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 |
---|---|---|---|---|---|---|---|---|---|
6362 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{9}$ + ${ }M_{10}\phi_{1}\tilde{q}_{1}^{2}$ | 0.699 | 0.8871 | 0.788 | [M:[1.0098, 0.7923, 0.973, 0.8291, 1.1709, 0.7204, 0.8291, 1.2077, 1.027, 0.6835], q:[0.594, 0.3961], qb:[0.433, 0.7747], phi:[0.4505]] | [M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [-1, 5], [1, -1], [2, 2], [1, 15], [-4, 4]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{10}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{9}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{10}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{10}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{10}M_{4}$, ${ }M_{10}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{10}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{10}$, ${ }M_{10}M_{9}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{10}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{10}\phi_{1}q_{2}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{9}\phi_{1}^{2}$ | ${}$ | -3 | t^2.051 + t^2.161 + 2*t^2.487 + t^2.703 + t^3.029 + t^3.081 + t^3.623 + t^3.728 + t^4.101 + t^4.106 + t^4.212 + 2*t^4.322 + t^4.433 + 2*t^4.538 + 2*t^4.648 + t^4.754 + t^4.864 + t^4.916 + 3*t^4.975 + t^5.08 + t^5.132 + 3*t^5.19 + t^5.242 + t^5.517 + 2*t^5.568 + t^5.674 + t^5.733 + t^5.779 + 2*t^5.784 - 3*t^6. + t^6.059 + 2*t^6.11 + t^6.152 + t^6.157 + t^6.162 + t^6.216 + t^6.262 + t^6.267 + 2*t^6.373 + t^6.432 + 2*t^6.483 - t^6.542 + 2*t^6.589 + t^6.594 + t^6.653 + 2*t^6.699 + t^6.704 + t^6.804 + 4*t^6.81 - t^6.868 + t^6.915 + t^6.92 + t^6.966 + 3*t^7.025 + t^7.077 + t^7.131 + 3*t^7.136 + t^7.182 + t^7.187 + 2*t^7.241 + t^7.293 + 2*t^7.352 + 3*t^7.403 + t^7.457 + 3*t^7.462 + t^7.514 + t^7.567 + 2*t^7.619 + 3*t^7.678 + t^7.724 + 2*t^7.729 + t^7.783 + t^7.83 + t^7.835 + t^7.894 + t^7.945 + t^7.997 + t^8.004 - 2*t^8.051 + 3*t^8.056 + t^8.109 - 2*t^8.161 + t^8.202 + t^8.208 + t^8.213 + 2*t^8.22 + t^8.266 + 2*t^8.272 + t^8.313 + t^8.318 + t^8.323 - t^8.377 + 2*t^8.423 + t^8.429 + t^8.436 + t^8.482 - 6*t^8.487 + 2*t^8.534 + t^8.539 + t^8.546 - t^8.593 + 2*t^8.598 + 2*t^8.639 + 3*t^8.644 + 2*t^8.649 - 2*t^8.703 + 2*t^8.75 + t^8.755 + t^8.762 + t^8.814 + t^8.855 + 4*t^8.86 + 2*t^8.865 + t^8.965 + 2*t^8.971 - t^4.352/y - t^6.402/y - t^6.513/y - t^6.839/y - t^7.055/y + t^7.212/y + t^7.322/y - t^7.381/y + (2*t^7.538)/y + (3*t^7.648)/y + t^7.754/y + (2*t^7.864)/y + t^7.975/y + t^8.08/y + t^8.132/y + (4*t^8.19)/y + t^8.242/y + t^8.301/y - t^8.453/y + (2*t^8.517)/y - t^8.563/y + (2*t^8.568)/y + t^8.733/y + t^8.779/y + (2*t^8.784)/y - t^4.352*y - t^6.402*y - t^6.513*y - t^6.839*y - t^7.055*y + t^7.212*y + t^7.322*y - t^7.381*y + 2*t^7.538*y + 3*t^7.648*y + t^7.754*y + 2*t^7.864*y + t^7.975*y + t^8.08*y + t^8.132*y + 4*t^8.19*y + t^8.242*y + t^8.301*y - t^8.453*y + 2*t^8.517*y - t^8.563*y + 2*t^8.568*y + t^8.733*y + t^8.779*y + 2*t^8.784*y | (g2^4*t^2.051)/g1^4 + (g2^5*t^2.161)/g1 + (2*g1*t^2.487)/g2 + t^2.703/g2^8 + (g1^2*t^3.029)/g2^14 + g1*g2^15*t^3.081 + g1^2*g2^2*t^3.623 + t^3.728/(g1^2*g2^6) + (g2^8*t^4.101)/g1^8 + (g2^17*t^4.106)/g1 + (g2^9*t^4.212)/g1^5 + (2*g2^10*t^4.322)/g1^2 + g1*g2^11*t^4.433 + (2*g2^3*t^4.538)/g1^3 + 2*g2^4*t^4.648 + t^4.754/(g1^4*g2^4) + t^4.864/(g1*g2^3) + (g2^26*t^4.916)/g1^2 + (3*g1^2*t^4.975)/g2^2 + t^5.08/(g1^2*g2^10) + (g2^19*t^5.132)/g1^3 + (3*g1*t^5.19)/g2^9 + g2^20*t^5.242 + (g1^3*t^5.517)/g2^15 + 2*g1^2*g2^14*t^5.568 + (g2^6*t^5.674)/g1^2 + (g1^2*t^5.733)/g2^22 + t^5.779/(g1^6*g2^2) + 2*g1*g2^7*t^5.784 - 3*t^6. + (g1^4*t^6.059)/g2^28 + 2*g1^3*g2*t^6.11 + (g2^12*t^6.152)/g1^12 + (g2^21*t^6.157)/g1^5 + g1^2*g2^30*t^6.162 + t^6.216/(g1*g2^7) + (g2^13*t^6.262)/g1^9 + (g2^22*t^6.267)/g1^2 + (2*g2^14*t^6.373)/g1^6 + t^6.432/(g1^2*g2^14) + (2*g2^15*t^6.483)/g1^3 - (g1*t^6.542)/g2^13 + (2*g2^7*t^6.589)/g1^7 + g2^16*t^6.594 + (g1^4*t^6.653)/g2^12 + (2*g2^8*t^6.699)/g1^4 + g1^3*g2^17*t^6.704 + t^6.804/g1^8 + (4*g2^9*t^6.81)/g1 - (g1^3*t^6.868)/g2^19 + (g2*t^6.915)/g1^5 + g1^2*g2^10*t^6.92 + (g2^30*t^6.966)/g1^6 + (3*g2^2*t^7.025)/g1^2 + (g2^31*t^7.077)/g1^3 + t^7.131/(g1^6*g2^6) + 3*g1*g2^3*t^7.136 + (g2^23*t^7.182)/g1^7 + g2^32*t^7.187 + (2*t^7.241)/(g1^3*g2^5) + (g2^24*t^7.293)/g1^4 + (2*t^7.352)/g2^4 + (3*g2^25*t^7.403)/g1 + t^7.457/(g1^4*g2^12) + (3*g1^3*t^7.462)/g2^3 + g1^2*g2^26*t^7.514 + t^7.567/(g1*g2^11) + (2*g2^18*t^7.619)/g1^2 + (3*g1^2*t^7.678)/g2^10 + (g2^10*t^7.724)/g1^6 + 2*g1*g2^19*t^7.729 + t^7.783/(g1^2*g2^18) + (g2^2*t^7.83)/g1^10 + (g2^11*t^7.835)/g1^3 + (g1*t^7.894)/g2^17 + g2^12*t^7.945 + (g2^41*t^7.997)/g1 + (g1^4*t^8.004)/g2^16 - (2*g2^4*t^8.051)/g1^4 + 3*g1^3*g2^13*t^8.056 + t^8.109/g2^24 - (2*g2^5*t^8.161)/g1 + (g2^16*t^8.202)/g1^16 + (g2^25*t^8.208)/g1^9 + (g2^34*t^8.213)/g1^2 + (2*g1^3*t^8.22)/g2^23 + t^8.266/(g1^5*g2^3) + 2*g1^2*g2^6*t^8.272 + (g2^17*t^8.313)/g1^13 + (g2^26*t^8.318)/g1^6 + g1*g2^35*t^8.323 - t^8.377/(g1^2*g2^2) + (2*g2^18*t^8.423)/g1^10 + (g2^27*t^8.429)/g1^3 + (g1^2*t^8.436)/g2^30 + t^8.482/(g1^6*g2^10) - (6*g1*t^8.487)/g2 + (2*g2^19*t^8.534)/g1^7 + g2^28*t^8.539 + (g1^5*t^8.546)/g2^29 - t^8.593/(g1^3*g2^9) + 2*g1^4*t^8.598 + (2*g2^11*t^8.639)/g1^11 + (3*g2^20*t^8.644)/g1^4 + 2*g1^3*g2^29*t^8.649 - (2*t^8.703)/g2^8 + (2*g2^12*t^8.75)/g1^8 + (g2^21*t^8.755)/g1 + (g1^4*t^8.762)/g2^36 + (g1^3*t^8.814)/g2^7 + (g2^4*t^8.855)/g1^12 + (4*g2^13*t^8.86)/g1^5 + 2*g1^2*g2^22*t^8.865 + (g2^5*t^8.965)/g1^9 + (2*g2^14*t^8.971)/g1^2 - t^4.352/(g2^4*y) - t^6.402/(g1^4*y) - (g2*t^6.513)/(g1*y) - (g1*t^6.839)/(g2^5*y) - t^7.055/(g2^12*y) + (g2^9*t^7.212)/(g1^5*y) + (g2^10*t^7.322)/(g1^2*y) - (g1^2*t^7.381)/(g2^18*y) + (2*g2^3*t^7.538)/(g1^3*y) + (3*g2^4*t^7.648)/y + t^7.754/(g1^4*g2^4*y) + (2*t^7.864)/(g1*g2^3*y) + (g1^2*t^7.975)/(g2^2*y) + t^8.08/(g1^2*g2^10*y) + (g2^19*t^8.132)/(g1^3*y) + (4*g1*t^8.19)/(g2^9*y) + (g2^20*t^8.242)/y + (g1^4*t^8.301)/(g2^8*y) - (g2^4*t^8.453)/(g1^8*y) + (2*g1^3*t^8.517)/(g2^15*y) - (g2^5*t^8.563)/(g1^5*y) + (2*g1^2*g2^14*t^8.568)/y + (g1^2*t^8.733)/(g2^22*y) + t^8.779/(g1^6*g2^2*y) + (2*g1*g2^7*t^8.784)/y - (t^4.352*y)/g2^4 - (t^6.402*y)/g1^4 - (g2*t^6.513*y)/g1 - (g1*t^6.839*y)/g2^5 - (t^7.055*y)/g2^12 + (g2^9*t^7.212*y)/g1^5 + (g2^10*t^7.322*y)/g1^2 - (g1^2*t^7.381*y)/g2^18 + (2*g2^3*t^7.538*y)/g1^3 + 3*g2^4*t^7.648*y + (t^7.754*y)/(g1^4*g2^4) + (2*t^7.864*y)/(g1*g2^3) + (g1^2*t^7.975*y)/g2^2 + (t^8.08*y)/(g1^2*g2^10) + (g2^19*t^8.132*y)/g1^3 + (4*g1*t^8.19*y)/g2^9 + g2^20*t^8.242*y + (g1^4*t^8.301*y)/g2^8 - (g2^4*t^8.453*y)/g1^8 + (2*g1^3*t^8.517*y)/g2^15 - (g2^5*t^8.563*y)/g1^5 + 2*g1^2*g2^14*t^8.568*y + (g1^2*t^8.733*y)/g2^22 + (t^8.779*y)/(g1^6*g2^2) + 2*g1*g2^7*t^8.784*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4764 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{9}$ | 0.6783 | 0.8471 | 0.8007 | [M:[1.0044, 0.799, 0.9775, 0.8259, 1.1741, 0.7232, 0.8259, 1.201, 1.0225], q:[0.5961, 0.3995], qb:[0.4264, 0.7746], phi:[0.4509]] | t^2.17 + 2*t^2.478 + t^2.705 + t^3.013 + t^3.067 + t^3.603 + t^3.75 + t^3.911 + t^4.112 + 2*t^4.339 + t^4.42 + 2*t^4.647 + t^4.875 + t^4.929 + 3*t^4.956 + 3*t^5.183 + t^5.237 + t^5.491 + 2*t^5.545 + t^5.718 + 2*t^5.773 - 3*t^6. - t^4.353/y - t^4.353*y | detail |