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 |
---|---|---|---|---|---|---|---|---|---|
46210 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_2$ | 0.6509 | 0.8273 | 0.7868 | [X:[], M:[0.8226, 0.7098, 1.1451], q:[0.75, 0.4274], qb:[0.3951, 0.4274], phi:[0.5]] | [X:[], M:[[-1], [4], [-2]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_1M_2$, $ M_2q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_1M_3$, $ M_3q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.13 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + 2*t^3.97 + 3*t^4.06 + t^4.26 + 3*t^4.6 + 6*t^4.94 + t^5.13 + 3*t^5.47 + 2*t^5.56 + t^5.66 + 4*t^5.9 - 2*t^6. + 3*t^6.19 + t^6.39 + 6*t^6.44 + 6*t^6.53 + 3*t^6.73 + 2*t^6.87 + 6*t^7.06 + t^7.26 + 10*t^7.4 + 2*t^7.6 + 2*t^7.69 + t^7.79 + 5*t^7.94 + 6*t^8.03 + 3*t^8.13 + 3*t^8.32 + 6*t^8.37 - 9*t^8.47 + t^8.52 + 6*t^8.66 + 3*t^8.86 + 10*t^8.9 - t^4.5/y - t^6.63/y - t^6.97/y + t^7.06/y + (3*t^7.6)/y + (2*t^7.94)/y + t^8.03/y + t^8.13/y + t^8.37/y + (3*t^8.47)/y + (2*t^8.56)/y + t^8.66/y - t^8.76/y + (6*t^8.9)/y - t^4.5*y - t^6.63*y - t^6.97*y + t^7.06*y + 3*t^7.6*y + 2*t^7.94*y + t^8.03*y + t^8.13*y + t^8.37*y + 3*t^8.47*y + 2*t^8.56*y + t^8.66*y - t^8.76*y + 6*t^8.9*y | g1^4*t^2.13 + (3*t^2.47)/g1 + t^3. + (2*t^3.44)/g1^2 + g1*t^3.53 + (2*t^3.97)/g1 + 3*g1^2*t^4.06 + g1^8*t^4.26 + 3*g1^3*t^4.6 + (6*t^4.94)/g1^2 + g1^4*t^5.13 + (3*t^5.47)/g1 + 2*g1^2*t^5.56 + g1^5*t^5.66 + (4*t^5.9)/g1^3 - 2*t^6. + 3*g1^6*t^6.19 + g1^12*t^6.39 + (6*t^6.44)/g1^2 + 6*g1*t^6.53 + 3*g1^7*t^6.73 + (2*t^6.87)/g1^4 + 6*g1^2*t^7.06 + g1^8*t^7.26 + (10*t^7.4)/g1^3 + 2*g1^3*t^7.6 + 2*g1^6*t^7.69 + g1^9*t^7.79 + (5*t^7.94)/g1^2 + 6*g1*t^8.03 + 3*g1^4*t^8.13 + 3*g1^10*t^8.32 + (6*t^8.37)/g1^4 - (9*t^8.47)/g1 + g1^16*t^8.52 + 6*g1^5*t^8.66 + 3*g1^11*t^8.86 + (10*t^8.9)/g1^3 - t^4.5/y - (g1^4*t^6.63)/y - t^6.97/(g1*y) + (g1^2*t^7.06)/y + (3*g1^3*t^7.6)/y + (2*t^7.94)/(g1^2*y) + (g1*t^8.03)/y + (g1^4*t^8.13)/y + t^8.37/(g1^4*y) + (3*t^8.47)/(g1*y) + (2*g1^2*t^8.56)/y + (g1^5*t^8.66)/y - (g1^8*t^8.76)/y + (6*t^8.9)/(g1^3*y) - t^4.5*y - g1^4*t^6.63*y - (t^6.97*y)/g1 + g1^2*t^7.06*y + 3*g1^3*t^7.6*y + (2*t^7.94*y)/g1^2 + g1*t^8.03*y + g1^4*t^8.13*y + (t^8.37*y)/g1^4 + (3*t^8.47*y)/g1 + 2*g1^2*t^8.56*y + g1^5*t^8.66*y - g1^8*t^8.76*y + (6*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
46469 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6717 | 0.8683 | 0.7736 | [X:[], M:[0.8229, 0.7086, 1.1457, 0.6771], q:[0.75, 0.4271], qb:[0.3957, 0.4271], phi:[0.5]] | t^2.03 + t^2.13 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + t^3.97 + 4*t^4.06 + t^4.16 + t^4.25 + 3*t^4.5 + 3*t^4.59 + 6*t^4.94 + t^5.03 + t^5.13 + 5*t^5.47 + 3*t^5.56 + t^5.66 + 4*t^5.91 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
46020 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0.6642 | 0.8511 | 0.7804 | [X:[], M:[0.83, 0.6801], q:[0.75, 0.42], qb:[0.41, 0.42], phi:[0.5]] | t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + 2*t^3.99 + 3*t^4.02 + t^4.08 + 3*t^4.53 + t^4.56 + 6*t^4.98 + 3*t^5.01 + 2*t^5.04 + 3*t^5.49 + 2*t^5.52 + t^5.55 + t^5.97 - t^6. - t^4.5/y - t^4.5*y | detail |