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 |
---|---|---|---|---|---|---|---|---|---|
58608 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.0715 | 1.2061 | 0.8884 | [X:[1.5212], M:[0.7181], q:[0.2819, 1.0425], qb:[0.7181, 0.5212], phi:[0.2394]] | [X:[[2]], M:[[-3]], q:[[3], [4]], qb:[[-3], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -1 | 2*t^2.15 + t^2.41 + t^3. + t^3.13 + 3*t^4.31 + 3*t^4.56 + 2*t^4.69 + t^4.82 + t^5.15 + 3*t^5.28 + t^5.41 + 2*t^5.54 - t^6. + t^6.13 + t^6.25 + 4*t^6.46 - t^6.59 + 4*t^6.72 + 3*t^6.85 + 3*t^6.97 + 2*t^7.1 + t^7.23 + t^7.31 + 4*t^7.44 + t^7.56 + 6*t^7.69 + 3*t^7.82 + 2*t^7.95 - 2*t^8.15 - t^8.28 + t^8.54 + 5*t^8.62 + 2*t^8.66 - t^8.75 + t^8.87 + t^8.15/y^2 - (2*t^8.87)/y^2 - t^3.72/y - t^4.44/y - (2*t^5.87)/y - t^6.13/y - (2*t^6.59)/y - t^6.72/y - t^6.85/y + t^7.31/y + (2*t^7.56)/y - (3*t^8.03)/y + (2*t^8.15)/y + t^8.28/y - (3*t^8.75)/y - t^8.87/y - t^3.72*y - t^4.44*y - 2*t^5.87*y - t^6.13*y - 2*t^6.59*y - t^6.72*y - t^6.85*y + t^7.31*y + 2*t^7.56*y - 3*t^8.03*y + 2*t^8.15*y + t^8.28*y - 3*t^8.75*y - t^8.87*y + t^8.15*y^2 - 2*t^8.87*y^2 | (2*t^2.15)/g1^3 + g1^5*t^2.41 + t^3. + g1^4*t^3.13 + (3*t^4.31)/g1^6 + 3*g1^2*t^4.56 + 2*g1^6*t^4.69 + g1^10*t^4.82 + t^5.15/g1^3 + 3*g1*t^5.28 + g1^5*t^5.41 + 2*g1^9*t^5.54 - t^6. + g1^4*t^6.13 + g1^8*t^6.25 + (4*t^6.46)/g1^9 - t^6.59/g1^5 + (4*t^6.72)/g1 + 3*g1^3*t^6.85 + 3*g1^7*t^6.97 + 2*g1^11*t^7.1 + g1^15*t^7.23 + t^7.31/g1^6 + (4*t^7.44)/g1^2 + g1^2*t^7.56 + 6*g1^6*t^7.69 + 3*g1^10*t^7.82 + 2*g1^14*t^7.95 - (2*t^8.15)/g1^3 - g1*t^8.28 + g1^9*t^8.54 + (5*t^8.62)/g1^12 + 2*g1^13*t^8.66 - t^8.75/g1^8 + t^8.87/g1^4 + t^8.15/(g1^3*y^2) - (2*t^8.87)/(g1^4*y^2) - t^3.72/(g1*y) - t^4.44/(g1^2*y) - (2*t^5.87)/(g1^4*y) - (g1^4*t^6.13)/y - (2*t^6.59)/(g1^5*y) - t^6.72/(g1*y) - (g1^3*t^6.85)/y + t^7.31/(g1^6*y) + (2*g1^2*t^7.56)/y - (3*t^8.03)/(g1^7*y) + (2*t^8.15)/(g1^3*y) + (g1*t^8.28)/y - (3*t^8.75)/(g1^8*y) - t^8.87/(g1^4*y) - (t^3.72*y)/g1 - (t^4.44*y)/g1^2 - (2*t^5.87*y)/g1^4 - g1^4*t^6.13*y - (2*t^6.59*y)/g1^5 - (t^6.72*y)/g1 - g1^3*t^6.85*y + (t^7.31*y)/g1^6 + 2*g1^2*t^7.56*y - (3*t^8.03*y)/g1^7 + (2*t^8.15*y)/g1^3 + g1*t^8.28*y - (3*t^8.75*y)/g1^8 - (t^8.87*y)/g1^4 + (t^8.15*y^2)/g1^3 - (2*t^8.87*y^2)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
61227 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0765 | 1.212 | 0.8882 | [X:[1.5329], M:[0.7007, 0.9342], q:[0.2993, 1.0658], qb:[0.7007, 0.5329], phi:[0.2336]] | 2*t^2.1 + t^2.5 + t^2.8 + t^3. + 3*t^4.2 + 3*t^4.6 + 2*t^4.8 + 2*t^4.9 + t^4.99 + t^5.1 + 2*t^5.3 + t^5.5 + t^5.61 + t^5.69 + t^5.8 - t^6. - t^3.7/y - t^4.4/y - (2*t^5.8)/y - t^3.7*y - t^4.4*y - 2*t^5.8*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 |
---|---|---|---|---|---|---|---|---|---|
57662 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.0514 | 1.1695 | 0.8991 | [X:[1.5185], M:[], q:[0.2778, 1.037], qb:[0.7222, 0.5185], phi:[0.2407]] | t^2.17 + t^2.39 + t^3. + t^3.11 + t^3.83 + t^4.33 + 2*t^4.56 + 2*t^4.67 + t^4.78 + 2*t^5.28 + t^5.39 + 2*t^5.5 - t^3.72/y - t^4.44/y - t^5.89/y - t^3.72*y - t^4.44*y - t^5.89*y | detail | {a: 10901/10368, c: 12125/10368, X1: 41/27, q1: 5/18, q2: 28/27, qb1: 13/18, qb2: 14/27, phi1: 13/54} |