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
59380	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$	1.4185	1.6607	0.8542	[X:[], M:[0.875], q:[0.4306, 0.4306], qb:[0.5694, 0.3194], phi:[0.375]]	[X:[], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]]	1	{a: 23241/16384, c: 27209/16384, M1: 7/8, q1: 31/72, q2: 31/72, qb1: 41/72, qb2: 23/72, phi1: 3/8}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{5}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-1	3*t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + 2*t^4.12 + 8*t^4.5 + t^4.75 + 3*t^4.88 + 2*t^5. + 8*t^5.25 + t^5.5 + 8*t^5.62 + t^5.87 - t^6. + 2*t^6.13 + t^6.25 + 9*t^6.38 + t^6.62 + 20*t^6.75 - t^6.88 + 4*t^7. + 5*t^7.12 + 10*t^7.25 - t^7.37 + 24*t^7.5 + t^7.63 + 4*t^7.75 + 21*t^7.88 + 6*t^8.12 - 2*t^8.25 + 9*t^8.38 + 2*t^8.5 + 25*t^8.62 - 4*t^8.75 + 5*t^8.87 - t^4.12/y - t^5.25/y - (3*t^6.38)/y - t^6.75/y - (2*t^7.12)/y + (3*t^7.88)/y + (4*t^8.25)/y - t^4.12*y - t^5.25*y - 3*t^6.38*y - t^6.75*y - 2*t^7.12*y + 3*t^7.88*y + 4*t^8.25*y	3*t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + 2*t^4.12 + 8*t^4.5 + g1^3*t^4.75 + 3*t^4.88 + (2*t^5.)/g1^3 + 8*t^5.25 + g1^3*t^5.5 + 8*t^5.62 + g1^3*t^5.87 - t^6. + (2*t^6.13)/g1^3 + g1^3*t^6.25 + 9*t^6.38 + g1^3*t^6.62 + 20*t^6.75 - t^6.88/g1^3 + 4*g1^3*t^7. + 5*t^7.12 + (10*t^7.25)/g1^3 - g1^3*t^7.37 + 24*t^7.5 + t^7.63/g1^3 + 4*g1^3*t^7.75 + 21*t^7.88 + 6*g1^3*t^8.12 - 2*t^8.25 + (9*t^8.38)/g1^3 + 2*g1^3*t^8.5 + 25*t^8.62 - (4*t^8.75)/g1^3 + 5*g1^3*t^8.87 - t^4.12/y - t^5.25/y - (3*t^6.38)/y - t^6.75/y - (2*t^7.12)/y + (3*t^7.88)/y + (4*t^8.25)/y - t^4.12*y - t^5.25*y - 3*t^6.38*y - t^6.75*y - 2*t^7.12*y + 3*t^7.88*y + 4*t^8.25*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
60952	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{2}$	1.4073	1.6417	0.8572	[X:[], M:[0.875, 1.125], q:[0.4306, 0.4306], qb:[0.5694, 0.3194], phi:[0.375]]	3*t^2.25 + 2*t^3. + 3*t^3.38 + 2*t^4.12 + 8*t^4.5 + t^4.75 + 2*t^5. + 7*t^5.25 + t^5.5 + 9*t^5.62 + t^5.87 - 3*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail	{a: 11529/8192, c: 13449/8192, M1: 7/8, M2: 9/8, q1: 31/72, q2: 31/72, qb1: 41/72, qb2: 23/72, phi1: 3/8}
61141	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.3995	1.626	0.8607	[X:[], M:[0.875, 1.25], q:[0.4306, 0.4306], qb:[0.5694, 0.3194], phi:[0.375]]	2*t^2.25 + t^2.62 + 2*t^3. + 2*t^3.38 + t^3.75 + 2*t^4.12 + 5*t^4.5 + t^4.75 + 2*t^4.88 + 2*t^5. + 6*t^5.25 + t^5.5 + 6*t^5.62 + t^5.87 + t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail	{a: 22929/16384, c: 26641/16384, M1: 7/8, M2: 5/4, q1: 31/72, q2: 31/72, qb1: 41/72, qb2: 23/72, phi1: 3/8}

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
57471	SU3adj1nf2	${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$	1.4405	1.6827	0.8561	[X:[], M:[0.875], q:[0.5, 0.375], qb:[0.5, 0.375], phi:[0.375]]	2*t^2.25 + 3*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + 4*t^4.5 + 10*t^4.88 + 11*t^5.25 + 3*t^5.62 + 6*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y	detail	{a: 23601/16384, c: 27569/16384, M1: 7/8, q1: 1/2, q2: 3/8, qb1: 1/2, qb2: 3/8, phi1: 3/8}