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 |
---|---|---|---|---|---|---|---|---|---|
59032 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4002 | 1.5895 | 0.8809 | [X:[1.3552], M:[0.8059, 1.0329], q:[0.3687, 0.6911], qb:[0.503, 0.503], phi:[0.3224]] | [X:[[0, 4]], M:[[0, -5], [0, 6]], q:[[-1, 7], [-1, 5]], qb:[[1, 0], [1, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$ | ${}$ | -4 | t^2.42 + 2*t^2.62 + t^3.1 + 3*t^3.58 + t^4.07 + 4*t^4.55 + t^4.84 + t^5.03 + 3*t^5.23 + t^5.25 + 2*t^5.49 + 3*t^5.52 + 2*t^5.71 - 4*t^6. + 7*t^6.2 + 3*t^6.22 + 2*t^6.46 + t^6.48 + 5*t^6.68 - t^6.94 - 3*t^6.97 + 15*t^7.16 + 2*t^7.19 + t^7.25 + 4*t^7.43 + t^7.45 + 6*t^7.65 - 3*t^7.67 + 4*t^7.85 + 2*t^7.87 - 3*t^7.91 - 2*t^7.93 + 4*t^8.11 + 17*t^8.13 + t^8.15 + 3*t^8.33 + t^8.35 - 2*t^8.42 + 2*t^8.59 - 8*t^8.62 - 3*t^8.64 + 11*t^8.81 + 9*t^8.83 - 6*t^8.88 + t^8.9 + t^8.9/y^2 - t^3.97/y - t^4.93/y - t^6.38/y - (2*t^6.58)/y - t^7.07/y - t^7.35/y - (3*t^7.55)/y + t^8.03/y + t^8.23/y - (2*t^8.52)/y + (2*t^8.71)/y - t^8.8/y - t^3.97*y - t^4.93*y - t^6.38*y - 2*t^6.58*y - t^7.07*y - t^7.35*y - 3*t^7.55*y + t^8.03*y + t^8.23*y - 2*t^8.52*y + 2*t^8.71*y - t^8.8*y + t^8.9*y^2 | t^2.42/g2^5 + 2*g2^7*t^2.62 + g2^6*t^3.1 + 3*g2^5*t^3.58 + g2^4*t^4.07 + 4*g2^3*t^4.55 + t^4.84/g2^10 + g2^2*t^5.03 + 3*g2^14*t^5.23 + (g2^17*t^5.25)/g1^3 + (2*g1^3*t^5.49)/g2^2 + 3*g2*t^5.52 + 2*g2^13*t^5.71 - 4*t^6. + 7*g2^12*t^6.2 + (3*g2^15*t^6.22)/g1^3 + (2*g1^3*t^6.46)/g2^4 + t^6.48/g2 + 5*g2^11*t^6.68 - (g1^3*t^6.94)/g2^5 - (3*t^6.97)/g2^2 + 15*g2^10*t^7.16 + (2*g2^13*t^7.19)/g1^3 + t^7.25/g2^15 + (4*g1^3*t^7.43)/g2^6 + t^7.45/g2^3 + 6*g2^9*t^7.65 - (3*g2^12*t^7.67)/g1^3 + 4*g2^21*t^7.85 + (2*g2^24*t^7.87)/g1^3 - (3*g1^3*t^7.91)/g2^7 - (2*t^7.93)/g2^4 + 4*g1^3*g2^5*t^8.11 + 17*g2^8*t^8.13 + (g2^11*t^8.15)/g1^3 + 3*g2^20*t^8.33 + (g2^23*t^8.35)/g1^3 - (2*t^8.42)/g2^5 + 2*g1^3*g2^4*t^8.59 - 8*g2^7*t^8.62 - (3*g2^10*t^8.64)/g1^3 + 11*g2^19*t^8.81 + (9*g2^22*t^8.83)/g1^3 - (6*g1^3*t^8.88)/g2^9 + t^8.9/g2^6 + t^8.9/(g2^6*y^2) - t^3.97/(g2^2*y) - t^4.93/(g2^4*y) - t^6.38/(g2^7*y) - (2*g2^5*t^6.58)/y - (g2^4*t^7.07)/y - t^7.35/(g2^9*y) - (3*g2^3*t^7.55)/y + (g2^2*t^8.03)/y + (g2^14*t^8.23)/y - (2*g2*t^8.52)/y + (2*g2^13*t^8.71)/y - t^8.8/(g2^12*y) - (t^3.97*y)/g2^2 - (t^4.93*y)/g2^4 - (t^6.38*y)/g2^7 - 2*g2^5*t^6.58*y - g2^4*t^7.07*y - (t^7.35*y)/g2^9 - 3*g2^3*t^7.55*y + g2^2*t^8.03*y + g2^14*t^8.23*y - 2*g2*t^8.52*y + 2*g2^13*t^8.71*y - (t^8.8*y)/g2^12 + (t^8.9*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|
61157 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.3782 | 1.5389 | 0.8956 | [X:[1.4286], M:[0.7143, 1.1429], q:[0.4405, 0.7262], qb:[0.5595, 0.5595], phi:[0.2857]] | t^2.14 + 2*t^3. + t^3.43 + 3*t^3.86 + 2*t^4.29 + 4*t^4.71 + t^5.14 + 3*t^5.57 + t^5.68 + 2*t^5.89 - t^6. - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | {a: 60507/43904, c: 67563/43904, X1: 10/7, M1: 5/7, M2: 8/7, q1: 37/84, q2: 61/84, qb1: 47/84, qb2: 47/84, phi1: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
57498 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4005 | 1.5908 | 0.8804 | [X:[1.3547], M:[0.795, 1.0321], q:[0.3681, 0.6907], qb:[0.5143, 0.4911], phi:[0.3226]] | t^2.39 + t^2.58 + t^2.65 + t^3.1 + 2*t^3.55 + t^3.61 + t^4.06 + 2*t^4.51 + 2*t^4.58 + t^4.77 + t^4.96 + t^5.16 + t^5.22 + t^5.25 + t^5.29 + t^5.46 + 2*t^5.48 + t^5.53 + t^5.55 + t^5.67 + t^5.74 + t^5.93 - 4*t^6. - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail |