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 |
---|---|---|---|---|---|---|---|---|---|
722 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6916 | 0.8434 | 0.82 | [M:[1.0179, 1.0, 0.9821, 0.9821, 0.7321], q:[0.7857, 0.4821], qb:[0.5, 0.5179], phi:[0.4286]] | [M:[[1], [0], [-1], [-1], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 30363/43904, c: 37027/43904, M1: 57/56, M2: 1, M3: 55/56, M4: 55/56, M5: 41/56, q1: 11/14, q2: 27/56, qb1: 1/2, qb2: 29/56, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$ | ${}$ | -2 | t^2.196 + t^2.571 + 2*t^2.946 + t^3. + t^3.857 + t^3.911 + t^4.179 + t^4.232 + 2*t^4.286 + t^4.339 + 2*t^4.393 + t^4.768 + 3*t^5.143 + t^5.196 + 2*t^5.518 + t^5.571 + 2*t^5.893 - 2*t^6. - t^6.054 + t^6.429 + 2*t^6.482 + t^6.536 + 2*t^6.589 + t^6.75 + 2*t^6.804 + 3*t^6.857 + t^6.911 + 2*t^6.964 + 2*t^7.125 + 2*t^7.179 + 2*t^7.232 + t^7.286 + 3*t^7.339 + t^7.393 - t^7.607 - t^7.661 + 2*t^7.714 + t^7.768 + 4*t^8.089 + 2*t^8.143 - t^8.196 + t^8.304 + t^8.357 + t^8.411 + 4*t^8.464 + t^8.518 + 3*t^8.679 + 2*t^8.732 + 3*t^8.786 + 2*t^8.839 - t^8.893 - 5*t^8.946 - t^4.286/y - t^6.482/y - t^6.857/y - t^7.232/y + t^7.339/y + t^7.714/y + t^7.768/y + t^8.089/y + (2*t^8.143)/y + t^8.196/y + (2*t^8.518)/y + t^8.571/y - t^8.679/y + t^8.893/y + (2*t^8.946)/y - t^4.286*y - t^6.482*y - t^6.857*y - t^7.232*y + t^7.339*y + t^7.714*y + t^7.768*y + t^8.089*y + 2*t^8.143*y + t^8.196*y + 2*t^8.518*y + t^8.571*y - t^8.679*y + t^8.893*y + 2*t^8.946*y | g1*t^2.196 + t^2.571 + (2*t^2.946)/g1 + t^3. + t^3.857 + g1*t^3.911 + t^4.179/g1^2 + t^4.232/g1 + 2*t^4.286 + g1*t^4.339 + 2*g1^2*t^4.393 + g1*t^4.768 + 3*t^5.143 + g1*t^5.196 + (2*t^5.518)/g1 + t^5.571 + (2*t^5.893)/g1^2 - 2*t^6. - g1*t^6.054 + t^6.429 + 2*g1*t^6.482 + g1^2*t^6.536 + 2*g1^3*t^6.589 + t^6.75/g1^2 + (2*t^6.804)/g1 + 3*t^6.857 + g1*t^6.911 + 2*g1^2*t^6.964 + (2*t^7.125)/g1^3 + (2*t^7.179)/g1^2 + (2*t^7.232)/g1 + t^7.286 + 3*g1*t^7.339 + g1^2*t^7.393 - t^7.607/g1^2 - t^7.661/g1 + 2*t^7.714 + g1*t^7.768 + (4*t^8.089)/g1 + 2*t^8.143 - g1*t^8.196 + g1^3*t^8.304 + t^8.357/g1^4 + t^8.411/g1^3 + (4*t^8.464)/g1^2 + t^8.518/g1 + 3*g1^2*t^8.679 + 2*g1^3*t^8.732 + 3*g1^4*t^8.786 + (2*t^8.839)/g1^3 - t^8.893/g1^2 - (5*t^8.946)/g1 - t^4.286/y - (g1*t^6.482)/y - t^6.857/y - t^7.232/(g1*y) + (g1*t^7.339)/y + t^7.714/y + (g1*t^7.768)/y + t^8.089/(g1*y) + (2*t^8.143)/y + (g1*t^8.196)/y + (2*t^8.518)/(g1*y) + t^8.571/y - (g1^2*t^8.679)/y + t^8.893/(g1^2*y) + (2*t^8.946)/(g1*y) - t^4.286*y - g1*t^6.482*y - t^6.857*y - (t^7.232*y)/g1 + g1*t^7.339*y + t^7.714*y + g1*t^7.768*y + (t^8.089*y)/g1 + 2*t^8.143*y + g1*t^8.196*y + (2*t^8.518*y)/g1 + t^8.571*y - g1^2*t^8.679*y + (t^8.893*y)/g1^2 + (2*t^8.946*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
1188 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.7118 | 0.8814 | 0.8075 | [M:[1.0179, 1.0, 0.9821, 0.9821, 0.7321, 0.7143], q:[0.7857, 0.4821], qb:[0.5, 0.5179], phi:[0.4286]] | t^2.143 + t^2.196 + t^2.571 + 2*t^2.946 + t^3. + t^3.911 + t^4.179 + t^4.232 + 3*t^4.286 + 2*t^4.339 + 2*t^4.393 + t^4.714 + t^4.768 + 2*t^5.089 + 4*t^5.143 + t^5.196 + 2*t^5.518 + t^5.571 + 2*t^5.893 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 31251/43904, c: 38699/43904, M1: 57/56, M2: 1, M3: 55/56, M4: 55/56, M5: 41/56, M6: 5/7, q1: 11/14, q2: 27/56, qb1: 1/2, qb2: 29/56, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
433 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.672 | 0.8077 | 0.832 | [M:[1.0276, 1.0, 0.9724, 0.9724], q:[0.7857, 0.4724], qb:[0.5, 0.5276], phi:[0.4286]] | t^2.571 + 2*t^2.917 + t^3. + t^3.774 + t^3.857 + t^3.94 + t^4.12 + t^4.203 + 2*t^4.286 + t^4.368 + t^4.451 + t^5.143 + 2*t^5.489 + t^5.571 + 2*t^5.834 - 2*t^6. - t^4.286/y - t^4.286*y | detail |