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 |
---|---|---|---|---|---|---|---|---|---|
3441 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.6773 | 0.8619 | 0.7858 | [X:[1.48], M:[0.8686, 1.2171, 0.52, 0.7829, 0.8686, 0.6971, 0.7829], q:[0.3486, 0.7829], qb:[0.4343, 0.6971], phi:[0.4343]] | [X:[[7]], M:[[-4], [-1], [-7], [1], [-4], [6], [1]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_4$, $ M_7$, $ M_1$, $ M_5$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_4M_6$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ M_1M_6$, $ M_5M_6$, $ M_4M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_6q_1\tilde{q}_2$, $ M_6\phi_1q_1^2$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$ | $M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_7\phi_1q_1\tilde{q}_1$ | 1 | t^2.09 + 2*t^2.35 + 3*t^2.61 + t^3.14 + t^3.39 + t^3.65 + t^4.18 + 4*t^4.44 + 7*t^4.7 + 5*t^4.95 + 5*t^5.21 + t^5.23 + 4*t^5.49 + 5*t^5.74 + t^6. - t^6.26 + 2*t^6.27 - t^6.51 + 5*t^6.53 + 9*t^6.79 + 11*t^7.05 + 10*t^7.3 + t^7.32 + 6*t^7.56 + 6*t^7.58 + 8*t^7.82 + 10*t^7.83 + 7*t^8.09 - 2*t^8.35 + 2*t^8.37 - 8*t^8.61 + 8*t^8.62 - 6*t^8.86 + 14*t^8.88 - t^4.3/y - t^6.39/y - t^6.65/y - (3*t^6.91)/y + (2*t^7.44)/y + (7*t^7.7)/y + (7*t^7.95)/y + (4*t^8.21)/y + t^8.23/y + (2*t^8.49)/y + (5*t^8.74)/y - t^4.3*y - t^6.39*y - t^6.65*y - 3*t^6.91*y + 2*t^7.44*y + 7*t^7.7*y + 7*t^7.95*y + 4*t^8.21*y + t^8.23*y + 2*t^8.49*y + 5*t^8.74*y | g1^6*t^2.09 + 2*g1*t^2.35 + (3*t^2.61)/g1^4 + g1^9*t^3.14 + g1^4*t^3.39 + t^3.65/g1 + g1^12*t^4.18 + 4*g1^7*t^4.44 + 7*g1^2*t^4.7 + (5*t^4.95)/g1^3 + (5*t^5.21)/g1^8 + g1^15*t^5.23 + 4*g1^10*t^5.49 + 5*g1^5*t^5.74 + t^6. - t^6.26/g1^5 + 2*g1^18*t^6.27 - t^6.51/g1^10 + 5*g1^13*t^6.53 + 9*g1^8*t^6.79 + 11*g1^3*t^7.05 + (10*t^7.3)/g1^2 + g1^21*t^7.32 + (6*t^7.56)/g1^7 + 6*g1^16*t^7.58 + (8*t^7.82)/g1^12 + 10*g1^11*t^7.83 + 7*g1^6*t^8.09 - 2*g1*t^8.35 + 2*g1^24*t^8.37 - (8*t^8.61)/g1^4 + 8*g1^19*t^8.62 - (6*t^8.86)/g1^9 + 14*g1^14*t^8.88 - t^4.3/(g1^2*y) - (g1^4*t^6.39)/y - t^6.65/(g1*y) - (3*t^6.91)/(g1^6*y) + (2*g1^7*t^7.44)/y + (7*g1^2*t^7.7)/y + (7*t^7.95)/(g1^3*y) + (4*t^8.21)/(g1^8*y) + (g1^15*t^8.23)/y + (2*g1^10*t^8.49)/y + (5*g1^5*t^8.74)/y - (t^4.3*y)/g1^2 - g1^4*t^6.39*y - (t^6.65*y)/g1 - (3*t^6.91*y)/g1^6 + 2*g1^7*t^7.44*y + 7*g1^2*t^7.7*y + (7*t^7.95*y)/g1^3 + (4*t^8.21*y)/g1^8 + g1^15*t^8.23*y + 2*g1^10*t^8.49*y + 5*g1^5*t^8.74*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 |
---|---|---|---|---|---|---|---|---|
5121 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6948 | 0.8933 | 0.7777 | [X:[1.4763], M:[0.8707, 1.2177, 0.5237, 0.7823, 0.8707, 0.694, 0.7823, 0.7823], q:[0.347, 0.7823], qb:[0.4353, 0.694], phi:[0.4353]] | t^2.08 + 3*t^2.35 + 3*t^2.61 + t^3.12 + t^3.39 + t^4.16 + 5*t^4.43 + 10*t^4.69 + 8*t^4.96 + t^5.21 + 5*t^5.22 + 5*t^5.47 + 5*t^5.74 - t^6. - t^4.31/y - t^4.31*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 |
---|---|---|---|---|---|---|---|---|---|
2877 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6598 | 0.8306 | 0.7944 | [X:[1.4837], M:[0.8664, 1.2166, 0.5163, 0.7834, 0.8664, 0.7003], q:[0.3502, 0.7834], qb:[0.4332, 0.7003], phi:[0.4332]] | t^2.1 + t^2.35 + 3*t^2.6 + t^3.15 + t^3.4 + 2*t^3.65 + t^4.2 + 3*t^4.45 + 5*t^4.7 + 2*t^4.95 + 5*t^5.2 + t^5.25 + 3*t^5.5 + 5*t^5.75 + t^6. - t^4.3/y - t^4.3*y | detail |