2^2*t^8.506)/g1^6 + t^8.506/(g1^2*g2^2*g3^4) - t^8.506/(g1^4*g3^3) - t^8.506/(g2^4*g3^3) - (5*t^8.506)/(g1^4*g3) - (g1^4*t^8.506)/(g2^8*g3) - (5*t^8.506)/(g2^4*g3) - (g2^4*t^8.506)/(g1^8*g3) - (5*g3*t^8.506)/g1^4 - (g1^4*g3*t^8.506)/g2^8 - (5*g3*t^8.506)/g2^4 - (g2^4*g3*t^8.506)/g1^8 - (g3^3*t^8.506)/g1^4 - (g3^3*t^8.506)/g2^4 + (g3^4*t^8.506)/(g1^2*g2^2) - g1^9*g2*t^8.734 - g1^5*g2^5*t^8.734 - g1*g2^9*t^8.734 - t^4.253/(g1*g2*y) - t^6.76/(g1^3*g2^3*y) - t^6.76/(g1*g2^5*g3*y) - t^6.76/(g1^5*g2*g3*y) - (g3*t^6.76)/(g1*g2^5*y) - (g3*t^6.76)/(g1^5*g2*y) + (g1*g2*t^7.747)/y + (g1^3*t^7.747)/(g2*g3*y) + (g2^3*t^7.747)/(g1*g3*y) + (g1^3*g3*t^7.747)/(g2*y) + (g2^3*g3*t^7.747)/(g1*y) + t^8.013/(g1^8*y) + t^8.013/(g2^8*y) + (2*t^8.013)/(g1^4*g2^4*y) + t^8.013/(g1^4*g2^4*g3^2*y) + t^8.013/(g1^2*g2^6*g3*y) + t^8.013/(g1^6*g2^2*g3*y) + (g3*t^8.013)/(g1^2*g2^6*y) + (g3*t^8.013)/(g1^6*g2^2*y) + (g3^2*t^8.013)/(g1^4*g2^4*y) + t^8.506/(g1^2*g2^2*y) + t^8.506/(g1^4*g3*y) + t^8.506/(g2^4*g3*y) + (g3*t^8.506)/(g1^4*y) + (g3*t^8.506)/(g2^4*y) - (t^4.253*y)/(g1*g2) - (t^6.76*y)/(g1^3*g2^3) - (t^6.76*y)/(g1*g2^5*g3) - (t^6.76*y)/(g1^5*g2*g3) - (g3*t^6.76*y)/(g1*g2^5) - (g3*t^6.76*y)/(g1^5*g2) + g1*g2*t^7.747*y + (g1^3*t^7.747*y)/(g2*g3) + (g2^3*t^7.747*y)/(g1*g3) + (g1^3*g3*t^7.747*y)/g2 + (g2^3*g3*t^7.747*y)/g1 + (t^8.013*y)/g1^8 + (t^8.013*y)/g2^8 + (2*t^8.013*y)/(g1^4*g2^4) + (t^8.013*y)/(g1^4*g2^4*g3^2) + (t^8.013*y)/(g1^2*g2^6*g3) + (t^8.013*y)/(g1^6*g2^2*g3) + (g3*t^8.013*y)/(g1^2*g2^6) + (g3*t^8.013*y)/(g1^6*g2^2) + (g3^2*t^8.013*y)/(g1^4*g2^4) + (t^8.506*y)/(g1^2*g2^2) + (t^8.506*y)/(g1^4*g3) + (t^8.506*y)/(g2^4*g3) + (g3*t^8.506*y)/g1^4 + (g3*t^8.506*y)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
46631 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ | 0.7215 | 0.8862 | 0.8142 | [M:[0.8197, 1.0, 1.0, 0.8197, 1.0], q:[0.5, 0.6803], qb:[0.5, 0.5], phi:[0.4549]] | 2*t^2.459 + t^2.73 + 3*t^3. + t^3.541 + 6*t^4.365 + 3*t^4.906 + 3*t^4.918 + 2*t^5.189 + t^5.446 + 4*t^5.459 + 3*t^5.73 - 2*t^6. - t^4.365/y - t^4.365*y | detail | |
46581 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}M_{4}$ | 0.7194 | 0.8833 | 0.8145 | [M:[0.8377, 0.8377, 1.0, 1.0, 1.0], q:[0.5812, 0.5812], qb:[0.5812, 0.4188], phi:[0.4594]] | 2*t^2.513 + t^2.757 + 3*t^3. + t^3.487 + t^3.891 + 3*t^4.378 + 6*t^4.865 + 3*t^5.026 + 2*t^5.27 + 4*t^5.513 + 3*t^5.757 - 2*t^6. - t^4.378/y - t^4.378*y | detail | |
46505 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7114 | 0.8732 | 0.8147 | [M:[0.8231, 0.9476, 1.059, 0.9345, 1.0], q:[0.5557, 0.6212], qb:[0.4967, 0.4443], phi:[0.4705]] | t^2.469 + t^2.803 + t^2.823 + t^2.843 + t^3. + t^3.177 + t^3.354 + t^4.078 + t^4.235 + t^4.392 + t^4.412 + t^4.569 + t^4.608 + t^4.746 + t^4.765 + t^4.939 + t^4.942 + t^5.139 + t^5.273 + t^5.293 + t^5.312 + t^5.607 + 3*t^5.646 + t^5.686 + t^5.823 + t^5.98 - 2*t^6. - t^4.412/y - t^4.412*y | detail | |
46530 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{4}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[0.8995, 0.7765, 0.877, 1.0, 1.0], q:[0.5503, 0.5503], qb:[0.6733, 0.4497], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail | |
46559 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.7281 | 0.9047 | 0.8047 | [M:[0.6956, 0.869, 0.869, 0.6956, 1.0], q:[0.5, 0.8044], qb:[0.631, 0.5], phi:[0.3912]] | 2*t^2.087 + t^2.347 + 2*t^2.607 + t^3. + 6*t^4.173 + t^4.306 + 2*t^4.434 + 2*t^4.566 + 5*t^4.694 + 2*t^4.954 + t^4.959 + 2*t^5.087 + 3*t^5.214 + t^5.347 - 4*t^6. - t^4.173/y - t^4.173*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 |
---|---|---|---|---|---|---|---|---|---|
45955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.791 | 0.9858 | 0.8024 | [M:[0.7646, 0.7646, 0.7646, 0.7646, 0.7371], q:[0.6314, 0.604], qb:[0.604, 0.6314], 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 |