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 |
---|---|---|---|---|---|---|---|---|---|
44966 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ | 1.8092 | 1.9284 | 0.9382 | [X:[], M:[1.0801, 0.8129], q:[0.467, 0.4529], qb:[], phi:[0.36]] | [X:[], M:[[-3, -3], [-1, 2]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^2$, $ M_2$, $ q_2^2$, $ q_1^2$, $ M_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ M_2q_2^2$, $ M_2q_1^2$, $ M_1\phi_1^2$, $ q_2^4$, $ q_1^2q_2^2$, $ q_1^4$, $ M_1M_2$, $ \phi_1^4q_2$, $ M_2\phi_1^2q_2$ | $2\phi_1^3q_1q_2$ | 0 | t^2.16 + t^2.44 + t^2.72 + t^2.8 + t^3.24 + t^3.52 + t^3.84 + 2*t^4.32 + t^4.6 + 3*t^4.88 + t^4.92 + 2*t^4.96 + t^5.16 + t^5.24 + t^5.4 + t^5.44 + t^5.52 + t^5.6 + 2*t^5.68 + t^5.96 + t^6.24 + t^6.28 + t^6.32 + 3*t^6.48 + t^6.56 + t^6.64 + 2*t^6.76 - t^6.8 + 4*t^7.04 + t^7.08 + 2*t^7.12 + 3*t^7.32 + 2*t^7.36 + 2*t^7.4 + 2*t^7.56 + 3*t^7.6 + t^7.64 + 4*t^7.68 + t^7.72 + 2*t^7.76 + 3*t^7.84 + t^7.87 + t^7.96 + t^8.04 + 2*t^8.12 + t^8.15 + t^8.16 + t^8.24 + t^8.32 + 3*t^8.4 + t^8.41 + t^8.48 + 4*t^8.64 + t^8.68 + t^8.72 + 3*t^8.92 + t^8.95 - t^8.96 - t^4.08/y - t^5.44/y - t^5.48/y - (2*t^6.24)/y - t^6.52/y - t^6.8/y - t^6.88/y - t^7.32/y - t^7.6/y - t^7.64/y - t^7.92/y + t^7.96/y - t^8.2/y - t^8.28/y - (2*t^8.4)/y + t^8.52/y - (2*t^8.96)/y - t^4.08*y - t^5.44*y - t^5.48*y - 2*t^6.24*y - t^6.52*y - t^6.8*y - t^6.88*y - t^7.32*y - t^7.6*y - t^7.64*y - t^7.92*y + t^7.96*y - t^8.2*y - t^8.28*y - 2*t^8.4*y + t^8.52*y - 2*t^8.96*y | t^2.16/(g1^2*g2^2) + (g2^2*t^2.44)/g1 + g2^6*t^2.72 + g1^6*t^2.8 + t^3.24/(g1^3*g2^3) + (g2*t^3.52)/g1^2 + g1^2*g2^2*t^3.84 + (2*t^4.32)/(g1^4*g2^4) + t^4.6/g1^3 + (3*g2^4*t^4.88)/g1^2 + g1*g2*t^4.92 + (2*g1^4*t^4.96)/g2^2 + (g2^8*t^5.16)/g1 + g1^5*g2^2*t^5.24 + t^5.4/(g1^5*g2^5) + g2^12*t^5.44 + g1^6*g2^6*t^5.52 + g1^12*t^5.6 + (2*t^5.68)/(g1^4*g2) + (g2^3*t^5.96)/g1^3 + (g2^7*t^6.24)/g1^2 + g1*g2^4*t^6.28 + g1^4*g2*t^6.32 + (3*t^6.48)/(g1^6*g2^6) + g1^2*g2^8*t^6.56 + g1^8*g2^2*t^6.64 + (2*t^6.76)/(g1^5*g2^2) - t^6.8/(g1^2*g2^5) + (4*g2^2*t^7.04)/g1^4 + t^7.08/(g1*g2) + (2*g1^2*t^7.12)/g2^4 + (3*g2^6*t^7.32)/g1^3 + 2*g2^3*t^7.36 + 2*g1^3*t^7.4 + (2*t^7.56)/(g1^7*g2^7) + (3*g2^10*t^7.6)/g1^2 + g1*g2^7*t^7.64 + 4*g1^4*g2^4*t^7.68 + g1^7*g2*t^7.72 + (2*g1^10*t^7.76)/g2^2 + (3*t^7.84)/(g1^6*g2^3) + (g2^14*t^7.87)/g1 + g1^5*g2^8*t^7.96 + g1^11*g2^2*t^8.04 + (2*g2*t^8.12)/g1^5 + g2^18*t^8.15 + t^8.16/(g1^2*g2^2) + g1^6*g2^12*t^8.24 + g1^12*g2^6*t^8.32 + (3*g2^5*t^8.4)/g1^4 + g1^18*t^8.41 + (g1^2*t^8.48)/g2 + (4*t^8.64)/(g1^8*g2^8) + (g2^9*t^8.68)/g1^3 + g2^6*t^8.72 + (3*t^8.92)/(g1^7*g2^4) + (g2^13*t^8.95)/g1^2 - t^8.96/(g1^4*g2^7) - t^4.08/(g1*g2*y) - (g2^2*t^5.44)/(g1*y) - (g1^2*t^5.48)/(g2*y) - (2*t^6.24)/(g1^3*g2^3*y) - (g2*t^6.52)/(g1^2*y) - (g2^5*t^6.8)/(g1*y) - (g1^5*t^6.88)/(g2*y) - t^7.32/(g1^4*g2^4*y) - t^7.6/(g1^3*y) - t^7.64/(g2^3*y) - (g1*g2*t^7.92)/y + (g1^4*t^7.96)/(g2^2*y) - (g1^2*g2^5*t^8.2)/y - (g1^8*t^8.28)/(g2*y) - (2*t^8.4)/(g1^5*g2^5*y) + (g1^6*g2^6*t^8.52)/y - (2*g2^3*t^8.96)/(g1^3*y) - (t^4.08*y)/(g1*g2) - (g2^2*t^5.44*y)/g1 - (g1^2*t^5.48*y)/g2 - (2*t^6.24*y)/(g1^3*g2^3) - (g2*t^6.52*y)/g1^2 - (g2^5*t^6.8*y)/g1 - (g1^5*t^6.88*y)/g2 - (t^7.32*y)/(g1^4*g2^4) - (t^7.6*y)/g1^3 - (t^7.64*y)/g2^3 - g1*g2*t^7.92*y + (g1^4*t^7.96*y)/g2^2 - g1^2*g2^5*t^8.2*y - (g1^8*t^8.28*y)/g2 - (2*t^8.4*y)/(g1^5*g2^5) + g1^6*g2^6*t^8.52*y - (2*g2^3*t^8.96*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
45018 | $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ M_3q_2^2$ | 1.8036 | 1.9184 | 0.9401 | [X:[], M:[1.0524, 0.8375, 1.0266], q:[0.4609, 0.4867], qb:[], phi:[0.3508]] | t^2.1 + t^2.51 + t^2.77 + t^3.08 + t^3.16 + t^3.57 + t^3.9 + 2*t^4.21 + t^4.62 + 2*t^4.87 + t^4.95 + 2*t^5.03 + t^5.18 + t^5.26 + t^5.28 + t^5.53 + t^5.59 + 2*t^5.67 + t^5.84 - t^4.05/y - t^5.43/y - t^5.51/y - t^4.05*y - t^5.43*y - t^5.51*y | detail | |
45032 | $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ \phi_1^2q_1^2$ + $ \phi_1^2X_1$ | 1.6678 | 1.7694 | 0.9426 | [X:[1.3495], M:[0.9757, 0.6748], q:[0.6748, 0.3495], qb:[], phi:[0.3252]] | t^2.02 + t^2.1 + t^2.93 + t^3. + t^3.9 + 5*t^4.05 + t^4.12 + t^4.19 + t^4.95 + 2*t^5.02 + t^5.1 + t^5.85 + t^5.93 + t^6. - t^3.98/y - t^5.02/y - t^5.93/y - (2*t^6.)/y - t^3.98*y - t^5.02*y - t^5.93*y - 2*t^6.*y | detail | |
44985 | $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ + $ q_1^4$ | 1.8063 | 1.9253 | 0.9382 | [X:[], M:[1.0528, 0.7981], q:[0.5, 0.4472], qb:[], phi:[0.3509]] | t^2.11 + t^2.39 + t^2.68 + t^3. + t^3.16 + t^3.45 + t^3.89 + 2*t^4.21 + t^4.5 + 3*t^4.79 + t^4.95 + t^5.08 + 2*t^5.11 + t^5.26 + t^5.37 + t^5.39 + 2*t^5.55 + t^5.68 + t^5.84 + t^6. - t^4.05/y - t^5.39/y - t^5.55/y - t^4.05*y - t^5.39*y - t^5.55*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 |
---|---|---|---|---|---|---|---|---|---|
44923 | SO5adj1nf2 | $M_1q_1q_2$ | 1.7938 | 1.9011 | 0.9435 | [X:[], M:[1.0769], q:[0.4615, 0.4615], qb:[], phi:[0.359]] | t^2.15 + 2*t^2.77 + t^3.23 + 2*t^3.54 + t^3.85 + 2*t^4.31 + 5*t^4.92 + t^5.38 + 3*t^5.54 + 2*t^5.69 - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y | detail | {a: 14551/8112, c: 7711/4056, M1: 14/13, q1: 6/13, q2: 6/13, phi1: 14/39} |