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
57301	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$	1.4323	1.6302	0.8786	[X:[1.3333], M:[0.8333], q:[0.4167, 0.5833], qb:[0.4167, 0.5833], phi:[0.3333]]	[X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2	{a: 275/192, c: 313/192, X1: 4/3, M1: 5/6, q1: 5/12, q2: 7/12, qb1: 5/12, qb2: 7/12, phi1: 1/3}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$	4	2*t^2.5 + 3*t^3. + t^3.5 + 3*t^4. + 2*t^4.5 + 5*t^5. + 2*t^5.25 + 5*t^5.5 + 2*t^5.75 + 4*t^6. + 2*t^6.25 + 5*t^6.5 + 4*t^6.75 + 11*t^7. + 12*t^7.5 + 2*t^7.75 + 16*t^8. + 6*t^8.25 + 9*t^8.5 + 4*t^8.75 - t^4./y - t^5./y - (2*t^6.5)/y - (3*t^7.)/y - (2*t^7.5)/y - (2*t^8.)/y + (5*t^8.5)/y - t^4.*y - t^5.*y - 2*t^6.5*y - 3*t^7.*y - 2*t^7.5*y - 2*t^8.*y + 5*t^8.5*y	2*t^2.5 + t^3. + (g1*t^3.)/g2 + (g2*t^3.)/g1 + t^3.5 + t^4. + (g1*t^4.)/g2 + (g2*t^4.)/g1 + 2*t^4.5 + 3*t^5. + (g1*t^5.)/g2 + (g2*t^5.)/g1 + t^5.25/(g1^2*g2) + g1^2*g2*t^5.25 + 3*t^5.5 + (g1*t^5.5)/g2 + (g2*t^5.5)/g1 + t^5.75/(g1*g2^2) + g1*g2^2*t^5.75 + (g1^2*t^6.)/g2^2 + (g1*t^6.)/g2 + (g2*t^6.)/g1 + (g2^2*t^6.)/g1^2 + t^6.25/(g1^2*g2) + g1^2*g2*t^6.25 + 3*t^6.5 + (g1*t^6.5)/g2 + (g2*t^6.5)/g1 + t^6.75/g1^3 + g1^3*t^6.75 + t^6.75/(g1*g2^2) + g1*g2^2*t^6.75 + 5*t^7. + (g1^2*t^7.)/g2^2 + (2*g1*t^7.)/g2 + (2*g2*t^7.)/g1 + (g2^2*t^7.)/g1^2 - t^7.25/(g1*g2^2) + t^7.25/(g1^2*g2) + g1^2*g2*t^7.25 - g1*g2^2*t^7.25 + 6*t^7.5 + (3*g1*t^7.5)/g2 + (3*g2*t^7.5)/g1 + t^7.75/(g1*g2^2) + g1*g2^2*t^7.75 + 8*t^8. + (2*g1^2*t^8.)/g2^2 + (2*g1*t^8.)/g2 + (2*g2*t^8.)/g1 + (2*g2^2*t^8.)/g1^2 + t^8.25/g2^3 + t^8.25/(g1*g2^2) + t^8.25/(g1^2*g2) + g1^2*g2*t^8.25 + g1*g2^2*t^8.25 + g2^3*t^8.25 - t^8.5 + (g1^2*t^8.5)/g2^2 + (4*g1*t^8.5)/g2 + (4*g2*t^8.5)/g1 + (g2^2*t^8.5)/g1^2 + t^8.75/(g1*g2^2) + t^8.75/(g1^2*g2) + g1^2*g2*t^8.75 + g1*g2^2*t^8.75 - t^4./y - t^5./y - (2*t^6.5)/y - t^7./y - (g1*t^7.)/(g2*y) - (g2*t^7.)/(g1*y) - (2*t^7.5)/y - (g1*t^8.)/(g2*y) - (g2*t^8.)/(g1*y) + t^8.5/y + (2*g1*t^8.5)/(g2*y) + (2*g2*t^8.5)/(g1*y) - t^4.*y - t^5.*y - 2*t^6.5*y - t^7.*y - (g1*t^7.*y)/g2 - (g2*t^7.*y)/g1 - 2*t^7.5*y - (g1*t^8.*y)/g2 - (g2*t^8.*y)/g1 + t^8.5*y + (2*g1*t^8.5*y)/g2 + (2*g2*t^8.5*y)/g1

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
57937	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{1}M_{2}$	1.418	1.6055	0.8832	[X:[1.3333], M:[0.8333, 1.1667], q:[0.4167, 0.5833], qb:[0.4167, 0.5833], phi:[0.3333]]	t^2.5 + 3*t^3. + 2*t^3.5 + 3*t^4. + 2*t^4.5 + 3*t^5. + 2*t^5.25 + 2*t^5.5 + 2*t^5.75 + 4*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 363/256, c: 411/256, X1: 4/3, M1: 5/6, M2: 7/6, q1: 5/12, q2: 7/12, qb1: 5/12, qb2: 7/12, phi1: 1/3}
57938	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$	1.4466	1.6549	0.8741	[X:[1.3333], M:[0.8333, 0.8333], q:[0.4167, 0.5833], qb:[0.4167, 0.5833], phi:[0.3333]]	3*t^2.5 + 3*t^3. + 3*t^4. + 2*t^4.5 + 8*t^5. + 2*t^5.25 + 8*t^5.5 + 2*t^5.75 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 1111/768, c: 1271/768, X1: 4/3, M1: 5/6, M2: 5/6, q1: 5/12, q2: 7/12, qb1: 5/12, qb2: 7/12, phi1: 1/3}
57936	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$	1.4292	1.6271	0.8784	[X:[1.3333], M:[0.8333], q:[0.4293, 0.6187], qb:[0.404, 0.548], phi:[0.3333]]	2*t^2.5 + t^2.93 + t^3. + t^3.07 + t^3.5 + t^3.93 + t^4. + t^4.07 + 2*t^4.5 + t^4.93 + 3*t^5. + 2*t^5.07 + 2*t^5.43 + 4*t^5.5 + t^5.57 + t^5.86 + t^5.93 + t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 48295/33792, c: 54983/33792, X1: 4/3, M1: 5/6, q1: 85/198, q2: 245/396, qb1: 40/99, qb2: 217/396, phi1: 1/3}

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
47882	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4342	1.6257	0.8822	[X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]]	t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y	detail