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 |
---|---|---|---|---|---|---|---|---|---|
974 | 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\phi_1^2$ + $ M_1M_4$ + $ M_5M_6$ | 0.7089 | 0.8701 | 0.8148 | [X:[], M:[1.0, 0.8961, 0.8961, 1.0, 1.052, 0.948], q:[0.5779, 0.4221], qb:[0.526, 0.5779], phi:[0.474]] | [X:[], M:[[-3, 1], [-1, -1], [-7, 1], [3, -1], [2, 0], [-2, 0]], q:[[6, -1], [-3, 0]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_4$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_2^2$, $ M_3^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_2M_4$, $ M_1M_3$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_1M_6$, $ M_1\phi_1^2$ | $M_1^2$, $ M_4^2$ | -3 | 2*t^2.69 + 2*t^2.84 + 2*t^3. + t^3.47 + t^3.95 + t^4.27 + 2*t^4.42 + t^4.58 + 2*t^4.73 + 3*t^4.89 + 3*t^5.38 + 2*t^5.53 + 6*t^5.69 + 2*t^5.84 - 3*t^6. + 2*t^6.64 + 2*t^6.8 + t^6.94 + 2*t^6.95 + 4*t^7.11 + 4*t^7.27 + 4*t^7.42 + 6*t^7.58 + 4*t^7.73 + 2*t^7.89 + t^7.91 - 3*t^8.05 + 4*t^8.06 + 3*t^8.22 + 3*t^8.36 + 8*t^8.38 + 6*t^8.53 - 2*t^8.69 - 3*t^8.84 - t^4.42/y - (2*t^7.11)/y - t^7.27/y + t^7.58/y + (2*t^7.73)/y + t^8.38/y + (4*t^8.53)/y + (5*t^8.69)/y + (4*t^8.84)/y - t^4.42*y - 2*t^7.11*y - t^7.27*y + t^7.58*y + 2*t^7.73*y + t^8.38*y + 4*t^8.53*y + 5*t^8.69*y + 4*t^8.84*y | t^2.69/(g1*g2) + (g2*t^2.69)/g1^7 + (2*t^2.84)/g1^2 + (g1^3*t^3.)/g2 + (g2*t^3.)/g1^3 + g1^6*t^3.47 + t^3.95/g1^7 + t^4.27/g1^3 + (g1^2*t^4.42)/g2 + (g2*t^4.42)/g1^4 + g1*t^4.58 + (g1^6*t^4.73)/g2 + g2*t^4.73 + g1^5*t^4.89 + (g1^11*t^4.89)/g2^2 + (g2^2*t^4.89)/g1 + t^5.38/g1^8 + t^5.38/(g1^2*g2^2) + (g2^2*t^5.38)/g1^14 + t^5.53/(g1^3*g2) + (g2*t^5.53)/g1^9 + (4*t^5.69)/g1^4 + (g1^2*t^5.69)/g2^2 + (g2^2*t^5.69)/g1^10 + (g1*t^5.84)/g2 + (g2*t^5.84)/g1^5 - 3*t^6. + t^6.64/(g1^8*g2) + (g2*t^6.64)/g1^14 + (2*t^6.8)/g1^9 + g1^12*t^6.94 + t^6.95/(g1^4*g2) + (g2*t^6.95)/g1^10 + (2*t^7.11)/g1^5 + (g1*t^7.11)/g2^2 + (g2^2*t^7.11)/g1^11 + (2*t^7.27)/g2 + (2*g2*t^7.27)/g1^6 + (2*t^7.42)/g1 + (g1^5*t^7.42)/g2^2 + (g2^2*t^7.42)/g1^7 + (g1^10*t^7.58)/g2^3 + (2*g1^4*t^7.58)/g2 + (2*g2*t^7.58)/g1^2 + (g2^3*t^7.58)/g1^8 + (2*g1^9*t^7.73)/g2^2 + (2*g2^2*t^7.73)/g1^3 + (g1^14*t^7.89)/g2^3 + (g2^3*t^7.89)/g1^4 + t^7.91/g1^14 - g1^7*t^8.05 - (g1^13*t^8.05)/g2^2 - g1*g2^2*t^8.05 + t^8.06/(g1^3*g2^3) + t^8.06/(g1^9*g2) + (g2*t^8.06)/g1^15 + (g2^3*t^8.06)/g1^21 + t^8.22/g1^10 + t^8.22/(g1^4*g2^2) + (g2^2*t^8.22)/g1^16 + g1^11*t^8.36 + (g1^17*t^8.36)/g2^2 + g1^5*g2^2*t^8.36 + (g1*t^8.38)/g2^3 + (3*t^8.38)/(g1^5*g2) + (3*g2*t^8.38)/g1^11 + (g2^3*t^8.38)/g1^17 + (4*t^8.53)/g1^6 + t^8.53/g2^2 + (g2^2*t^8.53)/g1^12 - t^8.69/(g1*g2) - (g2*t^8.69)/g1^7 - (5*t^8.84)/g1^2 + (g1^4*t^8.84)/g2^2 + (g2^2*t^8.84)/g1^8 - t^4.42/(g1*y) - t^7.11/(g1^2*g2*y) - (g2*t^7.11)/(g1^8*y) - t^7.27/(g1^3*y) + (g1*t^7.58)/y + (g1^6*t^7.73)/(g2*y) + (g2*t^7.73)/y + t^8.38/(g1^8*y) + (2*t^8.53)/(g1^3*g2*y) + (2*g2*t^8.53)/(g1^9*y) + (3*t^8.69)/(g1^4*y) + (g1^2*t^8.69)/(g2^2*y) + (g2^2*t^8.69)/(g1^10*y) + (2*g1*t^8.84)/(g2*y) + (2*g2*t^8.84)/(g1^5*y) - (t^4.42*y)/g1 - (t^7.11*y)/(g1^2*g2) - (g2*t^7.11*y)/g1^8 - (t^7.27*y)/g1^3 + g1*t^7.58*y + (g1^6*t^7.73*y)/g2 + g2*t^7.73*y + (t^8.38*y)/g1^8 + (2*t^8.53*y)/(g1^3*g2) + (2*g2*t^8.53*y)/g1^9 + (3*t^8.69*y)/g1^4 + (g1^2*t^8.69*y)/g2^2 + (g2^2*t^8.69*y)/g1^10 + (2*g1*t^8.84*y)/g2 + (2*g2*t^8.84*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
1511 | $M_1q_1q_2$ + $ 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\phi_1^2$ + $ M_1M_4$ + $ M_5M_6$ + $ M_7\phi_1q_2^2$ | 0.7297 | 0.9109 | 0.8011 | [X:[], M:[1.0, 0.899, 0.899, 1.0, 1.0505, 0.9495, 0.6767], q:[0.5757, 0.4243], qb:[0.5252, 0.5757], phi:[0.4748]] | t^2.03 + 2*t^2.7 + 2*t^2.85 + 2*t^3. + t^3.45 + t^4.06 + t^4.27 + 2*t^4.42 + t^4.58 + 4*t^4.73 + 5*t^4.88 + 2*t^5.03 + 3*t^5.39 + t^5.48 + 2*t^5.55 + 6*t^5.7 + 2*t^5.85 - 3*t^6. - t^4.42/y - t^4.42*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 |
---|---|---|---|---|---|---|---|---|---|
604 | 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\phi_1^2$ + $ M_1M_4$ | 0.7044 | 0.8621 | 0.8171 | [X:[], M:[1.0, 0.91, 0.91, 1.0, 1.045], q:[0.5675, 0.4325], qb:[0.5225, 0.5675], phi:[0.4775]] | 2*t^2.73 + t^2.87 + 2*t^3. + t^3.13 + t^3.4 + t^4.03 + t^4.3 + 2*t^4.43 + t^4.57 + 2*t^4.7 + 3*t^4.84 + 3*t^5.46 + 4*t^5.73 + 2*t^5.87 - 2*t^6. - t^4.43/y - t^4.43*y | detail |