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 |
---|---|---|---|---|---|---|---|---|---|
2234 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.6973 | 0.8712 | 0.8004 | [M:[1.0426, 1.109, 0.9668, 0.7394, 0.7394, 0.8152, 1.0332], q:[0.7773, 0.4076], qb:[0.5498, 0.4834], phi:[0.4455]] | [M:[[32], [-12], [22], [-8], [-8], [2], [-22]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.218 + t^2.445 + t^2.673 + t^3.1 + t^3.128 + t^3.327 + t^3.981 + t^4.009 + t^4.209 + t^4.237 + 4*t^4.436 + t^4.636 + 2*t^4.664 + 3*t^4.891 + t^5.118 + 2*t^5.318 + 3*t^5.346 + 3*t^5.545 + t^5.773 - 2*t^6. + 2*t^6.199 + t^6.227 + t^6.255 + 3*t^6.427 + 3*t^6.455 + 7*t^6.654 + t^6.682 + 2*t^6.854 + 3*t^6.882 + 2*t^7.081 + 4*t^7.109 + 2*t^7.308 + 3*t^7.336 + t^7.364 + 3*t^7.536 + 5*t^7.564 + t^7.735 + 4*t^7.763 + t^7.963 + 2*t^7.991 + t^8.019 - 4*t^8.218 + 3*t^8.417 - t^8.445 + 3*t^8.474 + t^8.617 + 5*t^8.645 + 2*t^8.673 + t^8.701 + t^8.844 + 11*t^8.872 - t^4.336/y - (2*t^6.555)/y - t^6.782/y + t^7.209/y + t^7.436/y - t^7.464/y + (2*t^7.664)/y + (3*t^7.891)/y + (3*t^8.118)/y + (2*t^8.318)/y + (2*t^8.346)/y + (3*t^8.545)/y + t^8.573/y - t^8.773/y + t^8.801/y - t^4.336*y - 2*t^6.555*y - t^6.782*y + t^7.209*y + t^7.436*y - t^7.464*y + 2*t^7.664*y + 3*t^7.891*y + 3*t^8.118*y + 2*t^8.318*y + 2*t^8.346*y + 3*t^8.545*y + t^8.573*y - t^8.773*y + t^8.801*y | (2*t^2.218)/g1^8 + g1^2*t^2.445 + g1^12*t^2.673 + t^3.1/g1^22 + g1^32*t^3.128 + t^3.327/g1^12 + t^3.981/g1^36 + g1^18*t^4.009 + t^4.209/g1^26 + g1^28*t^4.237 + (4*t^4.436)/g1^16 + t^4.636/g1^60 + (2*t^4.664)/g1^6 + 3*g1^4*t^4.891 + g1^14*t^5.118 + (2*t^5.318)/g1^30 + 3*g1^24*t^5.346 + (3*t^5.545)/g1^20 + t^5.773/g1^10 - 2*t^6. + (2*t^6.199)/g1^44 + g1^10*t^6.227 + g1^64*t^6.255 + (3*t^6.427)/g1^34 + 3*g1^20*t^6.455 + (7*t^6.654)/g1^24 + g1^30*t^6.682 + (2*t^6.854)/g1^68 + (3*t^6.882)/g1^14 + (2*t^7.081)/g1^58 + (4*t^7.109)/g1^4 + (2*t^7.308)/g1^48 + 3*g1^6*t^7.336 + g1^60*t^7.364 + (3*t^7.536)/g1^38 + 5*g1^16*t^7.564 + t^7.735/g1^82 + (4*t^7.763)/g1^28 + t^7.963/g1^72 + (2*t^7.991)/g1^18 + g1^36*t^8.019 - (4*t^8.218)/g1^8 + (3*t^8.417)/g1^52 - g1^2*t^8.445 + 3*g1^56*t^8.474 + t^8.617/g1^96 + (5*t^8.645)/g1^42 + 2*g1^12*t^8.673 + g1^66*t^8.701 + t^8.844/g1^86 + (11*t^8.872)/g1^32 - (g1^6*t^4.336)/y - (2*t^6.555)/(g1^2*y) - (g1^8*t^6.782)/y + t^7.209/(g1^26*y) + t^7.436/(g1^16*y) - (g1^38*t^7.464)/y + (2*t^7.664)/(g1^6*y) + (3*g1^4*t^7.891)/y + (3*g1^14*t^8.118)/y + (2*t^8.318)/(g1^30*y) + (2*g1^24*t^8.346)/y + (3*t^8.545)/(g1^20*y) + (g1^34*t^8.573)/y - t^8.773/(g1^10*y) + (g1^44*t^8.801)/y - g1^6*t^4.336*y - (2*t^6.555*y)/g1^2 - g1^8*t^6.782*y + (t^7.209*y)/g1^26 + (t^7.436*y)/g1^16 - g1^38*t^7.464*y + (2*t^7.664*y)/g1^6 + 3*g1^4*t^7.891*y + 3*g1^14*t^8.118*y + (2*t^8.318*y)/g1^30 + 2*g1^24*t^8.346*y + (3*t^8.545*y)/g1^20 + g1^34*t^8.573*y - (t^8.773*y)/g1^10 + g1^44*t^8.801*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 |
---|---|---|---|---|---|---|---|---|
4232 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.7074 | 0.8877 | 0.7969 | [M:[1.026, 1.1152, 0.9554, 0.7435, 0.7435, 0.8141, 1.0446, 0.8848], q:[0.7788, 0.4071], qb:[0.5669, 0.4777], phi:[0.4424]] | 2*t^2.23 + t^2.442 + 2*t^2.654 + t^3.078 + t^3.134 + t^3.981 + t^4.037 + t^4.193 + t^4.249 + 4*t^4.461 + 2*t^4.673 + t^4.729 + 5*t^4.885 + 2*t^5.097 + 5*t^5.309 + 2*t^5.364 + t^5.576 + t^5.732 + t^5.788 - 3*t^6. - t^4.327/y - t^4.327*y | detail | |
4233 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.7181 | 0.9125 | 0.787 | [M:[1.0411, 1.1096, 0.9657, 0.7397, 0.7397, 0.8151, 1.0343, 0.6712], q:[0.7774, 0.4075], qb:[0.5514, 0.4829], phi:[0.4452]] | t^2.014 + 2*t^2.219 + t^2.445 + t^2.671 + t^3.103 + t^3.123 + t^3.329 + t^4.007 + t^4.027 + t^4.212 + 3*t^4.233 + 4*t^4.438 + t^4.459 + t^4.644 + 2*t^4.664 + t^4.685 + 3*t^4.89 + 2*t^5.116 + t^5.137 + 2*t^5.322 + 4*t^5.342 + 3*t^5.548 + t^5.774 - 2*t^6. - t^4.336/y - t^4.336*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 |
---|---|---|---|---|---|---|---|---|---|
1179 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7015 | 0.8773 | 0.7996 | [M:[1.0088, 1.1217, 0.9436, 0.7478, 0.7478, 0.8131], q:[0.7804, 0.4065], qb:[0.5847, 0.4718], phi:[0.4392]] | 2*t^2.243 + t^2.439 + t^2.635 + t^2.831 + t^3.026 + t^3.365 + t^3.952 + t^4.095 + t^4.148 + t^4.291 + 4*t^4.487 + 2*t^4.683 + t^4.825 + 3*t^4.878 + 3*t^5.074 + 4*t^5.27 + t^5.466 + 2*t^5.608 + t^5.661 + t^5.857 - 2*t^6. - t^4.317/y - t^4.317*y | detail |