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 |
---|---|---|---|---|---|---|---|---|---|
5473 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6216 | 0.7998 | 0.7772 | [M:[0.815, 0.8887, 0.9816, 0.7222, 1.2778, 0.7222, 1.0184, 0.8519], q:[0.7406, 0.4444], qb:[0.2778, 0.8335], phi:[0.4259]] | [M:[[16], [-12], [7], [-3], [3], [-3], [-7], [2]], q:[[-10], [-6]], qb:[[3], [9]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$ | ${}$ | -2 | 2*t^2.167 + t^2.445 + 2*t^2.556 + t^2.666 + t^2.945 + t^3.055 + t^3.944 + 3*t^4.333 + 2*t^4.612 + 5*t^4.722 + 2*t^4.833 + t^4.89 + 2*t^5.001 + 6*t^5.111 + 4*t^5.222 + t^5.332 + t^5.39 + 2*t^5.5 + 2*t^5.611 + t^5.721 - 2*t^6. + 2*t^6.111 - t^6.389 + 4*t^6.5 + t^6.61 + t^6.778 + 5*t^6.889 + 3*t^6.999 + 2*t^7.057 + 4*t^7.167 + 10*t^7.278 + t^7.335 + 6*t^7.388 + 2*t^7.446 + 2*t^7.499 + 6*t^7.556 + 9*t^7.667 + 7*t^7.777 + t^7.835 + 5*t^7.888 + 2*t^7.945 + t^7.999 + 2*t^8.056 - 3*t^8.167 + 4*t^8.277 + t^8.388 - 3*t^8.445 - 8*t^8.556 + 2*t^8.666 + 2*t^8.777 - t^8.834 - 5*t^8.945 - t^4.278/y - t^6.444/y - t^6.723/y - (2*t^6.833)/y - t^6.944/y + t^7.333/y + (3*t^7.612)/y + (6*t^7.722)/y + (3*t^7.833)/y + (2*t^8.001)/y + (5*t^8.111)/y + (4*t^8.222)/y + t^8.39/y + (3*t^8.5)/y + (2*t^8.611)/y + t^8.721/y - t^8.889/y - t^4.278*y - t^6.444*y - t^6.723*y - 2*t^6.833*y - t^6.944*y + t^7.333*y + 3*t^7.612*y + 6*t^7.722*y + 3*t^7.833*y + 2*t^8.001*y + 5*t^8.111*y + 4*t^8.222*y + t^8.39*y + 3*t^8.5*y + 2*t^8.611*y + t^8.721*y - t^8.889*y | (2*t^2.167)/g1^3 + g1^16*t^2.445 + 2*g1^2*t^2.556 + t^2.666/g1^12 + g1^7*t^2.945 + t^3.055/g1^7 + t^3.944/g1^11 + (3*t^4.333)/g1^6 + 2*g1^13*t^4.612 + (5*t^4.722)/g1 + (2*t^4.833)/g1^15 + g1^32*t^4.89 + 2*g1^18*t^5.001 + 6*g1^4*t^5.111 + (4*t^5.222)/g1^10 + t^5.332/g1^24 + g1^23*t^5.39 + 2*g1^9*t^5.5 + (2*t^5.611)/g1^5 + t^5.721/g1^19 - 2*t^6. + (2*t^6.111)/g1^14 - g1^5*t^6.389 + (4*t^6.5)/g1^9 + t^6.61/g1^23 + g1^10*t^6.778 + (5*t^6.889)/g1^4 + (3*t^6.999)/g1^18 + 2*g1^29*t^7.057 + 4*g1^15*t^7.167 + 10*g1*t^7.278 + g1^48*t^7.335 + (6*t^7.388)/g1^13 + 2*g1^34*t^7.446 + (2*t^7.499)/g1^27 + 6*g1^20*t^7.556 + 9*g1^6*t^7.667 + (7*t^7.777)/g1^8 + g1^39*t^7.835 + (5*t^7.888)/g1^22 + 2*g1^25*t^7.945 + t^7.999/g1^36 + 2*g1^11*t^8.056 - (3*t^8.167)/g1^3 + (4*t^8.277)/g1^17 + t^8.388/g1^31 - 3*g1^16*t^8.445 - 8*g1^2*t^8.556 + (2*t^8.666)/g1^12 + (2*t^8.777)/g1^26 - g1^21*t^8.834 - 5*g1^7*t^8.945 - (g1*t^4.278)/y - t^6.444/(g1^2*y) - (g1^17*t^6.723)/y - (2*g1^3*t^6.833)/y - t^6.944/(g1^11*y) + t^7.333/(g1^6*y) + (3*g1^13*t^7.612)/y + (6*t^7.722)/(g1*y) + (3*t^7.833)/(g1^15*y) + (2*g1^18*t^8.001)/y + (5*g1^4*t^8.111)/y + (4*t^8.222)/(g1^10*y) + (g1^23*t^8.39)/y + (3*g1^9*t^8.5)/y + (2*t^8.611)/(g1^5*y) + t^8.721/(g1^19*y) - (g1^14*t^8.889)/y - g1*t^4.278*y - (t^6.444*y)/g1^2 - g1^17*t^6.723*y - 2*g1^3*t^6.833*y - (t^6.944*y)/g1^11 + (t^7.333*y)/g1^6 + 3*g1^13*t^7.612*y + (6*t^7.722*y)/g1 + (3*t^7.833*y)/g1^15 + 2*g1^18*t^8.001*y + 5*g1^4*t^8.111*y + (4*t^8.222*y)/g1^10 + g1^23*t^8.39*y + 3*g1^9*t^8.5*y + (2*t^8.611*y)/g1^5 + (t^8.721*y)/g1^19 - g1^14*t^8.889*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 |
---|---|---|---|---|---|---|---|---|
6923 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}M_{9}$ | 0.624 | 0.804 | 0.7761 | [M:[0.7844, 0.9117, 0.9682, 0.7279, 1.2721, 0.7279, 1.0318, 0.8481, 0.9682], q:[0.7597, 0.4558], qb:[0.2721, 0.8162], phi:[0.424]] | 2*t^2.184 + t^2.353 + 2*t^2.544 + t^2.735 + 2*t^2.905 + t^4.007 + 3*t^4.368 + 2*t^4.537 + t^4.707 + 5*t^4.728 + 2*t^4.897 + 2*t^4.919 + 8*t^5.088 + 2*t^5.258 + 2*t^5.279 + 3*t^5.449 + t^5.47 + t^5.64 + 2*t^5.809 - 3*t^6. - t^4.272/y - t^4.272*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 |
---|---|---|---|---|---|---|---|---|---|
3882 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6087 | 0.7778 | 0.7826 | [M:[0.8222, 0.8834, 0.9847, 0.7208, 1.2792, 0.7208, 1.0153], q:[0.7361, 0.4417], qb:[0.2792, 0.8375], phi:[0.4264]] | 2*t^2.163 + t^2.467 + t^2.558 + t^2.65 + t^2.954 + t^3.046 + t^3.442 + t^3.929 + 3*t^4.325 + 2*t^4.629 + 3*t^4.721 + 2*t^4.813 + t^4.933 + t^5.025 + 4*t^5.117 + 3*t^5.208 + t^5.3 + t^5.421 + t^5.512 + 3*t^5.604 + t^5.696 + t^5.908 - t^6. - t^4.279/y - t^4.279*y | detail |