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 |
---|---|---|---|---|---|---|---|---|---|
2356 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_3M_5$ + $ M_6M_7$ | 0.6995 | 0.8567 | 0.8166 | [X:[], M:[0.9426, 1.0287, 1.0, 0.9426, 1.0, 1.0574, 0.9426], q:[0.5862, 0.4713], qb:[0.4713, 0.5287], phi:[0.4856]] | [X:[], M:[[-4], [2], [0], [-4], [0], [4], [-4]], q:[[6], [-2]], qb:[[-2], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ M_7$, $ M_3$, $ M_5$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1M_7$, $ M_4M_7$, $ M_7^2$, $ M_1M_3$, $ M_3M_4$, $ M_1M_5$, $ M_4M_5$, $ M_3M_7$, $ M_5M_7$, $ M_1M_2$, $ M_2M_4$, $ M_2M_7$ | $M_5^2$ | -3 | 3*t^2.83 + 2*t^3. + t^3.09 + t^3.34 + 3*t^4.28 + 2*t^4.46 + 3*t^4.63 + t^4.8 + t^4.97 + 4*t^5.66 + 3*t^5.83 + 3*t^5.91 - 3*t^6. + 2*t^6.09 + t^6.43 + t^6.69 + 7*t^7.11 + 7*t^7.28 + 5*t^7.46 + 4*t^7.63 + 2*t^7.8 + 3*t^7.97 + t^8.15 + t^8.32 + 5*t^8.48 + 5*t^8.57 + t^8.66 + 8*t^8.74 - 11*t^8.83 + 10*t^8.91 - t^4.46/y - (2*t^7.28)/y + (2*t^7.63)/y + (3*t^8.66)/y + (6*t^8.83)/y + (3*t^8.91)/y - t^4.46*y - 2*t^7.28*y + 2*t^7.63*y + 3*t^8.66*y + 6*t^8.83*y + 3*t^8.91*y | (3*t^2.83)/g1^4 + 2*t^3. + g1^2*t^3.09 + g1^8*t^3.34 + (3*t^4.28)/g1^5 + (2*t^4.46)/g1 + 3*g1^3*t^4.63 + g1^7*t^4.8 + g1^11*t^4.97 + (4*t^5.66)/g1^8 + (3*t^5.83)/g1^4 + (3*t^5.91)/g1^2 - 3*t^6. + 2*g1^2*t^6.09 + g1^10*t^6.43 + g1^16*t^6.69 + (7*t^7.11)/g1^9 + (7*t^7.28)/g1^5 + (5*t^7.46)/g1 + 4*g1^3*t^7.63 + 2*g1^7*t^7.8 + 3*g1^11*t^7.97 + g1^15*t^8.15 + g1^19*t^8.32 + (5*t^8.48)/g1^12 + (5*t^8.57)/g1^10 + t^8.66/g1^8 + (8*t^8.74)/g1^6 - (11*t^8.83)/g1^4 + (10*t^8.91)/g1^2 - t^4.46/(g1*y) - (2*t^7.28)/(g1^5*y) + (2*g1^3*t^7.63)/y + (3*t^8.66)/(g1^8*y) + (6*t^8.83)/(g1^4*y) + (3*t^8.91)/(g1^2*y) - (t^4.46*y)/g1 - (2*t^7.28*y)/g1^5 + 2*g1^3*t^7.63*y + (3*t^8.66*y)/g1^8 + (6*t^8.83*y)/g1^4 + (3*t^8.91*y)/g1^2 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1317 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_3M_5$ | 0.6951 | 0.8495 | 0.8182 | [X:[], M:[0.9616, 1.0192, 1.0, 0.9616, 1.0, 1.0384], q:[0.5575, 0.4808], qb:[0.4808, 0.5192], phi:[0.4904]] | 2*t^2.88 + 2*t^3. + t^3.06 + t^3.12 + t^3.23 + 3*t^4.36 + 2*t^4.47 + 3*t^4.59 + t^4.7 + t^4.82 + t^5.77 + t^5.88 + 2*t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |