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
46886	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$	0.7097	0.8751	0.811	[M:[0.9161, 1.0839, 1.0, 0.8322, 0.9631, 0.953], q:[0.4765, 0.6074], qb:[0.4396, 0.5604], phi:[0.479]]	[M:[[-4, -4], [4, 4], [0, 0], [-8, -8], [4, -12], [-8, 8]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$	${}$	-2	t^2.497 + t^2.748 + t^2.859 + t^2.874 + t^2.889 + t^3. + t^3.252 + t^4.075 + t^4.185 + t^4.296 + t^4.437 + t^4.548 + t^4.578 + t^4.689 + t^4.799 + t^4.94 + t^4.993 + t^5.081 + t^5.245 + t^5.356 + t^5.371 + t^5.386 + t^5.497 + t^5.623 + t^5.718 + t^5.733 + 3*t^5.748 + t^5.764 + t^5.779 + t^5.874 - 2*t^6. + t^6.126 - t^6.252 - t^6.362 - t^6.393 + t^6.571 + t^6.682 + t^6.793 + t^6.823 + 2*t^6.934 + t^6.949 + t^6.964 + 2*t^7.044 + t^7.06 + 2*t^7.075 + t^7.155 + t^7.17 + 2*t^7.185 - t^7.201 + 2*t^7.296 + t^7.326 + t^7.407 + 2*t^7.437 + t^7.452 + t^7.467 + t^7.49 + 2*t^7.548 + t^7.578 + t^7.658 - t^7.704 + t^7.742 + t^7.799 + t^7.83 + t^7.852 + t^7.868 + t^7.883 - t^7.925 + t^7.94 + t^7.956 + t^7.971 + t^7.993 - t^8.066 + t^8.119 + t^8.15 - t^8.207 + t^8.215 + t^8.23 + 3*t^8.245 + 2*t^8.26 + t^8.275 + t^8.333 + 2*t^8.371 - t^8.386 + t^8.481 - 2*t^8.497 + t^8.512 + t^8.577 + 2*t^8.592 + t^8.607 + 4*t^8.623 + t^8.638 + 2*t^8.653 + t^8.668 + t^8.733 - 3*t^8.748 + t^8.764 + t^8.844 - 5*t^8.859 - 4*t^8.889 + 2*t^8.985 - t^4.437/y - t^6.934/y - t^7.296/y - t^7.311/y - t^7.326/y + t^7.548/y + t^7.563/y + t^7.578/y + t^7.94/y + t^8.245/y + t^8.356/y + t^8.371/y + t^8.386/y + t^8.497/y + t^8.607/y + t^8.623/y + t^8.638/y + t^8.733/y + (3*t^8.748)/y + t^8.764/y + t^8.859/y + t^8.874/y + t^8.889/y - t^4.437*y - t^6.934*y - t^7.296*y - t^7.311*y - t^7.326*y + t^7.548*y + t^7.563*y + t^7.578*y + t^7.94*y + t^8.245*y + t^8.356*y + t^8.371*y + t^8.386*y + t^8.497*y + t^8.607*y + t^8.623*y + t^8.638*y + t^8.733*y + 3*t^8.748*y + t^8.764*y + t^8.859*y + t^8.874*y + t^8.889*y	t^2.497/(g1^8*g2^8) + t^2.748/(g1^4*g2^4) + (g2^8*t^2.859)/g1^8 + t^2.874/(g1^2*g2^2) + (g1^4*t^2.889)/g2^12 + t^3. + g1^4*g2^4*t^3.252 + t^4.075/(g1*g2^17) + t^4.185/(g1^5*g2^5) + (g2^7*t^4.296)/g1^9 + t^4.437/(g1*g2) + (g2^11*t^4.548)/g1^5 + (g1^7*t^4.578)/g2^9 + g1^3*g2^3*t^4.689 + (g2^15*t^4.799)/g1 + g1^7*g2^7*t^4.94 + t^4.993/(g1^16*g2^16) + (g1^15*t^5.081)/g2 + t^5.245/(g1^12*g2^12) + t^5.356/g1^16 + t^5.371/(g1^10*g2^10) + t^5.386/(g1^4*g2^20) + t^5.497/(g1^8*g2^8) + t^5.623/(g1^6*g2^6) + (g2^16*t^5.718)/g1^16 + (g2^6*t^5.733)/g1^10 + (3*t^5.748)/(g1^4*g2^4) + (g1^2*t^5.764)/g2^14 + (g1^8*t^5.779)/g2^24 + t^5.874/(g1^2*g2^2) - 2*t^6. + g1^2*g2^2*t^6.126 - g1^4*g2^4*t^6.252 - g2^16*t^6.362 - (g1^12*t^6.393)/g2^4 + t^6.571/(g1^9*g2^25) + t^6.682/(g1^13*g2^13) + t^6.793/(g1^17*g2) + t^6.823/(g1^5*g2^21) + (2*t^6.934)/(g1^9*g2^9) + t^6.949/(g1^3*g2^19) + (g1^3*t^6.964)/g2^29 + (2*g2^3*t^7.044)/g1^13 + t^7.06/(g1^7*g2^7) + (2*t^7.075)/(g1*g2^17) + (g2^15*t^7.155)/g1^17 + (g2^5*t^7.17)/g1^11 + (2*t^7.185)/(g1^5*g2^5) - (g1*t^7.201)/g2^15 + (2*g2^7*t^7.296)/g1^9 + (g1^3*t^7.326)/g2^13 + (g2^19*t^7.407)/g1^13 + (2*t^7.437)/(g1*g2) + (g1^5*t^7.452)/g2^11 + (g1^11*t^7.467)/g2^21 + t^7.49/(g1^24*g2^24) + (2*g2^11*t^7.548)/g1^5 + (g1^7*t^7.578)/g2^9 + (g2^23*t^7.658)/g1^9 - (g1^9*t^7.704)/g2^7 + t^7.742/(g1^20*g2^20) + (g2^15*t^7.799)/g1 + (g1^11*t^7.83)/g2^5 + t^7.852/(g1^24*g2^8) + t^7.868/(g1^18*g2^18) + t^7.883/(g1^12*g2^28) - g1*g2^17*t^7.925 + g1^7*g2^7*t^7.94 + (g1^13*t^7.956)/g2^3 + (g1^19*t^7.971)/g2^13 + t^7.993/(g1^16*g2^16) - g1^9*g2^9*t^8.066 + t^8.119/(g1^14*g2^14) + t^8.15/(g1^2*g2^34) - g1^17*g2*t^8.207 + (g2^8*t^8.215)/g1^24 + t^8.23/(g1^18*g2^2) + (3*t^8.245)/(g1^12*g2^12) + (2*t^8.26)/(g1^6*g2^22) + t^8.275/g2^32 + g1^19*g2^3*t^8.333 + (2*t^8.371)/(g1^10*g2^10) - t^8.386/(g1^4*g2^20) + (g2^2*t^8.481)/g1^14 - (2*t^8.497)/(g1^8*g2^8) + t^8.512/(g1^2*g2^18) + (g2^24*t^8.577)/g1^24 + (2*g2^14*t^8.592)/g1^18 + (g2^4*t^8.607)/g1^12 + (4*t^8.623)/(g1^6*g2^6) + t^8.638/g2^16 + (2*g1^6*t^8.653)/g2^26 + (g1^12*t^8.668)/g2^36 + (g2^6*t^8.733)/g1^10 - (3*t^8.748)/(g1^4*g2^4) + (g1^2*t^8.764)/g2^14 + (g2^18*t^8.844)/g1^14 - (5*g2^8*t^8.859)/g1^8 - (4*g1^4*t^8.889)/g2^12 + (2*g2^10*t^8.985)/g1^6 - t^4.437/(g1*g2*y) - t^6.934/(g1^9*g2^9*y) - (g2^7*t^7.296)/(g1^9*y) - t^7.311/(g1^3*g2^3*y) - (g1^3*t^7.326)/(g2^13*y) + (g2^11*t^7.548)/(g1^5*y) + (g1*g2*t^7.563)/y + (g1^7*t^7.578)/(g2^9*y) + (g1^7*g2^7*t^7.94)/y + t^8.245/(g1^12*g2^12*y) + t^8.356/(g1^16*y) + t^8.371/(g1^10*g2^10*y) + t^8.386/(g1^4*g2^20*y) + t^8.497/(g1^8*g2^8*y) + (g2^4*t^8.607)/(g1^12*y) + t^8.623/(g1^6*g2^6*y) + t^8.638/(g2^16*y) + (g2^6*t^8.733)/(g1^10*y) + (3*t^8.748)/(g1^4*g2^4*y) + (g1^2*t^8.764)/(g2^14*y) + (g2^8*t^8.859)/(g1^8*y) + t^8.874/(g1^2*g2^2*y) + (g1^4*t^8.889)/(g2^12*y) - (t^4.437*y)/(g1*g2) - (t^6.934*y)/(g1^9*g2^9) - (g2^7*t^7.296*y)/g1^9 - (t^7.311*y)/(g1^3*g2^3) - (g1^3*t^7.326*y)/g2^13 + (g2^11*t^7.548*y)/g1^5 + g1*g2*t^7.563*y + (g1^7*t^7.578*y)/g2^9 + g1^7*g2^7*t^7.94*y + (t^8.245*y)/(g1^12*g2^12) + (t^8.356*y)/g1^16 + (t^8.371*y)/(g1^10*g2^10) + (t^8.386*y)/(g1^4*g2^20) + (t^8.497*y)/(g1^8*g2^8) + (g2^4*t^8.607*y)/g1^12 + (t^8.623*y)/(g1^6*g2^6) + (t^8.638*y)/g2^16 + (g2^6*t^8.733*y)/g1^10 + (3*t^8.748*y)/(g1^4*g2^4) + (g1^2*t^8.764*y)/g2^14 + (g2^8*t^8.859*y)/g1^8 + (t^8.874*y)/(g1^2*g2^2) + (g1^4*t^8.889*y)/g2^12

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
55316	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$	0.7181	0.8914	0.8055	[M:[0.9004, 1.0996, 1.0, 0.8008, 0.9573, 0.9431, 0.9004], q:[0.4716, 0.628], qb:[0.4289, 0.5711], phi:[0.4751]]	t^2.403 + 2*t^2.701 + t^2.829 + t^2.851 + t^2.872 + t^3. + t^3.998 + t^4.127 + t^4.255 + t^4.425 + t^4.553 + t^4.596 + t^4.724 + t^4.805 + t^4.852 + t^5.023 + 2*t^5.104 + t^5.193 + t^5.232 + t^5.253 + t^5.274 + 3*t^5.403 + t^5.531 + 2*t^5.552 + t^5.573 + t^5.659 + t^5.68 + 3*t^5.701 + t^5.723 + t^5.744 + t^5.851 - 3*t^6. - t^4.425/y - t^4.425*y	detail
50855	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{4}M_{5}$	0.6974	0.8566	0.8141	[M:[0.9722, 1.0278, 1.0, 0.9445, 1.0555, 0.9167], q:[0.4584, 0.5694], qb:[0.5139, 0.4861], phi:[0.4931]]	t^2.75 + t^2.833 + t^2.917 + t^2.958 + t^3. + t^3.083 + t^3.167 + t^4.229 + t^4.313 + 2*t^4.396 + t^4.479 + 2*t^4.562 + t^4.646 + t^4.729 + t^4.896 + t^5.5 + t^5.584 + t^5.667 + t^5.708 + t^5.75 + t^5.792 + t^5.833 + t^5.875 + 2*t^5.917 + t^5.958 - t^6. - t^4.479/y - t^4.479*y	detail
52003	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{6}\phi_{1}^{2}$	0.7048	0.8677	0.8122	[M:[0.9391, 1.0609, 1.0, 0.8782, 0.9086, 1.0305], q:[0.5152, 0.5457], qb:[0.4239, 0.5761], phi:[0.4848]]	t^2.635 + t^2.726 + t^2.817 + t^2.909 + t^3. + t^3.091 + t^3.183 + t^3.997 + t^4.272 + t^4.363 + t^4.454 + t^4.546 + t^4.637 + 2*t^4.728 + t^4.82 + t^4.911 + t^5.269 + t^5.36 + 2*t^5.452 + t^5.543 + 2*t^5.635 + 2*t^5.726 + 3*t^5.817 + t^5.909 - t^6. - t^4.454/y - t^4.454*y	detail

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
46434	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$	0.7674	0.9598	0.7995	[M:[0.6694, 0.8347, 1.0, 0.8347, 0.8347, 0.8347], q:[0.6653, 0.6653], qb:[0.5, 0.5], phi:[0.4174]]	t^2.008 + 5*t^2.504 + t^3. + t^4.017 + 3*t^4.252 + 5*t^4.512 + 4*t^4.748 + 16*t^5.008 + 3*t^5.244 + t^5.504 - 7*t^6. - t^4.252/y - t^4.252*y	detail