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
934	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$	0.7172	0.8839	0.8115	[M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]]	[M:[[2, 2], [-6, -6], [-10, 2], [6, -6], [0, 0], [-2, -2]], q:[[4, -2], [-6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$	${}$	-3	t^2.401 + t^2.776 + 2*t^2.8 + t^2.825 + t^3. + t^3.399 + t^4.026 + t^4.201 + t^4.375 + t^4.4 + t^4.575 + t^4.625 + t^4.774 + t^4.799 + t^4.803 + t^4.999 + t^5.177 + 2*t^5.202 + t^5.223 + t^5.227 + t^5.551 + t^5.576 + 4*t^5.601 + t^5.626 + t^5.651 + 2*t^5.8 - 3*t^6. + t^6.2 - t^6.374 - t^6.424 + t^6.428 - t^6.599 + t^6.602 + t^6.777 + t^6.798 + t^6.802 + 2*t^6.827 + t^6.851 + t^6.976 + 2*t^7.001 + 2*t^7.026 + t^7.151 + 3*t^7.176 + 3*t^7.201 + t^7.204 - t^7.226 + t^7.35 + 2*t^7.375 + 2*t^7.425 + t^7.45 + t^7.55 + t^7.575 + t^7.578 + t^7.6 + 2*t^7.603 + t^7.625 + t^7.628 + t^7.774 + t^7.799 - t^7.824 + t^7.953 - t^7.974 + t^7.978 - t^7.999 + 4*t^8.002 + 2*t^8.024 + t^8.027 + t^8.049 + 2*t^8.052 + t^8.327 + t^8.352 + 2*t^8.377 + 2*t^8.401 - t^8.423 + 3*t^8.426 + t^8.451 + t^8.476 + 3*t^8.601 + t^8.622 - t^8.626 + t^8.651 + t^8.751 - 3*t^8.776 - 6*t^8.8 - 3*t^8.825 + t^8.829 + t^8.95 - t^8.975 - t^4.4/y - t^6.802/y - t^7.176/y - t^7.201/y - t^7.226/y + t^7.575/y + t^7.6/y + t^7.625/y + t^7.999/y + t^8.177/y + (2*t^8.202)/y + t^8.227/y + t^8.401/y + (2*t^8.576)/y + (2*t^8.601)/y + (2*t^8.626)/y + t^8.776/y + (3*t^8.8)/y + t^8.825/y - t^4.4*y - t^6.802*y - t^7.176*y - t^7.201*y - t^7.226*y + t^7.575*y + t^7.6*y + t^7.625*y + t^7.999*y + t^8.177*y + 2*t^8.202*y + t^8.227*y + t^8.401*y + 2*t^8.576*y + 2*t^8.601*y + 2*t^8.626*y + t^8.776*y + 3*t^8.8*y + t^8.825*y	t^2.401/(g1^6*g2^6) + (g1^6*t^2.776)/g2^6 + (2*t^2.8)/(g1^2*g2^2) + (g2^2*t^2.825)/g1^10 + t^3. + g1^4*g2^4*t^3.399 + t^4.026/(g1^13*g2) + t^4.201/(g1^3*g2^3) + (g1^7*t^4.375)/g2^5 + t^4.4/(g1*g2) + (g1^9*t^4.575)/g2^3 + (g2^5*t^4.625)/g1^7 + (g1^11*t^4.774)/g2 + g1^3*g2^3*t^4.799 + t^4.803/(g1^12*g2^12) + g1^5*g2^5*t^4.999 + t^5.177/g2^12 + (2*t^5.202)/(g1^8*g2^8) + (g2^11*t^5.223)/g1 + t^5.227/(g1^16*g2^4) + (g1^12*t^5.551)/g2^12 + (g1^4*t^5.576)/g2^8 + (4*t^5.601)/(g1^4*g2^4) + t^5.626/g1^12 + (g2^4*t^5.651)/g1^20 + (2*t^5.8)/(g1^2*g2^2) - 3*t^6. + g1^2*g2^2*t^6.2 - g1^12*t^6.374 - (g2^8*t^6.424)/g1^4 + t^6.428/(g1^19*g2^7) - g1^6*g2^6*t^6.599 + t^6.602/(g1^9*g2^9) + (g1*t^6.777)/g2^11 + g1^8*g2^8*t^6.798 + t^6.802/(g1^7*g2^7) + (2*t^6.827)/(g1^15*g2^3) + (g2*t^6.851)/g1^23 + (g1^3*t^6.976)/g2^9 + (2*t^7.001)/(g1^5*g2^5) + (2*t^7.026)/(g1^13*g2) + (g1^13*t^7.151)/g2^11 + (3*g1^5*t^7.176)/g2^7 + (3*t^7.201)/(g1^3*g2^3) + t^7.204/(g1^18*g2^18) - (g2*t^7.226)/g1^11 + (g1^15*t^7.35)/g2^9 + (2*g1^7*t^7.375)/g2^5 + (2*g2^3*t^7.425)/g1^9 + (g2^7*t^7.45)/g1^17 + (g1^17*t^7.55)/g2^7 + (g1^9*t^7.575)/g2^3 + t^7.578/(g1^6*g2^18) + g1*g2*t^7.6 + (2*t^7.603)/(g1^14*g2^14) + (g2^5*t^7.625)/g1^7 + t^7.628/(g1^22*g2^10) + (g1^11*t^7.774)/g2 + g1^3*g2^3*t^7.799 - (g2^7*t^7.824)/g1^5 + (g1^6*t^7.953)/g2^18 - g1^13*g2*t^7.974 + t^7.978/(g1^2*g2^14) - g1^5*g2^5*t^7.999 + (4*t^8.002)/(g1^10*g2^10) + (2*g2^9*t^8.024)/g1^3 + t^8.027/(g1^18*g2^6) + (g2^13*t^8.049)/g1^11 + (2*t^8.052)/(g1^26*g2^2) + (g1^18*t^8.327)/g2^18 + (g1^10*t^8.352)/g2^14 + (2*g1^2*t^8.377)/g2^10 + (2*t^8.401)/(g1^6*g2^6) - g1*g2^13*t^8.423 + (3*t^8.426)/(g1^14*g2^2) + (g2^2*t^8.451)/g1^22 + (g2^6*t^8.476)/g1^30 + (3*t^8.601)/(g1^4*g2^4) + g1^3*g2^15*t^8.622 - t^8.626/g1^12 + (g2^4*t^8.651)/g1^20 + (g1^14*t^8.751)/g2^10 - (3*g1^6*t^8.776)/g2^6 - (6*t^8.8)/(g1^2*g2^2) - (3*g2^2*t^8.825)/g1^10 + t^8.829/(g1^25*g2^13) + (g1^16*t^8.95)/g2^8 - (g1^8*t^8.975)/g2^4 - t^4.4/(g1*g2*y) - t^6.802/(g1^7*g2^7*y) - (g1^5*t^7.176)/(g2^7*y) - t^7.201/(g1^3*g2^3*y) - (g2*t^7.226)/(g1^11*y) + (g1^9*t^7.575)/(g2^3*y) + (g1*g2*t^7.6)/y + (g2^5*t^7.625)/(g1^7*y) + (g1^5*g2^5*t^7.999)/y + t^8.177/(g2^12*y) + (2*t^8.202)/(g1^8*g2^8*y) + t^8.227/(g1^16*g2^4*y) + t^8.401/(g1^6*g2^6*y) + (2*g1^4*t^8.576)/(g2^8*y) + (2*t^8.601)/(g1^4*g2^4*y) + (2*t^8.626)/(g1^12*y) + (g1^6*t^8.776)/(g2^6*y) + (3*t^8.8)/(g1^2*g2^2*y) + (g2^2*t^8.825)/(g1^10*y) - (t^4.4*y)/(g1*g2) - (t^6.802*y)/(g1^7*g2^7) - (g1^5*t^7.176*y)/g2^7 - (t^7.201*y)/(g1^3*g2^3) - (g2*t^7.226*y)/g1^11 + (g1^9*t^7.575*y)/g2^3 + g1*g2*t^7.6*y + (g2^5*t^7.625*y)/g1^7 + g1^5*g2^5*t^7.999*y + (t^8.177*y)/g2^12 + (2*t^8.202*y)/(g1^8*g2^8) + (t^8.227*y)/(g1^16*g2^4) + (t^8.401*y)/(g1^6*g2^6) + (2*g1^4*t^8.576*y)/g2^8 + (2*t^8.601*y)/(g1^4*g2^4) + (2*t^8.626*y)/g1^12 + (g1^6*t^8.776*y)/g2^6 + (3*t^8.8*y)/(g1^2*g2^2) + (g2^2*t^8.825*y)/g1^10

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
