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
4041	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.576	0.7323	0.7866	[X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0, 0.75], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]]	[X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 4719/8192, c: 5999/8192, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, M7: 3/4, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$	${}M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$	2	4*t^2.25 + t^2.625 + t^3. + t^3.375 + t^3.75 + 9*t^4.5 + 5*t^4.875 + 6*t^5.25 + t^5.625 + 2*t^6. + 2*t^6.375 + 15*t^6.75 + 8*t^7.125 + 13*t^7.5 + 3*t^7.875 - 2*t^8.25 - t^8.625 - t^4.125/y - (3*t^6.375)/y - t^6.75/y + (7*t^7.5)/y + (7*t^7.875)/y + (4*t^8.25)/y - t^8.625/y - t^4.125*y - 3*t^6.375*y - t^6.75*y + 7*t^7.5*y + 7*t^7.875*y + 4*t^8.25*y - t^8.625*y	4*t^2.25 + t^2.625 + t^3. + t^3.375 + t^3.75 + 9*t^4.5 + 5*t^4.875 + 6*t^5.25 + t^5.625 + 2*t^6. + 2*t^6.375 + 15*t^6.75 + 8*t^7.125 + 13*t^7.5 + 3*t^7.875 - 2*t^8.25 - t^8.625 - t^4.125/y - (3*t^6.375)/y - t^6.75/y + (7*t^7.5)/y + (7*t^7.875)/y + (4*t^8.25)/y - t^8.625/y - t^4.125*y - 3*t^6.375*y - t^6.75*y + 7*t^7.5*y + 7*t^7.875*y + 4*t^8.25*y - t^8.625*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
5589	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$	0.5649	0.7133	0.7919	[X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0, 0.75, 1.125], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]]	4*t^2.25 + t^3. + 2*t^3.375 + t^3.75 + 9*t^4.5 + t^4.875 + 5*t^5.25 + 4*t^5.625 + t^6. - t^4.125/y - t^4.125*y	detail	{a: 9255/16384, c: 11687/16384, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, M7: 3/4, M8: 9/8, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8}
5590	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$	0.5951	0.767	0.7759	[X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0, 0.75, 0.75], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]]	5*t^2.25 + t^2.625 + t^3. + t^3.375 + 14*t^4.5 + 6*t^4.875 + 7*t^5.25 + 2*t^5.625 - 2*t^6. - t^4.125/y - t^4.125*y	detail	{a: 4875/8192, c: 6283/8192, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, M7: 3/4, M8: 3/4, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, 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
1649	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{3}X_{1}$	0.557	0.6976	0.7984	[X:[1.375], M:[0.75, 1.25, 0.625, 0.875, 0.75, 1.0], q:[0.8125, 0.3125], qb:[0.9375, 0.4375], phi:[0.375]]	3*t^2.25 + t^2.625 + t^3. + t^3.375 + 2*t^3.75 + 5*t^4.5 + 4*t^4.875 + 5*t^5.25 + 4*t^6. - t^4.125/y - t^4.125*y	detail	{a: 4563/8192, c: 5715/8192, X1: 11/8, M1: 3/4, M2: 5/4, M3: 5/8, M4: 7/8, M5: 3/4, M6: 1, q1: 13/16, q2: 5/16, qb1: 15/16, qb2: 7/16, phi1: 3/8}