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 |
---|---|---|---|---|---|---|---|---|---|
55263 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ | 0.7097 | 0.8734 | 0.8125 | [M:[0.9433, 1.048, 0.9608, 0.8561, 1.048, 0.952, 0.952], q:[0.4324, 0.6243], qb:[0.5196, 0.5196], phi:[0.476]] | [M:[[-4, 8], [2, 2], [0, -12], [-6, -6], [2, 2], [-2, -2], [-2, -2]], q:[[-2, -8], [6, 0]], qb:[[0, 6], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$ | ${}M_{4}q_{2}\tilde{q}_{1}$ | -5 | t^2.568 + t^2.83 + 3*t^2.856 + t^2.882 + t^3.432 + t^4.023 + 2*t^4.284 + 3*t^4.546 + t^4.598 + 2*t^4.86 + t^5.137 + t^5.174 + t^5.398 + 2*t^5.424 + t^5.451 + t^5.66 + t^5.686 + 7*t^5.712 + t^5.739 + t^5.765 - 5*t^6. - t^6.261 + 2*t^6.288 - t^6.314 - t^6.576 + t^6.591 + 2*t^6.852 + t^6.863 + 3*t^6.879 + t^6.905 + 3*t^7.114 + 5*t^7.14 + 3*t^7.375 + 7*t^7.402 - t^7.428 + 2*t^7.454 + t^7.481 - 3*t^7.69 + t^7.705 + 3*t^7.716 + t^7.966 + t^7.977 + 2*t^7.993 - 2*t^8.004 + t^8.019 + 2*t^8.03 + t^8.045 + t^8.056 + t^8.228 + t^8.254 + 4*t^8.281 + t^8.291 + 2*t^8.307 - t^8.318 + t^8.333 + t^8.489 + t^8.516 + 2*t^8.542 + 9*t^8.568 + t^8.595 + t^8.606 + 2*t^8.621 + t^8.647 - 2*t^8.83 - 15*t^8.856 - 2*t^8.882 - t^4.428/y - t^6.996/y - t^7.258/y - t^7.284/y - t^7.31/y + t^7.546/y + t^7.572/y + t^7.598/y + t^7.86/y + t^8.398/y + (3*t^8.424)/y + t^8.451/y + (3*t^8.686)/y + (4*t^8.712)/y + (3*t^8.739)/y - t^4.428*y - t^6.996*y - t^7.258*y - t^7.284*y - t^7.31*y + t^7.546*y + t^7.572*y + t^7.598*y + t^7.86*y + t^8.398*y + 3*t^8.424*y + t^8.451*y + 3*t^8.686*y + 4*t^8.712*y + 3*t^8.739*y | t^2.568/(g1^6*g2^6) + (g2^8*t^2.83)/g1^4 + (3*t^2.856)/(g1^2*g2^2) + t^2.882/g2^12 + g1^6*g2^6*t^3.432 + t^4.023/(g1^5*g2^17) + (2*t^4.284)/(g1^3*g2^3) + (3*g2^11*t^4.546)/g1 + (g1^3*t^4.598)/g2^9 + 2*g1^5*g2^5*t^4.86 + t^5.137/(g1^12*g2^12) + (g1^11*t^5.174)/g2 + (g2^2*t^5.398)/g1^10 + (2*t^5.424)/(g1^8*g2^8) + t^5.451/(g1^6*g2^18) + (g2^16*t^5.66)/g1^8 + (g2^6*t^5.686)/g1^6 + (7*t^5.712)/(g1^4*g2^4) + t^5.739/(g1^2*g2^14) + t^5.765/g2^24 - 5*t^6. - g1^2*g2^14*t^6.261 + 2*g1^4*g2^4*t^6.288 - (g1^6*t^6.314)/g2^6 - g1^8*g2^8*t^6.576 + t^6.591/(g1^11*g2^23) + (2*t^6.852)/(g1^9*g2^9) + g1^12*g2^12*t^6.863 + (3*t^6.879)/(g1^7*g2^19) + t^6.905/(g1^5*g2^29) + (3*g2^5*t^7.114)/g1^7 + (5*t^7.14)/(g1^5*g2^5) + (3*g2^19*t^7.375)/g1^5 + (7*g2^9*t^7.402)/g1^3 - t^7.428/(g1*g2) + (2*g1*t^7.454)/g2^11 + (g1^3*t^7.481)/g2^21 - 3*g1*g2^13*t^7.69 + t^7.705/(g1^18*g2^18) + 3*g1^3*g2^3*t^7.716 + t^7.966/(g1^16*g2^4) + g1^5*g2^17*t^7.977 + (2*t^7.993)/(g1^14*g2^14) - 2*g1^7*g2^7*t^8.004 + t^8.019/(g1^12*g2^24) + (2*g1^9*t^8.03)/g2^3 + t^8.045/(g1^10*g2^34) + (g1^11*t^8.056)/g2^13 + (g2^10*t^8.228)/g1^14 + t^8.254/g1^12 + (4*t^8.281)/(g1^10*g2^10) + g1^11*g2^11*t^8.291 + (2*t^8.307)/(g1^8*g2^20) - g1^13*g2*t^8.318 + t^8.333/(g1^6*g2^30) + (g2^24*t^8.489)/g1^12 + (g2^14*t^8.516)/g1^10 + (2*g2^4*t^8.542)/g1^8 + (9*t^8.568)/(g1^6*g2^6) + t^8.595/(g1^4*g2^16) + g1^17*g2^5*t^8.606 + (2*t^8.621)/(g1^2*g2^26) + t^8.647/g2^36 - (2*g2^8*t^8.83)/g1^4 - (15*t^8.856)/(g1^2*g2^2) - (2*t^8.882)/g2^12 - t^4.428/(g1*g2*y) - t^6.996/(g1^7*g2^7*y) - (g2^7*t^7.258)/(g1^5*y) - t^7.284/(g1^3*g2^3*y) - t^7.31/(g1*g2^13*y) + (g2^11*t^7.546)/(g1*y) + (g1*g2*t^7.572)/y + (g1^3*t^7.598)/(g2^9*y) + (g1^5*g2^5*t^7.86)/y + (g2^2*t^8.398)/(g1^10*y) + (3*t^8.424)/(g1^8*g2^8*y) + t^8.451/(g1^6*g2^18*y) + (3*g2^6*t^8.686)/(g1^6*y) + (4*t^8.712)/(g1^4*g2^4*y) + (3*t^8.739)/(g1^2*g2^14*y) - (t^4.428*y)/(g1*g2) - (t^6.996*y)/(g1^7*g2^7) - (g2^7*t^7.258*y)/g1^5 - (t^7.284*y)/(g1^3*g2^3) - (t^7.31*y)/(g1*g2^13) + (g2^11*t^7.546*y)/g1 + g1*g2*t^7.572*y + (g1^3*t^7.598*y)/g2^9 + g1^5*g2^5*t^7.86*y + (g2^2*t^8.398*y)/g1^10 + (3*t^8.424*y)/(g1^8*g2^8) + (t^8.451*y)/(g1^6*g2^18) + (3*g2^6*t^8.686*y)/g1^6 + (4*t^8.712*y)/(g1^4*g2^4) + (3*t^8.739*y)/(g1^2*g2^14) |
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 |
---|---|---|---|---|---|---|---|---|
56917 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{6}$ | 0.7036 | 0.8648 | 0.8137 | [M:[1.0314, 1.0314, 0.9059, 0.9059, 1.0314, 0.9686, 0.9686], q:[0.4216, 0.5471], qb:[0.5471, 0.5471], phi:[0.4843]] | 2*t^2.718 + 3*t^2.906 + t^3.094 + t^3.282 + t^3.982 + 3*t^4.359 + 6*t^4.735 + 3*t^5.435 + 3*t^5.623 + 8*t^5.812 - 5*t^6. - t^4.453/y - t^4.453*y | detail | |
56920 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}M_{6}$ | 0.7046 | 0.8664 | 0.8133 | [M:[0.8944, 1.0352, 1.0352, 0.8944, 1.0352, 0.9648, 0.9648], q:[0.4824, 0.6233], qb:[0.4824, 0.4824], phi:[0.4824]] | 2*t^2.683 + 3*t^2.894 + t^3.106 + t^3.317 + 6*t^4.342 + 3*t^4.764 + t^5.187 + 3*t^5.366 + 3*t^5.577 + 8*t^5.789 - 5*t^6. - t^4.447/y - t^4.447*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 |
---|---|---|---|---|---|---|---|---|---|
46804 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[0.951, 1.0421, 0.9647, 0.8736, 1.0421, 0.9579], q:[0.4402, 0.6088], qb:[0.5177, 0.5177], phi:[0.4789]] | t^2.621 + t^2.853 + 2*t^2.874 + t^2.894 + t^3.126 + t^3.379 + t^4.078 + 2*t^4.31 + 3*t^4.543 + t^4.584 + 2*t^4.816 + t^5.089 + t^5.241 + t^5.474 + t^5.494 + t^5.515 + t^5.706 + 5*t^5.747 + t^5.788 + t^5.98 - 3*t^6. - t^4.437/y - t^4.437*y | detail |