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 |
---|---|---|---|---|---|---|---|---|---|
3665 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6097 | 0.7822 | 0.7795 | [X:[], M:[1.0, 1.0379, 0.9243, 0.7216, 1.2784, 0.6837], q:[0.7595, 0.2405], qb:[0.5189, 0.5568], phi:[0.4811]] | [X:[], M:[[0], [4], [-8], [-3], [3], [-7]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_6$, $ M_6\phi_1q_2^2$, $ M_1M_6$, $ M_2M_6$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2^4$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_2M_3$, $ M_5M_6$, $ M_6\phi_1q_2\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1^2$ | -1 | t^2.05 + t^2.28 + t^2.39 + t^2.77 + t^2.89 + t^3. + t^3.11 + t^3.72 + 2*t^3.84 + t^4.1 + t^4.33 + t^4.44 + 2*t^4.56 + 2*t^4.67 + 2*t^4.78 + t^4.82 + t^4.94 + t^5.05 + 2*t^5.16 + 2*t^5.28 + 2*t^5.39 + t^5.51 + t^5.55 + t^5.66 + 3*t^5.77 + 2*t^5.89 - t^6. + 2*t^6.11 + t^6.15 + 2*t^6.23 + t^6.38 + t^6.49 + 3*t^6.61 + 2*t^6.72 + 3*t^6.84 + t^6.88 + 2*t^6.95 + t^6.99 + 2*t^7.06 + t^7.1 + 2*t^7.18 + 2*t^7.22 + 2*t^7.33 + 2*t^7.44 + 3*t^7.56 + t^7.6 + 5*t^7.67 + t^7.71 + 2*t^7.78 + 3*t^7.82 + t^7.9 + 2*t^7.94 + 2*t^8.16 + t^8.2 + t^8.32 + 2*t^8.43 + 2*t^8.51 + 3*t^8.55 + 3*t^8.62 + 5*t^8.66 + t^8.93 - t^4.44/y - t^6.49/y - t^7.22/y + t^7.33/y + t^7.44/y + (2*t^7.67)/y + t^7.82/y + t^7.94/y + (2*t^8.05)/y + (3*t^8.16)/y + (2*t^8.28)/y + (3*t^8.39)/y + t^8.51/y - t^8.55/y + t^8.66/y + (2*t^8.77)/y + (4*t^8.89)/y - t^4.44*y - t^6.49*y - t^7.22*y + t^7.33*y + t^7.44*y + 2*t^7.67*y + t^7.82*y + t^7.94*y + 2*t^8.05*y + 3*t^8.16*y + 2*t^8.28*y + 3*t^8.39*y + t^8.51*y - t^8.55*y + t^8.66*y + 2*t^8.77*y + 4*t^8.89*y | t^2.05/g1^7 + g1*t^2.28 + g1^5*t^2.39 + t^2.77/g1^8 + t^2.89/g1^4 + t^3. + g1^4*t^3.11 + t^3.72/g1 + 2*g1^3*t^3.84 + t^4.1/g1^14 + t^4.33/g1^6 + t^4.44/g1^2 + 2*g1^2*t^4.56 + 2*g1^6*t^4.67 + 2*g1^10*t^4.78 + t^4.82/g1^15 + t^4.94/g1^11 + t^5.05/g1^7 + (2*t^5.16)/g1^3 + 2*g1*t^5.28 + 2*g1^5*t^5.39 + g1^9*t^5.51 + t^5.55/g1^16 + t^5.66/g1^12 + (3*t^5.77)/g1^8 + (2*t^5.89)/g1^4 - t^6. + 2*g1^4*t^6.11 + t^6.15/g1^21 + 2*g1^8*t^6.23 + t^6.38/g1^13 + t^6.49/g1^9 + (3*t^6.61)/g1^5 + (2*t^6.72)/g1 + 3*g1^3*t^6.84 + t^6.88/g1^22 + 2*g1^7*t^6.95 + t^6.99/g1^18 + 2*g1^11*t^7.06 + t^7.1/g1^14 + 2*g1^15*t^7.18 + (2*t^7.22)/g1^10 + (2*t^7.33)/g1^6 + (2*t^7.44)/g1^2 + 3*g1^2*t^7.56 + t^7.6/g1^23 + 5*g1^6*t^7.67 + t^7.71/g1^19 + 2*g1^10*t^7.78 + (3*t^7.82)/g1^15 + g1^14*t^7.9 + (2*t^7.94)/g1^11 + (2*t^8.16)/g1^3 + t^8.2/g1^28 + t^8.32/g1^24 + (2*t^8.43)/g1^20 + 2*g1^9*t^8.51 + (3*t^8.55)/g1^16 + 3*g1^13*t^8.62 + (5*t^8.66)/g1^12 + t^8.93/g1^29 - t^4.44/(g1^2*y) - t^6.49/(g1^9*y) - t^7.22/(g1^10*y) + t^7.33/(g1^6*y) + t^7.44/(g1^2*y) + (2*g1^6*t^7.67)/y + t^7.82/(g1^15*y) + t^7.94/(g1^11*y) + (2*t^8.05)/(g1^7*y) + (3*t^8.16)/(g1^3*y) + (2*g1*t^8.28)/y + (3*g1^5*t^8.39)/y + (g1^9*t^8.51)/y - t^8.55/(g1^16*y) + t^8.66/(g1^12*y) + (2*t^8.77)/(g1^8*y) + (4*t^8.89)/(g1^4*y) - (t^4.44*y)/g1^2 - (t^6.49*y)/g1^9 - (t^7.22*y)/g1^10 + (t^7.33*y)/g1^6 + (t^7.44*y)/g1^2 + 2*g1^6*t^7.67*y + (t^7.82*y)/g1^15 + (t^7.94*y)/g1^11 + (2*t^8.05*y)/g1^7 + (3*t^8.16*y)/g1^3 + 2*g1*t^8.28*y + 3*g1^5*t^8.39*y + g1^9*t^8.51*y - (t^8.55*y)/g1^16 + (t^8.66*y)/g1^12 + (2*t^8.77*y)/g1^8 + (4*t^8.89*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
3935 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ | 0.6053 | 0.7761 | 0.7799 | [X:[], M:[1.0, 1.0095, 0.981, 0.7429, 1.2571, 0.7334, 1.019], q:[0.7524, 0.2476], qb:[0.5047, 0.5142], phi:[0.4953]] | t^2.2 + t^2.26 + t^2.29 + t^2.97 + t^3. + t^3.03 + t^3.06 + t^3.74 + 2*t^3.77 + t^4.4 + t^4.46 + t^4.49 + 2*t^4.51 + 2*t^4.54 + 2*t^4.57 + t^5.17 + t^5.23 + 3*t^5.26 + 2*t^5.29 + 2*t^5.31 + t^5.34 + 2*t^5.94 + t^5.97 - t^6. - t^4.49/y - t^4.49*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 |
---|---|---|---|---|---|---|---|---|---|
3244 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4M_5$ | 0.589 | 0.742 | 0.7938 | [X:[], M:[1.0, 1.0346, 0.9307, 0.724, 1.276], q:[0.7587, 0.2413], qb:[0.5173, 0.552], phi:[0.4827]] | t^2.28 + t^2.38 + t^2.79 + t^2.9 + t^3. + t^3.1 + t^3.72 + 2*t^3.83 + t^3.93 + 2*t^4.55 + 2*t^4.66 + 2*t^4.76 + t^5.17 + 2*t^5.28 + 2*t^5.38 + t^5.48 + t^5.58 + t^5.69 + 2*t^5.79 - t^6. - t^4.45/y - t^4.45*y | detail |