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 |
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55269 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ | 0.5709 | 0.6949 | 0.8216 | [X:[1.4103], M:[1.1795, 0.9829, 0.8205, 0.5897, 1.0171, 0.9829], q:[0.2949, 0.5257], qb:[0.7222, 0.8846], phi:[0.3932]] | [X:[[6]], M:[[-12], [-10], [12], [-6], [10], [-10]], q:[[-3], [15]], qb:[[13], [-9]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.359 + t^2.462 + 2*t^2.949 + t^3.538 + t^3.641 + t^3.744 + t^4.231 + t^4.333 + t^4.718 + 2*t^4.821 + t^4.923 + t^5.308 + t^5.41 + 3*t^5.897 - t^6. + t^6.103 + t^6.205 + t^6.487 + 2*t^6.692 + t^6.795 + t^7.077 + 2*t^7.179 + 2*t^7.282 + t^7.385 + t^7.487 + t^7.667 + t^7.769 + t^7.974 + t^8.077 + t^8.256 - t^8.462 + 2*t^8.564 + 2*t^8.667 + 3*t^8.846 - 4*t^8.949 - t^4.179/y - t^6.538/y - t^7.128/y + t^7.231/y + (2*t^7.821)/y + (2*t^8.308)/y + (2*t^8.41)/y + t^8.897/y - t^4.179*y - t^6.538*y - t^7.128*y + t^7.231*y + 2*t^7.821*y + 2*t^8.308*y + 2*t^8.41*y + t^8.897*y | t^2.359/g1^8 + g1^12*t^2.462 + (2*t^2.949)/g1^10 + t^3.538/g1^12 + g1^8*t^3.641 + g1^28*t^3.744 + g1^6*t^4.231 + g1^26*t^4.333 + t^4.718/g1^16 + 2*g1^4*t^4.821 + g1^24*t^4.923 + t^5.308/g1^18 + g1^2*t^5.41 + (3*t^5.897)/g1^20 - t^6. + g1^20*t^6.103 + g1^40*t^6.205 + t^6.487/g1^22 + 2*g1^18*t^6.692 + g1^38*t^6.795 + t^7.077/g1^24 + (2*t^7.179)/g1^4 + 2*g1^16*t^7.282 + g1^36*t^7.385 + g1^56*t^7.487 + t^7.667/g1^26 + t^7.769/g1^6 + g1^34*t^7.974 + g1^54*t^8.077 + t^8.256/g1^28 - g1^12*t^8.462 + 2*g1^32*t^8.564 + 2*g1^52*t^8.667 + (3*t^8.846)/g1^30 - (4*t^8.949)/g1^10 - t^4.179/(g1^4*y) - t^6.538/(g1^12*y) - t^7.128/(g1^14*y) + (g1^6*t^7.231)/y + (2*g1^4*t^7.821)/y + (2*t^8.308)/(g1^18*y) + (2*g1^2*t^8.41)/y + t^8.897/(g1^20*y) - (t^4.179*y)/g1^4 - (t^6.538*y)/g1^12 - (t^7.128*y)/g1^14 + g1^6*t^7.231*y + 2*g1^4*t^7.821*y + (2*t^8.308*y)/g1^18 + 2*g1^2*t^8.41*y + (t^8.897*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
56924 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.5906 | 0.7314 | 0.8075 | [X:[1.4176], M:[1.1649, 0.9707, 0.8351, 0.5824, 1.0293, 0.9707, 0.7181], q:[0.2912, 0.5439], qb:[0.738, 0.8737], phi:[0.3883]] | t^2.154 + t^2.33 + t^2.505 + 2*t^2.912 + t^3.495 + t^3.67 + t^4.253 + t^4.308 + t^4.428 + t^4.484 + 2*t^4.66 + 2*t^4.835 + t^5.011 + 2*t^5.066 + t^5.242 + t^5.418 + t^5.649 + 4*t^5.824 - t^6. - t^4.165/y - t^4.165*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 |
---|---|---|---|---|---|---|---|---|---|
46915 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ | 0.57 | 0.6947 | 0.8205 | [X:[1.4014], M:[1.1972, 0.9977, 0.8028, 0.5986, 1.0023], q:[0.2993, 0.5035], qb:[0.703, 0.8979], phi:[0.3991]] | t^2.394 + t^2.408 + t^2.993 + t^3.007 + t^3.592 + t^3.606 + t^3.62 + t^4.204 + t^4.218 + t^4.789 + 2*t^4.803 + t^4.817 + t^5.401 + t^5.415 + t^5.986 - t^4.197/y - t^4.197*y | detail |