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 |
---|---|---|---|---|---|---|---|---|---|
44933 | SO5adj1nf2 | $q_1^3q_2$ + $ M_1q_1q_2$ | 1.7866 | 1.8917 | 0.9445 | [X:[], M:[1.0214], q:[0.5107, 0.4679], qb:[], phi:[0.3405]] | [X:[], M:[[-6]], q:[[-3], [9]], qb:[], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ q_2^2$, $ M_1$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^4q_2$, $ \phi_1^4q_1$, $ q_2^4$, $ M_1q_2^2$ | $2\phi_1^3q_1q_2$ | 0 | t^2.04 + t^2.81 + 2*t^3.06 + t^3.45 + t^3.57 + t^3.96 + 2*t^4.09 + 2*t^4.85 + t^4.98 + 3*t^5.11 + t^5.49 + 2*t^5.62 + t^5.87 + 4*t^6.13 + t^6.25 + t^6.38 + t^6.51 + t^6.64 + t^6.76 + 3*t^6.89 + 3*t^7.02 + 5*t^7.15 + t^7.4 + 3*t^7.53 + 4*t^7.66 + t^7.79 + 3*t^7.91 + 2*t^8.04 + 6*t^8.17 + 2*t^8.3 + t^8.42 + 2*t^8.43 + 2*t^8.55 + 3*t^8.68 + 3*t^8.94 - t^4.02/y - t^5.43/y - t^5.55/y - (2*t^6.06)/y - t^6.83/y - (2*t^7.09)/y - (2*t^7.47)/y - (2*t^7.6)/y + t^7.85/y - t^8.11/y - t^8.23/y - t^8.36/y - t^8.87/y - t^4.02*y - t^5.43*y - t^5.55*y - 2*t^6.06*y - t^6.83*y - 2*t^7.09*y - 2*t^7.47*y - 2*t^7.6*y + t^7.85*y - t^8.11*y - t^8.23*y - t^8.36*y - t^8.87*y | t^2.04/g1^4 + g1^18*t^2.81 + (2*t^3.06)/g1^6 + g1^5*t^3.45 + t^3.57/g1^7 + g1^4*t^3.96 + (2*t^4.09)/g1^8 + 2*g1^14*t^4.85 + g1^2*t^4.98 + (3*t^5.11)/g1^10 + g1*t^5.49 + t^5.62/g1^11 + g1^36*t^5.62 + g1^12*t^5.87 + (4*t^6.13)/g1^12 + g1^23*t^6.25 + g1^11*t^6.38 + t^6.51/g1 + t^6.64/g1^13 + g1^22*t^6.76 + 3*g1^10*t^6.89 + (3*t^7.02)/g1^2 + (5*t^7.15)/g1^14 + g1^9*t^7.4 + (3*t^7.53)/g1^3 + (2*t^7.66)/g1^15 + 2*g1^32*t^7.66 + g1^20*t^7.79 + 3*g1^8*t^7.91 + (2*t^8.04)/g1^4 + (6*t^8.17)/g1^16 + 2*g1^19*t^8.3 + g1^54*t^8.42 + 2*g1^7*t^8.43 + (2*t^8.55)/g1^5 + (2*t^8.68)/g1^17 + g1^30*t^8.68 + 3*g1^6*t^8.94 - t^4.02/(g1^2*y) - (g1^7*t^5.43)/y - t^5.55/(g1^5*y) - (2*t^6.06)/(g1^6*y) - (g1^16*t^6.83)/y - (2*t^7.09)/(g1^8*y) - (2*g1^3*t^7.47)/y - (2*t^7.6)/(g1^9*y) + (g1^14*t^7.85)/y - t^8.11/(g1^10*y) - (g1^25*t^8.23)/y - (g1^13*t^8.36)/y - (g1^12*t^8.87)/y - (t^4.02*y)/g1^2 - g1^7*t^5.43*y - (t^5.55*y)/g1^5 - (2*t^6.06*y)/g1^6 - g1^16*t^6.83*y - (2*t^7.09*y)/g1^8 - 2*g1^3*t^7.47*y - (2*t^7.6*y)/g1^9 + g1^14*t^7.85*y - (t^8.11*y)/g1^10 - g1^25*t^8.23*y - g1^13*t^8.36*y - g1^12*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
44991 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ M_1\phi_1^2$ + $ q_2^2X_1$ | 1.5705 | 1.6455 | 0.9544 | [X:[1.6], M:[1.2], q:[0.6, 0.2], qb:[], phi:[0.4]] | t^2.4 + t^3. + 4*t^3.6 + t^4.2 + 3*t^4.8 + t^5.4 + 4*t^6. - t^4.2/y - t^4.8/y - t^6./y - t^4.2*y - t^4.8*y - t^6.*y | detail | {a: 3141/2000, c: 3291/2000, X1: 8/5, M1: 6/5, q1: 3/5, q2: 1/5, phi1: 2/5} |
45024 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ M_2\phi_1^2q_2$ | 1.7998 | 1.9142 | 0.9402 | [X:[], M:[1.0163, 0.847], q:[0.5082, 0.4755], qb:[], phi:[0.3388]] | t^2.03 + t^2.54 + t^2.85 + 2*t^3.05 + t^3.56 + t^3.97 + 2*t^4.07 + t^4.57 + 2*t^4.89 + t^4.98 + 4*t^5.08 + t^5.39 + 3*t^5.59 + t^5.71 + t^5.9 - t^4.02/y - t^5.44/y - t^5.54/y - t^4.02*y - t^5.44*y - t^5.54*y | detail | |
44982 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ M_2\phi_1^2$ | 1.7659 | 1.851 | 0.954 | [X:[], M:[1.0218, 1.3188], q:[0.5109, 0.4673], qb:[], phi:[0.3406]] | t^2.8 + 2*t^3.07 + t^3.45 + t^3.58 + 2*t^3.96 + t^4.09 + t^4.85 + t^4.98 + t^5.11 + t^5.61 + t^5.87 - t^6. - t^4.02/y - t^5.42/y - t^5.55/y - t^4.02*y - t^5.42*y - t^5.55*y | detail | |
45091 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2q_2^2$ + $ \phi_1^2X_1$ | 1.6208 | 1.6922 | 0.9578 | [X:[1.4286], M:[0.8571], q:[0.4286, 0.7143], qb:[], phi:[0.2857]] | 2*t^2.57 + t^3. + t^3.43 + t^3.86 + 4*t^4.29 + 3*t^5.14 + t^5.57 + 2*t^6. - t^3.86/y - t^5.14/y - t^5.57/y - t^6./y - t^3.86*y - t^5.14*y - t^5.57*y - t^6.*y | detail | {a: 8895/5488, c: 9287/5488, X1: 10/7, M1: 6/7, q1: 3/7, q2: 5/7, phi1: 2/7} |
45053 | $q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^4q_1$ | 1.7554 | 1.8634 | 0.9421 | [X:[], M:[1.0909], q:[0.5455, 0.3636], qb:[], phi:[0.3636]] | 2*t^2.18 + 3*t^3.27 + 2*t^3.82 + 5*t^4.36 + t^4.91 + 6*t^5.45 + 3*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: 37383/21296, c: 19841/10648, M1: 12/11, q1: 6/11, q2: 4/11, phi1: 4/11} |
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 |