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 |
---|---|---|---|---|---|---|---|---|---|
4718 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7013 | 0.8867 | 0.7909 | [M:[1.0301, 0.7744, 0.9662, 0.8383, 1.1617, 0.9699, 0.8383, 0.7105], q:[0.5827, 0.3872], qb:[0.4511, 0.7744], phi:[0.4511]] | [M:[[-18], [2], [-13], [-3], [3], [18], [-3], [7]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$ | ${}$ | -2 | t^2.132 + t^2.323 + 2*t^2.515 + t^2.707 + t^2.898 + t^2.91 + t^3.677 + t^4.06 + t^4.071 + 2*t^4.263 + 2*t^4.455 + 3*t^4.647 + 3*t^4.838 + t^4.85 + 5*t^5.03 + t^5.041 + 3*t^5.222 + t^5.233 + 2*t^5.413 + 2*t^5.425 + t^5.617 + t^5.797 + t^5.808 + t^5.82 - 2*t^6. + t^6.192 + t^6.203 + t^6.383 + 2*t^6.395 + 2*t^6.575 + 4*t^6.587 + 5*t^6.778 + 6*t^6.97 + 2*t^6.981 + 6*t^7.162 + 3*t^7.173 + 5*t^7.353 + 3*t^7.365 + 7*t^7.545 + 3*t^7.556 + 5*t^7.737 + 2*t^7.748 + t^7.76 + 4*t^7.929 + 3*t^7.94 + t^7.951 + 2*t^8.12 - t^8.132 + t^8.143 + t^8.312 - 2*t^8.323 + 3*t^8.335 + t^8.504 - 5*t^8.515 + 4*t^8.526 + t^8.695 - t^8.707 + 3*t^8.718 + t^8.729 - 2*t^8.898 + 3*t^8.91 + t^8.921 - t^4.353/y - t^6.485/y - t^6.677/y - t^6.868/y - t^7.06/y - t^7.252/y + (2*t^7.455)/y + (3*t^7.647)/y + (4*t^7.838)/y + (4*t^8.03)/y + t^8.041/y + (4*t^8.222)/y + t^8.233/y + (2*t^8.413)/y + (2*t^8.425)/y + t^8.605/y + t^8.808/y - t^4.353*y - t^6.485*y - t^6.677*y - t^6.868*y - t^7.06*y - t^7.252*y + 2*t^7.455*y + 3*t^7.647*y + 4*t^7.838*y + 4*t^8.03*y + t^8.041*y + 4*t^8.222*y + t^8.233*y + 2*t^8.413*y + 2*t^8.425*y + t^8.605*y + t^8.808*y | g1^7*t^2.132 + g1^2*t^2.323 + (2*t^2.515)/g1^3 + t^2.707/g1^8 + t^2.898/g1^13 + g1^18*t^2.91 + t^3.677/g1^2 + t^4.06/g1^12 + g1^19*t^4.071 + 2*g1^14*t^4.263 + 2*g1^9*t^4.455 + 3*g1^4*t^4.647 + (3*t^4.838)/g1 + g1^30*t^4.85 + (5*t^5.03)/g1^6 + g1^25*t^5.041 + (3*t^5.222)/g1^11 + g1^20*t^5.233 + (2*t^5.413)/g1^16 + 2*g1^15*t^5.425 + g1^10*t^5.617 + t^5.797/g1^26 + g1^5*t^5.808 + g1^36*t^5.82 - 2*t^6. + t^6.192/g1^5 + g1^26*t^6.203 + t^6.383/g1^10 + 2*g1^21*t^6.395 + (2*t^6.575)/g1^15 + 4*g1^16*t^6.587 + 5*g1^11*t^6.778 + 6*g1^6*t^6.97 + 2*g1^37*t^6.981 + 6*g1*t^7.162 + 3*g1^32*t^7.173 + (5*t^7.353)/g1^4 + 3*g1^27*t^7.365 + (7*t^7.545)/g1^9 + 3*g1^22*t^7.556 + (5*t^7.737)/g1^14 + 2*g1^17*t^7.748 + g1^48*t^7.76 + (4*t^7.929)/g1^19 + 3*g1^12*t^7.94 + g1^43*t^7.951 + (2*t^8.12)/g1^24 - g1^7*t^8.132 + g1^38*t^8.143 + t^8.312/g1^29 - 2*g1^2*t^8.323 + 3*g1^33*t^8.335 + t^8.504/g1^34 - (5*t^8.515)/g1^3 + 