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 |
---|---|---|---|---|---|---|---|---|---|
44937 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1\phi_1^2q_2$ | 1.8017 | 1.9175 | 0.9396 | [X:[], M:[0.8532], q:[0.5119, 0.4643], qb:[], phi:[0.3413]] | [X:[], M:[[-5]], q:[[-3], [9]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_1$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_1^2$, $ M_1q_2^2$, $ M_1q_1q_2$, $ q_2^4$, $ \phi_1^4q_1$, $ M_1q_1^2$, $ q_1q_2^3$, $ q_1^2q_2^2$ | $2\phi_1^3q_1q_2$ | 1 | t^2.05 + t^2.56 + t^2.79 + t^2.93 + t^3.07 + t^3.58 + t^3.95 + 2*t^4.1 + t^4.61 + 2*t^4.83 + 2*t^4.98 + 3*t^5.12 + t^5.35 + t^5.49 + t^5.57 + 2*t^5.63 + t^5.71 + t^5.86 + t^6. + 3*t^6.14 + t^6.37 + t^6.51 + 2*t^6.65 + t^6.74 + 3*t^6.88 + 3*t^7.02 + 4*t^7.17 + 2*t^7.39 + 3*t^7.54 + 2*t^7.62 + 5*t^7.68 + 3*t^7.76 + 4*t^7.9 + 4*t^8.05 + t^8.13 + 5*t^8.19 + t^8.27 + t^8.36 + 2*t^8.42 + t^8.5 + t^8.56 + t^8.64 + 4*t^8.7 + t^8.79 + 3*t^8.93 - t^4.02/y - t^5.42/y - t^5.56/y - (2*t^6.07)/y - t^6.58/y - t^6.81/y - t^6.95/y - t^7.1/y - t^7.46/y - t^7.61/y + t^7.83/y - (3*t^8.12)/y - t^8.2/y - t^8.35/y + t^8.71/y - t^8.86/y - t^4.02*y - t^5.42*y - t^5.56*y - 2*t^6.07*y - t^6.58*y - t^6.81*y - t^6.95*y - t^7.1*y - t^7.46*y - t^7.61*y + t^7.83*y - 3*t^8.12*y - t^8.2*y - t^8.35*y + t^8.71*y - t^8.86*y | t^2.05/g1^4 + t^2.56/g1^5 + g1^18*t^2.79 + g1^6*t^2.93 + t^3.07/g1^6 + t^3.58/g1^7 + g1^4*t^3.95 + (2*t^4.1)/g1^8 + t^4.61/g1^9 + 2*g1^14*t^4.83 + 2*g1^2*t^4.98 + (3*t^5.12)/g1^10 + g1^13*t^5.35 + g1*t^5.49 + g1^36*t^5.57 + (2*t^5.63)/g1^11 + g1^24*t^5.71 + g1^12*t^5.86 + t^6. + (3*t^6.14)/g1^12 + g1^11*t^6.37 + t^6.51/g1 + (2*t^6.65)/g1^13 + g1^22*t^6.74 + 3*g1^10*t^6.88 + (3*t^7.02)/g1^2 + (4*t^7.17)/g1^14 + 2*g1^9*t^7.39 + (3*t^7.54)/g1^3 + 2*g1^32*t^7.62 + (5*t^7.68)/g1^15 + 3*g1^20*t^7.76 + 4*g1^8*t^7.9 + (4*t^8.05)/g1^4 + g1^31*t^8.13 + (5*t^8.19)/g1^16 + g1^19*t^8.27 + g1^54*t^8.36 + 2*g1^7*t^8.42 + g1^42*t^8.5 + t^8.56/g1^5 + g1^30*t^8.64 + (4*t^8.7)/g1^17 + g1^18*t^8.79 + 3*g1^6*t^8.93 - t^4.02/(g1^2*y) - (g1^7*t^5.42)/y - t^5.56/(g1^5*y) - (2*t^6.07)/(g1^6*y) - t^6.58/(g1^7*y) - (g1^16*t^6.81)/y - (g1^4*t^6.95)/y - t^7.1/(g1^8*y) - (g1^3*t^7.46)/y - t^7.61/(g1^9*y) + (g1^14*t^7.83)/y - (3*t^8.12)/(g1^10*y) - (g1^25*t^8.2)/y - (g1^13*t^8.35)/y + (g1^24*t^8.71)/y - (g1^12*t^8.86)/y - (t^4.02*y)/g1^2 - g1^7*t^5.42*y - (t^5.56*y)/g1^5 - (2*t^6.07*y)/g1^6 - (t^6.58*y)/g1^7 - g1^16*t^6.81*y - g1^4*t^6.95*y - (t^7.1*y)/g1^8 - g1^3*t^7.46*y - (t^7.61*y)/g1^9 + g1^14*t^7.83*y - (3*t^8.12*y)/g1^10 - g1^25*t^8.2*y - g1^13*t^8.35*y + g1^24*t^8.71*y - g1^12*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
45083 | $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ | 1.7221 | 1.8086 | 0.9522 | [X:[1.3846], M:[0.7692], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] | t^2.31 + t^2.77 + 2*t^3.23 + 2*t^3.69 + 2*t^4.15 + 2*t^4.62 + 2*t^5.08 + 3*t^5.54 + 2*t^6. - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y | detail | {a: 30267/17576, c: 7947/4394, X1: 18/13, M1: 10/13, q1: 6/13, q2: 8/13, phi1: 4/13} |
45089 | $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ M_2q_1^2$ | 1.8043 | 1.9224 | 0.9385 | [X:[], M:[0.8593, 0.9689], q:[0.5156, 0.4533], qb:[], phi:[0.3437]] | t^2.06 + t^2.58 + t^2.72 + 2*t^2.91 + t^3.61 + t^3.94 + 2*t^4.12 + t^4.64 + 2*t^4.78 + 3*t^4.97 + 2*t^5.16 + t^5.3 + t^5.44 + 2*t^5.48 + 2*t^5.63 + t^5.67 + 2*t^5.81 - t^4.03/y - t^5.39/y - t^5.58/y - t^4.03*y - t^5.39*y - t^5.58*y | detail | |
45065 | $q_1^3q_2$ + $ M_1\phi_1^2q_2$ + $ \phi_1^2q_2^2$ + $ \phi_1^2X_1$ | 1.6285 | 1.7088 | 0.953 | [X:[1.4286], M:[0.7143], q:[0.4286, 0.7143], qb:[], phi:[0.2857]] | t^2.14 + t^2.57 + t^3. + 2*t^3.43 + 5*t^4.29 + t^4.71 + 2*t^5.14 + 2*t^5.57 + 2*t^6. - t^3.86/y - t^5.14/y - t^5.57/y - (2*t^6.)/y - t^3.86*y - t^5.14*y - t^5.57*y - 2*t^6.*y | detail | {a: 8937/5488, c: 4689/2744, X1: 10/7, M1: 5/7, q1: 3/7, q2: 5/7, phi1: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
44922 | SO5adj1nf2 | $q_1^3q_2$ | 1.789 | 1.8962 | 0.9435 | [X:[], M:[], q:[0.5144, 0.4567], qb:[], phi:[0.343]] | t^2.06 + t^2.74 + t^2.91 + t^3.09 + t^3.43 + t^3.6 + t^3.94 + 2*t^4.12 + 2*t^4.8 + 2*t^4.97 + 2*t^5.14 + t^5.48 + t^5.49 + t^5.65 + t^5.66 + t^5.83 + t^6. - t^4.03/y - t^5.4/y - t^5.57/y - t^4.03*y - t^5.4*y - t^5.57*y | detail |