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 |
---|---|---|---|---|---|---|---|---|---|
5445 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ | 0.6072 | 0.7542 | 0.8051 | [X:[1.453], M:[0.547, 1.151, 0.7483, 1.0503, 0.9497, 0.9497, 1.0721, 0.849], q:[0.7878, 0.6653], qb:[0.5864, 0.2626], phi:[0.4245]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [-4], [-34], [-12]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -3 | t^2.245 + 2*t^2.547 + 2*t^2.849 + t^3.216 + t^3.82 + t^4.057 + t^4.122 + t^4.359 + t^4.49 + 2*t^4.792 + 5*t^5.094 + t^5.265 + 4*t^5.396 + t^5.461 + 2*t^5.698 + t^5.763 - 3*t^6. + 2*t^6.065 - t^6.237 - t^6.302 + 2*t^6.367 + t^6.433 + t^6.604 + 3*t^6.669 + t^6.735 + 2*t^6.906 + 2*t^7.037 - 2*t^7.273 + 6*t^7.339 - t^7.51 - t^7.576 + 8*t^7.641 + t^7.706 + t^7.812 - t^7.878 + 8*t^7.943 + 2*t^8.008 + 2*t^8.114 + t^8.245 + 3*t^8.31 - 5*t^8.547 + 3*t^8.612 + t^8.678 - 2*t^8.784 - 9*t^8.849 + 6*t^8.914 + 2*t^8.98 - t^4.273/y - t^6.518/y - t^6.82/y + t^7.057/y - t^7.122/y + t^7.424/y - t^7.49/y + t^7.727/y + (2*t^7.792)/y + t^8.029/y + (3*t^8.094)/y + (4*t^8.396)/y + t^8.461/y + t^8.698/y + t^8.763/y - t^4.273*y - t^6.518*y - t^6.82*y + t^7.057*y - t^7.122*y + t^7.424*y - t^7.49*y + t^7.727*y + 2*t^7.792*y + t^8.029*y + 3*t^8.094*y + 4*t^8.396*y + t^8.461*y + t^8.698*y + t^8.763*y | t^2.245/g1^20 + (2*t^2.547)/g1^12 + (2*t^2.849)/g1^4 + t^3.216/g1^34 + t^3.82/g1^18 + g1^28*t^4.057 + t^4.122/g1^10 + g1^36*t^4.359 + t^4.49/g1^40 + (2*t^4.792)/g1^32 + (5*t^5.094)/g1^24 + g1^60*t^5.265 + (4*t^5.396)/g1^16 + t^5.461/g1^54 + (2*t^5.698)/g1^8 + t^5.763/g1^46 - 3*t^6. + (2*t^6.065)/g1^38 - g1^46*t^6.237 - g1^8*t^6.302 + (2*t^6.367)/g1^30 + t^6.433/g1^68 + g1^16*t^6.604 + (3*t^6.669)/g1^22 + t^6.735/g1^60 + 2*g1^24*t^6.906 + (2*t^7.037)/g1^52 - (2*t^7.273)/g1^6 + (6*t^7.339)/g1^44 - g1^40*t^7.51 - g1^2*t^7.576 + (8*t^7.641)/g1^36 + t^7.706/g1^74 + g1^48*t^7.812 - g1^10*t^7.878 + (8*t^7.943)/g1^28 + (2*t^8.008)/g1^66 + 2*g1^56*t^8.114 + t^8.245/g1^20 + (3*t^8.31)/g1^58 - (5*t^8.547)/g1^12 + (3*t^8.612)/g1^50 + t^8.678/g1^88 - 2*g1^34*t^8.784 - (9*t^8.849)/g1^4 + (6*t^8.914)/g1^42 + (2*t^8.98)/g1^80 - t^4.273/(g1^6*y) - t^6.518/(g1^26*y) - t^6.82/(g1^18*y) + (g1^28*t^7.057)/y - t^7.122/(g1^10*y) + t^7.424/(g1^2*y) - t^7.49/(g1^40*y) + (g1^6*t^7.727)/y + (2*t^7.792)/(g1^32*y) + (g1^14*t^8.029)/y + (3*t^8.094)/(g1^24*y) + (4*t^8.396)/(g1^16*y) + t^8.461/(g1^54*y) + t^8.698/(g1^8*y) + t^8.763/(g1^46*y) - (t^4.273*y)/g1^6 - (t^6.518*y)/g1^26 - (t^6.82*y)/g1^18 + g1^28*t^7.057*y - (t^7.122*y)/g1^10 + (t^7.424*y)/g1^2 - (t^7.49*y)/g1^40 + g1^6*t^7.727*y + (2*t^7.792*y)/g1^32 + g1^14*t^8.029*y + (3*t^8.094*y)/g1^24 + (4*t^8.396*y)/g1^16 + (t^8.461*y)/g1^54 + (t^8.698*y)/g1^8 + (t^8.763*y)/g1^46 |
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 |
---|---|---|---|---|---|---|---|---|
6910 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{7}$ | 0.5981 | 0.7393 | 0.809 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 0.963, 1.1852, 0.8889], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.444 + 2*t^2.667 + 2*t^2.889 + t^3.556 + t^3.778 + 2*t^4. + t^4.222 + t^4.667 + t^4.889 + 2*t^5.111 + 5*t^5.333 + 4*t^5.556 + t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 20929/34992, c: 12935/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 26/27, M7: 32/27, M8: 8/9, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
6911 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{3}M_{9}$ | 0.5883 | 0.7193 | 0.8179 | [X:[1.4331], M:[0.5669, 1.1444, 0.7594, 1.0481, 0.9519, 0.9519, 1.091, 0.8556, 1.2406], q:[0.7861, 0.647], qb:[0.5936, 0.262], phi:[0.4278]] | 2*t^2.567 + 2*t^2.856 + t^3.273 + t^3.722 + t^3.85 + t^4.011 + t^4.139 + t^4.299 + 3*t^5.134 + t^5.165 + 4*t^5.423 + 2*t^5.711 + t^5.84 - 3*t^6. - t^4.283/y - t^4.283*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 |
---|---|---|---|---|---|---|---|---|---|
3845 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.5943 | 0.7313 | 0.8126 | [X:[1.4327], M:[0.5673, 1.1442, 0.7596, 1.0481, 0.9519, 0.9519, 1.0913], q:[0.7861, 0.6467], qb:[0.5937, 0.262], phi:[0.4279]] | t^2.279 + t^2.567 + 2*t^2.856 + t^3.274 + t^3.433 + t^3.851 + t^4.01 + t^4.139 + t^4.298 + t^4.558 + t^4.846 + 3*t^5.135 + t^5.164 + 2*t^5.423 + t^5.553 + 3*t^5.712 - 2*t^6. - t^4.284/y - t^4.284*y | detail |