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 |
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45371 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4q_1q_2$ | 1.7882 | 1.8959 | 0.9432 | [X:[], M:[0.8621, 1.1379, 0.9828, 1.0604], q:[0.431, 0.5086], qb:[], phi:[0.3535]] | [X:[], M:[[4], [-4], [-14], [-9]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_1$, $ M_3$, $ M_4$, $ M_2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_3\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_4\phi_1^2$, $ M_1M_3$, $ M_2\phi_1^2$, $ M_1M_4$, $ \phi_1^4q_2$, $ M_3^2$ | $2\phi_1^3q_1q_2$ | 1 | t^2.12 + t^2.59 + t^2.95 + t^3.18 + t^3.41 + t^3.65 + t^3.88 + 2*t^4.24 + 2*t^4.71 + t^4.94 + t^5.07 + 2*t^5.17 + t^5.3 + 2*t^5.53 + t^5.77 + t^5.9 + t^6. + t^6.13 + 4*t^6.36 + t^6.47 + t^6.59 + 4*t^6.83 + 2*t^7.06 + 2*t^7.19 + 4*t^7.29 + 2*t^7.42 + 2*t^7.53 + 4*t^7.66 + 2*t^7.76 + 3*t^7.89 + t^8.02 + 5*t^8.12 + t^8.25 + t^8.35 + 6*t^8.48 + 2*t^8.59 + t^8.72 + t^8.82 + t^8.85 + 4*t^8.95 - t^4.06/y - t^5.35/y - t^5.59/y - (2*t^6.18)/y - t^6.65/y - t^7.01/y - t^7.24/y - (2*t^7.47)/y - t^7.71/y - t^7.94/y + t^8.07/y - t^8.17/y - (3*t^8.3)/y + t^8.53/y - t^8.77/y - t^4.06*y - t^5.35*y - t^5.59*y - 2*t^6.18*y - t^6.65*y - t^7.01*y - t^7.24*y - 2*t^7.47*y - t^7.71*y - t^7.94*y + t^8.07*y - t^8.17*y - 3*t^8.3*y + t^8.53*y - t^8.77*y | t^2.12/g1^6 + g1^4*t^2.59 + t^2.95/g1^14 + t^3.18/g1^9 + t^3.41/g1^4 + g1*t^3.65 + g1^6*t^3.88 + (2*t^4.24)/g1^12 + (2*t^4.71)/g1^2 + g1^3*t^4.94 + t^5.07/g1^20 + 2*g1^8*t^5.17 + t^5.3/g1^15 + (2*t^5.53)/g1^10 + t^5.77/g1^5 + t^5.9/g1^28 + t^6. + t^6.13/g1^23 + (4*t^6.36)/g1^18 + g1^10*t^6.47 + t^6.59/g1^13 + (4*t^6.83)/g1^8 + (2*t^7.06)/g1^3 + (2*t^7.19)/g1^26 + 4*g1^2*t^7.29 + (2*t^7.42)/g1^21 + 2*g1^7*t^7.53 + (4*t^7.66)/g1^16 + 2*g1^12*t^7.76 + (3*t^7.89)/g1^11 + t^8.02/g1^34 + (5*t^8.12)/g1^6 + t^8.25/g1^29 + t^8.35/g1 + (6*t^8.48)/g1^24 + 2*g1^4*t^8.59 + t^8.72/g1^19 + g1^9*t^8.82 + t^8.85/g1^42 + (4*t^8.95)/g1^14 - t^4.06/(g1^3*y) - t^5.35/(g1*y) - (g1^4*t^5.59)/y - (2*t^6.18)/(g1^9*y) - (g1*t^6.65)/y - t^7.01/(g1^17*y) - t^7.24/(g1^12*y) - (2*t^7.47)/(g1^7*y) - t^7.71/(g1^2*y) - (g1^3*t^7.94)/y + t^8.07/(g1^20*y) - (g1^8*t^8.17)/y - (3*t^8.3)/(g1^15*y) + t^8.53/(g1^10*y) - t^8.77/(g1^5*y) - (t^4.06*y)/g1^3 - (t^5.35*y)/g1 - g1^4*t^5.59*y - (2*t^6.18*y)/g1^9 - g1*t^6.65*y - (t^7.01*y)/g1^17 - (t^7.24*y)/g1^12 - (2*t^7.47*y)/g1^7 - (t^7.71*y)/g1^2 - g1^3*t^7.94*y + (t^8.07*y)/g1^20 - g1^8*t^8.17*y - (3*t^8.3*y)/g1^15 + (t^8.53*y)/g1^10 - (t^8.77*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
45436 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4q_1q_2$ + $ M_1M_5$ | 1.7761 | 1.876 | 0.9468 | [X:[], M:[0.866, 1.134, 0.969, 1.0515, 1.134], q:[0.433, 0.5155], qb:[], phi:[0.3505]] | t^2.1 + t^2.91 + t^3.15 + 2*t^3.4 + t^3.65 + t^3.9 + 2*t^4.21 + t^4.7 + t^4.95 + t^5.01 + t^5.2 + t^5.26 + 2*t^5.51 + t^5.81 - t^4.05/y - t^5.35/y - t^5.6/y - t^4.05*y - t^5.35*y - t^5.6*y | detail | |
45458 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ | 1.8056 | 1.9269 | 0.937 | [X:[], M:[0.8627, 1.1373, 0.9804, 1.0588, 0.7843], q:[0.4314, 0.5098], qb:[], phi:[0.3529]] | t^2.12 + t^2.35 + t^2.59 + t^2.94 + t^3.18 + t^3.41 + t^3.88 + 2*t^4.24 + t^4.47 + 3*t^4.71 + 2*t^4.94 + t^5.06 + 2*t^5.18 + 2*t^5.29 + 3*t^5.53 + t^5.76 + t^5.88 + t^6. - t^4.06/y - t^5.35/y - t^5.59/y - t^4.06*y - t^5.35*y - t^5.59*y | detail | {a: 8349/4624, c: 4455/2312, M1: 44/51, M2: 58/51, M3: 50/51, M4: 18/17, M5: 40/51, q1: 22/51, q2: 26/51, phi1: 6/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
45187 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ | 1.7948 | 1.9065 | 0.9414 | [X:[], M:[0.852, 1.148, 1.0181], q:[0.426, 0.491], qb:[], phi:[0.361]] | t^2.17 + t^2.56 + t^2.75 + t^3.05 + t^3.44 + t^3.64 + t^3.83 + 2*t^4.33 + 2*t^4.72 + 2*t^4.92 + 2*t^5.11 + t^5.22 + t^5.31 + t^5.5 + 2*t^5.61 + t^5.81 + t^6. - t^4.08/y - t^5.36/y - t^5.56/y - t^4.08*y - t^5.36*y - t^5.56*y | detail |