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 |
---|---|---|---|---|---|---|---|---|---|
4329 | 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_3M_7$ | 0.6926 | 0.8483 | 0.8165 | [X:[], M:[0.9751, 1.0062, 1.0125, 1.0249, 0.9626, 1.0, 0.9875, 1.0249], q:[0.5, 0.5249], qb:[0.4751, 0.5125], phi:[0.4969]] | [X:[], M:[[-8], [2], [4], [8], [-12], [0], [-4], [8]], q:[[0], [8]], qb:[[-8], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_7$, $ M_6$, $ M_2$, $ M_3$, $ M_4$, $ M_8$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_2M_5$, $ M_4M_5$, $ M_6M_7$, $ M_5M_8$, $ M_2M_7$ | . | -2 | t^2.89 + t^2.96 + t^3. + t^3.02 + t^3.04 + 2*t^3.07 + t^4.34 + t^4.42 + t^4.45 + 2*t^4.49 + t^4.53 + 2*t^4.57 + t^4.6 + t^4.64 + t^5.78 + t^5.91 + t^5.96 + t^5.98 - 2*t^6. + t^6.02 + t^6.04 + t^6.06 + t^6.07 + 2*t^6.09 + t^6.11 + 2*t^6.15 + t^7.23 + 2*t^7.3 + t^7.34 + 2*t^7.38 + 2*t^7.42 + 2*t^7.45 + 2*t^7.49 + 3*t^7.53 + 4*t^7.57 + 3*t^7.6 + 4*t^7.64 + 2*t^7.68 + 2*t^7.71 + t^8.66 + t^8.68 + t^8.76 + 2*t^8.79 - t^8.81 + 2*t^8.83 + t^8.87 - 3*t^8.89 + 3*t^8.91 - 2*t^8.93 + 2*t^8.94 - 4*t^8.96 + 5*t^8.98 - t^4.49/y - t^7.38/y + t^7.42/y - t^7.57/y + t^7.6/y + t^8.85/y + t^8.89/y + t^8.91/y + t^8.93/y + (3*t^8.96)/y + t^8.98/y - t^4.49*y - t^7.38*y + t^7.42*y - t^7.57*y + t^7.6*y + t^8.85*y + t^8.89*y + t^8.91*y + t^8.93*y + 3*t^8.96*y + t^8.98*y | t^2.89/g1^12 + t^2.96/g1^4 + t^3. + g1^2*t^3.02 + g1^4*t^3.04 + 2*g1^8*t^3.07 + t^4.34/g1^17 + t^4.42/g1^9 + t^4.45/g1^5 + (2*t^4.49)/g1 + g1^3*t^4.53 + 2*g1^7*t^4.57 + g1^11*t^4.6 + g1^15*t^4.64 + t^5.78/g1^24 + t^5.91/g1^10 + t^5.96/g1^4 + t^5.98/g1^2 - 2*t^6. + g1^2*t^6.02 + g1^4*t^6.04 + g1^6*t^6.06 + g1^8*t^6.07 + 2*g1^10*t^6.09 + g1^12*t^6.11 + 2*g1^16*t^6.15 + t^7.23/g1^29 + (2*t^7.3)/g1^21 + t^7.34/g1^17 + (2*t^7.38)/g1^13 + (2*t^7.42)/g1^9 + (2*t^7.45)/g1^5 + (2*t^7.49)/g1 + 3*g1^3*t^7.53 + 4*g1^7*t^7.57 + 3*g1^11*t^7.6 + 4*g1^15*t^7.64 + 2*g1^19*t^7.68 + 2*g1^23*t^7.71 + t^8.66/g1^36 + t^8.68/g1^34 + t^8.76/g1^26 + (2*t^8.79)/g1^22 - t^8.81/g1^20 + (2*t^8.83)/g1^18 + t^8.87/g1^14 - (3*t^8.89)/g1^12 + (3*t^8.91)/g1^10 - (2*t^8.93)/g1^8 + (2*t^8.94)/g1^6 - (4*t^8.96)/g1^4 + (5*t^8.98)/g1^2 - t^4.49/(g1*y) - t^7.38/(g1^13*y) + t^7.42/(g1^9*y) - (g1^7*t^7.57)/y + (g1^11*t^7.6)/y + t^8.85/(g1^16*y) + t^8.89/(g1^12*y) + t^8.91/(g1^10*y) + t^8.93/(g1^8*y) + (3*t^8.96)/(g1^4*y) + t^8.98/(g1^2*y) - (t^4.49*y)/g1 - (t^7.38*y)/g1^13 + (t^7.42*y)/g1^9 - g1^7*t^7.57*y + g1^11*t^7.6*y + (t^8.85*y)/g1^16 + (t^8.89*y)/g1^12 + (t^8.91*y)/g1^10 + (t^8.93*y)/g1^8 + (3*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
5773 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_3M_7$ + $ M_3M_9$ | 0.6941 | 0.8506 | 0.816 | [X:[], M:[0.9632, 1.0092, 1.0184, 1.0368, 0.9449, 1.0, 0.9816, 1.0368, 0.9816], q:[0.5, 0.5368], qb:[0.4632, 0.5184], phi:[0.4954]] | t^2.83 + 2*t^2.94 + t^3. + t^3.03 + 2*t^3.11 + t^4.27 + t^4.38 + t^4.43 + 2*t^4.49 + t^4.54 + 2*t^4.6 + t^4.65 + t^4.71 + t^5.67 + t^5.78 + t^5.86 + t^5.89 + 2*t^5.94 + 2*t^5.97 - 3*t^6. - t^4.49/y - t^4.49*y | detail | |
5774 | $M_1q_1q_2$ + $ 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ + $ M_3M_7$ + $ M_4M_9$ | 0.696 | 0.8542 | 0.8149 | [X:[], M:[0.9519, 1.012, 1.024, 1.0481, 0.9279, 1.0, 0.976, 1.0481, 0.9519], q:[0.5, 0.5481], qb:[0.4519, 0.524], phi:[0.494]] | t^2.78 + t^2.86 + t^2.93 + t^3. + t^3.04 + t^3.07 + t^3.14 + t^4.19 + t^4.34 + t^4.41 + 2*t^4.48 + t^4.55 + 2*t^4.63 + t^4.7 + t^4.77 + t^5.57 + t^5.64 + t^5.71 + t^5.78 + t^5.82 + t^5.86 + t^5.89 + t^5.93 + t^5.96 - 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 |
---|---|---|---|---|---|---|---|---|---|
2343 | 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_6^2$ + $ M_1M_4$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_8$ | 0.7298 | 0.9024 | 0.8087 | [X:[], M:[1.0232, 1.0953, 0.7862, 0.9768, 0.8327, 1.0, 0.8094, 0.9768], q:[0.5, 0.4768], qb:[0.5232, 0.6906], phi:[0.4524]] | t^2.36 + t^2.43 + t^2.5 + 2*t^2.93 + t^3. + t^3.29 + t^4.22 + t^4.29 + 2*t^4.36 + t^4.43 + t^4.5 + t^4.72 + t^4.79 + 3*t^4.86 + 2*t^4.93 + 2*t^5. + 2*t^5.29 + 2*t^5.36 + 2*t^5.43 + t^5.5 + t^5.64 + t^5.71 + t^5.78 + 2*t^5.86 - 3*t^6. - t^4.36/y - t^4.36*y | detail |