1432	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{6}$	0.7079	0.871	0.8128	[M:[1.0434, 0.8699, 1.0434, 0.8699, 1.0, 0.9566], q:[0.4566, 0.5], qb:[0.5, 0.6301], phi:[0.4783]]	2*t^2.61 + 2*t^2.87 + t^3. + t^3.13 + t^3.26 + t^4.175 + 2*t^4.305 + 3*t^4.435 + t^4.695 + 2*t^4.825 + t^5.216 + 3*t^5.219 + 3*t^5.479 + 5*t^5.74 + 2*t^5.87 - 3*t^6. - t^4.435/y - t^4.435*y	detail
1431	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}\phi_{1}^{2}$	0.707	0.8694	0.8131	[M:[1.0397, 0.8808, 0.8808, 1.0397, 1.0, 0.9603], q:[0.5397, 0.4205], qb:[0.5795, 0.5397], phi:[0.4801]]	2*t^2.642 + 2*t^2.881 + t^3. + t^3.119 + t^3.238 + t^3.963 + 2*t^4.321 + t^4.44 + 3*t^4.679 + 2*t^4.798 + t^4.917 + 3*t^5.285 + 3*t^5.523 + 5*t^5.762 + 2*t^5.881 - 3*t^6. - t^4.44/y - t^4.44*y	detail
1433	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.73	0.9083	0.8037	[M:[1.0785, 0.7646, 0.933, 0.9101, 1.0, 0.9215, 0.8431], q:[0.4943, 0.4272], qb:[0.5728, 0.6626], phi:[0.4608]]	t^2.294 + t^2.529 + t^2.73 + 2*t^2.765 + t^2.799 + t^3. + t^3.946 + t^4.147 + t^4.348 + t^4.382 + t^4.583 + t^4.588 + t^4.652 + t^4.819 + t^4.823 + t^4.853 + t^5.024 + 3*t^5.058 + t^5.088 + t^5.093 + t^5.26 + 2*t^5.294 + t^5.328 + t^5.358 + t^5.461 + t^5.495 + 5*t^5.529 + t^5.563 + t^5.598 + t^5.765 - 3*t^6. - t^4.382/y - t^4.382*y	detail
2088	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$	0.6075	0.7575	0.802	[X:[1.6], M:[1.2, 0.4, 0.8667, 0.7333, 1.0, 0.8], q:[0.4667, 0.3333], qb:[0.6667, 0.9333], phi:[0.4]]	t^2.2 + 2*t^2.4 + t^2.6 + t^3. + t^3.2 + t^3.6 + t^4. + t^4.2 + t^4.4 + 2*t^4.6 + 5*t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + t^5.8 - t^4.2/y - t^4.2*y	detail	{a: 243/400, c: 303/400, X1: 8/5, M1: 6/5, M2: 2/5, M3: 13/15, M4: 11/15, M5: 1, M6: 4/5, q1: 7/15, q2: 1/3, qb1: 2/3, qb2: 14/15, phi1: 2/5}

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
594	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.7114	0.8732	0.8147	[M:[1.059, 0.8231, 0.9476, 0.9345, 1.0], q:[0.4967, 0.4443], qb:[0.5557, 0.6212], phi:[0.4705]]	t^2.469 + t^2.803 + t^2.823 + t^2.843 + t^3. + t^3.177 + t^3.354 + t^4.078 + t^4.235 + t^4.392 + t^4.412 + t^4.569 + t^4.608 + t^4.746 + t^4.765 + t^4.939 + t^4.942 + t^5.139 + t^5.273 + t^5.293 + t^5.312 + t^5.607 + 3*t^5.646 + t^5.686 + t^5.823 + t^5.98 - 2*t^6. - t^4.412/y - t^4.412*y	detail