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
57627	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	1.2686	1.3936	0.9103	[X:[1.5], M:[], q:[0.6389, 0.4722], qb:[0.8611, 0.5278], phi:[0.25]]	[X:[[0]], M:[], q:[[1], [-2]], qb:[[-1], [2]], phi:[[0]]]	1	{a: 1299/1024, c: 1427/1024, X1: 3/2, q1: 23/36, q2: 17/36, qb1: 31/36, qb2: 19/36, phi1: 1/4}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$	${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$	0	t^2.25 + t^3. + t^3.5 + t^3.75 + t^4. + t^4.25 + 4*t^4.5 + t^4.75 + 2*t^5.25 + t^5.5 + t^6.25 + 2*t^6.5 + 2*t^6.75 + 2*t^7. + 2*t^7.25 + 6*t^7.5 + t^7.75 + 4*t^8. + 6*t^8.25 + 3*t^8.5 + 3*t^8.75 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - (2*t^6.75)/y - t^7.25/y - t^7.5/y - t^7.75/y - t^8./y - (2*t^8.25)/y - t^8.5/y + t^8.75/y - t^3.75*y - t^4.5*y - t^6.*y - 2*t^6.75*y - t^7.25*y - t^7.5*y - t^7.75*y - t^8.*y - 2*t^8.25*y - t^8.5*y + t^8.75*y + t^8.25*y^2	t^2.25 + t^3. + g1^3*t^3.5 + t^3.75 + t^4./g1^3 + g1^3*t^4.25 + 4*t^4.5 + t^4.75/g1^3 + 2*t^5.25 + t^5.5/g1^3 + t^6.25/g1^3 + t^6.5/g1^6 + g1^3*t^6.5 + 2*t^6.75 + 2*g1^6*t^7. + 2*g1^3*t^7.25 + 6*t^7.5 + g1^6*t^7.75 + 4*g1^3*t^8. + 6*t^8.25 + (3*t^8.5)/g1^3 + t^8.75/g1^6 + 2*g1^3*t^8.75 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - (2*t^6.75)/y - (g1^3*t^7.25)/y - t^7.5/y - t^7.75/(g1^3*y) - (g1^3*t^8.)/y - (2*t^8.25)/y - t^8.5/(g1^3*y) + (g1^3*t^8.75)/y - t^3.75*y - t^4.5*y - t^6.*y - 2*t^6.75*y - g1^3*t^7.25*y - t^7.5*y - (t^7.75*y)/g1^3 - g1^3*t^8.*y - 2*t^8.25*y - (t^8.5*y)/g1^3 + g1^3*t^8.75*y + t^8.25*y^2

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
58614	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$	1.2876	1.4282	0.9015	[X:[1.5], M:[0.75], q:[0.6389, 0.4722], qb:[0.8611, 0.5278], phi:[0.25]]	2*t^2.25 + t^3. + t^3.5 + t^4. + t^4.25 + 6*t^4.5 + t^4.75 + 3*t^5.25 + t^5.5 + t^5.75 - t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y	detail	{a: 2637/2048, c: 2925/2048, X1: 3/2, M1: 3/4, q1: 23/36, q2: 17/36, qb1: 31/36, qb2: 19/36, phi1: 1/4}
58624	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.8379	0.9629	0.8702	[X:[1.5], M:[], q:[0.8333, 0.0833], qb:[0.6667, 0.9167], phi:[0.25]]	2*t^2.25 + 3*t^3. + 2*t^3.75 + 5*t^4.5 + 5*t^5.25 + 5*t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y	detail	{a: 429/512, c: 493/512, X1: 3/2, q1: 5/6, q2: 1/12, qb1: 2/3, qb2: 11/12, phi1: 1/4}

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
47932	SU3adj1nf2	${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$	1.3274	1.4947	0.8881	[X:[1.3871], q:[0.6577, 0.3782], qb:[0.7294, 0.3961], phi:[0.3064]]	t^2.323 + t^2.758 + t^3.161 + t^3.242 + t^3.323 + t^4.081 + 3*t^4.161 + t^4.242 + t^4.645 + 2*t^5.081 + t^5.161 + 2*t^5.484 + t^5.516 + t^5.565 + t^5.645 - t^6. - t^3.919/y - t^4.839/y - t^3.919*y - t^4.839*y	detail