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 |
---|---|---|---|---|---|---|---|---|---|
3402 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6166 | 0.7496 | 0.8226 | [X:[1.6131], M:[0.7408, 0.8066, 0.3869, 1.1606, 0.8394, 1.2592], q:[0.8559, 0.4033], qb:[0.7573, 0.4362], phi:[0.3869]] | [X:[[4]], M:[[-18], [2], [-4], [-12], [12], [18]], q:[[17], [1]], qb:[[-13], [11]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | 0 | t^2.321 + t^2.42 + t^2.518 + t^3.482 + t^3.58 + t^3.679 + 2*t^3.777 + t^3.876 + t^4.642 + t^4.741 + 3*t^4.839 + t^4.938 + t^5.037 + 2*t^6.099 + 3*t^6.197 + 3*t^6.296 + t^6.394 + t^6.963 + 2*t^7.161 + 2*t^7.259 + 3*t^7.358 + 2*t^7.456 + 4*t^7.555 + 2*t^7.654 + t^7.752 - t^8.223 - t^8.321 - 2*t^8.42 + 4*t^8.617 + 4*t^8.716 + 3*t^8.814 + t^8.913 - t^4.161/y - t^6.482/y - t^6.58/y + (2*t^7.741)/y + (2*t^7.839)/y + t^7.938/y + t^8.901/y - t^4.161*y - t^6.482*y - t^6.58*y + 2*t^7.741*y + 2*t^7.839*y + t^7.938*y + t^8.901*y | t^2.321/g1^8 + g1^2*t^2.42 + g1^12*t^2.518 + t^3.482/g1^12 + t^3.58/g1^2 + g1^8*t^3.679 + 2*g1^18*t^3.777 + g1^28*t^3.876 + t^4.642/g1^16 + t^4.741/g1^6 + 3*g1^4*t^4.839 + g1^14*t^4.938 + g1^24*t^5.037 + 2*g1^10*t^6.099 + 3*g1^20*t^6.197 + 3*g1^30*t^6.296 + g1^40*t^6.394 + t^6.963/g1^24 + (2*t^7.161)/g1^4 + 2*g1^6*t^7.259 + 3*g1^16*t^7.358 + 2*g1^26*t^7.456 + 4*g1^36*t^7.555 + 2*g1^46*t^7.654 + g1^56*t^7.752 - t^8.223/g1^18 - t^8.321/g1^8 - 2*g1^2*t^8.42 + 4*g1^22*t^8.617 + 4*g1^32*t^8.716 + 3*g1^42*t^8.814 + g1^52*t^8.913 - t^4.161/(g1^4*y) - t^6.482/(g1^12*y) - t^6.58/(g1^2*y) + (2*t^7.741)/(g1^6*y) + (2*g1^4*t^7.839)/y + (g1^14*t^7.938)/y + t^8.901/(g1^10*y) - (t^4.161*y)/g1^4 - (t^6.482*y)/g1^12 - (t^6.58*y)/g1^2 + (2*t^7.741*y)/g1^6 + 2*g1^4*t^7.839*y + g1^14*t^7.938*y + (t^8.901*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
3889 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6005 | 0.7211 | 0.8327 | [X:[1.614], M:[0.7368, 0.807, 0.386, 1.1579, 0.8421, 1.2632, 1.193], q:[0.8596, 0.4035], qb:[0.7544, 0.4386], phi:[0.386]] | t^2.316 + t^2.526 + t^3.474 + 2*t^3.579 + t^3.684 + 2*t^3.789 + t^3.895 + t^4.632 + 2*t^4.842 + t^5.053 - t^6. - t^4.158/y - t^4.158*y | detail | {a: 5203/8664, c: 781/1083, X1: 92/57, M1: 14/19, M2: 46/57, M3: 22/57, M4: 22/19, M5: 16/19, M6: 24/19, M7: 68/57, q1: 49/57, q2: 23/57, qb1: 43/57, qb2: 25/57, phi1: 22/57} |
3890 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6327 | 0.7781 | 0.8131 | [X:[1.6123], M:[0.7448, 0.8061, 0.3877, 1.1632, 0.8368, 1.2552, 0.8061], q:[0.8521, 0.4031], qb:[0.7601, 0.4337], phi:[0.3877]] | t^2.326 + 2*t^2.418 + t^2.51 + t^3.49 + t^3.674 + 2*t^3.766 + t^3.858 + t^4.653 + 2*t^4.745 + 5*t^4.837 + 2*t^4.929 + t^5.021 - t^6. - t^4.163/y - t^4.163*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 |
---|---|---|---|---|---|---|---|---|---|
2844 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6363 | 0.7853 | 0.8103 | [X:[1.6169], M:[0.7237, 0.8085, 0.3831, 1.1492, 0.8508], q:[0.872, 0.4042], qb:[0.7449, 0.4466], phi:[0.3831]] | t^2.171 + t^2.298 + t^2.425 + t^2.553 + t^3.447 + t^3.575 + t^3.702 + t^3.829 + t^3.956 + t^4.342 + t^4.47 + 2*t^4.597 + 2*t^4.724 + 3*t^4.851 + t^4.978 + t^5.105 + t^5.619 + t^5.746 + t^5.873 + t^6. - t^4.149/y - t^4.149*y | detail |