Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
1116	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.6876	0.8535	0.8057	[M:[0.9934, 1.1111, 1.0066, 0.7844, 0.9934, 0.6798], q:[0.7778, 0.451], qb:[0.5556, 0.4379], phi:[0.4444]]	[M:[[1], [0], [-1], [-1], [1], [-2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$	${}$	-2	t^2.039 + t^2.353 + t^2.667 + 2*t^2.98 + t^3.333 + t^3.686 + 2*t^4. + t^4.039 + t^4.079 + t^4.314 + t^4.353 + t^4.393 + t^4.667 + 2*t^4.706 + 3*t^5.02 + 3*t^5.333 + t^5.373 + t^5.647 + t^5.726 + 2*t^5.961 - 2*t^6. + 2*t^6.039 + t^6.079 + t^6.118 + 2*t^6.353 + 2*t^6.393 + t^6.432 + 3*t^6.667 + 3*t^6.706 + 2*t^6.746 + 2*t^6.98 + 2*t^7.02 + 4*t^7.059 + t^7.333 + 4*t^7.373 + t^7.412 + 4*t^7.686 + t^7.726 + t^7.765 - t^7.961 + 5*t^8. + 3*t^8.079 + t^8.118 + t^8.158 + 2*t^8.314 - 2*t^8.353 + 3*t^8.393 + 2*t^8.432 + t^8.472 - 2*t^8.667 + 4*t^8.706 + 4*t^8.746 + 2*t^8.785 + 2*t^8.941 - 5*t^8.98 - t^4.333/y - t^6.373/y - t^6.686/y - t^7.314/y + t^7.353/y + t^7.393/y + t^7.706/y + t^7.98/y + (3*t^8.02)/y + t^8.294/y + (2*t^8.333)/y + t^8.373/y - t^8.412/y + (2*t^8.647)/y + t^8.686/y + t^8.961/y - t^4.333*y - t^6.373*y - t^6.686*y - t^7.314*y + t^7.353*y + t^7.393*y + t^7.706*y + t^7.98*y + 3*t^8.02*y + t^8.294*y + 2*t^8.333*y + t^8.373*y - t^8.412*y + 2*t^8.647*y + t^8.686*y + t^8.961*y	t^2.039/g1^2 + t^2.353/g1 + t^2.667 + 2*g1*t^2.98 + t^3.333 + t^3.686/g1 + 2*t^4. + t^4.039/g1^2 + t^4.079/g1^4 + g1*t^4.314 + t^4.353/g1 + t^4.393/g1^3 + t^4.667 + (2*t^4.706)/g1^2 + (3*t^5.02)/g1 + 3*t^5.333 + t^5.373/g1^2 + g1*t^5.647 + t^5.726/g1^3 + 2*g1^2*t^5.961 - 2*t^6. + (2*t^6.039)/g1^2 + t^6.079/g1^4 + t^6.118/g1^6 + (2*t^6.353)/g1 + (2*t^6.393)/g1^3 + t^6.432/g1^5 + 3*t^6.667 + (3*t^6.706)/g1^2 + (2*t^6.746)/g1^4 + 2*g1*t^6.98 + (2*t^7.02)/g1 + (4*t^7.059)/g1^3 + t^7.333 + (4*t^7.373)/g1^2 + t^7.412/g1^4 + (4*t^7.686)/g1 + t^7.726/g1^3 + t^7.765/g1^5 - g1^2*t^7.961 + 5*t^8. + (3*t^8.079)/g1^4 + t^8.118/g1^6 + t^8.158/g1^8 + 2*g1*t^8.314 - (2*t^8.353)/g1 + (3*t^8.393)/g1^3 + (2*t^8.432)/g1^5 + t^8.472/g1^7 - 2*t^8.667 + (4*t^8.706)/g1^2 + (4*t^8.746)/g1^4 + (2*t^8.785)/g1^6 + 2*g1^3*t^8.941 - 5*g1*t^8.98 - t^4.333/y - t^6.373/(g1^2*y) - t^6.686/(g1*y) - (g1*t^7.314)/y + t^7.353/(g1*y) + t^7.393/(g1^3*y) + t^7.706/(g1^2*y) + (g1*t^7.98)/y + (3*t^8.02)/(g1*y) + (g1^2*t^8.294)/y + (2*t^8.333)/y + t^8.373/(g1^2*y) - t^8.412/(g1^4*y) + (2*g1*t^8.647)/y + t^8.686/(g1*y) + (g1^2*t^8.961)/y - t^4.333*y - (t^6.373*y)/g1^2 - (t^6.686*y)/g1 - g1*t^7.314*y + (t^7.353*y)/g1 + (t^7.393*y)/g1^3 + (t^7.706*y)/g1^2 + g1*t^7.98*y + (3*t^8.02*y)/g1 + g1^2*t^8.294*y + 2*t^8.333*y + (t^8.373*y)/g1^2 - (t^8.412*y)/g1^4 + 2*g1*t^8.647*y + (t^8.686*y)/g1 + g1^2*t^8.961*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
2144	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$	0.6705	0.8223	0.8154	[M:[0.9841, 1.1111, 1.0159, 0.7937, 0.9841, 0.6984, 1.2063], q:[0.7778, 0.4603], qb:[0.5556, 0.4286], phi:[0.4444]]	t^2.095 + t^2.667 + 2*t^2.952 + t^3.333 + t^3.619 + t^3.714 + 2*t^4. + t^4.095 + t^4.19 + t^4.286 + t^4.381 + t^4.667 + t^4.762 + 2*t^5.048 + t^5.333 + t^5.429 + t^5.619 + t^5.81 + 2*t^5.905 - 2*t^6. - t^4.333/y - t^4.333*y	detail	{a: 1577/2352, c: 967/1176, M1: 62/63, M2: 10/9, M3: 64/63, M4: 50/63, M5: 62/63, M6: 44/63, M7: 76/63, q1: 7/9, q2: 29/63, qb1: 5/9, qb2: 3/7, phi1: 4/9}

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

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

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
692	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$	0.6669	0.8127	0.8206	[M:[0.9899, 1.1111, 1.0101, 0.7879, 0.9899], q:[0.7778, 0.4545], qb:[0.5556, 0.4343], phi:[0.4444]]	t^2.364 + t^2.667 + 2*t^2.97 + t^3.333 + t^3.697 + t^3.939 + 2*t^4. + t^4.061 + t^4.303 + t^4.364 + t^4.667 + t^4.727 + t^5.03 + 3*t^5.333 + t^5.636 + 2*t^5.939 - 2*t^6. - t^4.333/y - t^4.333*y	detail	{a: 3169/4752, c: 1931/2376, M1: 98/99, M2: 10/9, M3: 100/99, M4: 26/33, M5: 98/99, q1: 7/9, q2: 5/11, qb1: 5/9, qb2: 43/99, phi1: 4/9}