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 |
---|---|---|---|---|---|---|---|---|---|
45166 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ M_3q_1^2$ | 1.7363 | 1.8255 | 0.9511 | [X:[], M:[1.2, 1.2, 1.1729], q:[0.4135, 0.3865], qb:[], phi:[0.4]] | [X:[], M:[[0], [0], [2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2^2$, $ M_3$, $ \phi_1^2q_2$, $ M_1$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1$, $ q_2^4$, $ \phi_1^2q_2^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_3q_2^2$, $ \phi_1^2q_2^3$, $ M_2q_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1^2q_1q_2^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.32 + t^3.52 + t^3.56 + 3*t^3.6 + t^3.64 + t^4.64 + t^4.72 + 2*t^4.8 + t^4.88 + t^5.84 + t^5.88 + 2*t^5.92 + t^5.96 - t^6. - t^6.08 + t^6.96 + 2*t^7.04 + t^7.08 + 5*t^7.12 + 3*t^7.16 + 6*t^7.2 + 2*t^7.24 + t^8.16 + t^8.2 + 3*t^8.24 + 2*t^8.28 + 2*t^8.32 + 2*t^8.36 + 4*t^8.4 + 2*t^8.44 + t^8.48 + t^8.52 - t^4.2/y - t^5.36/y - t^5.44/y - t^6.52/y - t^6.6/y - t^7.68/y - t^7.72/y - (2*t^7.76)/y - (2*t^7.8)/y - t^7.84/y + t^8.92/y - t^8.96/y - t^4.2*y - t^5.36*y - t^5.44*y - t^6.52*y - t^6.6*y - t^7.68*y - t^7.72*y - 2*t^7.76*y - 2*t^7.8*y - t^7.84*y + t^8.92*y - t^8.96*y | g1^2*t^2.32 + g1^2*t^3.52 + g1*t^3.56 + 3*t^3.6 + t^3.64/g1 + g1^4*t^4.64 + g1^2*t^4.72 + 2*t^4.8 + t^4.88/g1^2 + g1^4*t^5.84 + g1^3*t^5.88 + 2*g1^2*t^5.92 + g1*t^5.96 - t^6. - t^6.08/g1^2 + g1^6*t^6.96 + 2*g1^4*t^7.04 + g1^3*t^7.08 + 5*g1^2*t^7.12 + 3*g1*t^7.16 + 6*t^7.2 + (2*t^7.24)/g1 + g1^6*t^8.16 + g1^5*t^8.2 + 3*g1^4*t^8.24 + 2*g1^3*t^8.28 + 2*g1^2*t^8.32 + 2*g1*t^8.36 + 4*t^8.4 + (2*t^8.44)/g1 + t^8.48/g1^2 + t^8.52/g1^3 - t^4.2/y - (g1*t^5.36)/y - t^5.44/(g1*y) - (g1^2*t^6.52)/y - t^6.6/y - (g1^3*t^7.68)/y - (g1^2*t^7.72)/y - (2*g1*t^7.76)/y - (2*t^7.8)/y - t^7.84/(g1*y) + (g1^2*t^8.92)/y - (g1*t^8.96)/y - t^4.2*y - g1*t^5.36*y - (t^5.44*y)/g1 - g1^2*t^6.52*y - t^6.6*y - g1^3*t^7.68*y - g1^2*t^7.72*y - 2*g1*t^7.76*y - 2*t^7.8*y - (t^7.84*y)/g1 + g1^2*t^8.92*y - g1*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
45349 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ + $ M_3q_1^2$ + $ M_4\phi_1^2q_1$ | 1.7538 | 1.8574 | 0.9442 | [X:[], M:[1.2, 1.2, 1.1611, 0.7806], q:[0.4194, 0.3806], qb:[], phi:[0.4]] | t^2.28 + t^2.34 + t^3.48 + t^3.54 + 3*t^3.6 + t^4.57 + t^4.63 + 2*t^4.68 + 2*t^4.8 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 - t^6. - t^4.2/y - t^5.34/y - t^5.46/y - t^4.2*y - t^5.34*y - t^5.46*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 |
---|---|---|---|---|---|---|---|---|---|
45098 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2\phi_1^2$ | 1.752 | 1.852 | 0.946 | [X:[], M:[1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | 2*t^2.4 + 5*t^3.6 + 7*t^4.8 + 7*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 219/125, c: 463/250, M1: 6/5, M2: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |