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 |
---|---|---|---|---|---|---|---|---|---|
60063 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3746 | 1.5971 | 0.8607 | [X:[], M:[0.8532], q:[0.4551, 0.7486], qb:[0.3982, 0.3504], phi:[0.3413]] | [X:[], M:[[-15]], q:[[-8], [22]], qb:[[-7], [29]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.05 + t^2.42 + 2*t^2.56 + t^3.07 + t^3.3 + t^3.44 + t^3.58 + t^4.1 + 2*t^4.32 + 4*t^4.46 + 3*t^4.61 + t^4.83 + 2*t^4.98 + 3*t^5.12 + 3*t^5.34 + 4*t^5.49 + 3*t^5.63 + t^5.71 + 2*t^5.86 - t^6. + 2*t^6.14 + t^6.23 + 4*t^6.37 + 6*t^6.51 + t^6.59 + 5*t^6.66 + 3*t^6.74 + 7*t^6.88 + 6*t^7.02 + 4*t^7.17 + t^7.25 + 6*t^7.39 + 8*t^7.54 + 2*t^7.62 + 6*t^7.68 + 7*t^7.76 + 9*t^7.9 + 5*t^8.05 + t^8.13 + 3*t^8.19 + t^8.27 + t^8.42 + 2*t^8.56 + 7*t^8.64 + 6*t^8.7 + 14*t^8.79 + 18*t^8.93 - t^4.02/y - t^5.05/y - t^6.07/y - t^6.44/y - (2*t^6.58)/y - (2*t^7.1)/y - t^7.32/y + (3*t^7.98)/y + t^8.71/y + (2*t^8.86)/y - t^4.02*y - t^5.05*y - t^6.07*y - t^6.44*y - 2*t^6.58*y - 2*t^7.1*y - t^7.32*y + 3*t^7.98*y + t^8.71*y + 2*t^8.86*y | t^2.05/g1^12 + g1^21*t^2.42 + (2*t^2.56)/g1^15 + t^3.07/g1^18 + g1^51*t^3.3 + g1^15*t^3.44 + t^3.58/g1^21 + t^4.1/g1^24 + 2*g1^45*t^4.32 + 4*g1^9*t^4.46 + (3*t^4.61)/g1^27 + g1^42*t^4.83 + 2*g1^6*t^4.98 + (3*t^5.12)/g1^30 + 3*g1^39*t^5.34 + 4*g1^3*t^5.49 + (3*t^5.63)/g1^33 + g1^72*t^5.71 + 2*g1^36*t^5.86 - t^6. + (2*t^6.14)/g1^36 + g1^69*t^6.23 + 4*g1^33*t^6.37 + (6*t^6.51)/g1^3 + g1^102*t^6.59 + (5*t^6.66)/g1^39 + 3*g1^66*t^6.74 + 7*g1^30*t^6.88 + (6*t^7.02)/g1^6 + (4*t^7.17)/g1^42 + g1^63*t^7.25 + 6*g1^27*t^7.39 + (8*t^7.54)/g1^9 + 2*g1^96*t^7.62 + (6*t^7.68)/g1^45 + 7*g1^60*t^7.76 + 9*g1^24*t^7.9 + (5*t^8.05)/g1^12 + g1^93*t^8.13 + (3*t^8.19)/g1^48 + g1^57*t^8.27 + g1^21*t^8.42 + (2*t^8.56)/g1^15 + 7*g1^90*t^8.64 + (6*t^8.7)/g1^51 + 14*g1^54*t^8.79 + 18*g1^18*t^8.93 - t^4.02/(g1^6*y) - t^5.05/(g1^12*y) - t^6.07/(g1^18*y) - (g1^15*t^6.44)/y - (2*t^6.58)/(g1^21*y) - (2*t^7.1)/(g1^24*y) - (g1^45*t^7.32)/y + (3*g1^6*t^7.98)/y + (g1^72*t^8.71)/y + (2*g1^36*t^8.86)/y - (t^4.02*y)/g1^6 - (t^5.05*y)/g1^12 - (t^6.07*y)/g1^18 - g1^15*t^6.44*y - (2*t^6.58*y)/g1^21 - (2*t^7.1*y)/g1^24 - g1^45*t^7.32*y + 3*g1^6*t^7.98*y + g1^72*t^8.71*y + 2*g1^36*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
61197 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.2032 | 1.3728 | 0.8764 | [X:[1.4286], M:[0.7143], q:[0.381, 0.9524], qb:[0.3333, 0.619], phi:[0.2857]] | 2*t^2.14 + t^2.57 + 2*t^3. + 2*t^3.86 + 3*t^4.29 + 6*t^4.71 + 3*t^5.14 + 7*t^5.57 + t^6. - t^3.86/y - t^4.71/y - (2*t^6.)/y - t^3.86*y - t^4.71*y - 2*t^6.*y | detail | {a: 6603/5488, c: 3767/2744, X1: 10/7, M1: 5/7, q1: 8/21, q2: 20/21, qb1: 1/3, qb2: 13/21, 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 |
---|---|---|---|---|---|---|---|---|---|
57732 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4351 | 1.6621 | 0.8634 | [X:[], M:[0.8773], q:[0.3567, 0.6022], qb:[0.5205, 0.4151], phi:[0.3509]] | t^2.11 + t^2.32 + 2*t^2.63 + t^3.05 + t^3.16 + t^3.37 + t^3.68 + t^4.1 + t^4.21 + 3*t^4.42 + t^4.63 + 3*t^4.74 + 2*t^4.95 + t^5. + t^5.1 + 2*t^5.16 + 3*t^5.26 + t^5.37 + t^5.42 + 3*t^5.47 + 2*t^5.68 + t^5.74 + 3*t^5.79 - t^6. - t^4.05/y - t^5.11/y - t^4.05*y - t^5.11*y | detail |