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 |
---|---|---|---|---|---|---|---|---|---|
2498 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_3M_7$ | 0.6933 | 0.8493 | 0.8163 | [X:[], M:[1.0309, 0.9537, 0.9691, 1.0154, 1.0, 0.9846, 1.0309], q:[0.5, 0.4691], qb:[0.5309, 0.5154], phi:[0.4961]] | [X:[], M:[[8], [-12], [-8], [4], [0], [-4], [8]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_1$, $ M_7$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_5M_6$, $ M_2M_7$, $ \phi_1^4$, $ M_5\phi_1^2$ | . | -2 | t^2.86 + t^2.95 + t^2.98 + t^3. + t^3.05 + 2*t^3.09 + t^4.3 + t^4.4 + t^4.44 + 2*t^4.49 + t^4.53 + 2*t^4.58 + t^4.63 + t^4.67 + t^5.72 + t^5.84 + t^5.93 + 2*t^5.95 + t^5.98 - 2*t^6. + t^6.02 + 2*t^6.07 + t^6.09 + t^6.14 + 2*t^6.19 + t^7.16 + 2*t^7.26 + t^7.28 + t^7.3 - t^7.33 + 2*t^7.35 + t^7.37 + 2*t^7.4 + 2*t^7.44 + t^7.47 + 2*t^7.49 - t^7.51 + 3*t^7.53 + t^7.56 + 4*t^7.58 - t^7.6 + 3*t^7.63 + 4*t^7.67 - t^7.7 + 2*t^7.72 + 2*t^7.77 + t^8.58 + t^8.61 + 2*t^8.7 + t^8.75 - t^8.77 + 2*t^8.79 + t^8.81 + t^8.84 - 3*t^8.86 + 3*t^8.88 - 2*t^8.91 + 4*t^8.93 - 3*t^8.95 + 2*t^8.98 - t^4.49/y - t^7.35/y + t^7.4/y - t^7.47/y + t^7.51/y - t^7.58/y + t^7.63/y + t^8.81/y + t^8.84/y + t^8.86/y + t^8.91/y + t^8.93/y + (3*t^8.95)/y + t^8.98/y - t^4.49*y - t^7.35*y + t^7.4*y - t^7.47*y + t^7.51*y - t^7.58*y + t^7.63*y + t^8.81*y + t^8.84*y + t^8.86*y + t^8.91*y + t^8.93*y + 3*t^8.95*y + t^8.98*y | t^2.86/g1^12 + t^2.95/g1^4 + t^2.98/g1^2 + t^3. + g1^4*t^3.05 + 2*g1^8*t^3.09 + t^4.3/g1^17 + t^4.4/g1^9 + t^4.44/g1^5 + (2*t^4.49)/g1 + g1^3*t^4.53 + 2*g1^7*t^4.58 + g1^11*t^4.63 + g1^15*t^4.67 + t^5.72/g1^24 + t^5.84/g1^14 + t^5.93/g1^6 + (2*t^5.95)/g1^4 + t^5.98/g1^2 - 2*t^6. + g1^2*t^6.02 + 2*g1^6*t^6.07 + g1^8*t^6.09 + g1^12*t^6.14 + 2*g1^16*t^6.19 + t^7.16/g1^29 + (2*t^7.26)/g1^21 + t^7.28/g1^19 + t^7.3/g1^17 - t^7.33/g1^15 + (2*t^7.35)/g1^13 + t^7.37/g1^11 + (2*t^7.4)/g1^9 + (2*t^7.44)/g1^5 + t^7.47/g1^3 + (2*t^7.49)/g1 - g1*t^7.51 + 3*g1^3*t^7.53 + g1^5*t^7.56 + 4*g1^7*t^7.58 - g1^9*t^7.6 + 3*g1^11*t^7.63 + 4*g1^15*t^7.67 - g1^17*t^7.7 + 2*g1^19*t^7.72 + 2*g1^23*t^7.77 + t^8.58/g1^36 + t^8.61/g1^34 + (2*t^8.7)/g1^26 + t^8.75/g1^22 - t^8.77/g1^20 + (2*t^8.79)/g1^18 + t^8.81/g1^16 + t^8.84/g1^14 - (3*t^8.86)/g1^12 + (3*t^8.88)/g1^10 - (2*t^8.91)/g1^8 + (4*t^8.93)/g1^6 - (3*t^8.95)/g1^4 + (2*t^8.98)/g1^2 - t^4.49/(g1*y) - t^7.35/(g1^13*y) + t^7.4/(g1^9*y) - t^7.47/(g1^3*y) + (g1*t^7.51)/y - (g1^7*t^7.58)/y + (g1^11*t^7.63)/y + t^8.81/(g1^16*y) + t^8.84/(g1^14*y) + t^8.86/(g1^12*y) + t^8.91/(g1^8*y) + t^8.93/(g1^6*y) + (3*t^8.95)/(g1^4*y) + t^8.98/(g1^2*y) - (t^4.49*y)/g1 - (t^7.35*y)/g1^13 + (t^7.4*y)/g1^9 - (t^7.47*y)/g1^3 + g1*t^7.51*y - g1^7*t^7.58*y + g1^11*t^7.63*y + (t^8.81*y)/g1^16 + (t^8.84*y)/g1^14 + (t^8.86*y)/g1^12 + (t^8.91*y)/g1^8 + (t^8.93*y)/g1^6 + (3*t^8.95*y)/g1^4 + (t^8.98*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 |
---|---|---|---|---|---|---|---|---|
4545 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ + $ M_3M_7$ + $ M_4M_8$ | 0.695 | 0.8522 | 0.8155 | [X:[], M:[1.0426, 0.9361, 0.9574, 1.0213, 1.0, 0.9787, 1.0426, 0.9787], q:[0.5, 0.4574], qb:[0.5426, 0.5213], phi:[0.4947]] | t^2.81 + 2*t^2.94 + t^2.97 + t^3. + 2*t^3.13 + t^4.23 + t^4.36 + t^4.42 + 2*t^4.48 + t^4.55 + 2*t^4.61 + t^4.68 + t^4.74 + t^5.62 + t^5.74 + t^5.78 + t^5.87 + 2*t^5.9 + 3*t^5.94 + t^5.97 - 3*t^6. - t^4.48/y - t^4.48*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 |
---|---|---|---|---|---|---|---|---|---|
1429 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ | 0.6972 | 0.8564 | 0.8141 | [X:[], M:[1.0538, 0.9194, 0.9462, 1.0269, 1.0, 0.9731], q:[0.5, 0.4462], qb:[0.5538, 0.5269], phi:[0.4933]] | t^2.76 + t^2.84 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.16 + t^4.16 + t^4.32 + t^4.4 + 2*t^4.48 + t^4.56 + 2*t^4.64 + t^4.72 + t^4.8 + t^5.52 + t^5.6 + t^5.68 + t^5.72 + t^5.76 + t^5.8 + t^5.84 + t^5.88 + 2*t^5.92 + t^5.96 - t^6. - t^4.48/y - t^4.48*y | detail |