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 |
---|---|---|---|---|---|---|---|---|---|
45040 | SO5adj1nf2 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2q_1$ | 1.8266 | 1.9758 | 0.9245 | [X:[], M:[0.773, 0.773], q:[0.454, 0.3865], qb:[], phi:[0.3865]] | [X:[], M:[[2], [2]], q:[[-4], [1]], qb:[], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ \phi_1^2$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ M_1q_2^2$, $ M_2q_2^2$, $ \phi_1^2q_2^2$, $ q_2^4$, $ M_1q_1q_2$, $ M_2q_1q_2$, $ \phi_1^2q_1q_2$, $ q_1q_2^3$, $ M_1q_1^2$, $ M_2q_1^2$, $ \phi_1^2q_1^2$, $ q_1^2q_2^2$, $ q_1^3q_2$, $ q_1^4$, $ M_1\phi_1^2q_2$, $ M_2\phi_1^2q_2$, $ \phi_1^4q_2$, $ \phi_1^2q_2^3$ | $\phi_1^3q_1q_2$, $ \phi_1^2q_1q_2^2$ | 0 | 4*t^2.32 + t^2.52 + t^2.72 + t^3.48 + 12*t^4.64 + 5*t^4.84 + 6*t^5.04 + t^5.25 + t^5.45 + 3*t^5.8 + 27*t^6.96 + 14*t^7.16 + 19*t^7.36 + 7*t^7.56 + 6*t^7.77 + t^7.97 + 7*t^8.12 + t^8.17 - 3*t^8.32 - 3*t^8.52 - 2*t^8.72 - t^4.16/y - t^5.32/y - t^5.52/y - (5*t^6.48)/y - t^6.68/y - t^6.88/y + t^7.64/y + (2*t^8.04)/y - (11*t^8.8)/y - t^4.16*y - t^5.32*y - t^5.52*y - 5*t^6.48*y - t^6.68*y - t^6.88*y + t^7.64*y + 2*t^8.04*y - 11*t^8.8*y | 4*g1^2*t^2.32 + t^2.52/g1^3 + t^2.72/g1^8 + g1^3*t^3.48 + 12*g1^4*t^4.64 + (5*t^4.84)/g1 + (6*t^5.04)/g1^6 + t^5.25/g1^11 + t^5.45/g1^16 + 3*g1^5*t^5.8 + 27*g1^6*t^6.96 + 14*g1*t^7.16 + (19*t^7.36)/g1^4 + (7*t^7.56)/g1^9 + (6*t^7.77)/g1^14 + t^7.97/g1^19 + 7*g1^7*t^8.12 + t^8.17/g1^24 - 3*g1^2*t^8.32 - (3*t^8.52)/g1^3 - (2*t^8.72)/g1^8 - (g1*t^4.16)/y - (g1^2*t^5.32)/y - t^5.52/(g1^3*y) - (5*g1^3*t^6.48)/y - t^6.68/(g1^2*y) - t^6.88/(g1^7*y) + (g1^4*t^7.64)/y + (2*t^8.04)/(g1^6*y) - (11*g1^5*t^8.8)/y - g1*t^4.16*y - g1^2*t^5.32*y - (t^5.52*y)/g1^3 - 5*g1^3*t^6.48*y - (t^6.68*y)/g1^2 - (t^6.88*y)/g1^7 + g1^4*t^7.64*y + (2*t^8.04*y)/g1^6 - 11*g1^5*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
45172 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2q_1$ + $ M_1\phi_1^2q_2$ | 1.818 | 1.968 | 0.9238 | [X:[], M:[0.8, 0.8], q:[0.4, 0.4], qb:[], phi:[0.4]] | 6*t^2.4 + t^3.6 + 25*t^4.8 + 3*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 909/500, c: 246/125, M1: 4/5, M2: 4/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
45150 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2q_1$ + $ q_1^3q_2$ | 1.8034 | 1.9512 | 0.9243 | [X:[], M:[0.7273, 0.7273], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] | 4*t^2.18 + t^2.73 + 2*t^3.27 + 12*t^4.36 + 5*t^4.91 + 9*t^5.45 + t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y | detail | {a: 19203/10648, c: 2597/1331, M1: 8/11, M2: 8/11, q1: 6/11, q2: 4/11, phi1: 4/11} |
45167 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ + $ M_2\phi_1^2q_1$ + $ q_1^4$ | 1.8206 | 1.9691 | 0.9246 | [X:[], M:[0.75, 0.75], q:[0.5, 0.375], qb:[], phi:[0.375]] | 4*t^2.25 + t^2.62 + t^3. + t^3.38 + 12*t^4.5 + 5*t^4.88 + 6*t^5.25 + 4*t^5.62 + t^6. - t^4.12/y - t^5.25/y - t^5.62/y - t^4.12*y - t^5.25*y - t^5.62*y | detail | {a: 29829/16384, c: 32261/16384, M1: 3/4, M2: 3/4, q1: 1/2, q2: 3/8, phi1: 3/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
44947 | SO5adj1nf2 | $M_1\phi_1q_1q_2$ + $ \phi_1^4q_1$ | 1.8087 | 1.9438 | 0.9305 | [X:[], M:[0.7752], q:[0.4496, 0.3876], qb:[], phi:[0.3876]] | 3*t^2.33 + t^2.51 + t^2.7 + t^3.49 + t^3.67 + 8*t^4.65 + 4*t^4.84 + 5*t^5.02 + t^5.21 + t^5.39 + 2*t^5.81 + 3*t^6. - t^4.16/y - t^5.33/y - t^5.51/y - t^4.16*y - t^5.33*y - t^5.51*y | detail |