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 |
---|---|---|---|---|---|---|---|---|---|
57505 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.1288 | 1.2664 | 0.8913 | [X:[1.5105], M:[0.7342], q:[0.8426, 0.3951], qb:[0.3811, 0.9126], phi:[0.2447]] | [X:[[0, 2]], M:[[0, -3]], q:[[-1, 1], [-1, 11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 | {a: 300763/266450, c: 674891/532900, X1: 1654/1095, M1: 268/365, q1: 2768/3285, q2: 1298/3285, qb1: 1252/3285, qb2: 2998/3285, phi1: 268/1095} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | 2*t^2.2 + t^2.33 + t^3.06 + t^3.67 + t^3.92 + 3*t^4.41 + 3*t^4.53 + t^4.66 + 3*t^5.27 + t^5.39 + 2*t^5.63 + 2*t^5.76 + t^5.87 - 2*t^6. + 2*t^6.13 + t^6.25 + 4*t^6.61 + 5*t^6.73 + 3*t^6.86 + 2*t^6.99 + 4*t^7.47 + 3*t^7.59 + t^7.72 + 2*t^7.84 + t^7.85 + 4*t^7.96 + t^8.08 + 2*t^8.09 - 2*t^8.2 + t^8.33 + 3*t^8.45 - 2*t^8.57 + t^8.58 + 5*t^8.81 + 2*t^8.82 + 3*t^8.94 + t^8.2/y^2 - (2*t^8.94)/y^2 - t^3.73/y - t^4.47/y - (2*t^5.94)/y - t^6.06/y - (2*t^6.67)/y - t^6.8/y + (2*t^7.53)/y - t^7.66/y - (3*t^8.14)/y + t^8.27/y - t^8.87/y - t^3.73*y - t^4.47*y - 2*t^5.94*y - t^6.06*y - 2*t^6.67*y - t^6.8*y + 2*t^7.53*y - t^7.66*y - 3*t^8.14*y + t^8.27*y - t^8.87*y + t^8.2*y^2 - 2*t^8.94*y^2 | (2*t^2.2)/g2^3 + g2^5*t^2.33 + g2^4*t^3.06 + t^3.67/g2^5 + g2^11*t^3.92 + (3*t^4.41)/g2^6 + 3*g2^2*t^4.53 + g2^10*t^4.66 + 3*g2*t^5.27 + g2^9*t^5.39 + (g1^3*t^5.63)/g2^21 + (g2^22*t^5.63)/g1^3 + (g1^3*t^5.76)/g2^13 + (g2^30*t^5.76)/g1^3 + t^5.87/g2^8 - 2*t^6. + 2*g2^8*t^6.13 + g2^16*t^6.25 + (4*t^6.61)/g2^9 + (5*t^6.73)/g2 + 3*g2^7*t^6.86 + 2*g2^15*t^6.99 + (4*t^7.47)/g2^2 + 3*g2^6*t^7.59 + g2^14*t^7.72 + (g1^3*t^7.84)/g2^24 + (g2^19*t^7.84)/g1^3 + g2^22*t^7.85 + (2*g1^3*t^7.96)/g2^16 + (2*g2^27*t^7.96)/g1^3 + t^8.08/g2^11 + (g1^3*t^8.09)/g2^8 + (g2^35*t^8.09)/g1^3 - (2*t^8.2)/g2^3 + g2^5*t^8.33 + 3*g2^13*t^8.45 - (g1^3*t^8.57)/g2^25 - (g2^18*t^8.57)/g1^3 + g2^21*t^8.58 + (5*t^8.81)/g2^12 + (g1^3*t^8.82)/g2^9 + (g2^34*t^8.82)/g1^3 + (3*t^8.94)/g2^4 + t^8.2/(g2^3*y^2) - (2*t^8.94)/(g2^4*y^2) - t^3.73/(g2*y) - t^4.47/(g2^2*y) - (2*t^5.94)/(g2^4*y) - (g2^4*t^6.06)/y - (2*t^6.67)/(g2^5*y) - (g2^3*t^6.8)/y + (2*g2^2*t^7.53)/y - (g2^10*t^7.66)/y - (3*t^8.14)/(g2^7*y) + (g2*t^8.27)/y - t^8.87/(g2^8*y) - (t^3.73*y)/g2 - (t^4.47*y)/g2^2 - (2*t^5.94*y)/g2^4 - g2^4*t^6.06*y - (2*t^6.67*y)/g2^5 - g2^3*t^6.8*y + 2*g2^2*t^7.53*y - g2^10*t^7.66*y - (3*t^8.14*y)/g2^7 + g2*t^8.27*y - (t^8.87*y)/g2^8 + (t^8.2*y^2)/g2^3 - (2*t^8.94*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
59384 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1314 | 1.2693 | 0.8913 | [X:[1.5172], M:[0.7243, 0.9657], q:[0.8221, 0.4079], qb:[0.385, 0.9365], phi:[0.2414]] | 2*t^2.17 + t^2.38 + t^2.9 + t^3.62 + t^4.03 + 3*t^4.35 + 3*t^4.55 + t^4.76 + 2*t^5.07 + 2*t^5.28 + 2*t^5.64 + 2*t^5.79 + 2*t^5.84 - 2*t^6. - t^3.72/y - t^4.45/y - (2*t^5.9)/y - t^3.72*y - t^4.45*y - 2*t^5.9*y | detail | |
59475 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ | 1.1271 | 1.2629 | 0.8925 | [X:[1.5171], M:[0.7244], q:[0.8398, 0.4252], qb:[0.3675, 0.9188], phi:[0.2415]] | 2*t^2.17 + t^2.38 + t^3.1 + t^3.62 + t^4.03 + 3*t^4.35 + 3*t^4.55 + t^4.76 + 3*t^5.28 + 2*t^5.48 + t^5.69 + 2*t^5.79 - t^6. - t^3.72/y - t^4.45/y - (2*t^5.9)/y - t^3.72*y - t^4.45*y - 2*t^5.9*y | detail | |
60069 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 1.1226 | 1.2599 | 0.891 | [X:[1.5118], M:[0.7322], q:[0.7978, 0.357], qb:[0.4226, 0.9581], phi:[0.2441]] | 2*t^2.2 + t^2.34 + t^3.07 + t^3.66 + t^3.95 + 3*t^4.39 + 3*t^4.54 + t^4.68 + 4*t^5.27 + 2*t^5.41 + t^5.86 - t^6. - t^3.73/y - t^4.46/y - (2*t^5.93)/y - t^3.73*y - t^4.46*y - 2*t^5.93*y | detail | {a: 300763/267912, c: 168773/133956, X1: 830/549, M1: 134/183, q1: 146/183, q2: 196/549, qb1: 232/549, qb2: 526/549, phi1: 134/549} |
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 |
---|---|---|---|---|---|---|---|---|---|
47910 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1092 | 1.231 | 0.9011 | [X:[1.5086], q:[0.8484, 0.3915], qb:[0.38, 0.9059], phi:[0.2457]] | t^2.211 + t^2.315 + t^3.052 + t^3.685 + t^3.789 + t^3.892 + t^4.422 + 2*t^4.526 + t^4.629 + 2*t^5.263 + t^5.367 + 2*t^5.631 + 2*t^5.735 - t^6. - t^3.737/y - t^4.474/y - t^5.948/y - t^3.737*y - t^4.474*y - t^5.948*y | detail |