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 |
---|---|---|---|---|---|---|---|---|---|
57367 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.2677 | 1.4802 | 0.8564 | [X:[1.4, 1.4], M:[0.8], q:[0.3833, 0.3833], qb:[0.6167, 0.2167], phi:[0.4]] | [X:[[0, -1], [0, 1]], M:[[0, 0]], q:[[-1, 1], [-1, -1]], qb:[[1, 0], [1, 0]], phi:[[0, 0]]] | 2 | {a: 20283/16000, c: 23683/16000, X1: 7/5, X2: 7/5, M1: 4/5, q1: 23/60, q2: 23/60, qb1: 37/60, qb2: 13/60, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | ${}\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | 3 | 2*t^2.4 + 4*t^3. + 6*t^4.2 + t^4.35 + 2*t^4.65 + 2*t^4.8 + 10*t^5.4 + 3*t^5.55 + 2*t^5.85 + 3*t^6. - t^6.45 + 10*t^6.6 + 4*t^6.75 + 8*t^7.05 + 18*t^7.2 + 2*t^7.65 + 8*t^7.8 + 5*t^7.95 + 2*t^8.25 + 29*t^8.4 + 8*t^8.55 + t^8.7 + 5*t^8.85 - t^4.2/y - t^5.4/y - (2*t^6.6)/y - (2*t^7.2)/y + (2*t^8.4)/y - t^4.2*y - t^5.4*y - 2*t^6.6*y - 2*t^7.2*y + 2*t^8.4*y | 2*t^2.4 + (2*t^3.)/g2 + 2*g2*t^3. + (3*t^4.2)/g2 + 3*g2*t^4.2 + g1^3*t^4.35 + t^4.65/(g1^3*g2) + (g2*t^4.65)/g1^3 + 2*t^4.8 + (5*t^5.4)/g2 + 5*g2*t^5.4 + 3*g1^3*t^5.55 + t^5.85/(g1^3*g2) + (g2*t^5.85)/g1^3 - t^6. + (2*t^6.)/g2^2 + 2*g2^2*t^6. - t^6.45/g1^3 + (5*t^6.6)/g2 + 5*g2*t^6.6 + 4*g1^3*t^6.75 + t^7.05/(g1^3*g2^3) + (3*t^7.05)/(g1^3*g2) + (3*g2*t^7.05)/g1^3 + (g2^3*t^7.05)/g1^3 + 8*t^7.2 + (5*t^7.2)/g2^2 + 5*g2^2*t^7.2 + t^7.65/(g1^3*g2^2) + (g2^2*t^7.65)/g1^3 + (4*t^7.8)/g2 + 4*g2*t^7.8 + 5*g1^3*t^7.95 + t^8.25/(g1^3*g2) + (g2*t^8.25)/g1^3 + 7*t^8.4 + (11*t^8.4)/g2^2 + 11*g2^2*t^8.4 + (4*g1^3*t^8.55)/g2 + 4*g1^3*g2*t^8.55 + g1^6*t^8.7 + t^8.85/g1^3 + (2*t^8.85)/(g1^3*g2^2) + (2*g2^2*t^8.85)/g1^3 - t^4.2/y - t^5.4/y - (2*t^6.6)/y - t^7.2/(g2*y) - (g2*t^7.2)/y + t^8.4/(g2*y) + (g2*t^8.4)/y - t^4.2*y - t^5.4*y - 2*t^6.6*y - (t^7.2*y)/g2 - g2*t^7.2*y + (t^8.4*y)/g2 + g2*t^8.4*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 |
---|---|---|---|---|---|---|---|---|
58426 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.0635 | 1.276 | 0.8335 | [X:[1.4, 1.4], M:[0.8], q:[0.2, 0.2], qb:[0.8, 0.4], phi:[0.4]] | 2*t^2.4 + 6*t^3. + 8*t^4.2 + t^4.8 + 18*t^5.4 + 9*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2127/2000, c: 319/250, X1: 7/5, X2: 7/5, M1: 4/5, q1: 1/5, q2: 1/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
58422 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.2664 | 1.4789 | 0.8563 | [X:[1.411, 1.389], M:[0.8], q:[0.3853, 0.4073], qb:[0.6037, 0.2037], phi:[0.4]] | 2*t^2.4 + 2*t^2.97 + 2*t^3.03 + 3*t^4.17 + 4*t^4.23 + t^4.73 + 3*t^4.8 + 5*t^5.37 + 8*t^5.43 + 3*t^5.93 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
---|---|---|---|---|---|---|---|---|---|
47892 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{5}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.2512 | 1.4512 | 0.8622 | [X:[1.4, 1.4], q:[0.3833, 0.3833], qb:[0.6167, 0.2167], phi:[0.4]] | t^2.4 + 4*t^3. + t^3.6 + 6*t^4.2 + t^4.35 + 2*t^4.65 + 6*t^5.4 + 3*t^5.55 + 2*t^5.85 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 20019/16000, c: 23219/16000, X1: 7/5, X2: 7/5, q1: 23/60, q2: 23/60, qb1: 37/60, qb2: 13/60, phi1: 2/5} |