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 |
---|---|---|---|---|---|---|---|---|---|
45180 | SO5adj1nf2 | $\phi_1^4q_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1q_1q_2$ | 1.8211 | 1.9681 | 0.9253 | [X:[], M:[1.026, 0.7565, 0.7565], q:[0.487, 0.3783], qb:[], phi:[0.3783]] | [X:[], M:[[8], [2], [2]], q:[[-4], [1]], qb:[], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ \phi_1^2$, $ q_2^2$, $ q_1q_2$, $ M_1$, $ \phi_1^2q_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_2q_2^2$, $ M_3q_2^2$, $ \phi_1^2q_2^2$, $ q_2^4$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ \phi_1^2q_1q_2$, $ q_1q_2^3$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ M_1M_2$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_1q_2^2$, $ M_2\phi_1^2q_2$, $ M_3\phi_1^2q_2$, $ M_1q_1q_2$, $ \phi_1^2q_2^3$ | $\phi_1^3q_1q_2$, $ \phi_1^2q_1q_2^2$ | 0 | 4*t^2.27 + t^2.6 + t^3.08 + t^3.4 + 12*t^4.54 + 5*t^4.87 + 2*t^5.19 + 4*t^5.35 + 4*t^5.67 + t^6.16 - t^6.33 + t^6.48 + 27*t^6.81 + 14*t^7.13 + 7*t^7.46 + 12*t^7.62 + 2*t^7.79 + 12*t^7.94 - t^8.27 + 4*t^8.43 - 6*t^8.6 + 4*t^8.75 - 2*t^8.92 - t^4.13/y - t^5.27/y - t^5.6/y - (5*t^6.4)/y - t^6.73/y - t^7.21/y + t^7.54/y - t^8.19/y + (3*t^8.35)/y - (11*t^8.67)/y - t^4.13*y - t^5.27*y - t^5.6*y - 5*t^6.4*y - t^6.73*y - t^7.21*y + t^7.54*y - t^8.19*y + 3*t^8.35*y - 11*t^8.67*y | 4*g1^2*t^2.27 + t^2.6/g1^3 + g1^8*t^3.08 + g1^3*t^3.4 + 12*g1^4*t^4.54 + (5*t^4.87)/g1 + (2*t^5.19)/g1^6 + 4*g1^10*t^5.35 + 4*g1^5*t^5.67 + g1^16*t^6.16 - t^6.33/g1^5 + g1^11*t^6.48 + 27*g1^6*t^6.81 + 14*g1*t^7.13 + (7*t^7.46)/g1^4 + 12*g1^12*t^7.62 + (2*t^7.79)/g1^9 + 12*g1^7*t^7.94 - g1^2*t^8.27 + 4*g1^18*t^8.43 - (6*t^8.6)/g1^3 + 4*g1^13*t^8.75 - (2*t^8.92)/g1^8 - (g1*t^4.13)/y - (g1^2*t^5.27)/y - t^5.6/(g1^3*y) - (5*g1^3*t^6.4)/y - t^6.73/(g1^2*y) - (g1^9*t^7.21)/y + (g1^4*t^7.54)/y - t^8.19/(g1^6*y) + (3*g1^10*t^8.35)/y - (11*g1^5*t^8.67)/y - g1*t^4.13*y - g1^2*t^5.27*y - (t^5.6*y)/g1^3 - 5*g1^3*t^6.4*y - (t^6.73*y)/g1^2 - g1^9*t^7.21*y + g1^4*t^7.54*y - (t^8.19*y)/g1^6 + 3*g1^10*t^8.35*y - 11*g1^5*t^8.67*y |
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 |
---|---|---|---|---|---|---|---|---|
45321 | $\phi_1^4q_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_1$ + $ M_3\phi_1q_1q_2$ + $ M_4\phi_1^2q_2$ | 1.8333 | 1.9881 | 0.9222 | [X:[], M:[1.0476, 0.7619, 0.7619, 0.8571], q:[0.4762, 0.381], qb:[], phi:[0.381]] | 4*t^2.29 + 2*t^2.57 + t^3.14 + 12*t^4.57 + 9*t^4.86 + 4*t^5.14 + 4*t^5.43 + t^5.71 - t^6. - t^4.14/y - t^5.29/y - t^5.57/y - t^4.14*y - t^5.29*y - t^5.57*y | detail | {a: 11/6, c: 167/84, M1: 22/21, M2: 16/21, M3: 16/21, M4: 6/7, q1: 10/21, q2: 8/21, phi1: 8/21} |
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 |
---|---|---|---|---|---|---|---|---|---|
45009 | SO5adj1nf2 | $\phi_1^4q_1$ + $ M_1q_1^2$ + $ M_2\phi_1^2q_1$ | 1.8023 | 1.9338 | 0.932 | [X:[], M:[1.0344, 0.7586], q:[0.4828, 0.3793], qb:[], phi:[0.3793]] | 3*t^2.28 + t^2.59 + t^3.1 + t^3.41 + t^3.72 + 8*t^4.55 + 4*t^4.86 + 2*t^5.17 + 3*t^5.38 + 3*t^5.69 + 3*t^6. - t^4.14/y - t^5.28/y - t^5.59/y - t^4.14*y - t^5.28*y - t^5.59*y | detail |