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 |
---|---|---|---|---|---|---|---|---|---|
45482 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ + $ M_2M_5$ | 1.7834 | 1.8862 | 0.9455 | [X:[], M:[1.1122, 1.161, 0.839, 1.2585, 0.839], q:[0.4195, 0.4683], qb:[], phi:[0.3707]] | [X:[], M:[[-9], [-4], [4], [6], [4]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_5$, $ q_2^2$, $ M_1$, $ \phi_1^2q_2$, $ M_4$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1^2q_2^2$, $ M_3q_2^2$, $ M_5q_2^2$, $ q_2^4$, $ M_1M_3$, $ M_1M_5$ | $\phi_1^3q_1q_2$ | -1 | 2*t^2.52 + t^2.81 + t^3.34 + t^3.63 + 2*t^3.78 + t^4.45 + t^4.74 + t^4.89 + 4*t^5.03 + 2*t^5.33 + t^5.62 + t^5.85 - t^6. + 2*t^6.15 + 4*t^6.29 + t^6.44 + 2*t^6.59 + t^6.67 - t^6.82 + t^6.97 + t^7.11 + 3*t^7.26 + 4*t^7.4 + 9*t^7.55 + t^7.7 + t^7.79 + 4*t^7.84 + t^8.08 + 2*t^8.14 + 2*t^8.22 + t^8.37 + t^8.43 - t^8.52 + 4*t^8.66 + 6*t^8.81 + t^8.9 + 2*t^8.96 - t^4.11/y - t^5.37/y - t^5.52/y - t^6.34/y - (2*t^6.63)/y - t^6.92/y - t^7.45/y - t^7.74/y - (3*t^7.89)/y - t^8.03/y - t^8.18/y + t^8.33/y - t^8.56/y - t^4.11*y - t^5.37*y - t^5.52*y - t^6.34*y - 2*t^6.63*y - t^6.92*y - t^7.45*y - t^7.74*y - 3*t^7.89*y - t^8.03*y - t^8.18*y + t^8.33*y - t^8.56*y | 2*g1^4*t^2.52 + g1^14*t^2.81 + t^3.34/g1^9 + g1*t^3.63 + 2*g1^6*t^3.78 + t^4.45/g1^12 + t^4.74/g1^2 + g1^3*t^4.89 + 4*g1^8*t^5.03 + 2*g1^18*t^5.33 + g1^28*t^5.62 + t^5.85/g1^5 - t^6. + 2*g1^5*t^6.15 + 4*g1^10*t^6.29 + g1^15*t^6.44 + 2*g1^20*t^6.59 + t^6.67/g1^18 - t^6.82/g1^13 + t^6.97/g1^8 + t^7.11/g1^3 + 3*g1^2*t^7.26 + 4*g1^7*t^7.4 + 9*g1^12*t^7.55 + g1^17*t^7.7 + t^7.79/g1^21 + 4*g1^22*t^7.84 + t^8.08/g1^11 + 2*g1^32*t^8.14 + (2*t^8.22)/g1^6 + t^8.37/g1 + g1^42*t^8.43 - g1^4*t^8.52 + 4*g1^9*t^8.66 + 6*g1^14*t^8.81 + t^8.9/g1^24 + 2*g1^19*t^8.96 - t^4.11/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.52)/y - t^6.34/(g1^9*y) - (2*g1*t^6.63)/y - (g1^11*t^6.92)/y - t^7.45/(g1^12*y) - t^7.74/(g1^2*y) - (3*g1^3*t^7.89)/y - (g1^8*t^8.03)/y - (g1^13*t^8.18)/y + (g1^18*t^8.33)/y - t^8.56/(g1^15*y) - (t^4.11*y)/g1^3 - (t^5.37*y)/g1 - g1^4*t^5.52*y - (t^6.34*y)/g1^9 - 2*g1*t^6.63*y - g1^11*t^6.92*y - (t^7.45*y)/g1^12 - (t^7.74*y)/g1^2 - 3*g1^3*t^7.89*y - g1^8*t^8.03*y - g1^13*t^8.18*y + g1^18*t^8.33*y - (t^8.56*y)/g1^15 |
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 |
---|---|---|---|---|---|---|---|---|
45560 | $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ + $ M_2M_5$ + $ q_2^4$ | 1.7803 | 1.8785 | 0.9477 | [X:[], M:[1.0714, 1.1429, 0.8571, 1.2857, 0.8571], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | 2*t^2.57 + t^3. + t^3.21 + t^3.64 + 2*t^3.86 + t^4.29 + t^4.71 + t^4.93 + 4*t^5.14 + 2*t^5.57 + t^5.79 - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | {a: 5583/3136, c: 5891/3136, M1: 15/14, M2: 8/7, M3: 6/7, M4: 9/7, M5: 6/7, q1: 3/7, q2: 1/2, phi1: 5/14} |
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 |
---|---|---|---|---|---|---|---|---|---|
45337 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_4\phi_1^2$ | 1.7697 | 1.8616 | 0.9506 | [X:[], M:[1.1037, 1.1572, 0.8428, 1.2642], q:[0.4214, 0.4749], qb:[], phi:[0.3679]] | t^2.53 + t^2.85 + t^3.31 + t^3.47 + t^3.63 + 2*t^3.79 + t^4.41 + t^4.74 + t^4.9 + 2*t^5.06 + t^5.38 + t^5.7 - t^4.1/y - t^5.37/y - t^5.53/y - t^4.1*y - t^5.37*y - t^5.53*y | detail |