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 |
---|---|---|---|---|---|---|---|---|---|
59049 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.3134 | 1.4652 | 0.8964 | [X:[1.4095], M:[1.1143], q:[0.4033, 0.7651], qb:[0.4158, 0.6445], phi:[0.2952]] | [X:[[6]], M:[[9]], q:[[23], [-1]], qb:[[-11], [7]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.46 + t^3.14 + 2*t^3.34 + t^3.54 + t^4.03 + 3*t^4.23 + t^4.43 + t^4.91 + t^5.11 + t^5.31 + 2*t^5.6 + t^5.8 - t^6. + 2*t^6.29 + t^6.4 + 4*t^6.49 + 6*t^6.69 - t^7.09 + t^7.17 + 6*t^7.37 + 7*t^7.57 + 4*t^7.77 - 2*t^7.97 + 2*t^8.06 - t^8.17 + 2*t^8.26 + 6*t^8.46 + 6*t^8.66 + 3*t^8.74 + 4*t^8.94 + t^8.66/y^2 - t^3.89/y - t^4.77/y - t^6.34/y - t^7.03/y - (2*t^7.23)/y - t^7.43/y - t^7.91/y - (3*t^8.11)/y - t^8.31/y + t^8.6/y + t^8.8/y - t^3.89*y - t^4.77*y - t^6.34*y - t^7.03*y - 2*t^7.23*y - t^7.43*y - t^7.91*y - 3*t^8.11*y - t^8.31*y + t^8.6*y + t^8.8*y + t^8.66*y^2 | g1^12*t^2.46 + g1^30*t^3.14 + 2*g1^9*t^3.34 + t^3.54/g1^12 + g1^27*t^4.03 + 3*g1^6*t^4.23 + t^4.43/g1^15 + g1^24*t^4.91 + g1^3*t^5.11 + t^5.31/g1^18 + 2*g1^42*t^5.6 + g1^21*t^5.8 - t^6. + 2*g1^60*t^6.29 + t^6.4/g1^42 + 4*g1^39*t^6.49 + 6*g1^18*t^6.69 - t^7.09/g1^24 + g1^57*t^7.17 + 6*g1^36*t^7.37 + 7*g1^15*t^7.57 + (4*t^7.77)/g1^6 - (2*t^7.97)/g1^27 + 2*g1^54*t^8.06 - t^8.17/g1^48 + 2*g1^33*t^8.26 + 6*g1^12*t^8.46 + (6*t^8.66)/g1^9 + 3*g1^72*t^8.74 + 4*g1^51*t^8.94 + t^8.66/(g1^9*y^2) - t^3.89/(g1^3*y) - t^4.77/(g1^6*y) - (g1^9*t^6.34)/y - (g1^27*t^7.03)/y - (2*g1^6*t^7.23)/y - t^7.43/(g1^15*y) - (g1^24*t^7.91)/y - (3*g1^3*t^8.11)/y - t^8.31/(g1^18*y) + (g1^42*t^8.6)/y + (g1^21*t^8.8)/y - (t^3.89*y)/g1^3 - (t^4.77*y)/g1^6 - g1^9*t^6.34*y - g1^27*t^7.03*y - 2*g1^6*t^7.23*y - (t^7.43*y)/g1^15 - g1^24*t^7.91*y - 3*g1^3*t^8.11*y - (t^8.31*y)/g1^18 + g1^42*t^8.6*y + g1^21*t^8.8*y + (t^8.66*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
61108 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.1089 | 1.2183 | 0.9102 | [X:[1.5], M:[1.25], q:[0.75, 0.75], qb:[0.25, 0.75], phi:[0.25]] | 2*t^3. + 3*t^3.75 + 6*t^4.5 + 2*t^5.25 - 2*t^6. - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y | detail | {a: 2271/2048, c: 2495/2048, X1: 3/2, M1: 5/4, q1: 3/4, q2: 3/4, qb1: 1/4, qb2: 3/4, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
57461 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4404 | 1.6215 | 0.8883 | [X:[1.347], M:[1.0205], q:[0.4695, 0.4695], qb:[0.5305, 0.5715], phi:[0.3265]] | 2*t^3. + t^3.06 + 2*t^3.12 + 2*t^3.98 + t^4.04 + 2*t^4.1 + 2*t^4.96 + 2*t^5.08 + 2*t^5.2 - 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail |