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 |
---|---|---|---|---|---|---|---|---|---|
47953 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4221 | 1.5818 | 0.899 | [X:[1.4074], q:[0.5926, 0.5185], qb:[0.5926, 0.5185], phi:[0.2963]] | [X:[[0, 4]], q:[[1, -9], [-2, 20]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 | {a: 1843/1296, c: 1025/648, X1: 38/27, q1: 16/27, q2: 14/27, qb1: 16/27, qb2: 14/27, phi1: 8/27} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.667 + t^3.111 + 2*t^3.333 + t^3.556 + t^4. + 3*t^4.222 + t^4.444 + t^4.889 + 2*t^5.111 + 2*t^5.333 + t^5.778 + 2*t^6.444 + 5*t^6.667 + 4*t^6.889 + t^7.111 + 7*t^7.333 + 7*t^7.556 + 5*t^7.778 + 5*t^8. + 4*t^8.222 + 6*t^8.444 + 3*t^8.667 + 2*t^8.889 + t^8.667/y^2 - t^3.889/y - t^4.778/y - t^6.556/y - t^7./y - (2*t^7.222)/y - (2*t^7.444)/y - t^7.889/y - (2*t^8.111)/y - t^8.333/y - t^3.889*y - t^4.778*y - t^6.556*y - t^7.*y - 2*t^7.222*y - 2*t^7.444*y - t^7.889*y - 2*t^8.111*y - t^8.333*y + t^8.667*y^2 | t^2.667/g2^6 + g2^20*t^3.111 + (g1^3*t^3.333)/g2^9 + (g2^21*t^3.333)/g1^3 + t^3.556/g2^8 + g2^18*t^4. + (g1^3*t^4.222)/g2^11 + g2^4*t^4.222 + (g2^19*t^4.222)/g1^3 + t^4.444/g2^10 + g2^16*t^4.889 + (g1^3*t^5.111)/g2^13 + (g2^17*t^5.111)/g1^3 + (2*t^5.333)/g2^12 + g2^14*t^5.778 - 2*t^6. + (g1^3*t^6.)/g2^15 + (g2^15*t^6.)/g1^3 - (g1^3*t^6.222)/g2^29 + t^6.222/g2^14 - (g2*t^6.222)/g1^3 + g2^40*t^6.222 + g1^3*g2^11*t^6.444 + (g2^41*t^6.444)/g1^3 + (g1^6*t^6.667)/g2^18 + 3*g2^12*t^6.667 + (g2^42*t^6.667)/g1^6 + (2*g1^3*t^6.889)/g2^17 + (2*g2^13*t^6.889)/g1^3 - (g1^3*t^7.111)/g2^31 + (2*t^7.111)/g2^16 - t^7.111/(g1^3*g2) + g2^38*t^7.111 + (g1^6*t^7.333)/g2^6 + 2*g1^3*g2^9*t^7.333 + g2^24*t^7.333 + (2*g2^39*t^7.333)/g1^3 + (g2^54*t^7.333)/g1^6 + (g1^6*t^7.556)/g2^20 + (g1^3*t^7.556)/g2^5 + 3*g2^10*t^7.556 + (g2^25*t^7.556)/g1^3 + (g2^40*t^7.556)/g1^6 + (2*g1^3*t^7.778)/g2^19 + t^7.778/g2^4 + (2*g2^11*t^7.778)/g1^3 + (3*t^8.)/g2^18 + 2*g2^36*t^8. + 2*g1^3*g2^7*t^8.222 + (2*g2^37*t^8.222)/g1^3 + (g1^6*t^8.444)/g2^22 + 4*g2^8*t^8.444 + (g2^38*t^8.444)/g1^6 + (2*g1^3*t^8.667)/g2^21 - t^8.667/g2^6 + (2*g2^9*t^8.667)/g1^3 - (g1^3*t^8.889)/g2^35 + (2*t^8.889)/g2^20 - t^8.889/(g1^3*g2^5) + 2*g2^34*t^8.889 + t^8.667/(g2^6*y^2) - t^3.889/(g2^2*y) - t^4.778/(g2^4*y) - t^6.556/(g2^8*y) - (g2^18*t^7.)/y - (g1^3*t^7.222)/(g2^11*y) - (g2^19*t^7.222)/(g1^3*y) - (2*t^7.444)/(g2^10*y) - (g2^16*t^7.889)/y - (g1^3*t^8.111)/(g2^13*y) - (g2^17*t^8.111)/(g1^3*y) - t^8.333/(g2^12*y) - (t^3.889*y)/g2^2 - (t^4.778*y)/g2^4 - (t^6.556*y)/g2^8 - g2^18*t^7.*y - (g1^3*t^7.222*y)/g2^11 - (g2^19*t^7.222*y)/g1^3 - (2*t^7.444*y)/g2^10 - g2^16*t^7.889*y - (g1^3*t^8.111*y)/g2^13 - (g2^17*t^8.111*y)/g1^3 - (t^8.333*y)/g2^12 + (t^8.667*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 |
---|---|---|---|---|---|---|---|---|
57740 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0805 | 1.212 | 0.8916 | [X:[1.4829], M:[], q:[0.6895, 0.3624], qb:[0.3448, 1.0519], phi:[0.2586]] | t^2.12 + t^2.33 + t^2.9 + t^3.1 + t^3.67 + 2*t^4.24 + 2*t^4.45 + t^4.65 + 2*t^5.02 + 3*t^5.22 + t^5.43 + t^5.59 + 2*t^5.79 - t^3.78/y - t^4.55/y - t^5.9/y - t^3.78*y - t^4.55*y - t^5.9*y | detail | |
57738 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 0.8355 | 0.9209 | 0.9072 | [X:[1.5442, 1.3674], M:[], q:[0.6837, 0.4047], qb:[0.2279, 1.3163], phi:[0.2279]] | t^2.05 + t^2.58 + t^3.27 + 3*t^4.1 + 2*t^4.63 + t^5.16 + t^5.32 + t^5.69 + t^5.85 - 2*t^6. - t^3.68/y - t^4.37/y - t^5.73/y - t^3.68*y - t^4.37*y - t^5.73*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 |
---|---|---|---|---|---|---|---|---|---|
47876 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6227 | 0.889 | [X:[1.353], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]] | t^2.911 + 2*t^3.013 + 2*t^3.165 + 2*t^3.983 + t^4.059 + 2*t^4.135 + 2*t^4.953 + 2*t^5.106 + 2*t^5.283 + t^5.823 + 2*t^5.924 - 5*t^6. - t^3.97/y - t^4.941/y - t^3.97*y - t^4.941*y | detail |