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 |
---|---|---|---|---|---|---|---|---|---|
55073 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6315 | 0.779 | 0.8106 | [M:[1.1802, 0.7538, 0.8198, 0.8198, 1.2132, 0.8198], q:[0.4099, 0.4099], qb:[0.8363, 0.7703], phi:[0.3934]] | [M:[[6], [14], [-6], [-6], [-4], [-6]], q:[[-3], [-3]], qb:[[-11], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}M_{2}q_{2}\tilde{q}_{1}$ | -4 | t^2.261 + 3*t^2.459 + 4*t^3.64 + t^3.739 + t^4.523 + 3*t^4.721 + t^4.82 + 6*t^4.919 + 2*t^5.901 - 4*t^6. + 10*t^6.099 + 3*t^6.198 + t^6.784 + 3*t^6.982 - t^7.081 + 6*t^7.279 + 12*t^7.378 + t^7.477 + 2*t^8.162 - 4*t^8.261 + 3*t^8.36 - 12*t^8.459 + 17*t^8.558 + 6*t^8.657 - t^4.18/y - t^6.442/y - (2*t^6.64)/y + (5*t^7.721)/y + (4*t^7.919)/y - t^8.703/y + (2*t^8.901)/y - t^4.18*y - t^6.442*y - 2*t^6.64*y + 5*t^7.721*y + 4*t^7.919*y - t^8.703*y + 2*t^8.901*y | g1^14*t^2.261 + (3*t^2.459)/g1^6 + (4*t^3.64)/g1^4 + t^3.739/g1^14 + g1^28*t^4.523 + 3*g1^8*t^4.721 + t^4.82/g1^2 + (6*t^4.919)/g1^12 + 2*g1^10*t^5.901 - 4*t^6. + (10*t^6.099)/g1^10 + (3*t^6.198)/g1^20 + g1^42*t^6.784 + 3*g1^22*t^6.982 - g1^12*t^7.081 + (6*t^7.279)/g1^8 + (12*t^7.378)/g1^18 + t^7.477/g1^28 + 2*g1^24*t^8.162 - 4*g1^14*t^8.261 + 3*g1^4*t^8.36 - (12*t^8.459)/g1^6 + (17*t^8.558)/g1^16 + (6*t^8.657)/g1^26 - (g1^2*t^4.18)/y - (g1^16*t^6.442)/y - (2*t^6.64)/(g1^4*y) + (5*g1^8*t^7.721)/y + (4*t^7.919)/(g1^12*y) - (g1^30*t^8.703)/y + (2*g1^10*t^8.901)/y - g1^2*t^4.18*y - g1^16*t^6.442*y - (2*t^6.64*y)/g1^4 + 5*g1^8*t^7.721*y + (4*t^7.919*y)/g1^12 - g1^30*t^8.703*y + 2*g1^10*t^8.901*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 |
---|---|---|---|---|---|---|---|---|
56724 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}^{2}$ | 0.5904 | 0.7511 | 0.786 | [M:[1.2857, 1.0, 0.7143, 0.7143, 1.1429, 0.7143], q:[0.3571, 0.3571], qb:[0.6429, 0.9286], phi:[0.4286]] | 3*t^2.143 + 2*t^3. + 4*t^3.429 + 6*t^4.286 + t^4.714 + 6*t^5.143 + 10*t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 405/686, c: 2061/2744, M1: 9/7, M2: 1, M3: 5/7, M4: 5/7, M5: 8/7, M6: 5/7, q1: 5/14, q2: 5/14, qb1: 9/14, qb2: 13/14, phi1: 3/7} |
56731 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6509 | 0.814 | 0.7996 | [M:[1.1703, 0.7307, 0.8297, 0.8297, 1.2198, 0.8297, 0.7307], q:[0.4148, 0.4148], qb:[0.8544, 0.7555], phi:[0.3901]] | 2*t^2.192 + 3*t^2.489 + 4*t^3.659 + 3*t^4.384 + 6*t^4.681 + t^4.83 + 6*t^4.978 + 6*t^5.852 - 5*t^6. - t^4.17/y - t^4.17*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 |
---|---|---|---|---|---|---|---|---|---|
46884 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6165 | 0.7522 | 0.8196 | [M:[1.1712, 0.7328, 0.8288, 0.8288, 1.2192], q:[0.4144, 0.4144], qb:[0.8528, 0.7568], phi:[0.3904]] | t^2.198 + 2*t^2.486 + t^3.514 + 4*t^3.658 + t^3.802 + t^4.397 + 2*t^4.685 + t^4.829 + 3*t^4.973 + t^5.712 + 2*t^5.856 - 2*t^6. - t^4.171/y - t^4.171*y | detail |