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 |
---|---|---|---|---|---|---|---|---|---|
48141 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6565 | 0.8232 | 0.7974 | [M:[1.1417, 0.7126, 0.8583, 0.8097, 0.7126], q:[0.4049, 0.4534], qb:[0.8825, 0.7369], phi:[0.3806]] | [M:[[12], [18], [-12], [-2], [18]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | 2*t^2.138 + t^2.283 + t^2.429 + t^2.575 + t^3.425 + t^3.571 + t^3.717 + t^4.008 + 3*t^4.276 + 2*t^4.421 + 3*t^4.567 + 3*t^4.713 + 3*t^4.858 + t^5.004 + t^5.15 + 2*t^5.563 + 2*t^5.709 + 2*t^5.854 + 2*t^6.146 + t^6.291 + 4*t^6.413 + t^6.437 + 3*t^6.559 + t^6.583 + 5*t^6.705 + 6*t^6.85 + 6*t^6.996 + 4*t^7.142 + 2*t^7.287 + t^7.433 + 3*t^7.701 + t^7.724 + 3*t^7.846 + 3*t^7.992 + t^8.016 - t^8.138 + 2*t^8.283 - 2*t^8.429 + 5*t^8.551 + 4*t^8.697 + 7*t^8.842 + 2*t^8.866 + 9*t^8.988 - t^4.142/y - (2*t^6.28)/y - t^6.425/y - t^6.571/y + t^7.276/y + (2*t^7.421)/y + (2*t^7.567)/y + (4*t^7.713)/y + (2*t^7.858)/y + (3*t^8.004)/y - (3*t^8.417)/y + (3*t^8.854)/y - t^4.142*y - 2*t^6.28*y - t^6.425*y - t^6.571*y + t^7.276*y + 2*t^7.421*y + 2*t^7.567*y + 4*t^7.713*y + 2*t^7.858*y + 3*t^8.004*y - 3*t^8.417*y + 3*t^8.854*y | 2*g1^18*t^2.138 + g1^8*t^2.283 + t^2.429/g1^2 + t^2.575/g1^12 + g1^12*t^3.425 + g1^2*t^3.571 + t^3.717/g1^8 + t^4.008/g1^28 + 3*g1^36*t^4.276 + 2*g1^26*t^4.421 + 3*g1^16*t^4.567 + 3*g1^6*t^4.713 + (3*t^4.858)/g1^4 + t^5.004/g1^14 + t^5.15/g1^24 + 2*g1^30*t^5.563 + 2*g1^20*t^5.709 + 2*g1^10*t^5.854 + (2*t^6.146)/g1^10 + t^6.291/g1^20 + 4*g1^54*t^6.413 + t^6.437/g1^30 + 3*g1^44*t^6.559 + t^6.583/g1^40 + 5*g1^34*t^6.705 + 6*g1^24*t^6.85 + 6*g1^14*t^6.996 + 4*g1^4*t^7.142 + (2*t^7.287)/g1^6 + t^7.433/g1^16 + 3*g1^48*t^7.701 + t^7.724/g1^36 + 3*g1^38*t^7.846 + 3*g1^28*t^7.992 + t^8.016/g1^56 - g1^18*t^8.138 + 2*g1^8*t^8.283 - (2*t^8.429)/g1^2 + 5*g1^72*t^8.551 + 4*g1^62*t^8.697 + 7*g1^52*t^8.842 + (2*t^8.866)/g1^32 + 9*g1^42*t^8.988 - (g1^4*t^4.142)/y - (2*g1^22*t^6.28)/y - (g1^12*t^6.425)/y - (g1^2*t^6.571)/y + (g1^36*t^7.276)/y + (2*g1^26*t^7.421)/y + (2*g1^16*t^7.567)/y + (4*g1^6*t^7.713)/y + (2*t^7.858)/(g1^4*y) + (3*t^8.004)/(g1^14*y) - (3*g1^40*t^8.417)/y + (3*g1^10*t^8.854)/y - g1^4*t^4.142*y - 2*g1^22*t^6.28*y - g1^12*t^6.425*y - g1^2*t^6.571*y + g1^36*t^7.276*y + 2*g1^26*t^7.421*y + 2*g1^16*t^7.567*y + 4*g1^6*t^7.713*y + (2*t^7.858*y)/g1^4 + (3*t^8.004*y)/g1^14 - 3*g1^40*t^8.417*y + 3*g1^10*t^8.854*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 |
---|---|---|---|---|---|---|---|---|
55899 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6751 | 0.8573 | 0.7874 | [M:[1.1368, 0.7052, 0.8632, 0.8105, 0.7052, 0.7578], q:[0.4053, 0.458], qb:[0.8896, 0.7315], phi:[0.3789]] | 2*t^2.115 + 2*t^2.274 + t^2.432 + t^2.59 + t^3.41 + t^3.568 + t^4.043 + 3*t^4.231 + 4*t^4.389 + 5*t^4.547 + 4*t^4.705 + 4*t^4.863 + t^5.021 + t^5.179 + 2*t^5.526 + 3*t^5.684 + t^5.842 - t^6. - t^4.137/y - t^4.137*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 |
---|---|---|---|---|---|---|---|---|---|
46786 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6572 | 0.8255 | 0.7962 | [M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]] | t^2.065 + t^2.211 + t^2.283 + t^2.356 + t^2.575 + t^3.425 + t^3.498 + t^3.717 + t^4.008 + t^4.129 + t^4.275 + t^4.348 + 2*t^4.421 + t^4.494 + 2*t^4.567 + 2*t^4.64 + t^4.712 + t^4.786 + 2*t^4.858 + t^4.931 + t^5.15 + t^5.49 + t^5.562 + t^5.636 + t^5.708 + 2*t^5.781 + t^5.854 - t^6. - t^4.142/y - t^4.142*y | detail |