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
2974	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6936	0.9082	0.7637	[M:[0.8256, 1.1744, 0.8256, 0.7829, 0.6744, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]]	[M:[[3], [-3], [3], [-2], [-3], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.023 + 3*t^2.349 + 2*t^2.477 + t^2.674 + t^3. + t^3.326 + t^3.849 + 2*t^4.046 + t^4.174 + t^4.302 + 3*t^4.372 + 2*t^4.5 + 7*t^4.698 + 6*t^4.826 + 3*t^4.954 + 4*t^5.023 + 2*t^5.151 + 5*t^5.349 + 2*t^5.477 + 3*t^5.674 + t^5.802 - 2*t^6. + 2*t^6.069 - t^6.128 + 3*t^6.198 + t^6.326 + 6*t^6.395 + 6*t^6.523 + 3*t^6.651 + 8*t^6.721 + 2*t^6.779 + 6*t^6.849 + 2*t^6.977 + 14*t^7.046 + 12*t^7.174 + 7*t^7.302 + 10*t^7.372 + 4*t^7.431 + 5*t^7.5 + 2*t^7.628 + 10*t^7.698 + 5*t^7.826 + t^7.895 + 2*t^7.954 + 4*t^8.023 + 3*t^8.093 + t^8.151 + t^8.221 + t^8.279 - 6*t^8.349 + 6*t^8.418 - 7*t^8.477 + 8*t^8.546 - t^8.605 - 2*t^8.674 + 14*t^8.744 - t^8.802 + 13*t^8.872 - t^4.5/y - t^6.523/y - (2*t^6.849)/y - t^6.977/y + (3*t^7.372)/y + (2*t^7.5)/y + (4*t^7.698)/y + (6*t^7.826)/y + t^7.954/y + (5*t^8.023)/y + (4*t^8.151)/y + (4*t^8.349)/y + (3*t^8.477)/y - t^8.546/y + (4*t^8.674)/y + (2*t^8.802)/y - t^8.872/y - t^4.5*y - t^6.523*y - 2*t^6.849*y - t^6.977*y + 3*t^7.372*y + 2*t^7.5*y + 4*t^7.698*y + 6*t^7.826*y + t^7.954*y + 5*t^8.023*y + 4*t^8.151*y + 4*t^8.349*y + 3*t^8.477*y - t^8.546*y + 4*t^8.674*y + 2*t^8.802*y - t^8.872*y	t^2.023/g1^3 + (3*t^2.349)/g1^2 + 2*g1^3*t^2.477 + t^2.674/g1 + t^3. + g1*t^3.326 + t^3.849/g1^2 + (2*t^4.046)/g1^6 + t^4.174/g1 + g1^4*t^4.302 + (3*t^4.372)/g1^5 + 2*t^4.5 + (7*t^4.698)/g1^4 + 6*g1*t^4.826 + 3*g1^6*t^4.954 + (4*t^5.023)/g1^3 + 2*g1^2*t^5.151 + (5*t^5.349)/g1^2 + 2*g1^3*t^5.477 + (3*t^5.674)/g1 + g1^4*t^5.802 - 2*t^6. + (2*t^6.069)/g1^9 - g1^5*t^6.128 + (3*t^6.198)/g1^4 + g1*t^6.326 + (6*t^6.395)/g1^8 + (6*t^6.523)/g1^3 + 3*g1^2*t^6.651 + (8*t^6.721)/g1^7 + 2*g1^7*t^6.779 + (6*t^6.849)/g1^2 + 2*g1^3*t^6.977 + (14*t^7.046)/g1^6 + (12*t^7.174)/g1 + 7*g1^4*t^7.302 + (10*t^7.372)/g1^5 + 4*g1^9*t^7.431 + 5*t^7.5 + 2*g1^5*t^7.628 + (10*t^7.698)/g1^4 + 5*g1*t^7.826 + t^7.895/g1^8 + 2*g1^6*t^7.954 + (4*t^8.023)/g1^3 + (3*t^8.093)/g1^12 + g1^2*t^8.151 + t^8.221/g1^7 + g1^7*t^8.279 - (6*t^8.349)/g1^2 + (6*t^8.418)/g1^11 - 7*g1^3*t^8.477 + (8*t^8.546)/g1^6 - g1^8*t^8.605 - (2*t^8.674)/g1 + (14*t^8.744)/g1^10 - g1^4*t^8.802 + (13*t^8.872)/g1^5 - t^4.5/y - t^6.523/(g1^3*y) - (2*t^6.849)/(g1^2*y) - (g1^3*t^6.977)/y + (3*t^7.372)/(g1^5*y) + (2*t^7.5)/y + (4*t^7.698)/(g1^4*y) + (6*g1*t^7.826)/y + (g1^6*t^7.954)/y + (5*t^8.023)/(g1^3*y) + (4*g1^2*t^8.151)/y + (4*t^8.349)/(g1^2*y) + (3*g1^3*t^8.477)/y - t^8.546/(g1^6*y) + (4*t^8.674)/(g1*y) + (2*g1^4*t^8.802)/y - t^8.872/(g1^5*y) - t^4.5*y - (t^6.523*y)/g1^3 - (2*t^6.849*y)/g1^2 - g1^3*t^6.977*y + (3*t^7.372*y)/g1^5 + 2*t^7.5*y + (4*t^7.698*y)/g1^4 + 6*g1*t^7.826*y + g1^6*t^7.954*y + (5*t^8.023*y)/g1^3 + 4*g1^2*t^8.151*y + (4*t^8.349*y)/g1^2 + 3*g1^3*t^8.477*y - (t^8.546*y)/g1^6 + (4*t^8.674*y)/g1 + 2*g1^4*t^8.802*y - (t^8.872*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
3578	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{5}X_{1}$	0.6682	0.8635	0.7738	[X:[1.375], M:[0.875, 1.125, 0.875, 0.75, 0.625, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]]	3*t^2.25 + 3*t^2.625 + t^3. + t^3.375 + 2*t^3.75 + 2*t^4.125 + 7*t^4.5 + 9*t^4.875 + 9*t^5.25 + 4*t^5.625 + 4*t^6. - t^4.5/y - t^4.5*y	detail	{a: 10947/16384, c: 14147/16384, X1: 11/8, M1: 7/8, M2: 9/8, M3: 7/8, M4: 3/4, M5: 5/8, M6: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2}

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
1936	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$	0.6763	0.877	0.7712	[M:[0.8166, 1.1834, 0.8166, 0.789, 0.6834], q:[0.75, 0.4334], qb:[0.3555, 0.461], phi:[0.5]]	t^2.05 + 2*t^2.367 + 2*t^2.45 + t^2.683 + t^3. + t^3.317 + t^3.633 + t^3.867 + 2*t^4.101 + t^4.183 + t^4.266 + 2*t^4.417 + 2*t^4.5 + 4*t^4.734 + 4*t^4.817 + 3*t^4.899 + 3*t^5.05 + 2*t^5.133 + 4*t^5.367 + 2*t^5.45 + 3*t^5.683 + t^5.766 - t^4.5/y - t^4.5*y	detail