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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[1], [0], [-1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$ | ${}$ | -2 | t^2.571 + 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. - 2*t^6.083 - t^6.166 + 3*t^6.692 + 3*t^6.774 + 3*t^6.857 + t^6.94 + t^7.023 + 2*t^7.037 + 2*t^7.12 + 2*t^7.203 + t^7.286 + t^7.714 + t^7.895 + t^7.977 + 4*t^8.06 + 3*t^8.143 + 2*t^8.226 + t^8.24 + t^8.308 + t^8.323 + t^8.391 + 4*t^8.406 + t^8.489 - t^8.654 + t^8.737 + 2*t^8.752 + t^8.82 - t^8.834 + t^8.902 - 5*t^8.917 - t^4.286/y - t^6.857/y - t^7.203/y + t^7.368/y + t^7.714/y + (2*t^8.489)/y + t^8.571/y + t^8.834/y + (2*t^8.917)/y - t^4.286*y - t^6.857*y - t^7.203*y + t^7.368*y + t^7.714*y + 2*t^8.489*y + t^8.571*y + t^8.834*y + 2*t^8.917*y | t^2.571 + (2*t^2.917)/g1 + t^3. + t^3.774/g1 + t^3.857 + g1*t^3.94 + t^4.12/g1^2 + t^4.203/g1 + 2*t^4.286 + g1*t^4.368 + g1^2*t^4.451 + t^5.143 + (2*t^5.489)/g1 + t^5.571 + (2*t^5.834)/g1^2 - 2*t^6. - 2*g1*t^6.083 - g1^2*t^6.166 + (3*t^6.692)/g1^2 + (3*t^6.774)/g1 + 3*t^6.857 + g1*t^6.94 + g1^2*t^7.023 + (2*t^7.037)/g1^3 + (2*t^7.12)/g1^2 + (2*t^7.203)/g1 + t^7.286 + t^7.714 + t^7.895/g1^3 + t^7.977/g1^2 + (4*t^8.06)/g1 + 3*t^8.143 + 2*g1*t^8.226 + t^8.24/g1^4 + g1^2*t^8.308 + t^8.323/g1^3 + g1^3*t^8.391 + (4*t^8.406)/g1^2 + t^8.489/g1 - g1*t^8.654 + g1^2*t^8.737 + (2*t^8.752)/g1^3 + g1^3*t^8.82 - t^8.834/g1^2 + g1^4*t^8.902 - (5*t^8.917)/g1 - t^4.286/y - t^6.857/y - t^7.203/(g1*y) + (g1*t^7.368)/y + t^7.714/y + (2*t^8.489)/(g1*y) + t^8.571/y + t^8.834/(g1^2*y) + (2*t^8.917)/(g1*y) - t^4.286*y - t^6.857*y - (t^7.203*y)/g1 + g1*t^7.368*y + t^7.714*y + (2*t^8.489*y)/g1 + t^8.571*y + (t^8.834*y)/g1^2 + (2*t^8.917*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 |
---|---|---|---|---|---|---|---|---|
722 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 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]] | 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^4.286/y - t^4.286*y | detail | {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} |
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 |
---|---|---|---|---|---|---|---|---|---|
268 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.6707 | 0.8047 | 0.8336 | [M:[1.0, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | t^2.571 + 3*t^3. + 3*t^3.857 + 6*t^4.286 + t^5.143 + 3*t^5.571 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3681/5488, c: 276/343, M1: 1, M2: 1, M3: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |