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 |
---|---|---|---|---|---|---|---|---|---|
1039 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ | 0.6529 | 0.7983 | 0.8178 | [X:[], M:[1.1633, 1.1155, 0.9323, 1.0, 0.8367, 0.8367], q:[0.7789, 0.4522], qb:[0.3845, 0.6155], phi:[0.4422]] | [X:[], M:[[-3], [4], [-11], [0], [3], [3]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_6$, $ M_3$, $ M_4$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_6$, $ M_4M_5$, $ M_4M_6$, $ M_3^2$, $ M_2M_5$, $ M_2M_6$ | . | -2 | 2*t^2.51 + t^2.8 + t^3. + t^3.35 + t^3.63 + t^3.69 + t^3.84 + t^4.04 + t^4.18 + t^4.33 + t^4.53 + 4*t^5.02 + t^5.31 + t^5.51 + t^5.59 + 2*t^5.86 - 2*t^6. + 2*t^6.14 + t^6.2 + 2*t^6.35 + t^6.43 - t^6.49 + 2*t^6.55 + t^6.63 + 2*t^6.69 + t^6.84 + 3*t^7.04 + t^7.27 + t^7.39 + t^7.47 + 6*t^7.53 + t^7.67 + t^7.73 + t^7.82 + 2*t^7.88 + t^7.96 + t^8.02 + t^8.08 + t^8.1 + t^8.22 - t^8.31 + 4*t^8.37 + t^8.39 - 5*t^8.51 + t^8.57 + 3*t^8.65 + 2*t^8.71 - 2*t^8.8 + 2*t^8.86 + t^8.94 - t^4.33/y - t^6.84/y - t^7.12/y + t^7.53/y + t^7.82/y + t^8.02/y + (2*t^8.31)/y + (2*t^8.51)/y + t^8.8/y + (2*t^8.86)/y - t^4.33*y - t^6.84*y - t^7.12*y + t^7.53*y + t^7.82*y + t^8.02*y + 2*t^8.31*y + 2*t^8.51*y + t^8.8*y + 2*t^8.86*y | 2*g1^3*t^2.51 + t^2.8/g1^11 + t^3. + g1^4*t^3.35 + t^3.63/g1^10 + g1^8*t^3.69 + g1*t^3.84 + g1^12*t^4.04 + g1^5*t^4.18 + t^4.33/g1^2 + g1^9*t^4.53 + 4*g1^6*t^5.02 + t^5.31/g1^8 + g1^3*t^5.51 + t^5.59/g1^22 + 2*g1^7*t^5.86 - 2*t^6. + (2*t^6.14)/g1^7 + g1^11*t^6.2 + 2*g1^4*t^6.35 + t^6.43/g1^21 - t^6.49/g1^3 + 2*g1^15*t^6.55 + t^6.63/g1^10 + 2*g1^8*t^6.69 + g1*t^6.84 + 3*g1^12*t^7.04 + t^7.27/g1^20 + g1^16*t^7.39 + t^7.47/g1^9 + 6*g1^9*t^7.53 + g1^2*t^7.67 + g1^20*t^7.73 + t^7.82/g1^5 + 2*g1^13*t^7.88 + t^7.96/g1^12 + g1^6*t^8.02 + g1^24*t^8.08 + t^8.1/g1^19 + g1^17*t^8.22 - t^8.31/g1^8 + 4*g1^10*t^8.37 + t^8.39/g1^33 - 5*g1^3*t^8.51 + g1^21*t^8.57 + (3*t^8.65)/g1^4 + 2*g1^14*t^8.71 - (2*t^8.8)/g1^11 + 2*g1^7*t^8.86 + t^8.94/g1^18 - t^4.33/(g1^2*y) - (g1*t^6.84)/y - t^7.12/(g1^13*y) + (g1^9*t^7.53)/y + t^7.82/(g1^5*y) + (g1^6*t^8.02)/y + (2*t^8.31)/(g1^8*y) + (2*g1^3*t^8.51)/y + t^8.8/(g1^11*y) + (2*g1^7*t^8.86)/y - (t^4.33*y)/g1^2 - g1*t^6.84*y - (t^7.12*y)/g1^13 + g1^9*t^7.53*y + (t^7.82*y)/g1^5 + g1^6*t^8.02*y + (2*t^8.31*y)/g1^8 + 2*g1^3*t^8.51*y + (t^8.8*y)/g1^11 + 2*g1^7*t^8.86*y |
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 |
---|---|---|---|---|---|---|---|---|
1622 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6708 | 0.8321 | 0.8061 | [X:[], M:[1.1715, 1.1047, 0.9622, 1.0, 0.8285, 0.8285, 0.7617], q:[0.7762, 0.4332], qb:[0.3953, 0.6047], phi:[0.4477]] | t^2.28 + 2*t^2.49 + t^2.89 + t^3. + t^3.31 + t^3.63 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.46 + t^4.57 + 2*t^4.77 + 4*t^4.97 + t^5.17 + t^5.28 + t^5.37 + t^5.49 + t^5.6 + t^5.77 + 2*t^5.8 + t^5.91 - 2*t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
651 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6389 | 0.7739 | 0.8256 | [X:[], M:[1.1595, 1.1206, 0.9183, 1.0, 0.8405], q:[0.7802, 0.4611], qb:[0.3794, 0.6206], phi:[0.4397]] | t^2.52 + t^2.75 + t^3. + t^3.36 + t^3.48 + t^3.6 + t^3.72 + t^3.84 + t^4.09 + t^4.2 + t^4.32 + t^4.56 + 2*t^5.04 + t^5.51 + t^5.88 - t^6. - t^4.32/y - t^4.32*y | detail |