4*g1^28*t^8.526 + t^8.695/g1^39 - t^8.707/g1^8 + 3*g1^23*t^8.718 + g1^54*t^8.729 - (2*t^8.898)/g1^13 + 3*g1^18*t^8.91 + g1^49*t^8.921 - t^4.353/(g1^4*y) - (g1^3*t^6.485)/y - t^6.677/(g1^2*y) - t^6.868/(g1^7*y) - t^7.06/(g1^12*y) - t^7.252/(g1^17*y) + (2*g1^9*t^7.455)/y + (3*g1^4*t^7.647)/y + (4*t^7.838)/(g1*y) + (4*t^8.03)/(g1^6*y) + (g1^25*t^8.041)/y + (4*t^8.222)/(g1^11*y) + (g1^20*t^8.233)/y + (2*t^8.413)/(g1^16*y) + (2*g1^15*t^8.425)/y + t^8.605/(g1^21*y) + (g1^5*t^8.808)/y - (t^4.353*y)/g1^4 - g1^3*t^6.485*y - (t^6.677*y)/g1^2 - (t^6.868*y)/g1^7 - (t^7.06*y)/g1^12 - (t^7.252*y)/g1^17 + 2*g1^9*t^7.455*y + 3*g1^4*t^7.647*y + (4*t^7.838*y)/g1 + (4*t^8.03*y)/g1^6 + g1^25*t^8.041*y + (4*t^8.222*y)/g1^11 + g1^20*t^8.233*y + (2*t^8.413*y)/g1^16 + 2*g1^15*t^8.425*y + (t^8.605*y)/g1^21 + g1^5*t^8.808*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 |
---|---|---|---|---|---|---|---|---|
6281 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{9}$ | 0.6834 | 0.8545 | 0.7997 | [M:[1.0266, 0.7748, 0.9636, 0.8378, 1.1622, 0.9734, 0.8378, 0.7119, 1.2252], q:[0.586, 0.3874], qb:[0.4503, 0.7748], phi:[0.4503]] | t^2.136 + 2*t^2.513 + t^2.702 + t^2.891 + t^2.92 + 2*t^3.676 + t^4.053 + t^4.083 + 2*t^4.271 + t^4.46 + 2*t^4.649 + t^4.838 + t^4.867 + 4*t^5.027 + t^5.056 + 2*t^5.215 + 2*t^5.404 + 2*t^5.434 + t^5.622 + t^5.782 + 2*t^5.811 + t^5.841 - 3*t^6. - t^4.351/y - t^4.351*y | detail | |
6282 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7192 | 0.9189 | 0.7827 | [M:[1.0335, 0.7741, 0.9687, 0.8389, 1.1611, 0.9665, 0.8389, 0.7092, 0.7741], q:[0.5794, 0.387], qb:[0.4519, 0.7741], phi:[0.4519]] | t^2.128 + 2*t^2.322 + 2*t^2.517 + t^2.711 + t^2.899 + t^2.906 + t^4.06 + t^4.067 + 2*t^4.255 + 3*t^4.45 + 5*t^4.644 + t^4.832 + 5*t^4.839 + t^5.027 + 6*t^5.034 + 2*t^5.222 + 4*t^5.228 + 2*t^5.416 + 2*t^5.423 + t^5.611 + t^5.799 + t^5.812 - 3*t^6. - t^4.356/y - t^4.356*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 |
---|---|---|---|---|---|---|---|---|---|
2626 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.681 | 0.8482 | 0.8029 | [M:[1.0242, 0.7751, 0.9619, 0.8374, 1.1626, 0.9758, 0.8374], q:[0.5882, 0.3875], qb:[0.4498, 0.7751], phi:[0.4498]] | t^2.325 + 2*t^2.512 + t^2.699 + t^2.886 + t^2.927 + t^3.675 + t^3.862 + t^4.048 + t^4.09 + t^4.277 + t^4.464 + t^4.651 + 2*t^4.837 + t^4.879 + 4*t^5.024 + 3*t^5.211 + t^5.253 + 2*t^5.398 + 2*t^5.439 + t^5.626 + t^5.772 + t^5.855 - 2*t^6. - t^4.349/y - t^4.349*y | detail |